CALCULATOR INFInITY
Contents
1. 123000 456 123000 456 a Shift n SIA Cos Tan HYP Sin Cos Tan X OJ AIEN E KE EN Figure09 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 X 2X XT S X Figure10 Assignment Example using Assignment Operator Figure09 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 9 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 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 p 0 F gt Fn Fn 1 Pu 0 1 1 2 3 5 8 13 21 Calculate F44 of the Fibonacci sequence Solution 1 Initial Steps M1 0 M2 1 2 Calculation Step Press 11 2 times MeM 4 M M M M M 1 M M TM M M M M ape Figure11 Solution of Fibonacci Calculation Figure10 Explanation In the Initial Steps let s assign the initial value for F4 and F M is conside2. Figure 20 Example of Fx Functions Assignment 5 2 2 Recall Edit amp Synchonized Fx Functions Use the Fx Function as well as a normal function after assigned it Page 16 Figure 21 Recall F1 from Figure 20 You can check the Fx Function by pressing equal to know the equation after inputting it Figure 22 Get the equation from F1 Function Notice The equation will be synched with the Graph Page s equation If it is valid to graph and vice versa 6 Function Menu Mode 6 1 Calculator Press Menu and select Calculator Basic Scientific Calculator this is the default mode of Calculator Basic Calculator s Functions Basic numeric calculations x Fraction Mixed b l Fraction a Th Sexagesimal Degree minutes second calculations Power x gt Exponent E Square Root amp Real Root vx 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 P and Combination CF Abs X Integral f dx Derivative d dx Variable X Y Z M Fx Functions F1 F2 F3 Unit Conversion Length Area Volume Mass Speed Velocity Acceleration Angular Acceleration Volume Flow Pressure Force Density Common Energy Electronic Charge Power Illumination Radioactivity Temperature Data Fuel Compusion Time Constant Table 44 popular constants Convert the integer number to BIN
3. 8 x 1010 sinx O rad lt x rad lt 314159265 rad 0 grad x x grad x 2 x 10 grad 0 lt x lt 1 8 x 1010 0 rad lt x rad lt 314159265 rad 0 grad x x grad x 2 x 10 grad 0 lt x x 1 8 x 1019 x z 2n 1 x 90 0 rad lt x rad lt 314159265 rad x 2n 1 x 1 2 rad 0 grad lt x grad x 2 x 10 grad x 2n 1 x 100 grad n is integer sin x 0x x x1 cos ix sinh x 0 x 710 47586 cosh x COS X tan x Mit M ur ws logx amp Inx 0 x k n x 10 k n are integers n 308 lt 1 797693 x 10 n k 0x kn x 10 k n are integers n 308 1 lt 1 797693 x 10 km x gt 0 x lt 1 797693 x 10308 x 0 y gt 0 MS m x lt 0 y is integer or y ENS m n are integers x lt 1 797693 x 10308 x gt 0 Vx 1 797693 x 10398 x 0 y gt 0 Td 2n x lt 0 y 2n 1or7y m 0 m n are integers M x lt 1 797693 x 10398 Total of numerator and denominator must be equal or less than 9 digits however some 12 digit fractions can be displayed Page 7 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 ne OP or T to scroll to the previous or next expression 3 3 2 Result Res Variable X Y Z M and Extension Varia
4. 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 6 5 Base Calculation Programming Mode 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 0 to 18 446 744 073 709 551 615 for unsigned number Press BASE to change the default base Press BASE to insert the custom bases other than BIN OCT DEC HEX Page 18 Press abl m display the negative binary number in computer store style How the negative number is saved on standard computer memory Press mud m 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 1255 FAE uex Div 101001 BIN 1000 0001 Figure23 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
5. OCT HEX Base Export Expression to pictures Graph Plot Equation and Simultaneous Linear Equations Solving 6 2 Statistics Press Menu and select Statistics Press key to calculate current expression and insert its result to the data set Page 17 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 El 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 6 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 9 to 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 6 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 Or s to 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
6. lei tion 16 5 2 2 Recall Edit amp Synchonized FX Functions ss 16 Function Menu Mode Luse 17 OR CO en 17 MEME Gro PC X 17 po PA EP NN 18 6 4 Simultaneous Linear Equations SOlVer rrrranrrnnrnnrrrnnnnnrrrnnnnerrnnnnnernnnnnernnnnnsennnnnnennnnnnesennnnsseennnn 18 6 5 Base Calculation Programming Mode sis 18 SOME oc ec 19 7 Scheme URL For Integration Developer ccccsccsssccsssccsceccsceccccsccccsccccsceccscsseccsseccsceccscesescess 19 NNN 20 Page 2 1 Graphic User Interface 1 Indicators 2 Input Expression 3 Calculation Result 4 Notification 5 Main Keyboard Press E key to pop up Sub Keyboard 6 Menu amp Special Function Keys Converter Constant Table Statistics 3 7 Fast keyboard switching keys LI gun Gog Figure01 Calculator Graphical user interface 2 Keyboard The keyboard contains two panels you can swap them by pressing e2 keys or sliding the keyboard horizontally M Shift HYP Sin Cos Tan Panel 1 X X IN TT Logb Log Ln dx Absl Z M M Panel 2 Figure02 1 Two panels of the main keyboard Carbon Skin Page 3 C C E EE E mJ uc e gt z Q 2 5 C se E a r ie ila T SE iB o Panel 1 Panel 2 Figure02 2 Two panels of the main keyboard Silver Light Skin Pane
7. Http 1 fiProne G Calculator com User Manual Calculator oo 2012 Incpt Mobis Group 2 6 Contents 1 Graphic User Interface vase en diese eine sam LEN pens cc one 3 KN NN 3 ETON 4 2 2 inputting Expressions and Values Lave 5 2 2 1 NN ienr eme EE EE EA E une 5 2 2 2 Editing he EXDEFBSSIDI atiam arnan ee E ea onam m AETA A 5 2 2 Saving the Expression t0 Img eese anres vate tonnes exi bi asa EEEE AERE Ska EPA xS des dead 5 Calc UA AE OINS ae e EE E E E E E E E 6 POP ONES 6 NNN 7 gt History and Calculated Do EE 8 3 3 1 FONN 8 3 3 2 Result Res Variable X Y Z M and Extension Variables eee 8 3 3 3 FUNN 9 3 4 Assignment Operator amp Number Sequence Calculation Re 9 3 5 Unit Converter and Constant Table ss 11 Sr TOCE SUN 12 E uation Calculations a a DU I SE ra PE FE EPI tn eee 12 A1 VNR 12 42 Simultaneous Linear EQUATIONS Ge 13 1 FANEN 13 4 4 Equation Calculation Errors savccccssscsusssacendioontdoetanaiionddsandeusapatnndeanatdsetanelasnbioaeswanenednaddeoatdswtesateoets 14 Graphing amp Fx Funtions Calculation cccsccscscecsccscsccccccscscsccccccscsccececscsceccecscuceceececsceceesececes 14 S NPE NN 14 5 1 1 POTENT 14 5 1 2 Fal 210 1916 m 15 5 1 3 Camera Movement ZOOMING and Snal to Intersection 15 5 2 FREUNCTUONS CAlEUIATION Si TE ETT 16 5 2 1 Assign an Equation to Fx ENCORE deep none nd en tonnes
8. bles 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 ARRAS Res 30 Figure07 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 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 Fi 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 2 12 Y lt 2y 747 25 Figure08 Example of saving amp using Variable Page 8 Extension Variables A E M Ms From version 1 2 Calculator 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
9. een this is where you will insert numbers operators or functions to the expression Cursor IBeam 2 22 14 5 FigureO5 Cursor I Beam in an Expression Touch on the screen to change the position of cursor you can also press Es or ES to move the cursor to the left or right Press key to delete the symbol before the cursor 2 2 3 Saving the Expression to Image You can also save your expression to image by long pressing on it Calculator can save the expression with size up to 1024x512 Page 5 Save Image Do You wantto save The Expression to 405x54 PNG Image in Your Photo Gallery 5 Log M 223 Photos Settings Figure06 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 Priority Operations Functions Expressions Parenthetical Expressions The Functions need s special display Vx Nx Log b Ix ie dx X p p Functions come after input value X X5 X XXL d r g 96 Multiplication Division x 3 Functions require an argument s and end with a closing parenthesis Sin Cos Tan Sin Cos Tan Sinh Cosh Tanh Log Ln Addition Subtraction Page 6 3 2 Calculation limits Input Range 0 lt x lt 1
10. ill change to Panel 1 Sounds ON automatically for the number input follow Sin Auto return to NumPad Oe Tan Loe ete E after Sin Cos Ln 8 Clear amp Reset Sounds Turn On Off keyboard s sound Reset Default Setting message box s sound Clear All Statistical Variables Long Press Hold down response time Clear All Data STAT Data Variables 8 p 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 Cancel all configurations Page 20 THE END Page 21
11. ith 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 Hnd Ae HF alale E HA BES 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 m key to solve Press gt EZB to input mode by inputting it directly and pressing symbol x 2x 12 30x 3 Pee TASSE x banat Wabi AARNE 1 HE Res Ls CONV MENU 27103 Figure15 Example of solving Equation Important after the equation is simplify all of its coefficients absolute value must be greater than 10 and the difference among those coefficients must not exceed 1012 times Page 12 4 2 Simultaneous Linear Equations You can solve the system of 2 or 3 equations any time and in any mode except Equation TE mode by inputting it directly and pressing ri key to solve Press m key to input tt symbol Each Equation must be separated by using ll key to input it Xx 3y 8 2x 3 yl 2Xt6y 8 2x 0 75y 0 m ES Tat X IY KAE HOGNE O Res 04 CONV MENU 2703 Figure16 Example of solving Equations Important after the system of equations is simplify all of its coefficien
