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50g Graphing Calculator
Uživatelský manuál
Hp 50g Graphing Calculator Uživatelský manuál Strana 382
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887
Tabulka s obsahem
KNIHY
Hodnocené
.
/ 5. Na základě
hodnocení zákazníků
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Pa
g
e
1
1
-
5
5
Infor
mation on the func
tions list
ed in this menu is pr
esented belo
w by using the
calc
ulator’s o
w
n help fac
ility
. The f
igure
s show the help f
acility entry and the
attached e
xamples
.
Function IMAGE
Function ISOM
1
2
...
377
378
379
380
381
382
383
384
385
386
387
...
886
887
HPg graphing calculator
1
Printing History
2
Table of contents
5
Page TOC-2
6
Page TOC-3
7
Page TOC-4
8
Page TOC-5
9
Page TOC-6
10
Page TOC-7
11
Chapter 9 - Vectors ,9-1
12
Page TOC-9
13
Page TOC-10
14
Page TOC-11
15
Chapter 12 - Graphics ,12-1
16
Page TOC-13
17
Page TOC-14
18
Page TOC-15
19
Page TOC-16
20
Page TOC-17
21
Page TOC-18
22
Page TOC-19
23
Page TOC-20
24
Page TOC-21
25
Page TOC-22
26
Page TOC-23
27
Appendices
28
Service! ,LW-2
29
Regulatory information ,LW-4
29
Union ,LW-6
29
Chapter 1
30
Getting started
30
Page 1-2
31
Page 1-3
32
SOFT menus vs. CHOOSE boxes
33
Page 1-5
34
Page 1-6
35
The TOOL menu
36
Setting time and date
36
Page 1-8
37
Page 1-9
38
Page 1-10
39
Page 1-11
40
Selecting calculator modes
41
Page 1-13
42
Page 1-14
43
Page 1-15
44
Page 1-17
46
Page 1-18
47
Page 1-19
48
Page 1-20
49
Page 1-21
50
Page 1-22
51
Angle Measure
52
)cos( yxrrx +=⋅=
53
Page 1-25
54
Selecting CAS settings
55
Selecting Display modes
56
Page 1-28
57
Page 1-29
58
Selecting the clock display
59
Page 1-31
60
Chapter 2
61
Introducing the calculator
61
Page 2-2
62
Mean: 23.2, the word Mean:
63
√3.-2.^3)
64
√3. Next, we switch
65
Page 2-6
66
Page 2-7
67
Editing algebraic expressions
68
Page 2-9
69
Page 2-10
70
Page 2-11
71
Page 2-12
72
Page 2-13
73
Page 2-14
74
Page 2-15
75
Page 2-16
76
Page 2-17
77
Page 2-19
79
Page 2-20
80
Page 2-22
82
Page 2-23
83
Page 2-24
84
Page 2-25
85
Page 2-26
86
Page 2-27
87
Page 2-28
88
Summations
89
Page 2-30
90
+⋅=+⋅−⋅ ttt
91
)sin( dttt
92
)cos()sin()sin(
93
Page 2-34
94
The CASDIR sub-directory
95
Page 2-36
96
Page 2-37
97
Page 2-38
98
Creating subdirectories
99
Page 2-40
100
• Through the catalog key
101
Page 2-42
102
Moving among subdirectories
103
Deleting subdirectories
103
Page 2-45
105
Page 2-46
106
Variables
107
Name Contents Type
108
Page 2-49
109
Page 2-50
110
• RPN mode
111
Checking variables contents
112
Page 2-53
113
Page 2-54
114
Page 2-55
115
Copying variables
116
Page 2-57
117
Page 2-58
118
Page 2-59
119
Page 2-60
120
Deleting variables
121
UNDO and CMD functions
122
Page 2-63
123
Page 2-64
124
Page 2-65
125
Other flags of interest
126
CHOOSE boxes vs. Soft MENU
127
Page 2-68
128
Selected CHOOSE boxes
129
Page 2-70
130
Chapter 3
131
Calculation with real numbers
131
Checking calculator mode
132
Real number calculations
132
The inverse function
133
Using parentheses
134
In ALG mode:
134
Absolute value function
134
Squares and square roots
135
Powers and roots
135
Trigonometric functions
136
√, ^, XROOT, LOG
137
Page 3-8
138
Page 3-9
139
Page 3-10
140
Real number functions
141
Page 3-12
142
Page 3-13
