background image

E-20

Example:

 To add Vector A = (1 – 2 3) to Vector B = (4 5

– 6). (Result: 

(5 3 –3)

)

(3-dimensional Vector A)

A

 

z

 

1

(Dim)

 

1

(A)

 

=

(Element input)

=

 

D

 2 

=

 

=

 

t

(3-dimensional Vector B)

A

 

z

 

1

(Dim)

 

2

(B)

 

=

(Element input)

=

 

=

 

D

 6 

=

 

t

(VctA + VctB)

A

 

z

 

3

(Vct)

 

1

(A)

 

+

A

 

z

 

3

(Vct)

 

2

(B)

 

=

• An error occurs in the above procedure if you specify

vectors of different dimensions.

k

Calculating the Scalar Product of
a Vector

Use the procedure shown below to obtain the scalar
product (fixed multiple) of a vector.

Example:

 To multiply Vector C = (–7. 8  9) by 5.

(Result:

 (–39 45)

)

(2-dimensional Vector C)

A

 

z

 

1

(Dim)

 

3

(C)

 

=

(Element input)

D

 7 

l

 8 

=

 

=

 

t

(5

VctC)

-

 

A

 

z

 

3

(Vct)

 

3

(C)

 

=

k

Calculating the Inner Product of
Two Vectors

Use the procedure described below to obtain the inner
product (

) for two vectors.

Example:

 To calculate the inner product of Vector A and

Vector B

(Result:

 – 24 

)

(VctA

VctB)

A

 

z

 

3

(Vct)

 

1

(A)

A

 

z

 

r

 

1

(Dot)

A

 

z

 

3

(Vct)

 

2

(B)

 

=

• An error occurs in the above procedure if you specify

vectors of different dimensions.

Summary of Contents for fx-570MS

Page 1: ...fx 570MS fx 991MS CA 310030 001V08 User s Guide 2 Additional Functions http world casio com edu_e E ...

Page 2: ...CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K Please keep your manual and all information handy for future reference Important ...

Page 3: ...r Form Polar Form Display 9 kConjugate of a Complex Number 10 Base n Calculations 10 Statistical Calculations 12 Normal Distribution 12 Differential Calculations 13 Integration Calculations 14 Matrix Calculations 15 kCreating a Matrix 15 kEditing the Elements of a Matrix 16 kMatrix Addition Subtraction and Multiplication 16 kCalculating the Scalar Product of a Matrix 16 kObtaining the Determinant ...

Page 4: ...alue of a Vector 21 Metric Conversions 22 Scientific Constants 23 Power Supply 25 Specifications 27 See the fx 95MS fx 100MS fx 115MS fx 570MS fx 991MS User s Guide for details about the following items Removing and Replacing the Calculator s Cover Safety Precautions Handling Precautions Two line Display Before getting started except for Modes Basic Calculations Memory Calculations Scientific Func...

Page 5: ...scribed is indicated in the main title of each section Example To perform this type of Perform this To enter calculation key operation this mode Basic arithmetic F 1 COMP calculations Complex number F 2 CMPLX calculations Standard deviation F F 1 SD Regression calculations F F 2 REG Base n calculations F F 3 BASE Solution of equations F F F 1 EQN Matrix calculations F F F 2 MAT Vector calculations...

Page 6: ...calculation mode SD REG COMP CMPLX and angle unit setting Deg Rad Gra before beginning a calculation Mathematical Expression Calculations and Editing Functions Use the F key to enter the COMP Mode when you want to perform mathematical expression calculations or edit expressions COMP F 1 k Replay Copy Replay copy lets you recall multiple expressions from replay so they are connected as a multi stat...

Page 7: ...P Mode and CMPLX Mode only The variable input screen shows the values currently assigned to the variables Example Calculate the result for Y X2 3X 12 when X 7 Result 58 and when X 8 Result 76 Input the function p y p u p x K 3 p x 12 Store the expression C Input 7 for X prompt 7 Input 8 for X prompt C 8 Note that the expression you store is cleared whenever you start another operation change to an...

Page 8: ...iosyncrasies of Newton s method solu tions for the following types of functions tend to be diffi cult to calculate Periodic functions i e y sin x Functions whose graph produce sharp slopes i e y ex y 1 x Discontinuous functions i e y x If an expression does not include an equals sign the SOLVE function produces a solution for expression 0 Scientific Function Calculations Use the F key to enter the...