12. l1 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 Log b and Integral AC Shit HYP ARC MEM gt Sin Cos Tan 3 9 x2 Xo X N 6 TT X Ln Log Log b lAbs l Res 5 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 Figure03 A key with two functions 4 Press shit 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 4 You can hold the shift key for a while to keep the shift scene it helps you perform the Shift Function continuously Figure04 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 cases 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 scr
13. nd select the equation F1 F2 or F3 which you want to plot as Example Page 14 Graph Pag Action 1 Plot as F1 Plot as F2 Plot as F3 Just Open Graph Cancel Figure 18 Example of plotting an equation 5 1 2 Edit Equations In Graph Page Press MS to control your equation stop X Press to hide the equation then press to delete the equation Press o show that hiden equation 5 1 3 Camera Movement Zooming and Snal to Intersection In Graph Page You can use two fingers pinch to zoom in or out like the default Photo Library of iOS Devices You can also press Q zoom in out in a faster and more stable way Press setup the position you want to move to It s very useful in case the position is far away from your current position Press D turn on Snap mode move your finger on the screen to get the Y Value of F X functions you can also move to the intersection and release your finger to get the coodinate of intersection Example Page 15 X 15 89603109428 Y 13 170951 137577 P E qo 200 E Figure 19 Example of snapping to intersection 5 2 Fx Functions Calculation 5 2 1 Assign an Equation to Fx Function Input an F x equation then press gt and select the Fx equation F1 F2 or F3 which you want to assign to Example Fx Assignment v Assign to F1 1 FX Assign to F2 Ed
14. red as F but now M is F4 F3 F4 F Then we re assign the value for F and Fp Press the in the 1 time F 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 4 Xn l3 where n gt 1 amp x 1 Xn 1 Calculate X3 and ae x Sum of X to Xs Page 10 Solution Let s call A the Sum of X to Xs M is as X and M is as X 1 1 Inital Steps MA 1 M1 1 2 X Calculation Step Me ito A lt A M Mi M y 7 MM AA M Mi M 3 Sum of Fin Xs is A A 80 197 8540 Figure12 Example 2 Solution 3 5 Unit Converter and Constant Table m anm Pressing CEA or EE open Unit Converter or Constant Table If current expression is calculated its value will be used 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 NM Nautical Mile tm Figure13 Example of Convert 15NM to other length units Page 11 3 6 Toggling Result LS Press tama to toggle the current result from decimal to fraction mixed fraction and from faction to sexagesimal Degree minutes second Only fractions w
15. the followed base indicator The Green small text number Base Operator Priority 6 6 Tutorial Tutorial is very useful for new users select it from Menu screen Press lt lt Back or Next gt gt to scroll to previous or next tutorial page and Skip to exit 7 Scheme URL For Integration Developer Calculatorinfinity AC Launch Calculator Infinity and clear Display Calculatorinfinity Menu Launch Calculator Infinity and open Main Menu Calculatorlnfinity EXP Expression Launch Calculator and input lt Expression gt Ex Calculatorinfinity EXP 12 4 5x2 Page 19 Figure 24 Result of Example Scheme URL Notice Only Numbers amp Basic Operator is supprted in Scheme URL 8 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 Calculator Degree Rad Radian Grad Gradian Angle Unit Deg Rad Gra Rito Convert To Fraction OFF Auto Convert To Fraction When a new Auto Clear STAT Data GUI amp Sound Main Skin Silver Light Carbon expression is calculated Calculator will try to convert its result to fraction automatically Auto Return to NumPad after Sin Cos Tan LongPress Fast 250ms Slow 500ms iPhone only Keyboard w
16. ts absolute value must be greater than 1079 and the difference among those coefficients in each equation must not exceed 101 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 Xo will be zero x 3x H 1 0 0 823283754 x 3x 1 0 x 10 2 987445482 Figure17 Example of solving general equation by Newton s law Page 13 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 Equation Solving Unable To Find the Root OK have any root or has infinity roots 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 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 Equations Solving Invalid Equation s u n 5 Graphing amp Fx Funtions Calculation 5 1 Graphing 5 1 1 Plot an Equation M GRP Input an F x equation then press gt a
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