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HP Solve: Issue 27 (April 2012)

1. la the HP 41 and most HP Solve 27 Page 50 Page 4 of 5 other early calculators The HP 41 had a SIZE command which allocated memory to the number of data registers desired Memory limited SIZE to 319 The STO key was pressed when you wanted to store something in a register and you responded to a prompt for a register number This was not pure RPN but we really didn t mind Does this also demonstrate the importance of prompting The HP48 49 50 are Entry RPN and so the syntax for storing changes HP49 users will take their machine out of the box in algebraic mode and will have set up a Start variable to insure their machine will always turn on in RPN mode if they desire especially after a warm start The registers are stored in a list called reg when SIZE is run They are numbered from 0 to n size lt lt 1 LIST 0 CON OBJ DROP gt LIST reg STO gt gt 9 commands 44 0 Bytes EOFah 1000 registers created in 2 22 seconds Zero is used as a place holder for each register Register counting is from zero so if you want register 100 use 101 as the input for size sto lt lt 1 reg SWAP ROT PUT reg STO gt gt S commands 43 0 Bytes 4E76h Place the object to be stored on level two and the register number on level one and run sto rce lt lt 1 reg SWAP GET gt gt 5 commands 26 5 Bytes 9F4Qh Key the register number you have to remember what is in which
2. These Apps absolve you from creating them using custom programs Each App displays its own input form and soft menus The HP 39gII offers the following Apps 1 The Function App This App allows you to enter up to ten functions that you can use to plot 2 The Solve App This App allows you to enter up to ten functions that you solve for their roots The heart of this App is the HP Solve software that is present in many HP calculators 3 The Statistics 1 Var App This App allows you to enter data in a matrix and then select the column for which you obtain many descriptive statistics 4 The Statistics 2 Var App This App allows you to enter data in a matrix and then select the columns for which you obtain many statistics for the correlation between any two columns 5 The Inference App This App allows you to tests the means of two populations using normal and Student t tests Each set of tests can check if the two means are less equal or greater than each other 6 The Parametric App This App allows you to define pairs of parametric X and Y variables that depend of a third variable T The calculator uses the information to make parametric plots 7 The Polar App This App allows you to define polar variables and uses the information to make polar plots 8 The Sequence App This App allows you to define sequence variables and uses the information to make plots 9 The Finance App This App performs basic TVM time value of money ca
3. Woodstock Top Cat Series etc to present Case 1 Stack diagram is don t care is ENTER The CHS is retained with a stack lift and a new digit entry Case 1 2 stack levels 3 Step 1 2 3 4 5 T ae 5 a as Z y 5 5 5 X 5 5 5 2 3 Press 5 ae CHS 2 Fig 1 Case 1 HP 35A automatic stack operation HP Solve 27 Page 42 Page 1 of 4 This doesn t work because the user clearly did not enter a 2 Case 2 Stack diagram is don t care is ENTER The CHS is not retained with a stack lift and new digit entry Case 2 2 stack levels 7 Step 1 2 3 4 5 T ts ss a a 7 amp a gt 5 Y 5 5 5 X 5 5 5 2 7 Press 5 A CHS 2 Fig 2 Case 2 Classic amp Woodstock automatic stack operation This doesn t work because the User wanted a 5 Case 3 Stack diagram is don t care is ENTER The CHS terminates digit entry and a new digit entry causes a Stack lift Case 3 3 stack levels 3 Step 1 2 A ae 5 Z 5 Y 5 5 5 5 X 5 5 5 2 3 Press 5 EA CHS 2 Fig 3 Automatic stack operation Mid 1977 to present The automatic stack logic illustrated by case 3 is by far the most commonly used in terms of the large number of HP calculators that use it Note however that for this automatic stack operation sequence that includes CHS that three stack registers are used to add two numbers If the sequence of operations were ordered differe
4. into the nitty gritty of investing in the real estate market HP Solve 27 Page 12 Page of 4 If a potential investment doesnt work out on paper it wont work out in real life John Webber is a business professional and teacher within real estate development John has held many leadership positions such as Vice President of the Salt Lake Board of Realtors Chairman of the Education Committee for the Utah Association of Realtors Regional Governor for the National Association of Independent Fee Appraisers Partner at Intermountain Tax Consultants John teaches at the Salt Lake Community College and has authored several books Math for Business and Life Contemporary Business Mathematics Investment Analysis However this book won t turn investors into instant millionaires This investment strategy requires methodical thinking and patience John s philosophy I consider investing in the real estate market to be a slow but reliable opportunity to build wealth This investment strategy minimizes much of the risk that investors experience today when investing in the stock market The following is an overview of Get Rich Slow and John Webber s roadmap to financial SUCCESS Step 1 Weigh the Pros and Cons John helps his readers evaluate a variety of investment alternatives from the traditional stocks and bonds to rare precious metals and collectibles He the
5. A few examples are LED display machines 1970s machines A specific manufacturer s machines Mechanical calculators a aE HP Solve 27 Page 17 Page 1 of 12 Programmable calculators Calculators from a specific country esp Russia Unusual machines technology advances Machines with collector s value Machines of a style function set or type that appeal to the collector ee If you know a serious calculator collector you have met some of them in the pages of HP Solve in the Customer Corner column you will discover that no matter what kind of collection they have they always have afew HP s If you are an HP user you can understand why What most collectors fail to immediately recognize is the magnitude of materials that soon become a part of collecting calculators Fig 2 shows a few examples of associated items User Guides books sales literature Ads accessories Limited Editions Anniversary Editions and Foreign Editions are just a few categories of associated HP calculator collectables lt __ACtUt AT Oo r AC ADAPTE e gt F Photo by Richard J Nelson Photo by Richard J Nelson Photo by Richard J Nelson Fig 2b Assemblies Fig 2c AC Adapters Fig 2d 3 Party Basically there are three types of HP calculator collectors 1 The casual collector This is usually a long time user of HP machines who has bought many of the new models as they are introduced 2
6. A problem like Ve 31415926535942 71828182846 1 37480222744 would not be thinkable without a calculator Some root problems such as an even root of a negative number is not possible e g 13 unless expressed as an imaginary number i In practical terms i V 1 Most calculators will give an ERROR message but more advanced algebraic calculators will calculate even roots of negative numbers using complex numbers Complex numbers will be discussed in a future Fundamentals of Applied Math installment Calculating Roots Notes 1 Three hundred ninety five digits are shown here for the irrational square root of two See the link below for one million digits and a referenced link for 10 million digits http apod nasa gov htmltest gifcity sgrt2 1mil If the digits are downloaded it requires 261 pages is 1 000 158 digits and 12 502 lines The file size is 993 KB and 688 KB as a pdf file Most five digit sequences will be found if the v2 digits are searched e g the first five digits of n 7x e 5x 13x The square root of 2 has some unique and interesting properties See how it may be calculated geometry and used to approximate a as well as other properties at http en wikipedia org wiki Square_root_of_2 2 Adding mathematics expressions to text is always difficult While there are many options for doing this one common solution is to create an image and insert it into the document One technique is to type it slightly larger as
7. Page 20 Page 4 of 12 Photo by Richard J Nelson Photo by Richard J Nelson N Le gt 2 2 Photo by Richard J Nelson Photo by Richard J Nelson Fig 6 8 oz wide stand example Fig 7 Four Pioneer series machines on one 29 degree calculator stand Many old time HP calculator users especially collectors and authors have many of the machines that HP has made during the last 41 years Figs 8 and 9 show a large HP calculator stand that puts 30 machines at a convenient location to be easily found This stand is easily moved and it allows items to pile up HP Solve 27 Page 21 Page 5 of 12 around it on the desk top This space is nice for User s Guides It is a much more convenient solution to having the machines piled up in a drawer The calculator stand shown in Figs 8 amp 9 has proven to be very useful to keep a large number of calculators within easy reach The front of the stand is 8 3 4 above the desk top It is 20 wide 4 9 16 deep and the shelf is 7 1 8 high It is made of gray painted 7 16 plywood The calculator compartment is tilted back 60 degrees HP calculators are wedged shaped with the display end thicker than the keyboard end As shown there are 7 machines stacked one on top of each other The wedge effect is to have the front top machine nearly vertical Itis desirable for them to lay back for better stability For the 4 1 8 shelf depth the angle probably shoul
8. and each resistor is 1 ohm then the resistance between points A and B will be ohms or approximately 1 61803 ohms Fig 1 may be redrawn to better illustrate the series parallel connections If you start with stage 7 and work towards A amp B you may easily calculate the effective resistance of the seven stages HP Solve 27 Page 47 Pagelof 5 I connected seven stages as shown in Fig 3 The Ria recorded data is shown in Table 1 I used 10 000 ohm resistors so that I could apply a high enough A voltage to also measure the voltages of each stage EE students may make the calculations to verify my measurements All resistors are 1 ohm I used 10K ohm resistors for three reasons 1 My best meter 40 8 has 3 1 2 digits 2 I wanted to apply a voltage that was high enough to have a measureable voltage after at least seven stages and not exceed the wattage rating of the resistors I could have gone to at least 63 6 VDC with another power supply but that would require getting it out of the cabinet etc B 3 I wanted to avoid connection resistances without soldering that are a problem with 1 i Fig 2 Same ladder as shown in Fig 1 ohm resistors Determining The Golden Ratio 1 6180339887 Using Resistors With 7 Stages A 3 1 2 Digit meter showed 1 618 after the 5th stage A B All resistors 14 are 1 1 4 watt metal film 10 K ohms Fig 3 Resistors connected to determine the fir
9. been a better choice saw that on one of the YouTube videos It s amazing I can t believe I can buy a calculator for 20 on Amazon and turn it into this Of course I m just starting to figure out how to use it It s a little confusing that it uses a number of manuals made for different devices but I m starting to go through it In no way is that a complaint They ve created a very complete device with lots of functions The only thing that seems to be missing are the original financial functions For me basic TVM functions would be helpful Anyway I just ordered 3 more 30b s and 3 more overlays My plan is these will be the house standard calculator and have them where needed Something like the Harbor Freight multi meters The only hard part now is getting Leonie ed his wife used to using RPN S06 Meet Jo Vandal from Belgium Jo is an electrical engineer manager working for Philips Read how Jo has been active in the Belgium HP User Community He often attends CES and that is where we caught up with him last January when we gathered for dinner His big HP 33E 1s the largest HP calculator See photo in the article HP Solve 27 Page 49 Page 3 of 5 120110 HP Calculator Users Meet in Las Vegas during CES 2012 i a 2 At i 5 Jake Schwartz Jo Vandale Eric Smith Richard Schwartz Richard Nelson Brian Walsh Sam Kim New Jersey Belgium California California Arizona Illinois Nevada S07 HP RPN Evolves RPN itse
10. calculators The simplicity of RPN once you step over the learning hurdle HP Solve Do you have a website Yes as user group PCX we have a website http www petss be pcx which we are currently upgrading to based on a Joomla CMS to give ita new and better look In the earlier days we had the domain name www pcx be which we lost 5 years ago when our group had a dip As of today only the pages Infodays and Last Minute are up to date HP Solve What are the important aspects of your website Not many for the moment with the exception of some nice articles in the Last Minute section TET TOE HP Solve Do you write or post calculator articles on your website Yes see Last Minute and PCX Articles sections Fig 1 Big HP 33E on website HP Solve Have you had contact with HHC Contact yes at conferences and on other places but I was never at location in the US HP Solve 27 Page 39 Page 2 of 3 HP Solve How many HHCs have you attended None 6 HP Solve Do you have a calculator collection How extensive is your collection Yes a rather big one I never calculated the total cost HP Solve Do you have any special HP calculators I have two HP 35 calculators and the big HP 33E Ed As shown in Fig 1 HP Solve What does your family think of your interest in calculators They are not really interested in calculators or calculator meetings However they never hampered me in
