Canon F-789SGA manuel d'utilisation

ENGLISH F-789SGA SCIENTIFIC CAL CULA T OR USER INSTRUC TIONS E-IE-455[...]

1 Contents Display ............................................................................................................... P.2 Getting Started Power On, Off ........................................................................................... P.3 Display Contrast Adjustment .............................................................[...]

2 Display How to Use the Slide Cover Open or close the cover by sliding as shown in the figure. <Status Indicators> S : Shift key A : Alpha key M : Independent Memory STO : Store Memory RCL : Recall Memory ST A T : 1-V ar & 2-V ar Statistics Mode CPLX : Complex Number Calculation Mode MA TX : Matrix Calculation Mode VCTR : V ector Calcula[...]

3 Getting Started Power On, Off First time operation: 1. Remove the battery insulation tab to load the battery . 2. Press to initialize the calculator . Power ON: When is pressed. Power OFF: are pressed. Auto Power off Function: When the calculator is not used for approximately 7 minutes, it will automatically power off. Display Contrast Adjustment[...]

4 Application Function Menu (Apps Key) The Apps menu contains mathematical functions. In each Calculation Mode, the listed functions are different. Press and corresponding number to enter the calculation mode. Press to enter the Apps menu. Press / for next / previous pages. iii) ST A T Mode In SD mode In REG mode The default mode is COMP mode. Apps[...]

5 T o select the calculator input & output format [1] Maths or [2] Line [1] Maths – (Mathematics mode): The majority of calculation input and output (e.g. Fraction, pi, square root number) are shown in Mathematics textbook format. [2] Line – (Line mode): The majority of calculation input and output are shown in the line format. The “LINE?[...]

6 T o select the angle unit [3] Deg, [4] Rad or [5] Gra [3] Deg: Angle unit in Degree [4] Rad: Angle unit in Radian [5] Gra: Angle unit in Gradient 90º = radians = 100grads T o select display digit or notation [6] Fix, [7] Sci or [8] Norm [6] Fix: Fixed Decimal, [Fix 0~9?] appears, specify the number of decimal places by pressing [0] – [9]. Exam[...]

7 T o select the statistical display format [4] ST A T ([1] ON or [2] OFF) [1] ON: Show FREQ (Frequency) Column in Statistical Data Input Screen [2] OFF: Hide FREQ (Frequency) Column in Statistical Data Input Screen T o select the decimal point display format [5] Disp ([1] Dot or [2] Comma) [1] Dot: specify dot format for Decimal point result displ[...]

8 F-789SGA allows you to input a single calculation with up to 99 bytes. Normally , one byte is used each time you press one of the numeric keys, arithmetic keys, scientific function keys or . Some functions require 4 – 13bytes. , , and the direction keys will not use up any bytes. When the remaining input capacity is less than 10bytes, the input[...]

9 *2. Scientific functions come with the open parenthesis. Example: sin(, cos(, Pol(, LCM(…. Y ou need to input the argument and the close parenthesis . *3. Omit the last close parenthesis before the , , , and . Insert and Overwrite Input mode In Line mode, you can use INSERT or overwrite mode for inputting. - In Insert mode (Default input mode),[...]

10 (3) Insertion (889900 2889900) Line/Maths mode - Insert mode 6times 1234567+|889900 1234567+2|889900 Number of Digits for Internal Calculation Precision Calculation Range Up to 18 digits ±1 at the 10th digit for a single calculation. ±1 at the least significant for exponential display ±1 × 10 –99 to ±9.999999999 × 10 99 or 0 Inputting an[...]

11 Function Calculation Input Ranges DEG 0 |x| <9×10 9 RAD 0 |x| <157 079 632.7 GRA 0 |x| <1x10 10 DEG 0 |x| <9×10 9 RAD 0 |x| <157 079 632.7 GRA 0 |x| <1x10 10 DEG Same as sinx, except when |x| =(2n-1)×90 RAD Same as sinx, except when |x| =(2n-1)× /2 GRA Same as sinx, except when |x| =(2n-1)×100 0 |x| 9.999 999 999x10 99 0 |[...]

12 |x|,|y| 9.999 999 999x10 99 x 2 +y 2 9.999 999 999x10 99 0 r 9.999 999 999x10 99 : Same as sinx |a|,b,c <1x10 100 0 b,c The display seconds value is subject to an error of +/-1 at the second decimal place |x|<1x10 100 Deciaml Sexagesimal Conversions 0°0′0″ |x| 9999999°59′59″ x>0: -1x10 100 < ylog x < 100 x=0: y>0 x<[...]

