User Manual - Incpt.Mobis
Contents
1. 2n 1ory m 0 m n are integers x lt 1 797693 x 10308 Total of numerator and denominator must be equal or less than 9 digits however some 12 digit fractions can be displayed Page 6 3 3 History and Calculated Data 3 3 1 History Calculator can remember up to 31 newest calculated expressions You can scroll through calculation history content by pressing ES pop up sub keyboard then es T Or T to scroll to the previous or next expression 3 3 2 Result Res Variable X Y Z M and Extension Variables Res The last calculation result is stored in Res memory the Res memory content is updated whenever a new calculated expression is displayed Res memory helps your calculation continuing You can also input it by pressing Res Res 30 FigureO7 Example of continuous calculation Variable X Y Z M Calculator has four variables named X Y Z M You can assign the values to a variable Eg ci from the calculated expression or the roots of solved equations Pressing m M followed by the variable key you want to assign value In Equations Solving Result Screen press El store the root to variable In Converter and Constant Table you have to select the variable first then select the value to assign 125 19 5 4 12 Y lt 747 25 Figure08 Example of saving amp using Variable Page 7 Extension Variables A E M Ms From version 1 2 Calculator2. look the examples below to have the basic knowledge in number sequence calculation Example 1 let s define the Fibonacci series to be one indexed call it like Fibonacci D 0 F Fn Fa 1 Fn 2 0 1 1 2 3 5 8 13 21 Calculate F of the Fibonacci sequence Solution 1 Initial Steps M1 0 M2 1 2 Calculation Step Press 11 2 times M M FM M M2 Me M MM FM M MM M 99 Figure11 Solution of Fibonacci Calculation Figure10 Explanation In the Initial Steps let s assign the initial value for F4 and F M is considered as F but now M is F4 Fa F4 F Then we re assign the value for F and Fp Press the in the 1 time Fa is calculated Press the 2 time F is calculated Press the n time Fa is calculated So Press 11 2 times to calculate F41 Example 2 Given the number sequence AF X Led where n gt 1 amp x 1 Xni Calculate X and Y x Sum of X to Xs Page 9 Solution Let s call A the Sum of X to Xs M is as X and Mi is as X 1 1 Inital Steps MA 1 M1 1 2 X Calculation Step Me NA A MiMicM 5 2 Me SEM A A M M M 3 Sum of X Xs is A A 80 197 8540 Figure12 Example 2 Solution 3 5 Unit Converter and Constant Table Pw i an Pressing CEA o EI co open Unit Converter or Constant Table If current expression is calculated its value will be used
3. the Root Equation contains invalid variable Equation must contain only X Simultaneous Linear Equations with two unknowns must contain only X and Y Simultaneous Linear Equations with three unknowns must contain only X Y and Z Equations Solving Invalid Equation s un Important if Expression contains symbol it will be considered as an equation and all variables X Y Z will be considered as the unknowns but you can use M as a variable Function Menu Mode 5 1 Calculator Press Menu and select Calculator Basic Scientific Calculator this is the default mode of Calculator o Basic Calculator s Functions Basic numeric calculations x Fraction Mixed Fraction a 2 Sexagesimal Degree minutes second calculations Power x Exponent E Square Root amp Real Root Vx 1 y Trigonometric functions Sin Cos Tan ArcSin Sin ArcCos Cos ArcTan Tan Sinh Cosh Tanh Sin Cos Tan Logarithm Log Ln Log b Factorial X Permutation D and Combination C Abs IXI Integral f dx Variable X Y Z M Unit Conversion Length Area Volume Mass Speed Pressure Energy Power Data Time Constant Table 18 popular constants Convert the integer number to BIN OCT HEX Base Export Expression to pictures Equation and Simultaneous Linear Equations Solving Page 13 5 2 Statistics Press Menu and select Statistics Press key to calculate curre
4. as base value in converter otherwise it will be 1 To convert a unit select the Unit Category then select the base unit and the base value will be converted to destination units you can also select the value to input it back to expression or save it to the selected variable Conversion amp Constant El TS i in 72 7 4 P gt um Do Figure13 Example of Convert 15NM to other length units Page 10 3 6 Toggling Result Press tama to toggle the current result from decimal to fraction mixed fraction and from faction to sexagesimal Degree minutes second Only fractions with less than 9 digits and some 12 digits fractions of numerator and denominator can be displayed Only the decimal with absolute less than 2147483647 can be displayed in sexagesimal BE HHA AAZ BBE 35 15 15 00000 Figure14 Example of toggling result to fraction and sexagesimal 12 30 15 22 5 15 4 Equation Calculations 4 1 Quadratic and Cubic equations You can solve Quadratic amp Cubic equations any time and in any mode except Equation t1 mode by inputting it directly and pressing key to solve Press gt HS to input symbol x x 12 Xx 3 ciety isle EICI SET me CI nn 415 XI anm 1 2 T si ibis WE Res 04 CONV MENU 2102 Figure15 Example of solving Equation Important after the equation is simplify all of its coefficients absolute value must be greate