143
Special functions
144
)](ln[)( xx Γ=
145
Calculator constants
146
Operations with units
147
Page 3-18
148
Available units
149
Page 3-20
150
Page 3-21
151
Converting to base units
152
Attaching units to numbers
153
Page 3-24
154
Page 3-26
156
Units manipulation tools
157
Page 3-28
158
Page 3-29
159
Page 3-30
160
Page 3-31
161
Special physical functions
162
Function F0λ
163
Function SIDENS
163
Function TDELTA
163
Defining and using functions
164
Page 3-35
165
The IFTE function
166
Page 3-37
167
Chapter 4
168
Entering complex numbers
169
∠θ). The angle symbol
170
The CMPLX menus
172
Page 4-6
173
CMPLX menu in keyboard
174
Page 4-8
175
Functions from the MTH menu
176
Page 4-10
177
Chapter 5
178
Page 5-2
179
Functions in the ALG menu
180
Page 5-4
181
Page 5-5
182
Page 5-6
183
Page 5-7
184
Page 5-8
185
Page 5-9
186
INTEGER menu
187
POLYNOMIAL menu
187
MODULO menu
188
Modular arithmetic
189
Page 5-13
190
Page 5-14
191
POWMOD examples
192
Page 5-16
193
Polynomials
194
The CHINREM function
194
Page 5-20
197
The PCOEF function
198
The PROOT function
198
The PTAYL function
198
The PEVAL function
199
The TCHEBYCHEFF function
199
Fractions
200
The FCOEF function
201
The FROOTS function
201
Page 5-25
202
UNITS convert menu (Option 1)
203
BASE convert menu (Option 2)
204
Page 5-28
205
LIN LNCOLLECT
206
206
POWEREXPAND SIMPLIFY
206
Chapter 6
207
Solution to single equations
207
Function SOLVE
208
Function SOLVEVX
209
Function ZEROS
210
Numerical solver menu
211
Polynomial Equations
212
Page 6-7
213
Page 6-8
214
X^4+-3*X^3+
215
3*X^2+11*X+-6*X^0'
215
End is highlighted
216
Page 6-11
217
Page 6-13
219
Page 6-14
220
Page 6-15
221
ΔT = 60
222
Page 6-17
223
Page 6-18
224
Page 6-19
225
Page 6-20
226
Page 6-21
227
Page 6-22
228
Page 6-24
230
Page 6-25
231
The SOLVE soft menu
232
Page 6-27
233
Page 6-28
234
The DIFFE sub-menu
235
The POLY sub-menu
235
The SYS sub-menu
236
The TVM sub-menu
236
Page 6-31
237
Chapter 7
238
Solving multiple equations
238
{ ‘t = (x-x0)/(COS(θ0)*v0)’
239
Page 7-4
241
Page 7-5
242
12 mybP ++=
243
Page 7-8
245
Page 7-9
246
)()()( csbsassA −⋅−⋅−⋅=
247
Page 7-11
248
Page 7-12
249
Page 7-13
250
Page 7-14
251
53.1301023541
252
Page 7-16
253
Page 7-17
254
Page 7-18
255
Page 7-19
256
Page 7-20
257
Chapter 8
258
Operations with lists
258
Page 8-2
259
Changing sign
260
Page 8-4
261
Page 8-5
262
Page 8-6
263
Lists of complex numbers
264
Lists of algebraic objects
265
The MTH/LIST menu
265
Page 8-9
266
List size
267
Element position in the list
268
HEAD and TAIL functions
268
The SEQ function
268
The MAP function
269
Page 8-13
270
Page 8-14
271
Applications of lists
272
Geometric mean of a list
273
Weighted average
274
Statistics of grouped data
275
Chapter 9
278
Entering vectors
279
Page 9-5
282
→ keys are selected
282
Building a vector with ARRY
283
Page 9-7
284
Page 9-8
285
Addition, subtraction
286
The MTH/VECTOR menu
287
Dot product
288
Cross product
288
Decomposing a vector
288
Changing coordinate system
289
Page 9-13
290
Resultant of forces
292
Angle between vectors
292
Moment of a force
293
Equation of a plane in space
294
Page 9-18
295
Function OBJ
296
Function LIST
297
Function DROP
297
Page 9-21
298
Page 9-22
299
Page 9-23
300
Page 9-24
301
Chapter 10!