13 0<|x,y| 9.999999999x10 12 Default result=x when y=0 |x|<1x10 100 |FREQ| <1x10 100 |x|<1x10 100 |y|<1x10 100 |FREQ| <1x10 100 |x|<1x10 100 x 9999999999 (positive integers) Positive: 0 ~ 0 111 1111 1111 1111 1111 1111 1111 1111 Negative: 1000 0000 0000 0000 0000 0000 0000 0000~ 1111 1111 1111 1111 1111 1111 1111 1111 Positive:[...]

14 Recall memory (A, B, C, D, E, F , 0-9), Rand Calculation within parentheses ( ). Function with parenthesis that request the input argument to the right Pol(, Rec(, d/dx, dx, P(, Q(, R(, Det(, T rn(, Ide(, Adj(, Inv(, Arg(, Conjg(, Real(, Imag(, sin(, cos(, tan(, sin –1 (, cos –1 (, tan –1 (, sinh(, cosh(, tanh(, sinh –1 (, cosh –1 (, t[...]

15 In the same precedence level, calculations are performed from left to right. Operations enclosed within parentheses are performed first. When a calculation contains an argument that is a negative number , the negative number must be enclosed within the parentheses. Example: –2 2 = –4 (–2) 2 = 4 When same priority commands are mixed into on[...]

16 • Press or to display the location of the cause of an error and make required corrections. • Press or to display the cursor at the location of the error , make appropriate corrections Error Message Cause Action Math ERROR • The intermediate or final result is outside the allowable calculation range. • An attempt to perform a calculation [...]

17 Arithmetic Calculations • T o calculate the negative values (exclude the negative exponent) enclose then within the parentheses. • This calculator supports 99 levels of parenthetical expression. Press to enter COMP mode. As the calculation is busy processing, the calculator shows the message [PROCESSING] (without any calculation result). Pre[...]

18 Independent Memory • Independent memory uses the same memory area as variable M. It is convenient for calculating cumulative totals by pressing (add to memory) or (subtract from memory). • Memory contents are retained even when the calculator is powered off. • Clear independent memory (M) by pressing • Clear all memory values by pressing[...]

19 Press to switch a calculation result between fraction and decimal format. Press to switch a calculation result between improper fraction and mixed fraction format. Results will be displayed in decimal format automatically whenever the total digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10. When a frac[...]

20 In Maths mode, press to change the calculation result value between fraction form Decimal form, form Decimal form, √ form Decimal form. In Line mode, press to ONL Y change the calculation result value between fraction form Decimal form, the other and √ calculation will display the decimal value only . NOTE: • In some Calculation results, p[...]

21 820x25% 205 750÷1250% 60 T o calculate 25% of 820 The percentage of 750 against 1250 Display Key in operation Example Percentage Calculations Degree-Minutes-Seconds Calculations Use the degrees (hours), minutes and seconds key to perform a sexagesimal (base-60 notational system) calculation or convert the sexagesimal value into decimal value. D[...]

22 11 MA THEMA TICS MODE: Multi-statements Function • Use a colon to put two or more calculation expressions together . • The first executed statement will have “Disp” indicator; and the “Disp” icon will disappear after the last statement is executed. Disp 1x12:2+25| 1x12 12 2+25 27 1x12 12 1x12=12 2+25=27 using a multi-statement Replay[...]

23 (menu selection page) F-789SGA has total of 79 built-in constant values, you can enter (or exit) the constant value selection menu by pressing , the following display will be shown: • Y ou can go to the next or previous value selection pages by pressing or . • T o select a constant value simply press or . The selection cursor will shift left[...]

24 NO. Symbol Unit V alue Constant Constant T able 1.672621777x10 -27 1.674927351 x10 -27 9.10938291x10 -31 1.883531475x10 -28 0.52917721092x10 -10 6.62606957 x10 -34 5.05078353 x10 -27 927.400968 x10 -26 1.054571726 x10 -34 7.2973525698x10 -3 2.8179403267x10 -15 2.4263102389 x10 -12 2.675222005 x10 8 1.3195909068x10 -15 1.660538921 x10 -27 1.41060[...]