Page 9: ...ering symbols off no Eng indicator The following are the nine symbols that can be used when engineering symbols are turned on To turn engineering symbols on and off press the F key a number of times until you reach the setup screen shown below For displayed values the calculator selects the engineer ing symbol that makes the numeric part of the value fall within the range of 1 to 1000 Engineering ...

Page 10: ...X Mode Variables D E F X and Y are used by the calculator which frequently changes their values You should not use these variables in your expressions The indicator R I in the upper right corner of a calculation result display indicates a complex number result Press A r to toggle the display between the real part and imaginary part of the result You can use the replay function in the CMPLX Mode Si...

Page 11: ...nt of 3 4i Angle unit Deg r 5 53 13010235 r 5 A A R 3 4 i T 53 13010235 A a R 3 4 i T The complex number can also be input using the polar form r Example 2 2 45 1 i Angle unit Deg L 2 A Q 45 A r k Rectangular Form Polar Form Display You can use the operation described below to convert a rectangular form complex number to its polar form and a polar form complex number to its rectangular form Press ...

Page 12: ... you want to perform calculations using Base n values BASE F F 3 In addition to decimal values calculations can be performed using binary octal and hexadecimal values You can specify the default number system to be applied to all input and displayed values and the number system for individual values as you input them You cannot use scientific functions in binary octal decimal and hexadecimal calcu...

Page 13: ...7777 0 x 3777777777 Decimal 2147483648 x 2147483647 Hexadecimal 80000000 x FFFFFFFF 0 x 7FFFFFFF Example 1 To perform the following calculation and produce a binary result 101112 110102 1100012 Binary mode t b 0 b 10111 11010 Example 2 To perform the following calculation and produce an octal result 76548 1210 5168 Octal mode t o 0 o l l l 4 o 7654 l l l 1 d 12 Example 3 To perform the following c...

Page 14: ... a M t h ERROR b You may not be able to convert a value from a number system whose calculation range is greater than the cal culation range of the resulting number system The message Math ERROR indicates that the result has too many digits overflow Statistical Calculations Normal Distribution Use the F key to enter the SD Mode when you want to perform a calculation involving normal distribution SD...

Page 15: ...ed and the change in x x A J expression P a P x T Example To determine the derivative at point x 2 for the function y 3x2 5x 2 when the increase or de crease in x is x 2 10 4 Result 7 A J 3 p x K 5 p x 2 P 2 P 2 e D 4 T Input a value from 1 to 4 to select the probability distribution calculation you want to perform P t R t Q t Example To determine the normalized variate t for x 53 and normal proba...

Page 16: ...uired for integration calculations a function with the variable x a and b which define the integration range of the definite integral and n which is the number of partitions equivalent to N 2n for integration using Simpson s rule d expression P a P b P n F Note You can specify an integer in the range of 1 to 9 as the number of partitions or you can skip input of the number of partitions entirely i...

Page 17: ...y transpose and invert matrices and how to obtain the scalar product determinant and absolute value of a matrix Use the F key to enter the MAT Mode when you want to perform matrix calculations MAT F F F 2 Note that you must create one or more matrices before you can perform matrix calculations You can have up to three matrices named A B and C in memory at one time The results of matrix calculation...

Page 18: ... 3 2 Element input 1 2 4 0 D 2 5 t Matrix B 2 3 A j 1 Dim 2 B 2 3 Element input D 1 0 3 2 D 4 1 t MatA MatB A j 3 Mat 1 A A j 3 Mat 2 B An error occurs if you try to add subtract matrices whose dimensions are different from each other or multiply a matrix whose number of columns is different from that of the matrix by which you are multiplying it k Calculating the Scalar Product of a Matrix Use th...

Page 19: ...ix A Result 73 Matrix A 3 3 A j 1 Dim 1 A 3 3 Element input 2 D 1 6 5 0 1 3 2 4 t DetMatA A j r 1 Det A j 3 Mat 1 A The above procedure results in an error if a non square matrix is specified k Transposing a Matrix Use the procedure described below when you want to transpose a matrix Example To transpose Matrix B Matrix B 2 3 A j 1 Dim 2 B 2 3 Element input 5 7 4 8 9 3 t TrnMatB A j r 2 Trn A j 3 ...

