LEXIBOOK GC1000i Скачать руководство пользователя страница 26

2.3.5 Coordinate transformation

Your calculator lets you convert between rectangular coordinates and polar coordinates.

Rectangular coordinates                 Polar coordinates

Y

Y

Calculation results are stored in variable memory I and variable memory J. Contents of
variable memory I are displayed first. To display contents of memory J, press

.

I

J

Pol

r

θ

Rec

x

y

With polar coordinates, 

θ

can be calculated within a range of –180° < 

θ 

< 180°. The calculation range

is the same for radians and grads.

The operations noted below cannot be performed in the BASE-N mode.

- 26 -

Copyright L

EXIBOOK

2002

GB

Key Operation

3.6

1.23

2.5

1.5

1.5

(suite) 

30

20         15

0.88          4

2

1.5 

2

3          

4 5 

 

(

(

)

)

+

Example

sh 3.6 =

ch 1.23 =

th 2.5 =

ch1.5 –sh1.5 
= ?
=e

-1.5

Argsh30 =

Argch(20/15) =

(Argth0.88)/4 =

Argsh2xArgch1.5 =

Argsh(2/3)+Argth(4/5)

=

Display

18.28545536

1.856761057

0.986614298

0.22313016

-1.5

4.094622224

0.795365461

0.343941914

1.389388923

1.723757406

Remark

chx + shx = e

+x

EXE

EXE

EXE

EXE

SHIFT

hyp

sin

hyp

sin

-1

EXE

EXE

cos

-1

SHIFT

hyp

cos

-1

EXE

hyp

sin

Ans

EXE

in

EXE

hyp

tan

EXE

hyp

cos

hyp

cos

2.3.4 Hyperbolic functions and inverse hyperbolic functions

The operations noted below cannot be performed in the BASE-N mode.

-

x

÷

SHIFT

hyp

tan

-1

SHIFT

hyp

SHIFT

hyp

tan

-1

SHIFT

hyp

sin

-1

SHIFT

hyp

tan

-1

÷

÷

÷

(

)

EXE

J

ALPHA

y

P(x,y)

P(r,

θ

)

Содержание GC1000i

Страница 1: ...GB INSTRUCTION MANUAL GRAPHIC CALCULATOR GC500i GC1000i...

Страница 2: ...GB Copyright LEXIBOOK 2002...

Страница 3: ...S 37 3 1 BUILT IN FUNCTION GRAPHS 37 3 2 USER GENERATEDE GRAPHS 38 3 3 SOME GRAPHING EXAMPLES 47 4 PROGRAM CALCULATIONS 47 4 1 WHAT IS A PROGRAM 47 4 2 PROGRAM CHECKING AND EDITING Correction Addition...

Страница 4: ...up to slip right into you pocket To use the GC500 GC1000 to its full potential be sure to carefully read this manual and keep it handy for future reference IMPORTANT RESET YOUR CALCULATOR BEFORE USING...

Страница 5: ...not store the calculator or leave it in areas exposed to high temperatures or humidity or large amounts of dust When exposed to low temperatures the calculator may require more time to display results...

Страница 6: ...ss and then key Green Press key in BASE N mode In red brackets Press key in SD or LR mode In addition to the above there are a number of key sequences indicated on the panel beneath the display such a...

Страница 7: ...ection of these modes can be carried out by pressing when no specification has been made for the number of decimal places or significant digits The present status is not displayed so it is necessary t...

Страница 8: ...mode and the unit of angular measurement For manual calculations and program execution RUN mode WRT displayed For writing or checking programs PCL displayed For clearing programs D displayed if is pr...

Страница 9: ...betic characters or special characters Pressing displays A and allows the input of only one character After that the unit returns to the status it was in before the key was originally pressed Pressing...

Страница 10: ...r Minus key Pressing followed by will recall the last calculation result It can be recalled by even after it has been cleared using the key or by switching the power off When used during program execu...

Страница 11: ...y the x or y coordinate value Press following to plot a point on the graph screen To indicate data input within a programmed calculation or repeat calculation press and then Cls Graph Text Clear scree...

Страница 12: ...Exponential key Oct o f Press prior to entering a value and press to obtain the natural logarithm of that value When pressed following the key the subsequently entered value becomes an exponent of e P...

Страница 13: ...nter x any number press this key and then enter y any number to compute x to the power of y In the SD or LR mode this function is only available after pressing the key Press following the key to obtai...

Страница 14: ...ional operators When functions with the same priority are used in series execution is performed from right to left ex ln 120 exp ln 120 Otherwise execution is from left to right Compound functions are...