25 NO. Symbol Unit Value Constant 5.670373x10 -8 8.854187817 x10 -12 12.566370614x10 -7 2.067833758 x10 -15 7.7480917346x10 -5 6.67384 x10 - 11 0.21001941568x10 -15 1.616199x10 -35 5.39106x10 -44 2.17651 x10 -8 1.660538921 x10 -27 1.602176565x10 -19 3.9903127176x10 -10 2.8977721 x10 -3 543.1020504 x 10 -12 4.35974434 x10 -18 2.6867805 x10 25 12906.[...]

26 ! Constant values cannot perform rounding. Source: CODA T A Internationally 2010 http://physics.nist.gov/constants 1 1.73444103x10 -15 1.867594294x10 -15 0.697787 x10 -15 0.1 1 1056 x10 -15 3.16747 x10 -27 1.410570499 x10 -26 1.83247179 x10 8 2.037894659 x10 8 2.675153268 x10 8 3.34358348 x10 -27 0.433073489 x10 -26 -1.074553044 x10 -26 5.006412[...]

27 Metric Conversions The calculator has 172 conversion pairs which allows you to convert a number to and from the specified metric units. • Press enter the conversion menu. • There are 8 category pages (distance, area, temperature, capacity , weight, energy , pressure and speed) containing 36 metric symbols, you can press or to change the cate[...]

28 • If the converted result overflows, [ERROR] will be shown in the lower display . Press to select the overflow value; the following scenarios are valid: Scenario A - Keep selecting the other conversion value by pressing or . Scenario B - Clear the screen and jump out of the selection by pressing or . Scenario C - Jump back to the previous calc[...]

29 Angle Unit Conversion The default calculator angle unit setting is “Degree”. Press to enter the setup menu to change the unit to “Radian” or “Gradient”,: MA THEMA TICS MODE: Press the corresponding number key , or for the angle unit you need. Then the display will show the , , Indicator accordingly . Convert an angle unit between “[...]

30 T rigonometry Calculations Before using the trigonometric functions (except hyperbolic calculations), select the appropriate angle unit (Deg/Rad/Gra) by pressing . 90º = Radians = 100 Gradients. Deg Rad Gra Units of 15º Multiples of radians Multiples of grads Degree Mode Sin 60 = =Cosec 45º = sin(60 sin(45) -1 Display Key in operation Example[...]

31 Random Number Generation : Generate a random number between 0.000 and 0.999. The display result will be in fraction format in Maths mode. : Generate a random number between two specified positive integers. The entry is divided by “.” *The value shown here is only a sample, results will differ each time. Generate a random number between 0.000[...]

32 Apps 720 (x + 1) =0 Apps 20 T o calculate Maximum value of 3, sin30 and cos30 T o calculate Minimum value of 3, sin30 and cos30 Max(3, sin(30), C Apps Min(3, sin(30), C Apps Maximum V alue and Minimum V alue Calculation[...]

33 LCM: Calculate the least common multiple among (maximum) three positive integers. GCD: Calculate the greatest common divisor among (maximum) three positive integers. LCM(15, 27, 39) = 1755 LCM(15,27,39 1755 Display Key in operation Example MA THEMA TICS MODE: GCD(12, 24, 60) = 12 GCD(12,24,60 12 Display Key in operation Example LINE MODE: Apps A[...]

34 MA THEMA TICS MODE: Prime Factorization • Factor a positive integer of up to 10 digits into prime factors of up to 3 digits. Ptact Number : 0 < X < 99999 99999 (X is integer) • The reminder that cannot be factored will be enclosed in parentheses on the display . Example: 99999 99999 = 3 2 x 1 1 x 41 x 271 x (9091) Key in Operation Disp[...]

35 “Quotient” (Q) is the result in a division problem, “Remainder” (r) is the value remaining in an integer division problem. The calculated quotient value (Q) and remainder (r) will be stored into memory variables “C” and “D”, automatically assigned. In Maths mode, press or to scroll through a long calculation result. In Line mode,[...]

36 : Convert rectangular coordinates (x, y) to polar coordinates (r , θ); Press for r , or for θ. : Convert polar coordinates (r , θ) to rectangular coordinates (x, y); Press for x, or for y . With rectangular coordinate (x=1, y= √3). Find Polar coordinate (r, θ) at degree mode 1÷200 = 5x 10 -3 1÷200 5 x10 -3 1÷200 5000x 10 -6 1÷200 5x 10[...]

37 Press to enter CPLX mode. Press to select the calculation type. Complex Number T ype Selection There are 6 types of complex number calculations in the Complex Number T ype screen. Press the number to select the type of Complex Number Calculation: Check the current angle unit setting (Deg, Rad, Grad). [ ] indicates the display result is the imagi[...]