302
Using the Matrix Writer
303
Page 10-3
304
Page 10-4
305
Page 10-5
306
Functions GET and PUT
307
Functions GETI and PUTI
307
Function SIZE
308
Function TRN
308
Function CON
309
Function IDN
310
Function RDM
310
Page 10-10
311
Function RANM
312
Function SUB
312
Function REPL
313
Function →DIAG
313
Function DIAG→
314
Function VANDERMONDE
314
Function HILBERT
315
Page 10-15
316
Page 10-16
317
Page 10-17
318
Function →COL
319
Function COL→
320
Function COL+
320
Function COL
321
Function CSWP
321
Manipulating matrices by rows
322
Function →ROW
323
Function ROW→
324
Function ROW+
324
Function ROW
325
Function RSWP
325
Function RCI
326
Function RCIJ
326
Page 10-26
327
Chapter 11
328
Addition and subtraction
329
Multiplication
329
Page 11-3
330
.,,2,1;,,2,1
331
Page 11-5
332
Page 11-7
334
Function ABS
335
Function SNRM
335
Functions RNRM and CNRM
336
Function SRAD
337
Function COND
337
Function RANK
338
Function DET
339
Page 11-13
340
Function TRACE
341
Function TRAN
342
Function AXL
343
Function AXM
343
Function LCXM
343
Solution of linear systems
344
Page 11-19
346
Page 11-21
348
Page 11-23
350
Page 11-24
351
)3()2()1(
355
Page 11-30
357
Page 11-31
358
Page 11-32
359
Page 11-34
361
Page 11-36
363
Page 11-37
364
1 -1/16 0 33/16
365
Page 11-39
366
Page 11-42
369
Page 11-43
370
Page 11-44
371
Eigenvalues and eigenvectors
372
Function EGVL
373
Function EGV
373
Function JORDAN
374
4: ‘X^3+-6*x^2+2*X+8’
375
3: ‘X^3+-6*x^2+2*X+8’
375
Matrix factorization
376
1: [[0 0 1][1 0 0][0 1 0]]
377
Function SVL
378
Function SCHUR
378
Function LQ
378
1: [[1 0 0][0 0 1][0 1 0]]
379
Matrix Quadratic Forms
379
1: [‘X’ ‘Y’ ‘Z’]
380
2: [[1 2 –8][2 1 0][-8 0 –1]]
380
Function SYLVESTER
381
Function GAUSS
381
Function IMAGE
382
Function ISOM
382
Function KER
383
Function MKISOM
383
Chapter 12
384
Graphics
384
Page 12-2
385
Page 12-3
386
Page 12-4
387
Page 12-5
388
Page 12-6
389
Saving a graph for future use
390
Graph of ln(X)
391
Page 12-9
392
Page 12-10
393
The PPAR variable
394
Page 12-12
395
Page 12-13
396
Page 12-14
397
Page 12-15
398
Page 12-16
399
The TPAR variable
400
Plots in polar coordinates
401
Page 12-19
402
Plotting conic curves
403
Page 12-21
404
Parametric plots
405
Conic as the TYPE
405
High to 2@@@OK@@@. Enter 0
406
Page 12-24
407
Page 12-25
408
Page 12-26
409
Page 12-27
410
Truth plots
411
TYPE to Truth
411
H-View: -6.5 6.5, V-View:
411
-3.9 4.0 (To
411
Bar plots
412
TYPE to Bar
413
V-View: 0 5
413
V-View: 0 6
414
TYPE to Scatter
414
H-View: 0 6, V-View: 0 6
414
H-View: 0 7, V-View: 0 7
415
Slope fields
416
TYPE to Slopefield
416
Indep: and ‘Y’ as the Depnd:
416
TYPE to Fast3D
417
Step Indep: 20 Depnd: 16
418
Wireframe plots
419
TYPE to Wireframe
419
XE:0 YE:-3 ZE:3
420
XE:3 YE:3 ZE:3
420
Ps-Contour plots
421
TYPE to Ps-Contour
421
Y-Slice plots
422
TYPE to Y-Slice
422
Gridmap plots
423
TYPE to Gridmap
424
Pr-Surface plots
424
TYPE to Pr-Surface
425
Interactive drawing
426
TYPE to Function, if needed
426
DOT+ and DOT