Страница 15: ...nput output range number of digits of this unit is 10 digits for a mantissa and 2 digits for an exponent Calculation however are internally performed with a range of 12 digits for mantissa and 2 digit...

Страница 16: ...be displayed for the operations noted above 1 3 Ma ERROR 4 Stk ERROR 5 Mem ERROR 6 Syn ERROR 7 Arg ERROR Besides these there are an Ne ERROR nesting error and a Go ERROR These errors mainly occur whe...

Страница 17: ...To clear the contents of all the memory To store the same numeric value to multiple memories press followed by Example to store a value of 10 in memories A through J 10 1 4 10Memory expansion Though...

Страница 18: ...ansion an error will be generated The size of the memory expansion must be equal to or less than the number of steps remaining The expansion procedure expansion value can also be stored as program Usi...

Страница 19: ...etween the and in this example Internal calculations are calculated with 12 digits for a mantissa and the result is displayed rounded off to 10 digits Internally however the mantissa of the result is...

Страница 20: ...ew value Multiplication signs x immediately before memory names can be omitted 2 1 3 Memory calculations The contents of memories are not erased when power is off They are cleared by pressing followed...

Страница 21: ...first exit the BASE N mode MODE 9 MODE 9 MODE 9 EXE EXE Rnd SHIFT Example 100 6 200 7 x14 123m x 456 m km 78g x 0 96 g kg Key Operation 100 6 4 5 3 200 7 14 200 7 14 123 456 78 0 96 Display 16 666666...

Страница 22: ...Ans appears on the display along with the answer function value The value can be used in subsequent calculations Since the Ans function works just like any other memory it will be referred to as Ans m...

Страница 23: ...beginning 2 2 5 Multi statement function The multi statement function available in program calculations can also be used in manual calculations With the multi statement function multiple statements a...

Страница 24: ...2 Remark SHIFT EXE 4 MODE EXE 5 MODE EXE 6 MODE EXE 5 MODE SHIFT EXE 6 MODE SHIFT EXE 4 MODE EXE 4 EXE 4 MODE EXE 5 MODE EXE 5 MODE EXE 6 MODE SHIFT EXE 5 MODE SHIFT EXE 6 MODE SHIFT 5 MODE SHIFT SHIF...

Страница 25: ...E 5 MODE EXE 4 MODE EXE EXE EXE EXE SHIFT sin 1 cos 1 SHIFT sin 1 SHIFT tan 1 SHIFT EXE SHIFT SHIFT cos 1 SHIFT x SHIFT Example Log 1 23 log101 23 ln90 loge90 Log456 ln456 4x 64 x log 4 log 64 x log 6...

Страница 26: ...e BASE N mode 26 Copyright LEXIBOOK 2002 GB Key Operation 3 6 1 23 2 5 1 5 1 5 suite 30 20 15 0 88 4 2 1 5 2 3 4 5 Example sh 3 6 ch 1 23 th 2 5 ch1 5 sh1 5 e 1 5 Argsh30 Argch 20 15 Argth0 88 4 Argsh...

Страница 27: ...ormed in the BASE N mode Key Operation 2 5 2 3 4 5 3 4 8 36 42 49 13 5 3 4 1 40 cont 2 4 6 8 3 4 7800 96 7800 96 2512549139 2141 2512549139 2141 Example 2 5 22 32 42 52 1 1 3 1 4 8 1x2x3x x8 3 36x42x4...

Страница 28: ...4 Example 2 5 3 1 4 fractions decimal 3 456 78 8 11 13 Reduced 1 2578 1 4572 1 2 x 0 5 1 3 x 4 5 5 6 1 2x1 3 1 4x1 5 1 2 3 1 6 1 1 3 1 4 Display 3 13 20 3 65 8 11 13 115 13 04 6 066202547 NORM1 mode 0...

Страница 29: ...imal are expressed as two s complements To distinguish the A B C D E and F used in the hexadecimal system from standard letters they appear as shown in the chart below Key Display A IB IC ID IE IF Cal...

Страница 30: ...N b b 100100 b 111110111 Remark MODE EXE SHIFT h EXE SHIFT d EXE SHIFT b EXE o SHIFT Dec EXE Hex EXE EXE SHIFT h EXE SHIFT b Oct EXE EXE SHIFT d EXE SHIFT h Bin EXE 2 4 1 Binary octal decimal hexadec...

Страница 31: ...o 2352 d 1258 Remark MODE EXE Bin EXE EXE Dec SHIFT o x EXE EXE Hex EXE Dec SHIFT h EXE EXE Oct SHIFT o EXE SHIFT SHIFT d h 2 4 3 Basic arithmetic operations using binary octal decimal and hexadecima...

Страница 32: ...by pressing followed by the memory name and then i e 32 Copyright LEXIBOOK 2002 GB 120 1101 1010 A 7 5 3 2A 5D 1234 2FFFED Hex EXE Hex EXE EXE EXE Bin or SHIFT b and SHIFT h or EXE Not EXE Not EXE Sc...

Страница 33: ...he number of times the data is repeated and then Key Operation Clears memory 55 54 51 55 53 54 52 cont 55 54 51 110 10 130 31 150 24 170 190 Copyright LEXIBOOK 2002 33 GB Example Data 55 54 51 55 53 5...

Страница 34: ...e regression formula can be calculated using the following formulas y A B x x To obtain the estimated value y is used and to obtain estimated value x is used The correlation coefficient r for input da...

Страница 35: ...lue x y is used Furthermore x x2 and xy are obtained by lnx lnx 2 and lnx y respectively Key Operation 29 1 6 50 23 5 74 38 0 103 46 4 118 48 9 80 73 35 18 1000 1 The data in the above can be used to...

Страница 36: ...as the logarithm of y ln and the x data the same as that for linear regression Estimated values x and y based on the regression formula can be calculated using the following for mulas y A eBx x Corre...

Страница 37: ...tion Some graphs can be produced in the SD and LR modes but certain graphs cannot be produced in these modes The BASE N graphs making it possible to produce the graphs of basic functions sin cos tan a...

Страница 38: ...is as well as their scales distance between hash marks Before drawing a graph you should first specify range parameters to set the size of the graph Range parameter types Range parameters consist of t...

Страница 39: ...lace in the calculation that caused the error Replay function and make the necessary corrections Inputting 0 for Xscl or Yscl does not set any scale Inputting a maximum value that is less than the min...

Страница 40: ...rmula after pressing the key 2 3 4 The result produces a visual representation of the formula 3 2 3 Function graph overdraw Two or more function graphs can be overdrawn which makes it easy to determin...

Страница 41: ...ver you try to change the factor value while a graph is displayed the display changes to the text screen automatically To return to the graph screen after changing the factor value press or or Press t...

Страница 42: ...s you specified Let s take another look at the range parameters Xmin 540 Ymin 3 2 Xmax 540 Ymax 3 2 Xscl 180 Yscl 1 If you press again the graph is reduced once more by the factors you specified To re...

Страница 43: ...press to display x coordinate value Press to change the coordinate display to show the y coordinate Now use the Zoom function to enlarge the graph First specify a factor of 2 on the x and y axes 2 Whe...

Страница 44: ...lue remains on the display After the Trace function is executed and the text display is brought up using the key pressing causes the next graph to appear and the coordinate value to clear Examine the...

Страница 45: ...w pointer to blink without clearing the present pointer 2 6 5 If x y coordinates are not specified for the Plot function the pointer appears at the center of the screen Set the following range values...

Страница 46: ...ing the Line function Next a perpendicular will be drawn from the same point on the graph to the y axis First plot the point on the graph and use the cursor key to move the pointer to the y axis This...

Страница 47: ...alculations The program feature is used for the conse cutive execution of formulas in the same way as the multi statement feature is used in manual calculations Programs will be discussed here with th...

Страница 48: ...ram execution to stop temporarily and the latest formula result or alphanumeric characters and symbols to be displayed This command is used to mark positions in formulas where results are to be displa...

Страница 49: ...ecuted The surface S and volume V for the regular octahedron in the sample problem are calculated Copyright LEXIBOOK 2002 49 GB A ALPHA x ALPHA WRT _ _ WRT 011 A 2x 3xA2 _ WRT 012 A 2x 3xA2 EXE x xy A...

Страница 50: ...cation When the program has been improperly stored editing can also be performed by adding to it or erasing portions Here a new program will be created by checking and editing the previous sample prog...

Страница 51: ...HA ALPHA x x2 ALPHA ALPHA A x ALPHA A xy A ALPHA ALPHA 2 MODE 1 MODE WRT 380 P_123456789 WRT 000 _A 2x 3xA2 EXE EXE EXE WRT 004 A 3xA2 2 WRT 015 3xA2 2 123 WRT 015 3xA2 2 12x _ Cursor located at begin...

Страница 52: ...he calculation result of a numeric expression exceeds 10100 an illogical operation e g division by zero or the input of an argument that exceeds the input range of the function 3 Go ERROR Jump error I...

Страница 53: ...the formula should be divided into two or more parts 6 Mem ERROR Check to see that memories were properly expanded using n Defm When using array type memories check to see that the subscripts are corr...