11. classroom and be the first to find out about new HP calculating solutions and special offers Download the PDF version of newsletter articles NEW Join our Facebook Fan Page for additional tutorials videos information and more Contact the editor From the Editor Learn more about current articles and feedback from the latest Solve newsletter including a new One Minute Marvels Learn more gt ak EN Meet an HP Calculator user HP RPN Evolves Fundamentals of Meet Jo Vandal an electrical Richard J Nelson Applied Math Series engineer manager based out RPN itself is usually 10 3 saga fae n Jo has associated with HP because Richard J Nelson een active in the belgium HP has been making RPN HP User Community calculators for 41 sea oe tele cid Learn how Classical RPN problem if you do not has evolved into Entry RPN have a modern electronic calculator In this math review series it will show how a modern scientific or graphing calculator will calculate numerical roots at the press of a key Update Profile Change Email Support amp Drivers HP respects your privacy If you d like to discontinue receiving e mails from HP regarding special offers and information please unsubscribe here For more information regarding HP s privacy policy or to obtain contact information please visit our privacy statement or write to us at HP Privacy Mailbox 11445 Compaq Center Driv
12. closely as possible in MS Word and screen capturing the expression into an image program The image is then touched up and converted to a tightly cropped B amp W image The image may then be sized as desired when inserted into MS Word This process produces a more bold looking set of characters 3 Electrical engineers will use j as the imaginary unit because i is used for electrical current 4 Finical calculators use the math operations behind the y key making it easy to include this very powerful function on the keyboard 5 The officeCalc series of calculators are 14 digit calculators These machines will provide the greatest number of digits for calculating square roots Programs running on the programmable models will provide square roots of numbers to hundreds of digits usually limited by memory About the Author Richard J Nelson has written hundreds of articles on the subject of HP s calcu lators His first article was in the first issue of HP 65 Notes in June 1974 He became an RPN enthusiast with his first HP Calculator the HP 35A he re ceived in the mail from HP on July 31 1972 He remembered the HP 35A in a recent article that included previously unpublished information on this calcul we ator See http hhuc us 2007 Remembering 20The 20HP35A pdf He has also had an article published on HP s website HP Calculator Firsts See http h20331 www2 hp com Hpsub cache 392617 0 0 225 121 html HP Solve 27 Pag
13. following set of lines 1 The top line is an annunciator line It shows information like the level of battery power 2 The Title line This line displays information like the current angle mode and up down scroll indicators 3 The History lines make up five lines They display recent operations and their results You can scroll these lines up and down 4 The Edit line is the placeholder for entering and editing an expression or a command 5 The Menu key labels appear as the bottom most line This line displays the current soft menu 314159292035 39 4 o424 5006 a a Fig 2 The Calculation mode Working with the History lines is easy You can scroll up and press the COPY soft menu to copy that item into the Edit line You can then edit the command or expression and execute the modification This feature can save you a lot of typing especially if you repeat the above operation many times The Vars Menu The HP 39gII calculator supports several types of variables and offers a number of predefined variables for each data type You can access the data types and their associated predefined variables by pressing the Vars button The calculator presents you with menu of data types 1 Complex The calculator supports ten predefined complex variables named ZO through Z9 List The calculator offers ten predefined list variables named LO through L9 Matrix The calculator provides ten predefined matrix variables named MO th
14. individuals www petss be HP Solve What did you study at school Industrial Engineer Electronics which is now redefined as Master in Electronics HP Solve What is your occupation I work already more than 30 years for Philips I started in de factor moved to hardware development later to software development and from there to advanced development also known as Know How The latter was all locally to Philips Bruges who did grow in 25 years from a support factory lab to a real development lab The last 5 years I have in fact 2 jobs I m responsible for the programming and tracking of the Advanced Development within TV but now on a global level next to advanced development I m also managing competition research benchmarking and Value Engineering also within TV Both jobs are challenging and sometimes really connected to each other HP Solve Do you do much traveling Not for the moment due to travel bans within Philips I traveled more in the past when I was involved in some standardization activities I normally go to the IFA fair in Berlin and the CES in Las Vegas Next to that a go once or twice to Bangalore Philips Software Lab and Singapore Philips Development Lab Next to that I travel within Europe with my family during the holidays I m planning to visit the US a few times in the future when my son is a few years older HP Solve When were you first exposed to HP calculators My first calculator was a Texas TI SR50 1975 f
15. key that behaved differently and it was no longer an HP exclusive This ENTER key and how it worked became so widespread that HP felt that RPN was better defined as being a post script user interface rather than a rigid set of rules of how the stack must operate This change is what I am calling Entry RPN 3 Converting RPL based programs to run on RPN machines and vice versa will have to take this into account If an RPN program is to run on an RPL machine an extra ENTER may be required RPL programs are not good candidates for RPN machines because there are too many program structural differences Converting an RPN program to run on an RPL calculator is a bit easier RPN programs may have a GOTO instruction that is meaningless in an RPL program HP Solve 27 Page 45 Page 4 of 4 From the Editor HP Solve 27 page 46 Article Return to Top From The Editor Issue 27 All across the US we have been experiencing a spike of warm weather and the tree shown in Fig 1 of last issues column lost every leaf and has been completely full of green leaves for some time HP News If you have checked the HP Solve landing page recently you may have noticed a nice change Everything is more easily found and hopefully more clearly explained Check it out at http h20331 www2 hp com Hpsub cache 580500 0 0 225 121 html Reader Feedback Prof Roger Hill provides some interesting electrical my favorite examples of applicat
16. machines Fig 13 RJN Calc Department have been unpacked since this drawer was started The white boxes on top are used to store various other calculators hard cases and soft cases The two shelves now completely packed are used to store boxed machines The left section of the sideboard is used for various items such as power supplies and other related equipment The filing cabinets and book shelves are in another room While tidying up after the last HHC Conference I noticed two card board boxes that were left from HP bringing calculators They were designed for shipping calculators from China and they are made of double corrugated cardboard Since I was driving from CA to back AZ I had the space but I regret only taking one See Fig 15 One of the issues related to storing calculators is that they tend to get stacked and finding a particular model may require a bit of moving machines and looking The box eliminates the searching if each compartment is identified and an inventory is made Having an inventory is very important for many reasons and it becomes ever more important as your collection grows Here are the specifications of the box 10 3 8 x 21 3 8 x 10 5 5 8 HWD It has 35 compart ments approximately 3 1 2 wide and 1 1 8 high I am not sure if the box was designed for a specific machine or to be a generic box I put several larger machines into various compartments to illustrate B2 is an HP 12C There is
17. may be expressed as shown below 478 3 81 3x3x3x3 The problem is taking the fourth root of 81 This problem may also be expressed as ie ous ig 2 S 81 3 Raising a number to a power uses the key shown in Fig 2 Power Key The key sequence is 81 ENTER 4 1 x y The extra key is the reciprocal key 1 x Without your HP calculator you would have a very difficult time making this calculation This problem is easy because it uses integers How about the problem of TAfe 3141592653594 71828182846 1 37480222744 As a quick check with the answer displayed press ENTER twice and x twice to get 2 59848779509 which is the answer cubed This is very close to the number under the radical The root is a little over 3 Using the y key for square roots is good practice for all power and root problems Solving the example problem given above V98 696 044 010 9 314 159 265359 you would key 98696044010 9 ENTER 2 HP Solve 27 Page 53 Page 1 of 4 1 x y This is an extra key press for square roots but it will give you a generalized procedure which provides confidence when the more complex problems like Ve present themselves The HP 35s is our standard calculator for the Fundamentals of Applied Math Series unless specified otherwise The suggested general process recommend above is actually for most other models The key shown in Fig also has a left shifted function VY as shown in Fig 3 This should be use
18. often one will receive money inflows on their investment Appreciation e Not all investments experience an increase in value such as CD s a fixed return investment Tax Consequences e Not all investments are taxed equally nor in an equal time period e Determining the investors level of risk adversity e perhaps the most important factor to consider when making an investment Leverage e Using borrowed funds in order to make an investment impacting cash flows Rate of Return e Determining which investment provides the highest level of return c G t Ri h SI multiplier Once these calculations have been made e IC OW investors can determine whether or not the investment 1s brings value to the worth pursuing by comparing these figures to the average novice ihvestor comparable sale of the investment VI Inv because the proven Step 4 Estimate Net Operating Income ea sy to u se 9 step How much income will the property produce each month a after all expenses have been paid Every investor will want appr oach minimizes the answer to this question and John helps them determine the fear of investing in it He explains what an operating statement is the tal rti importance of analyzing the properties historical operating rental properties statements how to project future revenue streams and determining the investment property s capitalization rate Step 5 Get to Know Your Hidden Partner The Tax Man It was all fun up
19. running PCX or any other calculator activity HP Solve Do you have any additional comments that may be of interest to HP Solve readers I don t know if the calculator still has a long future It will still be used in schools as an educational tool and many others will still use them for basic calculations However I don t see it any longer as a real programming unit to solve problems as better and faster alternatives are available already today That is one of the many reasons why PCX already a few years ago expanded its boundaries to portable devices to keep the club running in which we did succeed until now However as long there is enough enthusiasm Richard N you should never stop doing the thing you enjoy every day We re never gonna survive unless We get a little crazy Seal HP Solve 27 Page 40 Page 3 of 3 HP RPN Evolves HP Solve 27 page 41 Article Return to Top HP RPN Evolves Richard 9 Mebeon Introduction When HP introduced RPL as a user interface it utilized a new method of dealing with the automatic stack RPL operates very much like classical RPN in that it executed an operation such as on the first two levels of the stack X amp Y registers in Classical RPN stack terms In general terms this is called postfix logic If you press the digit 5 on an RPL calculator the 5 is entered into level 1 of the stack The same thing happens with a classical RPN calculator If howev