427
Page 12-45
428
Page 12-46
429
ZFACT, ZIN, ZOUT, and ZLAST
430
Page 12-48
431
The SYMBOLIC menu and graphs
432
The SYMB/GRAPH menu
433
Page 12-51
434
Function DRAW3DMATRIX
435
Chapter 13
436
Calculus Applications
436
)(lim xf
437
Derivatives
438
Functions DERIV and DERVX
438
The DERIV&INTEG menu
439
Page 13-5
440
The chain rule
441
Application of derivatives
442
Page 13-8
443
Function DOMAIN
444
Function TABVAL
444
Page 13-10
445
Page 13-11
446
Page 13-12
447
Higher order derivatives
448
CxFdxxf +=
449
),()()( aFbFdxxf
450
Page 13-16
451
Integrating an equation
452
Techniques of integration
453
−= vduuvdudv )(
454
−= vduuvudv
454
Page 13-20
455
Integration with units
456
Infinite series
457
Chapter 14
461
Page 14-2
462
Page 14-3
463
⋅(∂z/∂y) + (dx/dt)⋅(∂z/∂x)
464
(∂z/∂x)⋅dx + (∂z/∂y)⋅dy
465
Multiple integrals
468
Page 14-10
470
[] [] [] []
471
Potential of a gradient
473
[] [] []
475
Vector potential
476
Page 15-7
477
⋅(du(x)/dx) + u(x)
478
The CALC/DIFF menu
480
Function LDEC
481
K3 = (15*cC0+(2*cC1-cC2))/15
482
1st order linear”
485
Exact expressions, ‘y(0)
486
Laplace Transforms
487
,)()()}({ dtetfsFtf
488
Laplace transform theorems
489
)()()}({)}({ sGsFtgtf ⋅=⋅LL
491
= .0.1)( dxx
492
=− ).()()(
492
Delta(5)’
493
TYPE to FUNCTION, if needed
499
Indep is set to ‘X’
499
.)3(sinsincos)(
501
⋅⋅−⋅+⋅+⋅= dueuHttCtCoty
501
Fourier series
503
Function FOURIER
505
Page 16-32
509
Page 16-33
510
Page 16-34
511
Page 16-35
512
Page 16-37
514
Page 16-38
515
Page 16-39
516
Page 16-40
517
Page 16-41
518
Fourier Transforms
519
⋅⋅⋅⋅= ,)cos()(
520
⋅⋅⋅⋅= dxxxfS
521
)sin()()()}({ dttFtfF
522
)cos()()()}({ dttFtfF
522
Page 16-46
523
Fast Fourier Transform (FFT)
524
Examples of FFT applications
525
Page 16-49
526
Page 16-50
527
=+⋅−+ bnan
528
Page 16-58
535
Page 16-59
536
Page 16-60
537
⋅−⋅−= 962.175.18
538
Page 16-62
539
Page 16-63
540
Page 16-64
541
Page 16-65
542
SOLVE Y’(T) = F(T,Y)
543
Function RKF
544
Function RRK
545
Function RKFSTEP
546
Function RRKSTEP
547
Function RKFERR
548
Function RSBERR
548
Page 16-72
549
Chapter 17
550
Probability Applications
550
Random numbers
551
Page 17-3
552
Page 17-4
553
Σ(k=0,x,pmfb(n,p,k)))
554
The gamma distribution
555
The exponential distribution
555
Page 17-7
556
. Repeat
557
Normal distribution pdf
558
Normal distribution cdf
559
The Student-t distribution
559
∞<<−∞+⋅
560
The F distribution
561
Page 17-13
562
Page 17-14
563
Page 17-15
564
Page 17-16
565
Page 17-17
566
Page 17-18
567
Chapter 18
568
Statistical Applications
568
Sample. Move
569
Median: 2.15
571
Type: Population in the
572
ΣDAT, by using function STOΣ
574
Page 18-9
576
ΣDAT variable
577
Page 18-11
578
1: Covariance: -6.23350666124
580
Calculation of percentiles
581
The STAT soft menu
582
The DATA sub-menu
583
The ΣPAR sub-menu
583
The 1VAR sub menu
584
The PLOT sub-menu
584
The FIT sub-menu
585
The SUMS sub-menu
585
Page 18-19
586
'1.5+2*X'
587
Intercept: 1.5, Slope: 2
587
Page 18-21
588
Confidence intervals