5. aus MC UR OT L LL Mall l M li Http iPhone Calculator com User Manual Calculator co 2011 Incpt Mobis Group 2 Contents 1 Graphic User Interfat iore adora bua ERROR RoUs in Besan in FpaC SuSNSEEE Eos apoUa iae Sein fh Die sam e ausida stament 2 Az dde Ro ERHIELT A 2 Dels OCDE MN MERO TEUER 3 2 2 inputting Expressions and Values cames tesi cometent Gent ed a eor bra Dium ia D msmtsit metes 4 2 2 1 DOU FO E 4 2 2 2 Editing he EXDEFBSSIDI atiam sect SN MMISE REDE HUI E usada AOA MEDIE NONIS 4 2 2 Saving the Expression t0 Img omes anreons vate daa uei tee EE EEEE TUS edd Ska nismes mi 4 Calcan Lm 5 3 ilie HH 5 22 CA A CORS LES e To m 6 3 3 History and Calculated Da3td sessile beri In EVER PPS ea oos tI eT Mtas bra Oa Ep S b uerb US eestaes eenaeaae ete 7 3 3 1 mg NC P I 7 3 3 2 Result Res Variable X Y Z M and Extension Variables eee 7 3 3 3 Resul BqoirekBqco c 8 3 4 Assignment Operator amp Number Sequence Calculation cccccsccccssesceesseeceeeeeeeceseeeceeeecseeness 8 3 5 Unit Converter and Constant Table cccccccccsssssssseececeesseeessseececcesseaeseeecceesssaeaseseseeesssagagsges 10 Sr TOCE EN E 11 Ed ason Calculations arcane
6. e Base Calculation Programming Mode let you calculate the number in variety base and convert the result among them Calculator ee support all base from 2 to 16 and many logical operators such as NOT AND OR XOR SHIFT LEFT SHIFT RIGHT DIV MOD with powerful 64 Bit Integer 9 223 372 036 854 775 808 to 9 223 372 036 854 775 807 for the signed number and O to 18 446 744 073 709 551 615 for unsigned number Press BASE change the default base Page 14 Press EEES insert the custom bases other than BIN OCT DEC HEX Press all zm to display the negative binary number in computer store style How the negative number is saved on standard computer memory Press mud ium to display the negative value of a positive number Notice NEG and 2 s are only available in BINARY Default Base Example 50 is 110010 in BIN Base But computer use 11001110 to present 50 Example amp Explanation 12 5 pee HAE vex biv101001 BIN 1000 0001 Figure18 Example of Base Calculation Figure 14 Explanation AE in HEX base divide by 101001 in default base BIN then add the result by 125 in DEC base Display the result in Default base BIN 10000001 Notice When input the number of default base you don t need to input the followed base indicator The Green small text number Base Operator Priority 2 3 5 6 Tutorial Tutorial is very useful for new users select it from Menu screen Press lt lt Back o
7. el all configurations Page 16 THE END Page 17
8. es Before an opening parentheses Ex 123 45 67 Between a number and a variable Ex 4 5M mean 4 5 multiply M The closing parentheses can be omitted the program will add the missing closing parentheses in same stack height Ex 150 2 2 2 Editing the Expression The Cursor I Beam is the Vertical Red Line on the screen this is where you will insert numbers operators or functions to the expression Cursor IBeam FigureO5 Cursor I Beam in an Expression Touch on the screen to change the position of cursor you can also press zI or ES to move the cursor to the left or right um Press key to delete the symbol before the cursor 2 2 3 Saving the Expression to mage You can also save your expression to image by long pressing on it Calculator can save the expression with size up to 1024x512 Page4 Save Image Do You vvant to save Ihe Expression to 405x54 PNG Image in Your Photo Gallery2 No Return To Home Screen Saved Photos Carrier gt 9 38 sfo 12 4 Log 223 Photos Settings FigureO6 Example of saving an expression to image 3 Calculations 3 1 Priority The priority of inputted operations functions expression is evaluated according to the following table The operation functions expression in the same priority will be performed from left to right Operations Functions Expressions 1 Parenthetical Expressions 205 The Functions need the spec