20. vertical format calculator stands front view See text for details HP Solve 27 Page 19 Page 3 of 12 C This is ahomemade wood stand that looks like it should open to store accessories inside Instead the space is about half filled with plaster which make it quite heavy 4 pounds It is 4 1 2 high 3 3 8 wide and 6 3 4 deep with an angle of 30 degrees D One of the most popular calculator stand styles is the acrylic stand It always looks modern and it is still popular today This stand is 1 3 4 high 3 3 16 wide and 6 9 16 deep it weighs 4 75 oz and the calculator angle is 15 degrees Stands for larger office and BASIC machines would be wider and if necessary higher Fig 5 shows a smoky acrylic stand made specifically for the HP 71B calculator Individual stands would add to the space required for a calculator display and perhaps a wider stand would be better Fig 6 shows a smoky acrylic stand that is suitable to display multiple machines Photo by Richard J Nelson Fig 3b Two designs of calculator stands side view Fig 3c Side views of calculator stands See text for details Photo by Richard J Nelson If a sloping 45 60 shelf book shelf were built to display calculators a strip of 1 inch quarter round should be added to the bottom to support the machines Photo by Richard J Nelson Fig 4 Four basic designs of Fig 3 with calculators in place HP Solve 27
21. which repurposes either an HP20b or HP 30b financial calculator into a sophisticated RPN scientific keystroke programmable calculator The team of Walter Bonin in Germany Paul Dale in Australia and Marcus von Cube also in Germany worked hard to bring this masterwork to life Then last September at our HHC2011 conference in San Diego Marcus presented a detailed history of the project and spent additional time discussing the34S inner workings while Neil Hamilton introduced his 34S programming tools and Eric Rechlin showed the process by which his keyboard overlays and custom key covers were made and applied to a clean calculator Subsequently the development team had proposed some significant upgrades to the then existing version 2 firmware but after discussing them with the user community via the HP Museum Forum it was decided to incorporate them into a new version 3 while allowing version 2 to coexist in its earlier more familiar configuration Fig 1 shows an image of both version 2 and version 3 machines Ji RPN SCIENTIFIC ip RPN SCIENTIFIC a STO RCL R RAD GR AD ENTERT xoy ENTERT xzy a meni J tae K2 8 to 1 XEQ 7 8 9 GTO ANO OR e tn M10 ic N 2 ip t ONOFF Ix RNO IP JP Y LBLRTN 7 DS ISG a t Fig 1 WP 34s Version 2 left and Version 3 right The Version 3 machine is in Double Precision mode displaying decimal places 16 thorough 33 of a popular irrational number
22. 15C Limited Edition HP CalcPad 200 3 HP 20b HP 33s OfficeCalc 100 4 HP 30b HP 35s OfficeCalc 200 5 HP 12C HP 39gs OfficeCalc 300 6 HP 12C 30 Anniversary HP 39gII new PrintCalc 100 7 HP 17bII HP 40gs QuickCalc 8 HP 48 II 9 HP 50g 10 SmartCalc HP 300s indicates a symbolic math capability The symbolic features complex operations of these machines allow them to deal with negative roots Imaginary Numbers i is a number and not a variable 11s not found on the real number line because 1s not a real number When dealing with powers of i you must remember four cases that repeat themselves in a cycle Table 2 Cyclic 4 Values of Powers of i Imaginary numbers require care in their use Use the same rules you normally do Here are some examples f y y Pa fef f 7 V 7 4le7 V1 V7 V7 y a J Qa y1 ya ia Here is an example of multiplying square roots that is incorrect because VtvV V is only true if at least one of the two numbers x amp y is positive V 1V 1 y 1 1 v1 1 HP Solve 27 Page 55 Page 3 of 4 Observations and Conclusions Calculating numerical roots is a challenging problem if you did not have a modern electronic calculator We learn many roots in school especially the squares of the numbers 1 to 12 so that the square root of 144 is or should be from memory to be 12 We normally think of square roots but any number root is mathematically possible
23. 4 which is reproduced below T is the Input key Note the extra ENTER I required as mentioned above 4 The I command works just as well does not copy X to Y if pressed while entering a value but simply terminates digit entry similar to the behavior of the HP graphing calculators On the HP 12c pressing 4 ENTER x shows a result of 16 To achieve this on the HP 30b 4II is required RPN Terms Digit Entry is the process of keying digits into the calculator The machine has to have some means to know when the number is complete If you key 12 into an HP 35s for example and turn the machine off and back on again the display will show 12 with an underscore to indicate that digit entry is not compete Digit Termination is the process of telling the calculator that digit entry is complete The example given in digit entry 12_ may accomplish digit termination entry by pressing X y twice The stack is not disturbed Pressing a function key will terminate digit entry Specific details of all the situations functions and operations that terminate digit entry are usually provided in the User s Guide Stack Lift Disable is activated under a very few conditions of the operation of the automatic stack See your user s guide for details list Stack lift 1s either enabled disabled or neutral Observations and Conclusions There are two basic forms of HP RPN Classical RPN and Entry RPN While they are very similar overall in t
24. HP Solve Calculating solutions powered by HP In the Spotlight A User s Perspective of the HP 39gll Namir Shammas Announced in the last issue of HP Solve this article will present a user s view of some of the many features found on the HP 39gIl Your articles y Author John Webber offers potential investors an easy to follow 9 step approach toward investing and building wealth in the rental real estate market utilizing the HP 10bll calculator to make critical financial calculations a snap HP Calculator Programming Richard J Nelson There are many useful powerful time saving programs that every calculator user should be aware of Read this overview on programming and its applications across HP calculators y Collecting Displaying Demonstrating and Storing HP Calculators Richard J Nelson Collecting calculators is more popular than one might think This article explores several of the issues that face HP Calculator collectors The WP 34S Evolves Jake Schwartz No calculator is perfect or error free Members of the HP User Community are discovering for themselves that designing and maintaining a calculator is an incredibly difficult undertaking The results however are amazing Issue 27 April 2012 Welcome to the twenty seventh edition of the HP Solve newsletter Learn calculation concepts get advice to help you succeed in the office or the
25. Keyboard Rearrangements and More The first thing one will notice when comparing the two versions is the modest keyboard rearrangement HP Solve 27 Page 34 Page 1 of 3 The CLa Xa a x and L R functions were removed and relocated into catalogs Also pi STATUS the X FCN catalog and the left shift display window and right shift display window functions were relocated The SF set flag and CF clear flag was brought out to the keyboard and SUMS and MATRIX catalogs were added The SUMS catalog represents the summation functions separated from the STAT catalog and the MATRIX catalog is new providing basic matrix functionality for the first time At HHC2011 Gene Wright had presented his initial version of user code programs based on matrix routines M1 through M5 from the PPC ROM for the HP41 calculator series and this evolved afterward to a suite of 19 matrix routines including determinant inverse and transpose incorporated into the 34S itself with the capability to handle two dimensional matrices up to 100 elements in size Other Highlights of Version Three There are several additional changes added to the version three software which are significant A user may now choose to allocate fewer than the default number of numeric registers ROO to R99 in order to allow additional space for other items such as among others more program steps subroutine levels or the newly created local data registers Local data numbered R 00
26. LCD were available for repurposing Walter Pauli and Marcus would likely be fulfilling their original goals of endeavoring to create the home grown successor to the HP42S introduced in 1988 which arguably boasted the pinnacle of keystroke programming power If you haven t touched a WP 34S yet but are anxious to get in on the excitement you need the following items e An HP 20b or HP 30b financial calculator e The 34S firmware and extensive user manual available at http sourceforge net projects wp34s e A serial programming cable which may be obtained for nominal cost from Gene Wright who may be reached at genewright143 hotmail com e An overlay and set of key covers to re label the calculator keyboard which may be obtained from Eric Rechlin at http commerce hpcalc org overlay php Alternately there are computer emulators available for experimentation from Pascal Meheut who may be reached at pascal meheut density tech com In addition a set of programming tools were developed by Neil Hamilton which may be obtained by contacting him at nthwp34s tbw9z nctf ca An introductory HP Solve 27 Page 35 Page 2 of 3 wiki also has been maintained for the machine at http www wiki4hp com doku php id 34s start for those searching for additional information If you are a long time HP enthusiast and remember the excitement of cracking open the box of a new HP calculator for the first time you will begin to feel that same kind of exc
27. Let s first list a few objectives for a calculator stand Calculator Stand Objectives a b To put the display at a more normal angle for easier reading To reduce display glare from various lighting sources sunlight from a window or strong glare from overhead lights To provide stability To provide a wireless interface or external power supply larger batteries What makes a good calculator stand ae ae ee a Portable easily carried with the calculator Sturdy pressing any key should not cause tilting Easily adjustable angle Won t slide or move Is attractive Is reasonable in cost The various attributes of calculator stands are best illustrated with photos Fig 3 shows four basic mid 70 s designs of calculator stands A B Low cost plastic folding stand 3 1 4 wide 6 1 8 high and sold under the brand names CalConverter and Countdown The Countdown brand by Bibi was made in Hong Kong and sold for 99 at Theifty The stand has 16 adjustable positions folds flat and fits most calculators It has a desk top gripping rubber base and is of sturdy construction It weighs 2 91 oz and the 16 calculator angles range from 21 degrees to 57 degrees Rubber coated steel rod is used for this simple low cost nonadjustable stand The HWD dimensions are 2 7 16 x 2 1 2 x 5 9 16 At 1 29 oz the calculator angle is 26 degrees Photo by Richard J Nelson Fig 3a Four basic designs of
28. P 12C to very complex and very powerful such as the HP 50g Older HP calculators such as the HP 71B or HP 75C used a computer like programming language called BASIC The HP 12C and HP 15C programing language is an RPN FOCAL like language and the HP 50g uses an RPL programming language The algebraic calculators use what may be called an Aplet programming language Table 1 Current HP Calculator Products 24 Financial Calculators Scientific amp Graphing Home amp Office 1 HP 10b HP 10s HP Calcpad 100 2 HP 10bII HP 15C Limited Edition HP CalcPad 200 3 HP 20b HP 33s OfficeCalc 100 4 HP 30b HP 35s OfficeCalc 200 5 HP 12C HP 39gs OfficeCalc 300 6 HP 12C 30 Anniversary HP 39 II PrintCalc 100 7 HP 17bII HP 40gs QuickCalc 8 HP 48elII 2 HP 50g 10 SmartCalc HP 300s 5 of 7 71 programmable 8 of 10 80 programmable None programmable Note Programmable calculators are in blue Programmable Calculators Very simple programmable calculators are often described as keystroke programmable The idea is that if you wanted to make a calculation such as calculating the volume of a sphere using RPN _ Arr gt 3 you would key the radius r press ENTER twice x twice cubes the radius 2 x 4 x 3 If the diameter is 2 inches the radius is 1 inch and the volume is 4 188 cubic inches HP Solve 27 Page 30 Page 1 of 3 Now let s increase the diameter by 1 2 inch so the radius is 1 25 inches The volume now is very near