589
Definitions
590
Page 18-27
594
Page 18-31
598
Hypothesis testing
602
Errors in hypothesis testing
603
Paired sample tests
608
0)( =SSE
617
−=⋅−=−−=
618
P-value < α
621
3: '-.86 + 3.24*X'
621
1: Covariance: 2.025
622
Multiple linear fitting
624
Polynomial fitting
626
Page 18-61
628
Selecting the best fitting
629
Page 18-64
631
Page 18-65
632
Chapter 19
633
Numbers in Different Bases
633
Page 19-2
634
! is selected, any number
634
Page 19-3
635
Wordsize
636
The LOGIC menu
637
The BIT menu
638
The BYTE menu
639
Chapter 20
640
Page 20-2
641
Page 20-3
642
Page 20-4
643
Customizing the keyboard
644
Page 20-6
645
Operating user-defined keys
646
Page 20-8
647
Chapter 21
648
Page 21-2
649
→ x « x SINH 1 x SQ ADD / »»
650
The PRG menu
652
Page 21-6
653
Functions listed by sub-menu
654
Page 21-8
655
Shortcuts in the PRG menu
656
Page 21-10
657
Page 21-11
658
Page 21-13
660
},...,,,{
661
* SQ * 2 * SWAP SQ SWAP / »
665
Interactive input in programs
666
Cu n y0 S0
667
‘SQ(S4)/(S3*SQ(S2*S1)*2)’
667
Page 21-21
668
:a:35 in stack level 1
669
INPUT OBJ→→ a
669
‘2*a^2+3‘ » »
669
Page 21-24
671
« ‘2*a^2+3‘ NUM »»
671
V T ‘(1.662902_J/K)*(T/V)’ »
672
Application
673
Input through input forms
674
Page 21-29
676
Page 21-30
677
Creating a choose box
678
Tagging a numerical result
680
Examples of tagged output
681
Using a message box
684
Page 21-38
685
Page 21-39
686
STR ‚Õ ‚ë ™+
686
Page 21-40
687
Page 21-41
688
Page 21-42
689
Relational operators
690
ˏ “is less than” ‘m<n’
691
Logical operators
692
Program branching
693
Branching with IF
694
The IF…THEN…END construct
694
Page 21-48
695
Page 21-49
696
Page 21-50
697
The CASE construct
698
Program loops
700
Page 21-54
701
Page 21-55
702
Page 21-58
705
The FOR construct
706
1 0 START 1 1 STEP returns 1)
707
The DO construct
708
Page 21-62
709
The WHILE construct
710
Errors and error trapping
711
Sub-menu IFERR
712
Page 21-66
713
Page 21-67
714
« → X ‘2.5-3*X^2’ »
714
Page 21-68
715
Chapter 22
716
Description of the PLOT menu
717
Page 22-3
718
Page 22-4
719
Page 22-5
720
Page 22-8
723
Page 22-9
724
Page 22-10
725
Page 22-11
726
Page 22-12
727
Page 22-13
728
Two-dimensional graphics
729
Three-dimensional graphics
730
The variable EQ
730
Page 22-16
731
Page 22-17
732
Page 22-18
733
Page 22-19
734
PIX?, PIXON, and PIXOFF
736
Page 22-22
737
Page 22-23
738
Page 22-24
739
Pixel coordinates
740
Animating graphics
741
Page 22-27
742
Page 22-28
743
LIST ³ ~~wlist~ K
743
Graphic objects (GROBs)
744
Page 22-30
745
The GROB menu
746
Page 22-33
748
Modular programming
750
Running the program
751
(2.50E1, 5.00E1)
752
{ 25 75 50 } [ENTER]
753
Page 22-40
755
Page 22-41
756
Chapter 23
757
Character strings
757
String concatenation
758
The CHARS menu
758
NAME IS CYRILLE
759
The characters list
759
Page 23-4
760
S, or ~‚s. Some
760
Chapter 24
761
Calculator objects and flags
761
Function TYPE
762
Function VTYPE
762
Calculator flags
763
User flags
764
Chapter 25
765
Date and Time Functions
765