9. has more ten extension variables named A E and M Ms On iPhone Slide 1 keyboard to the right or the 2 to the left side to open the extension variables keyboard On iPad Press button to pop up the variables window Pressing the variable key right after calculate the expression or Dragging and Dropping the results to the variable you want to assign value to 3 3 3 Result Drag and Drop Drag and Drop the result of calculated expression to the keyboard key is the easiest way to save or make the new expression of its value 123000 456 123000 456 129 456 m a foo Sin Cos Tan HYP Sin Cos Tan xn 1 XN NET 9 Ca a lleial FigureO9 Example of Dragging amp Dropping the result 3 4 Assignment Operator amp Number Sequence Calculation Assignment Operator You can use Assignment Operator to assign a specific value or a calculation result to a variable s xec2 xexrT5 x Figure10 Assignment Example using Assignment Operator FigureO9 Explanation First Assign 2 to X then calculate X 5 and save the result to X Notice X 2 X X 5 is a multi statement expression only the result of last sub expression statements will be shown Page 8 Number Sequence Calculation You can calculate the F n or F of a number sequence with assignment operator multi u n statements technique using and pressing many times Please take a
10. ial display Vx Nx Logab x f dx Ci P 3 Functions require an argument s and end with a closing parenthesis Sin Cos Tan Sin Cos Tan Sinh Cosh Tanh Log Ln 4 Functions come after input value X X X X X d r g 96 Multiplication Division x Addition Subtraction Page 5 3 2 Calculation limits Input Range 0 lt x lt 1 8 x 101 sinx 0 rad lt x rad lt 314159265 rad 0 grad lt x grad x 2 x 10 grad 0 lt x lt 1 8 x 101 0 rad lt x rad lt 314159265 rad 0 grad lt x grad lt 2 x 10 grad 0 lt x 1 8 x 1079 x 2n 1 x 90 0 rad lt x rad lt 314159265 rad x 2n 1 x 1 2 rad 0 grad lt x grad lt 2 x 10 grad x 2n 1 x 100 grad n is integer 0 lt x 1 0 lt x lt 1 797693 x 10 8 COS X tan x 1x 1x sin COS tan ix sinh x 0 lt x 710 47586 cosh x sinh x 0 lt x 1 797693 x 10 95 cosh a tan a gei I 0ckzn z10 k n are integers n 308 1 lt x 1 797693 x 10 n k 0 lt k lt n lt 101 k n are integers 1 n 308 lt lt 1 797693 x 10 kl n k x gt 0 x lt 1 797693 x 10508 x O0 y gt 0 x lt 0 y is integer or y m n are integers x lt 1 797693 x 10598 x gt 0 Vx lt 1 797693 x 10308 x O0 y gt 0 m 2n 1 R H l l 1 1 2n x lt 0O y
11. nt expression and insert its result to the data set To delete the inputted value in the dataset select it on the top left column of the screen and choose Yes To obtain the statistical data press STAT to open statistical Data Table and select the Statistical value you want to input back to expression In Data Table you can edit the inputted data by select Variable 5 3 Polynomial Equation Solver To Solve Polynomial Equation you have to input all of necessary coefficients one by one To change coefficients press A or 19 scroll back to the previous coefficients You can also restart the Solver by pressing AC Important Solving equations in Equation Solver Mode is the same as solving equations in Calculator mode but the roots in Equations Solver mode will be more accurate when coefficients are too big or too small or the equations are too complex to simplify 5 4 Simultaneous Linear Equations Solver To solve Simultaneous Linear Equations you have to input all of necessary coefficients one by one To change coefficients press A or I to scroll back to the previous coefficients You can also restart the Solver by pressing F Xeld Important Solving equations in Equation Solver Mode is the same as solving equations in Calculator mode but the roots in Equations Solver mode will be more accurate when coefficients are too big or too small or the equations are too complex to simplify 5 5 Base Calculation Programming Mod
12. panels you can swap them by pressing e2 keys or sliding the keyboard horizontally AYP ESM Cos Van M ng pe Panel 1 Panel 2 Figure02 1 Two panels of the main keyboard Titanium Skin Page 2 Ra Ne w jo jonj Panel 1 Panel 2 Figure02 2 Two panels of the main keyboard Violet Skin Panel1 Numerical Panel with popular functions like Power Square Root Percent Fraction Panel2 Advanced Functions Panel contains Trigonometric Functions Sin Cos Tan Natural Logarithm Log Ln Logab and Integral I HYP ARC SCT be 4 Sin Cos Tan nex ZEN VS c 42 a YS Res 2 XV Z M M Figure02 3 Single Panel of the main iPad Keyboard 2 1 Shift Button Each key on keyboard may contain two functions Main Function and Shift Function Shift Function Main Function FigureO3 A key with two functions B Press EE key followed by a second key to perform the Shift Function of the second key You can also toggle between the Main Function and Shift Function by Long Pressing any key Page 3 You can hold the shift key for a while to keep the shift scene it helps you perform the Shift Function continuously FigureO4 Keep shift scene 2 2 Inputting Expressions and Values 2 2 1 Input Rules The Expressions can be inputted in the same form as they are written The multiplication symbol x can be omitted in some cas