29. P 20b 30b Calculator platform An update on this HP user Community project is included in this issue 3 The PPC ROM was an early 80 s HP User Community project that developed highly efficient programs that provide the core calculations to be applied to many very high level programming tasks The programs were specific to the FOCAL language of the HP 41C CV CX machines They were so well documented with so many applications examples that the 500 page telephone sized book the PPC ROM User s Manual apply to today s RPN machines Hundreds of the smartest international minds contributed to these programs See issue HP Solve 16 for an overview of the HP 41C CV CX in the article titled The HP 41System 30 Years old The PPC ROM project was essentially the first Community Software Development for Embedded Devices See http www embeddedcomponents com blogs 2007 04 community software development for embedded devices An HHC 2011 Conference presentation at HP San Diego The PPC ROM 30 Years Later provided a PPC ROM review with historical information previously unpublished A video of the presentation prepared by Eric Rechlin may be found at http www youtube com watch v L 3SI5jRHVS amp HP Solve 27 Page 32 Page 3 of 3 The WP 34S Evolves HP Solve 27 page 33 Article Return to Top The WP 34S Evolves Jake Schwartz Introduction Back in Issue 24 we introduced the WP 34S a suite of firmware
30. Probability functions Hyperbolic functions 12 Real functions Integer functions 13 Relational tests and Boolean operators List functions 14 Trigonometric functions When you select a specific function the display shows you the general syntax for calling that function This information includes the names of the parameters This a very useful on the fly tip The designers of the HP 39eII offer a very adequate set of functions for each of the above categories of functions These functions make the HP 39gII a serious contender in the calculator market I was pleased HP Solve 27 Page 6 Page 3 of 7 to see that the set of matrix functions included a rich collection of function that went well beyond the minimum list of matrix functions 1 e determinant inverse and transpose The list of function includes ones for eigenvalues eigenvectors identity matrix LU decomposition QR factorization SVD factorization and least square regression my number one favorite command for this machine to say a few Figure 5 displays the Math Functions menu showing the list of matrix commands The figure shows the selection of the LSQ matrix function which performs least square regression 5 2 saath Functions iii R Integer IDENMIAT List k LO Fig 5 The Math Functions menu showing the list of matrix commands The Apps Menu The Apps menu offers the calculator user several form based Apps that perform a wide variety of tasks
31. R O1 and so forth may be allocated for any or all programs in memory so similarly numbered registers may contain their own private values if need be Local flags F 00 F 01 etc may likewise be created and used Flash memory has been reorganized so a large library of user created programs may be easily managed in flash and accessed by programs in RAM The statistical summation registers have been pushed out of the numeric register range and into their own area so they do not interfere with other directly addressable storage and in fact are not allocated from RAM if no statistical sums are accumulated Many mathematical functions have been modified to produce more accurate results through the use of higher precision intermediate values And now a double precision mode has been made available to the user which when enabled maintains virtually every value in the calculator with 34 digit decimal accuracy plus up to 4 digit exponents From the chatter on line the WP 34S developers have several other ideas under consideration but we may have already reached the point of diminishing returns with a full complement of firmware no more RAM and just about every clever trick employed to take advantage of the keyboard and limited display of the 20b 30b family As Bill Wickes once said in the days of the HP48SX Life is short and ROM is full If only the Pioneer Series like platform of the HP 17BII with its larger RAM and full two line dot matrix
32. The user collector This is often the casual collector who has become more of a real collector because he buys and sells calculators in order to build his collection His wife and family are the limiting factors in how he operates 3 The formal collector This is the person who is collecting just to collect and the challenge is growth and completion Often these collectors have extra money to spend and these are the people who drive the prices up on eBay Displaying HP Calculators One of the biggest issues every HP calculator collector has is being able to display their machines If you have a dozen or less they may be placed on any convenient book shelf or small display case If you want to display your machines most collectors don t because of the obvious reasons of space you will consider shelves display cases and stands If you just have a couple hundred machines the problem is manageable but what if you have over a thousand calculators In terms of HP s machines the number of the basic models is about 120 but if you also include the many variations on these models and the models that were never produced etc the number is multiplied by five or more A calculator stand is useful for displaying your HP calculators because it puts the machine at a nice angle for viewing Most stands are designed and made for using the calculator rather than displaying and HP Solve 27 Page 18 Page 2 of 12 several examples will be shown
33. a calculator stand with holes to allow the leads to protrude below the stand would be desirable An additional set of connectors consisting of alligator clips would work better for the older and larger sized battery compatments Fig N2 E Z Hook example to consider using to connect an AC adapter to calculator battery terminals HP Solve 27 Page 28 Page 12 of 12 HP Calculator Programming HP Solve 27 page 29 Article Return to Top HP Calculator Programming Richard Nelson Introduction Do you use an HP calculator that has a programming capability and do you actually use 1t Of the 24 models see Table 1 below 23 are on the HP website 13 or 54 2 are programmable If the Home and Office machines are omitted the numbers are 17 models and 13 or 76 5 are programmable What does this mean A program is a sequence of instructions functions and or data that are keyed or loaded into the calculator s memory that will solve a particular problem or provide specific information A program capability also includes special instructions that provide prompting for inputs and labeling for outputs Another aspect of a program capability is the ability to perform decision logic so the particular parts of a program may be changed depending on the results of previous instructions This capability provides intelligence to the program The program capability of the 10 current models ranges from very simple such as the H
34. amir graduated with a degree in Chemical Engineering He received a master degree in Chemical engineering from the University of Michigan Ann Arbor He worked for a few years in the field of water treatment before focusing for 17 years on writing programming books and articles Later he worked in corporate technical documentation He is a big fan of HP calculators and collects many vintage models His hobbies also include traveling music movies especially French movies chemistry cosmology Jungian psychology mythology statistics and math As a former PPC and CHHU member Namir enjoys attending the HHC conferences Email me at nshammas aol com HP Solve 27 Page 10 Page 7 of 7 Get Rich Slow HP Solve 27 page 11 Article Return to Top Get Rich Slow Your Guide to Producing Income and Building Wealth with Rental Real Estate With rental market occupancy rates on the rise and the stock market experiencing another volatile year there may be no better time than now To Get Rich Slow John Webber author of the book Get Rich Slow offers potential investors an easy to follow 9 step approach toward investing and building wealth in the rental real estate market This book is a roadmap to financial freedom in a market space that tends to be easier to predict experiences less volatility provides steadier rates of return and is a good hedge against inflation With this 9 step approach we get
35. and straight forward When you have multiple programs in memory the convenience of running a particular program will depend on the programming feature set of the machine Running multiple programs on the HP 12C for example is much more difficult than running hundreds of programs on an HP 50g The latter has many more programming features Using vs Writing Programs You don t have to write programs in order to take advantage of using programs One characteristic of calculator programmers is that they tend to collect programs because they want to take advantage of other programmer s expertise Every programmable calculator user should learn to be able to key in a short program This skill is very powerful and it will allow you to greatly extend the capability of your calculator Calculators are not only work horse tools they may also be a source of boredom relief and actual fun See the examples of four games for the HP 12C in the article The HP 12C 30 Years and Counting in HP Solve issue 25 page 9 I25 P9 Appendix C The ability to write a game program is beyond the average HP 12C user especially because the programming environment is so simple but the ability of any HP 12C user to play the games should not limited because a small effort to learn how to load a program isn t made In the early days of calculators especially the first two decades the high end programmable scientific calculator was the most powerful tool a technical u
36. ariations If you include all of these variations the basic number of about 120 models easily extends to many hundreds of machines Displaying HP calculators is a natural for collectors but space and cost are major considerations and very few collectors have a formal display of their machines The use of calculator stands and appropriate display cases is briefly discussed Demonstrating the machines requires batteries and the cost of keeping them all in batteries is not practical and an AC Adapter is proposed with a suitable connector for all machines Storage is space intensive and examples show that every imaginable space from under the bed in a closet to a dedicated room is used Collecting Displaying Demonstrating and Storing HP Calculators Notes 1 One of the very first four banger machines was the Sharp OT 8 introduced in March of 1970 for 495 See Fig N1 Ball amp Flamm This machine would cost 2 961 83 in today s dollars based on the CPI at http www minneapolisfed org 3 000 in 1970 would buy you a new car 2 There are many books and Internet pages dedicated to calculator collecting The two must have references are shown below nm a A Guide s to HP Handheld Calculators and Computers W A C Mier Jedrzejowicz Ph D THE COMPLETE OE ae Fifth Edition HHC 2007 Printing Celebrating 35 years of the HP 35 oto by Richard J Nelson Fig NI Two excellent reference books for calculator collect
37. d be closer to 75 degrees The best angle will depend on how many machines are stacked The wedge angle ranges from 7 for an HP 35A to 2 for a HP 30b One of the nice features of the 30 calculator stand is that you may see the tops of the machines When the higher models are at the rear the machines are more easily recognized and the desired machine may be easily selected pulled out and then replaced Photo by Richard J Nelson Fig 8 Calculator stand that will hold store up to 30 HP calculators depending on the models used HP Solve 27 Page 22 Page 6 of 12 Photo by Richard J Nelson Fig 9 Oblique view of the 30 calculator stand showing the steep angle to keep the machines handy This stand is easily moved around If you move to another location to work you may just pick it up and move it The weight as shown is 13 4 pounds There is one interesting calculator stand specification that never seems to be mentioned in any of the promotional literature or box information The missing and most important specification is the angle of the stand In all the literature I have seen the angle is 99 66 described as most desirable angle upward angle higher angle natural angle ideal angle a better angle or a suitable angle I have never seen the actual angle in degrees specified It is clear from the various angles given for the few examples in Figs 3 7 that the
38. d for calculating numerical roots The number of keystrokes is the same because the root key is a shifted key Negative Roots If the square root of a number m is that number n that when multiplied by itself Fig 3 HP 35s equals the number what happens when the number m is negative Two negative General Root Key numbers when multiplied results in a positive number Is the square even root of a negative number meaningless The cube odd root of 27 has a solution 3 because 3 x 3 x 3 27 Taking a square root of a negative number on the HP 35s results in a SQRT NEG message Taking the even root of a negative number on most HP calculators using y will usually result in an ERROR message INVALID on the HP 35 For a very long time the idea of taking the square root of a negative number couldn t be represented in terms of normal mathematical operations until the concept of the imaginary unit often called a unit imaginary number was applied The imaginary unit is usually designated as i No real number has a negative square so the confusing term imaginary is used Remembering that a negative multiplied by a negative results in a positive the square root of any real number excluding zero has two values The term often applied to these roots is the principle root Let s use the definitional property of 7 In practical terms i Y 1 The square root of 1 has two values i and i While