Browsing alarms
766
TIME Tools
766
Calculations with dates
767
Calculating with times
768
Alarm functions
768
Chapter 26
769
Managing memory
769
The HOME directory
770
Port memory
770
Checking objects in memory
771
Backup objects
772
Backing up and restoring HOME
773
Page 26-6
774
Using data in backup objects
775
Using SD cards
775
Formatting an SD card
776
Storing objects on an SD card
777
Page 26-10
778
Page 26-11
779
Using libraries
780
Backup battery
781
Page 26-14
782
Chapter 27
783
The Equation Library
783
Using the Solver
784
Using the menu keys
785
Viewing equations
786
Viewing the picture
787
Page 27-6
788
Operation Key Action
788
Page 27-7
789
Defining a set of equations
790
∂,
791
Page 27-10
792
Checking solutions
793
Page 27-12
794
Appendix A
795
Using input forms
795
Page A-2
796
Page A-3
797
Page A-4
798
Appendix B
799
The calculator’s keyboard
799
Page B-2
800
Main key functions
801
Alternate key functions
802
Left-shift functions
803
Page B-6
804
Page B-7
805
Right-shift functions
806
ALPHA characters
807
Alpha-left-shift characters
808
Page B-11
809
Alpha-right-shift characters
810
,
810
Page B-13
811
Appendix C
812
CAS settings
812
Page C-2
813
Selecting the modulus
814
Numeric vs. symbolic CAS mode
814
Page C-4
815
Page C-5
816
Complex vs. Real CAS mode
817
Step-by-step CAS mode
818
Increasing-power CAS mode
820
Rigorous CAS setting
821
Using the CAS HELP facility
821
Page C-11
822
Page C-12
823
Page C-13
824
Page C-14
825
Appendix D
826
Additional character set
826
Page D-2
827
Greek letters
828
Other characters
828
Appendix E
829
Page E-2
830
Page E-3
831
Page E-4
832
Appendix F
833
The Applications (APPS) menu
833
I/O functions
834
Constants lib
834
Numeric solver
835
Time & date
835
Equation writer
836
File manager
836
Matrix Writer
837
Text editor
837
Math menu
837
CAS menu
838
Equation Library
838
Page F-7
839
Appendix G
840
Useful shortcuts
840
Page G-2
841
Page G-3
842
Appendix H
843
The CAS help facility
843
Page H-2
844
Appendix I
845
Command catalog list
845
Appendix J
846
The MATHS menu
846
The HYPERBOLIC sub-menu
847
The INTEGER sub-menu
847
The MODULAR sub-menu
847
The POLYNOMIAL sub-menu
848
The TESTS sub-menu
848
Appendix K
849
The MAIN menu
849
The MATHS sub-menu
850
The ARIT sub-menu
851
The EXP&LN sub-menu
852
The MATR sub-menu
852
Page K-5
853
Appendix L
854
Line editor commands
854
Page L-2
855
The SEARCH sub-menu
856
The GOTO sub-menu
857
The Style sub-menu
857
Page L-5
858
Appendix M
859
Table of Built-In Equations
859
Page M-2
860
Page M-3
861
Appendix N
862
Page N-2
863
Page N-3
864
Page N-4
865
Page N-5
866
Page N-6
867
Page N-7
868
Page N-8
869
Page N-9
870
Page N-10
871
Page N-11
872
Page N-12
873
Page N-13
874
Page N-14
875
Page N-15
876
Page N-16
877
Page N-17
878
Page N-18
879
Page N-19
880
Page N-20
881
Limited Warranty
882
Page LW-2
883
Page LW-3
884
Regulatory information
885
Page LW-5
886
xxxx*
887
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