38 Absolute value (r) and argument ( ) if complex number is 6+8 Absolute V alue and Argument Calculation With the rectangular form complex number , you can calculate the corresponding absolute value (r) or argument ( ) by pressing or respectively . Conjugate of a Complex Number If the complex number is z = a + bi, the conjugate value of this comple[...]

39 Base-n Calculations and Logical Calculations Press to enter Base-n mode. Decimal (base 10), hexadecimal (base 16), binary (base 2), octal (base 8), or logical calculations. T o select a specific number system in base mode, simply press Decimal [DEC], Hexadecimal [HEX], Binary [BIN] or Octal [OCT]. Press key to perform logical calculations includ[...]

40 Base-n Calculations and Logical Calculations Press to enter Base-n mode. Decimal (base 10), hexadecimal (base 16), binary (base 2), octal (base 8), or logical calculations. T o select a specific number system in base mode, simply press Decimal [DEC], Hexadecimal [HEX], Binary [BIN] or Octal [OCT]. Press key to perform logical calculations includ[...]

41 Statistical Data Input After confirming the calculation type in the Statistical T ype Selection screen or by pressing (Data) in the ST A T mode, the following Statistical Data Input screen will be shown: Editing Statistical Sample Data Replacing the Data in a Cell (1) In the Statistical Data Input screen, move the cursor to the cell you want to [...]

42 Statistical Calculation Screen After inputting the ST A T Data, press to enter the Statistical Calculation screen. Statistical Calculation screen is in Line mode for input & output display Use the Statistical Menu to calculate the Statistical result. (S-SUM, S-V AR, S-PTS, Reg). Statistical Menu In the Statistical Data Input screen or Statis[...]

43[...]

44 33 SD T ype Statistical Calculation Example: T o calculate ∑x 2 , ∑x, n, x, x n , x n-1 , minX, maxX of data: 75, 85, 90, 77, 79 in SD mode (Freq: OFF) Quadratic Regression T ype Statistical Calculation Example: ABC Company investigated the effectiveness of the advertisement expenses in coded units, the following data was obtained: ∑x 2 33[...]

45 34 Please use regression to estimate the effectiveness (estimate the value of y) if the advertisement expenses X=30, also estimate the advertisement expenses level (estimate the value of X 1 , X 2 ) if the effectiveness is y = 50. (Quad) 30y 48.69615715 50x 1 31.30538226 50x 2 -167.1096731 Display Key in operation Distribution Calculations After[...]

46 35 Press to display the distribution calculations screen. Press , , or for the corresponding calculations. 26 t -0.6236095645 P(Ans 0.26644 Example: Calculate the probability distribution P(t) for the sample data: 20, 43, 26, 46, 20, 43, when x = 26. 1: P( 2: Q( 3: R( 4: t P(t): Probability below a given point x Q(t): Probability below a given p[...]

47 36 Equation Calculations Press to enter the equation mode; press / for next / previous pages. Simultaneous Linear Equations Simultaneous Linear Equations with T wo Unknowns: a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Simultaneous Linear Equations with Three Unknowns: a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d [...]

48 37 Example: Solve the simultaneous equation with three unknowns: 2x + 4y – 4z = 20 2x – 2y + 4z = 8 5x – 2y – 2z = 20 (3 unknowns) X= Y= Z= 3 3 4 Display Key in operation 11 2[...]

49 38 Solve Function Y ou can solve custom calculation expressions in COMP mode. Simply input the expression with different variables and press the key . • Solves for X, for example, when an equation is input as: X = Y + 5, X • Solves for Y , for example, when an equation is input as: Y = X + 5, Y Example: A cone with height "h' and a[...]

50 39 LINE MODE: (COMP MODE) (radius is B=5cm) (height is C=2cm) (Calculate with new variables) Solve Function Y ou can solve custom calculation expressions in COMP mode. Simply input the expression with different variables and press the key . • Solves for X, for example, when an equation is input as: X = Y + 5, X • Solves for Y , for example, [...]

51 40 Differential Calculations Press to enter COMP mode. T o perform a differential calculation, you have to input the expression in the form of: differential expression a x • The differential ex pression must contain the variable x. • "a" is the differential coefficient. • " x" is the change interval of x (calculation pr[...]

52 41 Integration Calculations Press to enter COMP mode. T o perform an integration calculation you are required to input the following elements: integration expression a b n • The integration expression has a variable x. • "a" and "b" defines the integration range of the definite integral. • "n" is the number of[...]