39. directions of a table depending on the current App 3 The six HP Apps Keys are located to the left of the cursor keys The blue shifted button labeled Home supports setting of the Modes App Le a 4 The common math buttons These buttons occupy sr 5 the three rows of buttons below the cursor keys 5 The rest of the keys include the numeric keys the two lasa shift keys the ON key the ENTER key used to a nn D ee execute an operation and the comma key The red Lans m a oot shift key allows you to enter a character The blue serves to access shifted commands and rm 5 O G In addition to these keys the HP 39gII has a USB port a 1 n located on the right side You can use that port to connect the calculator to a PC P 8 Regarding the power requirements of the HP 39gI its battery compartment has space for four AAA cells Interestingly these four batteries are connected in parallel This means that the calculator really needs only one cell to operate The Fig l The HP 59gII HP Solve 27 Page 4 Page 1 of 7 additional three cells ensure that the calculator will run for a good while Moreover since the machine is aimed at students they can lend a battery to another student who needs it to keep her or his calculator going especially during a test When you press the Home key you shift to basic calculations mode Figure 2 shows this mode The display comprises of the
40. e 56 Page 4 of 4 Last page of issue 27
41. e Function Plot Setup form You can use this setup repeatedly to fine tune the plotted functions To view the graphs of the functions you press the Plot button Figure 7 shows a sample function The calculator offers additional soft menus once you invoke the MENU option You can then zoom in on the graph trace the values on the cruve and jump to the curve at a value of X of your choice ECN DEFN MENU ACE GOTO F ZooM I Fig 7 A sample function plot HP Solve 27 Page 8 Page 5 of 7 Programming the HP 39 IT Programming the HP 39gII is another impressive aspect of the calculator The approach to programming the HP 39gII is to create functions with optional though frequently needed parameters These parameters are type less and can be complex list matrix and real typed values A function can call other existing functions It can also declare local and exported variables that can be complex list matrix and real typed values When you press the Prgm command invoked by pressing the blue shift and buttons the calculator displays the Program Catalog form as shown in Figure 8 This form lists the names of the programs along with their sizes RE ran cat Function 021KE Fx Car E WC a E Fig 8 The Program Catalog form The Program Catalog form allows you to create a new program edit debug run delete clear and transmit the currently selected program When you s
42. e W Mailstop 040307 Houston Texas 77070 ATTN HP Privacy Mailbox 2011 Hewlett Packard Development Company L P The information contained herein is subject to change without notice A User s Perspective of the HP 39gll HP Solve 27 page 3 Article Return to Top A User s Perspective of the HP 39g IIT Namir Shammas Introduction The HP 39gII graphing calculator is the latest member of the HP graphing calculators which HP had first launched in 1990 The new arrival is aimed at the high school students in China and as such can be operated in either English or Chinese As the model s name suggests this algebraic machine replaces the algebraic HP 39GS calculator The lack of RPL support present in most HP graphing calculators should not let the reader conclude that the new HP 39glI is a lightweight graphing calculator Quite the contrary The new arrival is a heavy hitter Calculator Layout Figure 1 shows the full layout of the HP 39gII calculator in text mode The machine has a display that supports 256 by 126 pixels Below the LCD you find the following set of controls 1 Six function buttons labeled F1 through F6 to Support various soft menus HP 39gll Graphing Calculator 2 The cursor keys are located to the right and below the menus keys These keys are molded into a single plastic component The cursor keys allow you to navigate up and down a list left or right in a list or a line editor or all four
43. e collection and its value grows over angels When the number of people who collect things increases a market for a life time The angel example illustrates that many collections do not start out as a formal activity If forethought were put into the items to collect there would be several major considerations Imagine hundreds or even thousands of the collectable Where would they be kept How long will they last What about the accessories such as descriptive literature or owner s manuals Of course the most important part of deciding what you collect is cost and your own personal interest Collecting HP calculators Calculators are attractive as a collectable to technical people because they have not been around for very long about 43 years commercially and the technology of calculators covers the same technology as computers The very first calculators 4 bangers were very expensive selling for hundreds of dollars The ability to make instant calculations of large numbers using a small electronic device was useful to just about every technical person in society Their collectable size is reasonable because they don t take up much space Because millions and millions of calculators have been made by hundreds of manufac turers the calculator has become a low cost and very common tool Because so many different calculators have been made most calculator collectors restrict the kinds or types of machines they collect
44. elect to create a new program the calculator first prompts you to enter the program s name It then displays the program form after inserting a minimum skeleton code Your task is to insert any parameters used by the program declare any local variables declare any exported variables and enter the program statements You need to declare variables whose names exceed one letter The program requires that each statement ends with a semicolon MWh SPORT MATN T BEGIN REPEAT C 001 1 ABS C8 meH Fe F H F 70 FXCK HI FD a Fig 9 A Sample program The HP 39gII supports common decision making and looping constructs The TMPLT soft menu allows you to insert various kinds of constructs 1 Decision making constructs These constructs include IF THEN IF ELSE THEN CASE and IFERR to handle runtime errors 2 Looping constructs These constructs include FOR FOR STEP REPEAT UNTIL and WHILE 3 Input constructs These constructs include CHOOSE and INPUT HP Solve 27 Page 9 Page 6 of 7 Using the EXPORT command you can export variables from programs so that you can access their values after their host programs terminate You can use the Vars menu to view these exported variables You can run a program from the Program Catalog form or from the edit line after you press the Home button If you choose the former the calculator dynamically creates a form that lists the program s paramet
45. er you then press ENTER the two user interfaces operate differently RPL will terminate the digit 5 and leave it on level 1 of the stack Classical RPN will terminate the digit 5 AND it will copy it to level 2 the Classical RPN Y stack register implements a stack lift AND it will leave the level the Classical RPN X register ready to receive digits If a second digit is pressed say a 2 there will be a5 on level 2 Y register and an unterminated 2 on level 1 X register The Automatic Stack There are two basic versions of RPN One is the classical RPN and the other is what I will call Entry RPN The difference between the two RPN versions is making the extra copy when the ENTER key is 3 pressed In classical RPN terms the automatic stack is lifted when the ENTER key is pressed Table 1 provides a specific perspective on how HP RPN machines have subtly changed in terms of how Classical RPN works A primary requirement for defining Classical RPN is the automatic stack and the rules that govern it See HP Solve issue 4 page 3 for a detailed description Here is a problem Add 5 to 2 Table 1 RPN Stack Lift Test 5 ENTER CHS 2 Models a few examples 1 HP 35A 3 1 42 Thefirst RPN calculator One machine only HP 45A 80 65 70 55 ka 21 22 25 25C 27 Ea 1973 1977 All 7 Classic most 5 Woodstock Series HP 29C 91 97 19C 41C Mid 1977 ees ka 34C 15C 35s 20b 30b 2012 Last C
46. ers and waits for you to enter a value for each parameter The default value for each parameter is zero Once you are done with the input you press the OK soft menu This action executes the program using the current arguments you entered and default values you chose to accept for the different parameters The calculator then displays the result in a small popup window To store the value returned by a program you need to invoke it from the editor of the basic calculation mode and assign the result to a variable Since Figure 9 shows part of the listing of program NWTN which uses program FX here are the listings for both programs First here is program FX EXPORT FX X BEGIN eX 3 X END Here is the listing for program NWTN which implements Newton s method to calculate the root of the function in program FX EXPORT NWTN X T H F FX X H F gt D BEGIN X D gt X REPEAT UNTIL ABS D lt T 0 001 1 ABS X gt H X FX X gt F END The subject of programming the HP 39eII is worthy of one or more separate articles So for now I will limit my coverage to the above discussion Conclusion The HP 39gII is powerful machine that uses a rich set of soft menus and forms to interact with the user The machine packs a respectable set of math and graphing functions along with a versatile BASIC like programming language About the Author E ELIA Namir Shammas is a native of Baghdad Iraq He resides in Richmond Virginia USA N
47. es you are on your way to becoming a more serious collector Because technology is advancing at a rapid pace the older machines are soon obsolete and therefore increasing in value The article explores several of the issues that face HP Calculator collectors S04 HP Calculator Programming Programming a calculator just doesn t appeal to most calculator users It seems to be overly complicated and in some cases e g the HP 50g it could be Of the 24 current models offered by HP more than 50 are programmable If you omit the seven Home and Office machines the number is over 75 The article provides an overview of programming and its applications There is a gigantic reservoir of useful powerful time saving programs that every user should be aware of S05 The HP 34S Evolves By Jake Schwartz No calculator is perfect or error free Members of the HP User Community are discovering for themselves that designing and maintaining a calculator is an incredibly difficult undertaking The results however are amazing Here is the recent 4 4 2012 experience of one Southern California CFO HP User John Fedel Hi Richard I finally used the cable you gave me and flashed one of my 30b s into a 34s I ordered two overlays figuring I would mess one up but the first one worked fine I had no idea what this calculator was I have to say the 34 number gave me the impression it was a scientific calculator only I think the 42sII number would have
48. gnize this number 1 41421 35623 73095 04880 16887 24209 69807 85696 71875 37694 80731 76679 73799 07324 78462 10703 88503 87534 32764 15727 35013 84623 09122 97024 92483 60558 50737 21264 41214 97099 93583 14132 22665 92750 55927 55799 95050 11527 82060 57147 01095 59971 60597 02745 34596 86201 47285 17418 64088 91986 09552 32923 04843 08714 32145 08397 62603 62799 52514 07989 68725 33965 46331 80882 96406 20615 25835 Fig 1 HP35s key 23950 54745 75028 77599 61729 83557 52203 37531 85701 13543 74603 40849 If you have had any math classes you have probably run into this number and you should recognize it as the square root of two 2 The square root of a number n is that value when multiplied by itself equals n 2x2 4 and V4 2 Calculating the square root of the number is the inverse operation of squaring that number Vn n The Vv symbol is called the radical symbol or check mark MS Word has the radical symbol V but we often use it with a line across the top This is called the vinculum circa 12 century The expression vn is read as root n radical n or the square root of n The vinculum extends over the number to make it inclusive e g V98 696 044 010 9 314 159 265359 Most HP calculators have the square root key as a primary key as shown in Fig because it 1s used so much Roots and Powers Numbers may be raised to any power y multiplied by itself x times and the inverse operation taking the root
49. hat they are both a postscript user interface there are subtle differences a few of which are described A test to determine which one is operational on your HP calculator is provided With a clear stack press 5 ENTER x On an Entry RPN machine the result is zero On a Classical RPN calculator the number is squared The current machine examples of an Entry RPN calculator are the HP 20b and HP 30b RPN calculators have subtle differences and the Table 1 CHS digit entry example shows that HP RPN machines have changed twice since the first Classical handheld RPN calculator the HP 35A These subtle differences will often impact RPN programs that may run on one RPN machine and not on another It is highly doubtful that HP will return to Classical RPN except perhaps for a legacy machine such as the HP 15C In all cases of an RPN and RPL calculator the best way to describe the user interface 1s that it is a post script logic user interface rather than one with a rigid set of automatic stack rules HP Solve 27 Page 44 Page 3 of 4 HP RPN Evolves Notes 1 RPL is an acronym for Reverse Polish Lisp LISP is an artificial intelligence AI high level computer 2 x programming language A popular programmer meaning given to LISP is Lots of Insidious and Silly Parentheses The programming power of RPL is astounding See Wikipedia description of LISP at http en wikipedia org wiki Lisp RPL is not mentioned however The Wikipedia entry f
50. his approach is that nicely organized displaying and storing of the machines is a a ew oe ee _ Fig 11 Dresser is used to store calculators Fig 12 Another Dresser drawer HP Solve 27 Page 24 Page 8 of 12 about the next machine I asked several collectors to take a photograph of the storage of their machines I received one For obvious reasons he didn t want to be identified I have had a lot of technical materials in storage which I unpacked after I retired Unpacking a life time of materials is a long process but at least I am organizing what I have My calculator collection is slowly getting organized Collection is in quotes because I do not fall into any of the three categories as defined above I am a user type collector with the exception that I haven t sold my calculators In my case I dedicated a dining room sideboard into a cabinet for calculators I built a shelf to put on top of the sideboard and the calculator department is shown in Fig 13 This provides accessible storage for my few hundred machines n ae eo n Rit Pis alaus Classic 1 Woodstock 8 Sting Roo Titan Spice Spike Nut Series 13 Cricket 6 Photo by Richard J Nelson Fig 14 This is the top drawer of Fig 13 The four sideboard drawers are lined with green felt and the machines are stacked only if they are of the ess same type or model number This is an old photo Many boxes of
51. ions of the golden ratio described in issue 26 page 53 126 P53 He says Here is an extremely practical example involving light bulbs which I gave as an extra credit problem to my physics classes You know those 3 way bulbs like 100 200 300 watts that have two filaments in this case filaments that produce 100 and 200 watts separately when connected to the standard 120 volts When you turn the switch you get filament 1 alone then filament 2 alone then both filaments in parallel which give the sum of the wattages 300 As long as I can remember I used to notice that there was a big difference between the 100 and 200 watt settings but going to 300 watts was disappointing because there didn t seem to be as much of a difference As I learned much later this was because the eye is more sensitive to RATIOS of brightness or wattages and to get equally appearing steps you would need 100 200 and 400 watts the same sort of thing happens in sound from which decibels arise and also in musical scale frequencies this is called the Weber Fechner Law But the trouble is you can t get 100 200 and 400 from just two filaments So the problem is to design the ideal 3 way light bulb whose first setting is say 100 watts what wattage does the second filament have to have so that all three settings will appear equally spaced in brightness No knowledge of electricity is needed to solve this problem But guess what the answer is 100 watts or a
52. is category All of these are considerations for the calculator collector s display area s Yes a full room is required for a moderate HP calculator collection Don t forget all the related materials listed above that are associated with each machine One solution to the calculator power battery problem is to have a universal AC adapter that has an adjustable DC supply voltage that is set to the requirements of the machine A proper set of leads with E Z Hook type connectors on the end to allow clipping on to the battery terminals in the battery compartment is reasonable in terms of cost and convenience A single AC adapter could power any calculator made Let s not forget about adequate table top space with handy AC outlets to spread out the many machines being explored and demonstrated Storing HP Calculators A small hand held calculator with all of its accessories and other associated materials such as user Guides etc takes a considerable amount of storage space The manuals will store on a book shelf Other paper materials such as instruction sheets photos and ads will store nicely in a filing cabinet Storing the calculators however 1s an important challenge to be carefully considered An HP Calculator collection will often develop in stages as it grows The collector I am writing about here is the User Collector as described above page 2 The primary interest is the calculators and not the collection The result of t
53. itement with the 34S Many HHC2011 attendees who had not even heard of the machine became converts almost instantly and now use the 34S as their everyday RPN workhorse You will be impressed Observations and Conclusions The new version 3 WP 34S is somewhat cosmetically similar to the older version 2 firmware but adds a significant enough amount of new functionality to justify both the new and veteran user to sample its capabilities The development team is to be commended for their continued achievements in the areas of keystroke efficiency memory usage and user programmability The WP 34S Evolves Notes 1 Check out the discussion on the WP 34S plus many other new and legacy HP calculators at the HP Museum forum by going to http www hpmuseum org and then clicking on HP Forum on the right column About the Author Jake Schwartz has been an HP calculator fan since 1971 after first trying the HP9810A desktop RPN machine at a co op job at RCA in New Jersey He has owned most of the scientific top of the line handhelds since the HP35A in the early 1973 joined the PPC Calculator Club in 1977 and contributed to many of _ the clubs since including serving as Peripheral Routines coordinator for the PPC ROM project for the HP41 in 1980 Currently working at Lockheed RS Martin as a software engineer Jake has been presenting at and videotaping the annual U S HP calculator conferences for more than two decades HP So
54. lculations and also displays an amortization table HP Solve 27 Page 7 Page 4 of 7 10 The Linear Solver App This App allows you to solve systems of two or three variables by easily entering the values for the matrix coefficients and the constants vector 11 The Triangle Solver App This App allows you to solve for the sides or angles of a triangle 12 The Linear Explorer App This split graph text view App allows you to explore the slope and intercept of a straight line You can use the navigation keys and the soft menus to change the slope and intercept The App alters the graph of the straight line according to the current settings 13 The Quadratic Explorer App This split graph text view App allows you to explore the plot of a quadratic equation You can use the navigation keys and the soft menus to change the parameters for the quadratic equations and instantly change the shape of the quadratic curve The Graphics Features The HP 39gII supports graphing function is a manner we are accustomed to The Function App allows you to specify one or more functions to plot The Function Plot Setup command invoked by pressing the blue shift and Plot buttons allows you to specify the range of the plot as well as other plotting parameters Figure 6 shows a sample Function Plot Setup form Function Plot setup ar XRNG 0 75 YENG 10 10 A TICK 1 YTICK 1 Enter maximum horizontal value EDIT TT rd m Fig 6 A sampl
55. lf is usually associated with HP because HP has been making RPN calculators for 41 years When other machines became popular e g PC s PDA s smartphones etc the use of the famous HP RPN ENTER key took on a different meaning and HP needed to adjust RPN accordingly Today RPN as a user interface is generalized to be postfix logic How Classical RPN has evolved into Entry RPN is explained in the article S08 Regular Columns From the editor One Minute Marvels S09 10 in the Math Review Series Calculating Numerical Roots A modern scientific or graphing calculator will calculate numerical roots at the press of a key Problems like Ive 3 141592653359 V2 7 1828182846 are easily solved Even problems like 4 4 are easily solved by the more advanced algebraic models That is it for this issue I hope you enjoy it If not tell me Also tell me what you liked and what you would like to read about X lt gt Y Richard Email me at hpsolve hp com HP 48 One Minute Marvels No 14 Numeric ID Registers One Minute Marvels OMMs are short efficient unusual and fun HP 48 programs that may be entered into your machine in a minute or less These programs were developed on the HP 48 but they will usually run on the HP 49 and HP 50 as well Note the HP48 byte count is for the program only Simple Numeric ID register data base These three programs were written to emulate sequentially numbered registers
56. lots of space B4 is an HP 49g C7 is an HP 71B D5 is an HP 40gs and D2 is HP Solve 27 Page 25 Page 9 of 12 an HP 30b in a bubble pack bag The back bottom of the box is white foam to also protect the machines I presume that there was a similar piece of foam for the top as well because there 1s space above the compartment dividers Just about every handheld machine that HP has made will fit Even the very wide OfficeCalc series will fit if put into a top or bottom compartment with a divider cut away The Woodstock machines are 2 1 2 thick and are too heavy The HP 75C D machines are too wide to fit properly as well This box however would make a great means to store HP calculators if they must be stacked up in a closet Even the small compartments at the sides may be used for interface cables The lettering columns however should be A through G if they are used LS sA d l 1 ud baf ea im l g 4 it ipi H i i i Hi j he ji i ki EJ Se eo ee j i H i E a e a Hi 4 ee z y es i a m d E ve j H j HF iv 4 4 a id _ s W oe a F i R n i e m os RA i TS ee o o ee n me rb is b a f K k a ie A plist a Photo by Richard J Nelson Fig 15 Corrugated calculator shipping box The 35 compartments are suitable for most of HP s models I know one collector who has every HP Machine ever made in its origi
57. lve 27 Page 36 Page 3 of 3 Meet an HP Calculator user HP Solve 27 page 37 Article Return to Top Meet Jo Vandale Editor s note Customer Corner has appeared in past issues of HP Solve where we interviewed the worldwide users of HP s calculators Past interviews have been of users who live and work in the US UK Canada and Germany We now go to Belgium for our next interview Jo Vandale attended CES 2012 where we had a calculator users dinner and an opportunity to catch up See photo in the From the Editor column HP Solve What is your background I was born in Belgium Adinkerke on 16 February 1959 Adinkerke is a small city 2 Km from the coast and the French border Our house was just next to the attraction park Meli which in the mean time changed name to Plosa Land Until 12 did go to school in Adinkerke Veurne and Ostend I start working at Philips in 1981 and I m still working at Philips In 1982 I moved together with my girlfriend Annie to an apartment in Bruges close to the Philips premises 10 years later I invested in a house and moved to Oostkamp which is only 10Km from Bruges I have a son Ruben born in 1998 so currently 13 years My hobby s were initially electronics software amp airplanes as of today in more F1 and software web development Together with my brothers Hans and Geert I also run a company providing IT support and web design to small companies less than 15 seats and