Страница 54: ...iation calculations and regression calculations in a program a calculation mode must be specified Program mode specification and program area specification are performed at the same time First the WRT...

Страница 55: ...is performed in the PCL mode Press to specify the PCL mode There are two methods used to erase programs erasing a program located in a single program area and erasing all programs 4 6 1 Erasing a sing...

Страница 56: ...is number from 0 through 9 execution then jumps to Lbl n n is the same value as Goto n The unconditional jump is often used in simple programs to return execution to the beginning for repetitive calc...

Страница 57: ...n t equal right side Left side right side left side is greater than or equal right side Left side right side left side is less than or equal right side Left side right side left side is greater than r...

Страница 58: ...by 1 and decide the subsequent execution while the Dsz command is used to decrease the value by 1 and decide Example Increase memory A by one Isz A Decrease memory B by one Dsz B Program 1 0 A 0 C Lbl...

Страница 59: ...for call up as required Example Determine the altitude at one second intervals of a ball thrown into the air at an initial velocity of V m sec and an angle of S The formula is expressed as h Vsin t 1...

Страница 60: ...am Regular octahedron P0 Fix 3 A 2 x 3 x A x2 2 3 x A xy 3 23 steps Regular tetrahedron P1 Fix 3 A 3 x A x2 2 1 2 x A xy 3 22 steps Total 45 steps If the two programs are compared it is evident that t...

Страница 61: ...e memories used have been referred to by single alphabetic characters such as A B X or Y With the array type memory introduced here a memory here a memory name one alphabetic character from A through...

Страница 62: ...ap of memories The relation is as follows A 0 A 1 A 2 A 3 A 4 A 5 A 6 B 1 B 0 B 1 B 2 B 3 B 4 B 5 C 2 C 1 C 0 C 1 C 2 C 3 C 4 G 6 G 5 G 4 G 3 G 2 G 1 G 0 A 23 A 24 A 25 A 26 A 27 B 22 B 23 B 24 B 25 B...

Страница 63: ...the x data The x data are stored in memories C 1 memory D through C 15 memory R and the y data are stored in memories C 16 memory S through C 30 memory Z 7 1 A Defm 7 Lbl 1 C A C A 1 5 Isz A A 1 6 Got...

Страница 64: ...f space A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Other numbers symbols calculation commands program command 0 1 2 3 4 5 6 7 8 9 E x sin cos tan log ln A B C D E F d h b o Neg Not and or xo...

Страница 65: ...l graph commands except the Trace function can be included in programs Range values can also be written into the program Generally manual graph operations can be used in programs without modification...

Страница 66: ...ecimal conversions and calculations logical operations Standard deviation calculations 1 variable statistical Regression calculations paired variable statistical For production of single variable stat...

Страница 67: ...Sum x x Sum of squares x2 x2 Mean x x Population standard deviation x n Sample standard deviation x n 1 x data y data frequency Frequency can be omitted x data y data frequency Frequency can be omitte...

Страница 68: ...to that point is display The number of memories can be expanded from the standard Memories can be expanded in units of one up to for a total of 76 Eight steps are required for one memory number of me...

Страница 69: ...mode Cursor is moved to the desired program area name P0 through P9 using and and is pressed Cursor is moved to position to be edited using or Press correct key for corrections Press for deletions Pr...

Страница 70: ...is performed to the statement following the next or Increase When 0 Isz When 0 Decrease When 0 Dsz When 0 Statement Value in memory A display of Prog n n 0 to 9 will appear when a sub program is execu...

Страница 71: ...ermeasure 1 Use or to display the point where the error was generated and correct it 2 Use or to display the point where the error was generated press AC and then correct the program in the WRT mode 1...

Страница 72: ...0 x 1x10100 x 1 x1050 x 1x10100 x 0 x 1x10100 0 x 69 x est entier x2 y2 1x10100 0 r 1x10100 Deg 9x109 Rad 5x107 rad Gra 1x1010 grad a b c 1x10100 0 b c x 2 777777777x1096 Hexadecimal display x 277777...

Страница 73: ...s a fraction for integer when integer numerator and denominator are less than 1x1010 x 1x1050 y 1x1050 n 1x10100 x n y n x y A B r n 0 x n 1 y n 1 n 0 1 Internal digits 12 digits Accuracy As a rules a...

Страница 74: ...tion number of data sum sum of squares mean standard deviation two types Linear regression number of data sum of x sum of y sum of squares of x sum of squares of y mean of x mean of y standard deviati...

Страница 75: ...l retailer with your proof of purchase Our war ranty covers all manufacturer defaults but does not cover deterioration due to non respect of the Instruction Manual or bad handling of the product like...

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