53 42 ! Y ou can leave out the x in the differential expression and the calculator will automatically substitute a value for x. ! The smaller the entered value x is, the the longer the calculation time will be with more accurate results, the larger the entered value x is, the shorter the calculation time will be with comparatively less accurate res[...]

54 43 Editing Matrix Data Press (Data), then specify the matrix A, B, C or D for editing and the corresponding matrix element indicator will be displayed. Input the new value and press to confirm the edit. Press to exit the matrix editing screen. Matrix Addition, Subtraction and Multiplication Example: MatA = , MatB = , MatA x MatB=? ! Matrices whi[...]

44 55 Obtain the Determinant of a Matrix Example: Obtain the determinant of Matrix C = <Result: - 471> Example: Multiple Matrix C = by 2 <Result: > 3 -2 -1 5 6 -4 -2 10 10 -5 3 - 4 9 2 1 7 -3 Obtain the Scalar Product of a Matrix Each position in the matrix is multiplied by a single value, resulting in a matrix of the same size. Display[...]

45 56 T ranspose a Matrix Example: T ranspose Matrix B = <Result: > 9 5 6 2 8 4 Identity of Matrix Example: Identity Matrix D 9 6 8 5 2 4 Display Key in operation Display Key in operation 1 0 0 1 Apps Apps Apps Apps[...]

46 57 Invert a Matrix Example: Inverting Matrix C = <Result: > Adjoint of Matrix Example: Adjoint Matrix A < Result: > 8 2 3 6 0.142857142 -0.047619047 -0.071428571 0.19047619 Display Key in operation 2 3 4 5 5 -3 -4 2 Display Key in operation Apps Apps Apps Apps Apps Apps[...]

47 58 Determine the Absolute V alue of a Matrix Example: T o determine the absolute value of the inverted Matrix C in the previous example. Creating a V ector Press to enter V ector mode. Press to use the V ector tool; Display Key in operation Abs Press to exit the matrix creating screen. [1] Dim [2] Data [3] VctA to VctD [4] VctAns [5] Dot Specify[...]

48 59 Editing V ector Elements Press (data), then specify the matrix A, B, C or D for editing, and the corresponding vector element indicator will be displayed. Input the new value and press to confirm the edit. Press to exit the vector editing screen. V ector Addition and Subtraction Example: V ector A = (9,5), V ector B = (7,3), V ector A – V e[...]

49 60 Calculate the Inner Product of T wo V ectors Example: Calculate the inner product of V ector A and V ector B. As V ector A = (4,5,-6) and V ector B = (-7,8,9). Obtain the Scalar Product of a V ector Each position in the vector is multiplied by a single value, resulting in a vector of the same size. s x VctA( a , b ) = VctB(axs, bxs) Example: [...]

50 61 Determine the Absolute V alue of a V ector Example: Determine the absolute value of the V ector C. When Vector C = (4,5,-6) and is already created in the calculator . Calculate the Outer Product of T wo V ectors Example: Calculate the outer product of V ector A and V ector B. As V ector A = (4,5,-6) and V ector B = (-7,8,9). ! An error occurs[...]

51 62 Example : Based on V ector A=(-1, 0, 1) and V ector B=(1, 2, 0), determine the size of the angle (angle unit: Deg) and a unit 1 vector perpendicular to both A and B. cos = , whereas = cos -1 Unit 1 vector perpendicular to both A and B= < Result: =(0.666666666, -0.333333333, 0.666666666) > Display Key in operation Abs Abs Abs Apps Apps A[...]

52 63 Start? Input the lower limit of X (Default =1). End ? Input the upper limit of X (Default = 5). *End value must be greater than the start value. Step? Input the increment step (Default =1). Input f(x) function to generate the function table for x & f(x). Steps to generate a Number T able 1. Press to enter the T able function calculation. [...]

53 64 Replace the battery immediately when the display characters are dim even with a darker LCD display contrast OR when the following message appears on the screen. T urn the calculator off and replace the lithium battery immediately . Please replace the lithium battery with the following procedures, 1. Press to power off the calculator . 2. Remo[...]

54 65 Battery Caution! • Keep the battery out of the reach of children. If the battery is swallowed, contact a doctor immediately . • Misuse of the battery may cause leakage, explosion, damages, or personal injury . • Do not recharge or disassemble the battery , it could cause a short circuit. • Never expose the battery to high temperatures[...]