58. ly double or 8 181 cubic inches If you are an orange grower making a Statistical size analysis of your oranges and if you had dozens of problems to solve you would soon get tired of pressing so many keys for each orange measured The process of keying the same keystrokes and storing them in program memory is called writing a program Even a simple program can be a big time saver if many problems of the same type are being solved If it took you twice the time to put the keystrokes into memory as it did to make a single calculation you would save time starting with the third calculation The calculations from then on would be solved nearly instantaneously There are two ways a program may be entered into a calculator 1 By keying it into the calculator as just described or 2 By down loading the program from an external source as the HP 50g does by using its USB or IrDA port If the user is experienced with the model he or she uses the keying of short programs is very fast Longer more complex programs however are best down loaded The HP Solve ongoing HP 48 One Minute Marvels column started in issue 14 is an example of very useful and especially efficient programs that may be keyed into the RPL programmed HP 48 49 50 in one minute or less Running a program requires starting the program by pressing a key Depending on the model a single keystroke or perhaps one with a shifted key is required Running programs on HP calculators is easy
59. n outlines eight critical factors for people to consider when making investment decisions After providing an overview of a range of investment types the author narrows his focus on real estate investment He prompts readers considering investment in real estate to ask themselves Do I really want to be a landlord If the answer to this question is YES then continue to read on John clearly outlines a roadmap to building wealth in the real estate market in Steps 2 9 Step 2 Get Your Ducks in a Row Chapter two focuses on building a foundation for Success The author advises hopeful investors about how to assemble a team of experts to help them make solid real estate investment decisions This team of experts will help investors to find appropriate properties determine appropriate timing locate adequate funding and analyze potential partnership benefits Step 3 Eliminate the Duds No investor wants to purchase a money pit John helps investors analyze potential properties to assess whether or not the purchase is a valuable one He helps readers calculate the price per unit the price per square foot and the gross rent HP Solve 27 Page 13 Page 2 of 4 8 Critical Investment Decision Factors Management of the investment e Determining the level of involvement needed to maintain a positive ROI Liquidity e Understanding how quickly one can turn their investment into cash Cash Flows e Knowing when and how
60. nal box This is actually his second collection the first complete set didn t have the original box requirement that he intends to pass the collection on to his children Obviously this collection is stored in the same manner as a large gold coin collection because of it its very high value The value issue is one that begins to take importance as the collection and investment grows One collector I talked to mentioned that he has his collection stored in three different locations If someone were to break in and steal some machines the loss would be less The first task at storing a calculator 1s removing the cells batteries ALL cells leak and the damage the electrolytic causes greatly diminishes the value of the machine either for use or for future sale Observations and Conclusions Each of the four topics of the title deserve its own a book or separate article so this single article cannot HP Solve 27 Page 26 Page 10 of 12 delve into very much detail HP calculator collectors expand their collections because of the tremendous depth and technology changes of the various models of the last 41 years of HP calculator production The three basic HP Calculator Collectors are the Casual the User and the Formal collector There are quite a few collectors who have every model HP has ever produced Some even have multiple versions of the same model starting with the very first model the HP 35A which has at least five significant v
61. ncial Scientific and Graphic calculators are programmable This means that HP is providing the greatest value to their users with a programmable language of a type that may be described as RPN FOCAL like RPL or Aplet The best programming features will include easy editing input prompting labeling of results and conditional branching that provides the intelligence needed for advanced programming Most HP calculators have a single keystroke capability for running programs and considerable time may be saved if multiple calculations of the same type are required It is very useful for any programmable calculator user to learn how to enter programs into their machine because you don t have to be a programmer to save time Programs may be user keyed or loaded through an I O port Many programs written years or decades ago will run on current models A table of current models is provided with the programmable machines indicated Internet resources are provided as a resource for the reader to find a program to suit their current needs HP Calculator Programming Notes 1 FOCAL is a folklore name given to the programming language RPN HP 41C CV CX machines See HP Solve Issue 23 page 34 123 P34 Most of the RPN programmable calculators from the HP 65 to the HP 41 used a similar programming language that may be described as FOCAL like 2 See HP Solve issue 24 page 22 124 P22 for the article by Jake Schwartz on Repurposing the H
62. ntly only two stack levels are required This of course is the proper way to solve the problem In all of these variations the number of keystrokes is the same Step 1 2 T o n X gt 7 a 5 5 Y 5 5 X 5 5 5 2 3 Press 5 CHS ae 2 Fig 4 Alternate Fig 3 keystrokes to only use two stack levels When RPL appeared with the introduction of the HP 28C in January of 1987 the automatic stack radically changed One of the distinctive differences is the action of the ENTER key In Classic RPN the ENTER key copies the X register into the Y register In an RPL machine ENTER terminates the digit entry and does not make a copy or provide stack lift It appears that the RPL operating system logic has HP Solve 27 Page 43 Page 2 of 4 impacted the design of recently developed calculators which have a 4 level high stack but which use Entry RPN An example of a current model Entry RPN machine is the HP 30b If you place the machine in RPN mode and have a clear stack you may compare the stack operation with a Classical RPN machine such as the HP 15C Press 5 ENTER Next press x On the 30b you will see 0 because the Y register is zero and 0x 5 0 On the 15C you will see 25 because the ENTER 7 raised the stack as shown in the three cases above This basic difference between Entry RPN and Classical RPN was described by Gene Wright in HP Solve RPN Tip 20 in Issue 20 page 10 120 P10 See the article list number
63. ollowed by a TI SR56 1976 only a year later The TI SR56 was also my first programmable calculator with only 10 registers and 100 steps The program Moonlander was one of my favorite programs on the 56 In 1977 I bought a TI 58 and upgraded it only 6 months and 4 repairs later for a TI 59 As the TI 59 wasn t more reliable than the TI 59 and for that reason more in repair than in use I start looking to Hewlett Packard as a possible alternative I played with some units in the shop to learn something strange named RPN and came in love with a information flyer of the HP 41C to be released e few months later I got one of the first if not the first HP 41C sold in Belgium It got it on a Friday evening around 8pm from the shop owner who specially drove up and HP Solve 27 Page 38 Page 1 of 3 down to the Belgian HP headquarters in Brussels to get a unit from the first batch delivered in Belgium I worked through the manuals in 2 days and started a dream which in fact never stopped After the HP41C CX and all the accessories I had several other HP calculators as I started collecting them however none of them ever reached the same level of experience and joy From normal programming it moved to synthetic and assembly made a speedup solution and even a keyboard controlled version Later I designed my first ROM and RAM box and together with Chris Blancke I created a DMA interface to the Commodore 64 which allowed us to write and change code on
64. or RPL also gives RPL as meaning ROM based procedural Language A quote from one of the 1984 RPL Developers at HP Corvallis Oregon Dr William Wickes says RPL could stand for Reverse Polish Lisp In the early days of RPL development we got tired of calling the unnamed system the new system and one of the development team came up with RPL both as a play on RPN which has been the loved hated hallmark of HP calcs forever and as an accurate indication of the derivation of the language from Forth and Lisp RPL was never particularly intended to be a public term at the time of the HP Journal article August 1987 on the HP 28C there was an attempt to create a less whimsical name hence ROM based procedural language which preserved the initials but had a more dignified sound The development team never calls it anything but the initials RPL You can choose either of the two full word versions that you prefer Or how about Rich People s Language See http www faqs org faqs hp hp48 faq part2 Dr Wickes recently retired from HP and he has the distinction of having been a development manager for HP s smallest consumer product calculators and HP s largest commercial product Halo Classical RPN reigned during the 70 s and 80 s In the 90 s however HP internally decided that the advantages of RPN should be supported but that it needed to be modernized The PC and other handhelds used by students used an ENTER
65. ors to find information related to calculators HP Solve 27 Page 27 Page 11 of 12 3 Older calculators especially 1970 s models that used AC adapters had heavy linear type adapters Most modern cell phone or laptop AC adapters are switchers These are much lighter than the old linear technology of the first dozen years of calculators 4 The angle of the calculator stand is the angle between the support surface and the table top A popular angle is 15 degrees for stands intended for formal desk top use A very important consideration is lighting glare and there are many situations where the user doesn t have control of the lighting and an adjustable angle is more desirable If you want to determine the approximate angle of the stand divide the display end height by the length of the stand that the calculator sits on and take the arcsine For example Multipurpose Acrylic Riser Stand Nonskid Pads 9 x 11 x 2 14 Arcsine of 2 25 11 11 8 degrees 5 An E Z Hook connector is a popular engineer s clip on connector for making electrical connections to circuit components An example is shown greatly enlarged below Red would be used for positive and black for negative The user presses the end like a syringe to open a small hook at the left end as shown below to clip onto a small part of the battery terminal Various sizes are available including a micro hook model See http catalog e z hook com category test hooks Perhaps
66. pproximately 161 8 watts for the second filament The three settings then give 100 161 8 and 261 8 watts and will appear equally spaced in brightness since 161 8 100 261 5 161 8 An even more remarkable continuation of this problem is once you ve got 100 and 161 8 watt filaments consider that there is a FOURTH wattage setting that is never used in practice that obtained by connecting the filaments in series This will give a lower wattage than the other three what is it This one DOES require an elementry knowledge of Ohm s law etc If you assume that the resistance of the filaments doesn t change with voltage not really true but may be approximately good enough the amazing thing is that the fourth wattage will be 61 8 watts so that ALL FOUR of the wattages will be successively related by the Golden Ratio The will make the light bulb truly Golden I also tell my class that if anyone desides to go into business marketing these Golden light bulbs and makes millions off of them please remember who gave you the idea Roger also pointed out that a resistor ladder Ria R2a R3a R4a R5a R6a R7a Etc network could also represent the Golden Ratio Rab _ ai i ee _ a 1 61803 One ohm resistors are connected 2 Stage 1 2 3 4 5 6 7 as shown in Fig 1 Each stage is shown with a break in the circuit If all the gaps in Fig 1 are Fig 1 Resistor network approximates 9 closed resulting in an infinite ladder of resistors
67. re is not a best angle 99 66 If you Google calculator stand you will get About 56 600 000 results Bing returns 48 900 000 results Fig 10 shows a formal display case of a few of Wlodek s calculators in the UK The Display case was provided by Imperial College for a conference and it is not optimum for calculator displaying HP Solve 27 Page 23 Page 7 of 12 Photo by Jake Schwartz Fig 10 Formal Display case Demonstrating HP Calculators One of the issues that collectors have is the number of and variety of batteries that are used for them Let s estimate the cost of batteries for the few calculators shown in the 30 calculator stand Ata conservative 3 per calculator that is 90 just for batteries A casual HP collector will have at least 200 machines Keeping all of these machines in batteries is a major cost issue To demonstrate a calculator means that it has to power up and work If it is an HP classic machine the display will use battery hungry LED displays and an AC adapter would probably be used to demonstrate these seven machines There are other LED display models and the space and weight of the adapters adds to the issues of a well displayed working HP calculator collection See Fig 2d on page 2 AC adapters require AC outlets and wires Some HP calculators cannot be AC adapter powered without their batteries and to do so will damage the machine The Woodstock machines fall into th