13. r Next gt gt to scroll to previous or next tutorial page and Skip to exit Page 15 5 7 Settings Select Settings in Menu screen to configure your Calculator The configurations data will be applied when you touch Apply buttons The current configurations data will be saved when you exit the program SETTINGS Angle Unit Select the current angle unit Deg Angle Unit Degree Rad Radian Grad Gradian Auto Convert To Fraction v OFF z Auto Convert To Fraction When a new Sounds m Alto fener to NumPad ex expression is calculated Calculator will try to after Sin Cos Ln convert its result to fraction automatically LongPress Fast 250ms Slow 500ms Auto Return to NumPad after Sin Cos Tan x BEE a tel Titanium Main Skin iPhone only Keyboard will change to Panel 1 automatically for the number input follow Sin Cos Tan Log etc functions Exit in 2 Tap s Tap the button twice to exit the program Exit in 2 Tap s Clear All Data Apply Reset Default Cancel Sounds Turn On Off keyboard s sound message box s sound Long Press Hold down response time duration Clear All Data Clear All Current Data History Variable Statistical Data Main Skin iPhone iPod only There are two skins Violet and Titanium Titanium is default Reset Default Reset the configuration to default Apply Apply and Save the configuration data Cancel Canc
14. r than 107 and the difference among those coefficients must not exceed 101 times Page 11 4 2 Simultaneous Linear Equations You can solve the system of 2 or 3 equations any time and in any mode except Equation t1 mode by inputting it directly and pressing key to solve Press gt E key to input al symbol Each Equation must be separated by usins El key to input it Xx 3y 8 2x F y 2X 6y 8 2x 0 75y 0 C l p irn ede 3i dE 103 1 MEI E Res is MENU ono Ar Figure16 Example of solving Equations Important after the system of equations is simplify all of its coefficients absolute value must be greater than 1079 and the difference among those coefficients in each equation must not exceed 1017 times 4 3 General Equation You can solve the general equation F X by Newton s law You can also select X in Newton s law by input X otherwise X will be zero Xx 3x 4120 x 10 2 987445482 Figure17 Example of solving general equation by Newton s law Page 12 5 Important Newton s law is able to find only one root each calculation so the result is displayed may not contain all roots of the equation 4 4 Equation Calculation Errors The Equation or Simultaneous Linear Equations are too complex to simplify and solve The Equation or Simultaneous Linear Equations don t OK have any root or has infinity roots Equation Solving Unable To Find
15. secs cepceccecas Fuss Pola messi dr sa Fo var eou EU V PR SERA MI DU I SE Pa RE FE EPI E ec MEE E LEUME 11 A1 OuadrbtcahdcCtublcedquatiofiSssismtestiemiaiuicestEn Phe cuibntISR qpin Uis entend AA 11 42 Simultaneous Linear EQUATIONS certes tat TE pud 12 a NC zeli el E E 12 44 Equation Calculation Errors iei esu sevtaseveri Cus ade vp Cake dps EY FREFG SUPbI ue FEepht Used E pET ats msnm tn tions mt 13 Function Menu Mode ccccsccsccccsccscsccccsccccacsccccsccscscccccccccassecepsccecsccecnccccacsccessccsssccescccccasseaes 13 o EMEC e uoMec re 13 De A CS r E ence ee Sed UE IM D M I DLP MU EE P DU RU d des RES 14 5 3 Polynomial EQUATION Solver uiis ioi eire eta MEE erekR Pe eek N ESI du p UR E922 MEE EF Cex ES estet e DE HA CR TREES ER E OeENUE 14 5 4 Simultaneous Linear Equations SOIWVES ccccccsseccccesscceceesecccceseccccesececeuseceseeeeccessuseceseugecetseees 14 5 5 Base Calculation Programming Mode esses nnne nnns 14 2T ENS olg cR 15 VE idc TRETEN 16 Page 1 1 Graphic User Interface 1 Indicators 2 Input Expression 3 Calculation Result 4 Notification 5 Main Keyboard Press key to pop up Sub Keyboard 6 Menu amp Special Function Keys Converter Constant Table Statistics 7 Fast keyboard switching keys CONV oz Bp FigureO1 Calculator Graphical user interface 2 Keyboard The keyboard contains two
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