Page 20: ...ute Value of a Matrix You can use the procedure described below to determine the absolute value of a matrix Example To determine the absolute value of the matrix produced by the inversion in the previous example AbsMatAns A A A j 3 Mat 4 Ans Vector Calculations The procedures in this section describe how to create a vector with a dimension up to three and how to add sub tract and multiply vectors ...

Page 21: ...y a vec tor name A B or C and then specify the dimensions of the vector Next follow the prompts that appear input val ues that make up the elements of the vector 0 Vc tA1 Vector name Dimensions of vector Element value Arrow indicates direction you should scroll to view other elements You can use the e and r keys to move about the vec tor in order to view or edit its elements To exit the vector scr...

Page 22: ... Use the procedure shown below to obtain the scalar product fixed multiple of a vector Example To multiply Vector C 7 8 9 by 5 Result 39 45 2 dimensional Vector C A z 1 Dim 3 C 2 Element input D 7 l 8 9 t 5 VctC 5 A z 3 Vct 3 C k Calculating the Inner Product of TwoVectors Use the procedure described below to obtain the inner product for two vectors Example To calculate the inner product of Vector...

Page 23: ...dure shown below to obtain the absolute value size of a vector Example To determine the absolute value of Vector C Result 11 90965994 AbsVctC A A A z 3 Vct 3 C Example To determine the size of the angle angle unit Deg formed by vectors A 1 0 1 and B 1 2 0 and the size 1 vector perpendicular to both A and B Result 108 4349488 cos which becomes cos 1 Size 1 vector perpendicular to both A and B 3 dim...

Page 24: ...ey to enter the COMP Mode when you want to perform metric conversions COMP F 1 A total of 20 different conversion pairs are built in to provide quick and easy conversion to and from metric units See the Conversion Pair Table for a complete list of available conversion pairs When inputting a negative value enclose it within pa rentheses R T Example To convert 31 degrees Celsius to Fahrenheit R D 31...

Page 25: ...ever you need them in cm 01 cm in 02 ft m 03 m ft 04 yd m 05 m yd 06 mile km 07 km mile 08 n mile m 09 m n mile 10 acre m2 11 m2 acre 12 gal US r r r r r 13 r r r r r gal US 14 gal UK r r r r r 15 r r r r r gal UK 16 pc km 17 km pc 18 km h m s 19 m s km h 20 oz g 21 g oz 22 lb kg 23 kg lb 24 atm Pa 25 Pa atm 26 mmHg Pa 27 Pa mmHg 28 hp kW 29 kW hp 30 kgf cm2 Pa 31 Pa kgf cm2 32 kgf m J 33 J kgf m ...

Page 26: ... select this constant Input this scientific constant number proton mass mp 01 neutron mass mn 02 electron mass me 03 muon mass mµ 04 Bohr radius a0 05 Planck constant h 06 nuclear magneton µN 07 Bohr magneton µB 08 Planck constant rationalized 09 fine structure constant α 10 classical electron radius re 11 Compton wavelength λc 12 proton gyromagnetic ratio γp 13 proton Compton wavelength λcp 14 ne...

Page 27: ... Power Supply The type of battery you should use depends on the model number of your calculator fx 991MS The TWO WAY POWER system actually has two power supplies a solar cell and a G13 Type LR44 button battery Normally calculators equipped with a solar cell alone can operate only when relatively bright light is present The TWO WAY POWER system however lets you continue to use the calculator as lon...

Page 28: ...s powered by single G13 Type LR44 button battery Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low Continued use of the calculator when the battery is low can result in improper operation Replace the battery as soon as possible when display figures become dim To replace the battery 1 Press A i to turn off power 2 Remove the screw that holds the b...

Page 29: ...ower Supply fx 570MS Single G13 Type button battery LR44 fx 991MS Solar cell and a single G13 Type button battery LR44 Battery Life fx 570MS Approximately 9 000 hours continuous display of flashing cursor Approximately 3 years when left with power turned off fx 991MS Approximately 3 years 1 hour use per day Dimensions 12 7 H 78 W 154 5 D mm 1 2 H 31 16 W 61 16 D Weight 105 g 3 7 oz including batte...

Page 30: ...SA0403 F Printed in China CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan ...

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