68. re shown throughout the book to calculate HP Solve 27 Page 15 Page 4 of 4 Collecting Displaying Demonstrating Storing HP Calculators HP Solve 27 page 16 Article Return to Top Collecting Displaying Demonstrating and Storing HP Calculators Richard Y Nelson Introduction What is a collectable People collect just about anything from buttons to motor cars The reasons will vary from having a special interest in the collected item to inheriting a collection Collectables are interesting and are a great conversation topic for friends to talk about a a P 3 d f i 3 Ss gt i k w gt A gt Vi tA TSG Va r gt i a q 3 gt 4 My mother once received a small angel figurine as a gift from a casual friend She displayed it on a shelf for all to see Her other friends saw the angel and they also bought her angels for gifts Before long five years she had become an angel collector Fig 1 shows a small corner used to display her collection The angels range in size from 2 inches to over 20 inches Some have fiber optic colored lighting and moving wings Some represent various cultures and beliefs They are made of a dozen different materials and each has a story Fig 1 Example of a collect buying and selling them develops At this point the collection starts to able 45 of hundreds of increase in value This often justifies th
69. register and run rel Lower case names are used to avoid machine name conflicts The one plus starting sto and rel may be omitted if register zero is not needed This system may be used to store programs names and addresses etc as well You may have a bunch of routines that you want to hide and then call in one or more programs Simply store the program in a register and use the sequence n rel EVAL in the calling program A series of alarms used by different programs is one example About the Editor S Richard J Nelson a long time HP Calculator enthusiast was editor and publisher of HP 65 Notes The PPC Journal The PPC Calculator Journal and the CHHU Chronicle He has also had articles published in HP65 Key Note and HP Key Notes As an Electronics Engineer turned technical writer Richard has published hundreds of articles discussing all aspects of HP Calculators His work may be found on the Internet and the HCC websites at hhuc us He proposed and published the PPC ROM and actively sa contributed to the UK HPCC book RCL 20 His primary calculator interest E is the User Interface Richard may be reached at rjnelsoncf cox net HP Solve 27 Page 51 Page 5 of 5 Fundamentals of Applied Math Senes 10 HP Solve 27 page 52 Article Return to Top 10 in Fundamentals of Applied Math Series Calculating Numerical Roots Richard J Nelson Introduction What is a root Do you reco
70. rough M9 Modes variables related to the Modes settings Real The calculator supports the predefined real variables A to Z and 0 Ce a You can also access the list of predefined list variables and matrix variables using shift keys Figure 3 shows a sample screen that accesses a predefined matrix variable The figure shows that the matrix variable M1 is selected Notice that under the list of data types the calculator has a line that displays the HP Solve 27 Page 5 Page 2 of 7 size of the currently selected matrix In Figure 3 the matrix variable M1 has five rows and four columns In a similar manner the calculator displays the size of the selected list variable E a Home va M Complex WIL ist MY Matrix MW Modes Mig Fig 3 The Matrix variables Figure 4 shows the Real variables The figure shows that variable A is currently selected The line below the list of data types shows the current value of variable A which is 2 30258509299 In a similar manner the calculator displays the values in the selected complex and modes variables The Math Menu The Math menu is in my opinion the computational powerhouse of the HP 39gII This menu displays a list of the following sets of mathematical functions oe aS Fig 4 The Real variables Calculus functions 8 Loop functions Complex functions 9 Matrix functions Constants 10 Polynomial functions Statistical distributions 11
71. ser could buy There was a tremendous effort by HP and the HP user community to write and share programs What most current users may not appreciate 1s the fact that these tens of thousands of programs will frequently run on today s models with little changes for the new changed functions An example is the financial HP 20b or 30b that 1s repurposed into a high end RPN scientific calculator One of the sources for program ideas as well as new functions to be added to the machine is the PPC ROM HP Solve 27 Page 31 Page 2 of 3 There are many sources aside from a specific internet search for HP Calculator programs RPN RPL or Aplet Here are a few 1 Google HP Calculator Aplets for 230 000 results Downloading Aplets to an HP 39 40gs is described in a pdf file by G T Springer at http glencoe mcgraw hill com sites dl free 0078887046 628217 Aplets_to_ the HP 3940gs pdf 2 RPL programs may be found at http www hpcalc org 3 RPL and RPN programs may be found at http www hpmuseum org 4 RPN and RPL programs may be found on a DVD available at http www pahhc org ppccdrom htm This DVD has all the User Community Newsletters where many programs were published the PPC ROM User s Manual 29 years of HPCC Datafile the Australian Newsletters and HHC Conference Proceedings 5 HP s Calculator website http h30248 www3 hp com calcclub Observations and Conclusions More than three quarters of HP s Fina
72. st four digits limit of my meter of the golden ratio I would be interested in other example of the golden ratio Email me at hpsolve hp com Table 1 Electrical Measurement of Fig 3 Vs Theoretical Stage Resistance DC Voltage Comments Calculated 29 00 Input Digits 1 20 00 K 11 06 VDC Highest power required by R1 2 2 16 66 K 4 22 VDC 2 3 16 25K 1 62 VDC 3 4 16 19K 0 617 VDC 4 5 16 18 K 0 238 VDC Five stages provide four digits 5 6 16 18 K 0 0948 VDC Higher resolution meter required 6 7 16 18 K 0 0475 VDC Higher resolution meter required 6 Correct truncated digits 9 stages will provide 8 correct digits 1 61803 39985 2 HP Solve 27 Page 48 Page 2 of 5 Here is the content of this issue S01 A User s Perspective of the HP 39gII By Namir Shammas This machine was announced in our last issue and now we present a user s view of some of its many features S02 Get Rich Slow is a very new book by John Webber John has been active in the rental real estate business for decades and he has written book providing the step by step procedures on how this industry is able to provide a slow but sure income S03 Collecting displaying Demonstrating and Storing HP Calculators Collecting calculators is more popular than you might think Books have been written on the subject and no matter what kind or type of calculators you might collect nearly every collector will have a few HPs Once you have a dozen or more machin
73. ter tax rate of return they have a method for evaluating investments Now that investors have calculated their after tax rate of instead of rely Ing i e return John walks them through the process of determining heavily on gut instinct whether or not the property meets the investment criteria IF so John then explains how to make an offer on the Step 8 Buy It or Walk Away Decision Time HP Solve 27 Page 14 Page 3 of 4 property discusses the importance of due diligence during the purchasing process and encourages investors to modify their calculations of after tax cash flows and rate of return based on any new info discovered and the final negotiated numbers Step 9 Help the Money Tree Thrive Effective Landlording At this point investors are now officially landlords It s time for them to roll up their sleeves because the real work begins John informs landlords of all the follow up items that need to be accomplished after the closing the importance of selecting good tenants the need to keep the property in good condition the importance of good record keeping how to maximize rent and control expenses IF all of that sounds a bit overwhelming John outlines the benefits of hiring a property management company Need and want to understand how to use your HP 1ObII calculator John can help you he provides step by step problems that will help make critical financial calculations a snap Keystrokes for the HP 10BII a
74. the Commodore 64 while the HP41 was running A beauty in my collection is a huge fully functional HP 33E which was used in the earlier days to learn RPN to students With a core of 5 people Andr Dehondt chairman Philippe Roussel Rudy Mariman Gino Matthys and myself we started back in 1981 the HP 41 calculator club PCC Belgium 3 years later I took over the chairman function as Andre left the country for a new life on the other side of the globe In the process of combining PPC Belgium with the Belgium TI User group the name of the group changed to PCX Pocket Calculator eXchange HP Solve What have you used your calculators for Nowadays only for simple calculations and small programs In the earlier days for about everything mathematics problem solving gaming interfacing controlling HP Solve Have you noticed anything interesting about calculator usage during your travels Not in special to me my 41 was killing my travel time HP Solve Does your calculator usage involve more than your profession Yes it was a hobby as you can read above HP Solve What was the largest problem you have solved with an HP calculator To be honest I don t remember The most challenging was definitely a synthetic HP41 program writing its own subroutines before executing them HP Solve What are you currently using HP calculators for Nowadays only for simple calculations and small programs HP Solve What appeals to you about HP
75. these two values are the negatives of each other they are algebraically the same The square root of 2 is expressed as 1 414213562377 which is an imaginary number and a particular case of complex numbers The subject of complex numbers will be covered in a future installment of Fundamentals of Applied Math Series Imaginary numbers may be operated on in a similar manner as real numbers Squaring an imaginary number is a negative number zero excluded The HP 35s has operations to perform complex arithmetic X complex trigonometry sin cos tan and the mathematical functions z 1 z Z In z and e where z and z2 are complex numbers The square root of 2 is also expressed on more advanced calculators as a complex number which is an ordered pair of numbers shown as 0 1 41421356237 The is assumed to be attached to the second number Most complex number functions are found on algebraic and graphing calculators HP Solve 27 Page 54 Page 2 of 4 Table 1 shows the current HP calculator lineup All of the financial scientific and graphing calculators have av anda y key The OfficeCalc 100 OfficeCalc 200 and OfficeCalc 300 has av key but no y key Some of the Scientific and Graphing machines also have a symbolic capability which is indicated by an Table 1 Current HP Calculator Products 24 Financial Calculators Scientific amp Graphing Home amp Office 1 HP 10bdII HP 10s HP Calcpad 100 2 HP 10bIl HP
76. until this point However taxes are just one of those things everyone can count on and investing in real estate is no exception to this rule John outlines the different set of rules laid out by the Internal Revenue Service IRS and helps investors determine their after tax rate of return after determining their tax bracket depreciation purchase and loan costs passive losses paying tax on gains and the alternative minimum tax Step 6 Crunch Numbers Like a Pro John points out that in order to make good financial decisions and money you need to know how to crunch the numbers In this chapter John outlines three important financial calculations every investor should know and understand time value of money amortization of mortgage loans and calculation of cash flows He makes several calculator recommendations and features keystrokes for the newly released HP 10bII financial calculator and the TI BAI Plus Step 7 Figure the Bottom Line Cash Flows amp Rate of Return As John states in this chapter It is time to get our money s worth After making the calculations in steps 3 6 investors can now project their cash flows and determine their final rate of return John helps investors Get Rich Slow also figure their cash on cash return project their cash flows appeals to experienced after tax and operating expenses project cash flows after investors because now tax for the sale of the property and finally calculate their af

HP Solve: Issue 27 (April 2012)

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