Download  Print this page

Computer Algebra System (cas); What Is A Cas; Performing Symbolic Calculations - HP 40gs User Manual

Graphing calculator.
Hide thumbs
   
1
2
Table of Contents
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444

Advertisement

hp40g+.book Page 1 Friday, December 9, 2005 1:03 AM

Computer Algebra System (CAS)

What is a CAS?

Performing symbolic calculations

Computer Algebra System (CAS)
A computer algebra system (hereafter CAS) enables you
to perform symbolic calculations. With a CAS you
manipulate mathematical equations and expressions in
symbolic form, rather than manipulating approximations
of the numerical quantities represented by those symbols.
In other words, a CAS works in exact mode, giving you
infinite precision. On the other hand, non-CAS
calculations, such as those performed in HOME view or
by an aplet, are numerical calculations and are limited by
the precision of the calculator (to 10
HP 40gs).
For example, with Standard as your numerical format,
1/2 + 1/6 returns 0.6666666666667 if you are
working in the HOME screen; however, 1/2 + 1/6
returns 2/3 if you are working with CAS. HOME
calculations are restricted to approximate (or numeric)
mode, while CAS calculations always work in exact
mode (unless you specifically change the default CAS
modes).
Each mode has advantages and disadvantages. For
example, in exact mode there is no rounding error, but
some calculations will take much longer to complete and
require more memory than equivalent calculations in
numeric mode.
You perform CAS calculations with a special tool known
as the Equation Writer. Some computer algebra
operations can also be done in the HOME screen, as
long as you take certain precautions (see "Using CAS
functions in HOME" on page 14-7). Moreover, some
computer algebra operations can only be done in the
HOME screen; for example, symbolic linear algebra
14
–12
in the case of the
14-1

Advertisement

Table of Contents

   Also See for HP 40gs

   Related Manuals for HP 40gs

Comments to this Manuals

Symbols: 0
Latest comments: