aboutsummaryrefslogtreecommitdiff
path: root/src/Lecture6/notebook/8-SageCalculus.log
diff options
context:
space:
mode:
Diffstat (limited to 'src/Lecture6/notebook/8-SageCalculus.log')
-rw-r--r--src/Lecture6/notebook/8-SageCalculus.log1106
1 files changed, 1106 insertions, 0 deletions
diff --git a/src/Lecture6/notebook/8-SageCalculus.log b/src/Lecture6/notebook/8-SageCalculus.log
new file mode 100644
index 0000000..0614274
--- /dev/null
+++ b/src/Lecture6/notebook/8-SageCalculus.log
@@ -0,0 +1,1106 @@
1This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/VoidLinux) (preloaded format=pdflatex 2021.4.20) 7 MAY 2021 18:13
2entering extended mode
3 \write18 enabled.
4 %&-line parsing enabled.
5**8-SageCalculus.tex
6(./8-SageCalculus.tex
7LaTeX2e <2020-10-01> patch level 2
8L3 programming layer <2020-12-03> xparse <2020-03-03>
9(/usr/share/texmf-dist/tex/latex/base/article.cls
10Document Class: article 2020/04/10 v1.4m Standard LaTeX document class
11(/usr/share/texmf-dist/tex/latex/base/size11.clo
12File: size11.clo 2020/04/10 v1.4m Standard LaTeX file (size option)
13)
14\c@part=\count177
15\c@section=\count178
16\c@subsection=\count179
17\c@subsubsection=\count180
18\c@paragraph=\count181
19\c@subparagraph=\count182
20\c@figure=\count183
21\c@table=\count184
22\abovecaptionskip=\skip47
23\belowcaptionskip=\skip48
24\bibindent=\dimen138
25)
26(/usr/share/texmf-dist/tex/latex/tcolorbox/tcolorbox.sty
27Package: tcolorbox 2020/10/09 version 4.42 text color boxes
28
29(/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
30(/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
31(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
32\pgfutil@everybye=\toks15
33\pgfutil@tempdima=\dimen139
34\pgfutil@tempdimb=\dimen140
35
36(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex))
37(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
38\pgfutil@abb=\box47
39)
40(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
41(/usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex)
42Package: pgfrcs 2020/12/01 v3.1.7a (3.1.7a)
43))
44Package: pgf 2020/12/01 v3.1.7a (3.1.7a)
45
46(/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
47(/usr/share/texmf-dist/tex/latex/graphics/graphicx.sty
48Package: graphicx 2020/09/09 v1.2b Enhanced LaTeX Graphics (DPC,SPQR)
49
50(/usr/share/texmf-dist/tex/latex/graphics/keyval.sty
51Package: keyval 2014/10/28 v1.15 key=value parser (DPC)
52\KV@toks@=\toks16
53)
54(/usr/share/texmf-dist/tex/latex/graphics/graphics.sty
55Package: graphics 2020/08/30 v1.4c Standard LaTeX Graphics (DPC,SPQR)
56
57(/usr/share/texmf-dist/tex/latex/graphics/trig.sty
58Package: trig 2016/01/03 v1.10 sin cos tan (DPC)
59)
60(/usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
61File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration
62)
63Package graphics Info: Driver file: pdftex.def on input line 105.
64
65(/usr/share/texmf-dist/tex/latex/graphics-def/pdftex.def
66File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex
67))
68\Gin@req@height=\dimen141
69\Gin@req@width=\dimen142
70)
71(/usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
72(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
73Package: pgfsys 2020/12/01 v3.1.7a (3.1.7a)
74
75(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
76\pgfkeys@pathtoks=\toks17
77\pgfkeys@temptoks=\toks18
78
79(/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex
80\pgfkeys@tmptoks=\toks19
81))
82\pgf@x=\dimen143
83\pgf@y=\dimen144
84\pgf@xa=\dimen145
85\pgf@ya=\dimen146
86\pgf@xb=\dimen147
87\pgf@yb=\dimen148
88\pgf@xc=\dimen149
89\pgf@yc=\dimen150
90\pgf@xd=\dimen151
91\pgf@yd=\dimen152
92\w@pgf@writea=\write3
93\r@pgf@reada=\read2
94\c@pgf@counta=\count185
95\c@pgf@countb=\count186
96\c@pgf@countc=\count187
97\c@pgf@countd=\count188
98\t@pgf@toka=\toks20
99\t@pgf@tokb=\toks21
100\t@pgf@tokc=\toks22
101\pgf@sys@id@count=\count189
102
103(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
104File: pgf.cfg 2020/12/01 v3.1.7a (3.1.7a)
105)
106Driver file for pgf: pgfsys-pdftex.def
107
108(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
109File: pgfsys-pdftex.def 2020/12/01 v3.1.7a (3.1.7a)
110
111(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
112File: pgfsys-common-pdf.def 2020/12/01 v3.1.7a (3.1.7a)
113)))
114(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
115File: pgfsyssoftpath.code.tex 2020/12/01 v3.1.7a (3.1.7a)
116\pgfsyssoftpath@smallbuffer@items=\count190
117\pgfsyssoftpath@bigbuffer@items=\count191
118)
119(/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
120File: pgfsysprotocol.code.tex 2020/12/01 v3.1.7a (3.1.7a)
121))
122(/usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty
123Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK)
124
125(/usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg
126File: color.cfg 2016/01/02 v1.6 sample color configuration
127)
128Package xcolor Info: Driver file: pdftex.def on input line 225.
129Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348.
130Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352.
131Package xcolor Info: Model `RGB' extended on input line 1364.
132Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366.
133Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367.
134Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368.
135Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369.
136Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370.
137Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371.
138)
139(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
140Package: pgfcore 2020/12/01 v3.1.7a (3.1.7a)
141
142(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
143(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
144(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
145(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex
146\pgfmath@dimen=\dimen153
147\pgfmath@count=\count192
148\pgfmath@box=\box48
149\pgfmath@toks=\toks23
150\pgfmath@stack@operand=\toks24
151\pgfmath@stack@operation=\toks25
152)
153(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
154(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex)
155(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code
156.tex)
157(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex)
158(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.te
159x) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex)
160(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex)
161(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex)
162(/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics
163.code.tex))) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex
164\c@pgfmathroundto@lastzeros=\count193
165)) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfint.code.tex)
166(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
167File: pgfcorepoints.code.tex 2020/12/01 v3.1.7a (3.1.7a)
168\pgf@picminx=\dimen154
169\pgf@picmaxx=\dimen155
170\pgf@picminy=\dimen156
171\pgf@picmaxy=\dimen157
172\pgf@pathminx=\dimen158
173\pgf@pathmaxx=\dimen159
174\pgf@pathminy=\dimen160
175\pgf@pathmaxy=\dimen161
176\pgf@xx=\dimen162
177\pgf@xy=\dimen163
178\pgf@yx=\dimen164
179\pgf@yy=\dimen165
180\pgf@zx=\dimen166
181\pgf@zy=\dimen167
182)
183(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
184File: pgfcorepathconstruct.code.tex 2020/12/01 v3.1.7a (3.1.7a)
185\pgf@path@lastx=\dimen168
186\pgf@path@lasty=\dimen169
187) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
188File: pgfcorepathusage.code.tex 2020/12/01 v3.1.7a (3.1.7a)
189\pgf@shorten@end@additional=\dimen170
190\pgf@shorten@start@additional=\dimen171
191)
192(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
193File: pgfcorescopes.code.tex 2020/12/01 v3.1.7a (3.1.7a)
194\pgfpic=\box49
195\pgf@hbox=\box50
196\pgf@layerbox@main=\box51
197\pgf@picture@serial@count=\count194
198)
199(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
200File: pgfcoregraphicstate.code.tex 2020/12/01 v3.1.7a (3.1.7a)
201\pgflinewidth=\dimen172
202)
203(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.t
204ex
205File: pgfcoretransformations.code.tex 2020/12/01 v3.1.7a (3.1.7a)
206\pgf@pt@x=\dimen173
207\pgf@pt@y=\dimen174
208\pgf@pt@temp=\dimen175
209) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
210File: pgfcorequick.code.tex 2020/12/01 v3.1.7a (3.1.7a)
211)
212(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
213File: pgfcoreobjects.code.tex 2020/12/01 v3.1.7a (3.1.7a)
214)
215(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.te
216x
217File: pgfcorepathprocessing.code.tex 2020/12/01 v3.1.7a (3.1.7a)
218) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
219File: pgfcorearrows.code.tex 2020/12/01 v3.1.7a (3.1.7a)
220\pgfarrowsep=\dimen176
221)
222(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
223File: pgfcoreshade.code.tex 2020/12/01 v3.1.7a (3.1.7a)
224\pgf@max=\dimen177
225\pgf@sys@shading@range@num=\count195
226\pgf@shadingcount=\count196
227)
228(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex
229File: pgfcoreimage.code.tex 2020/12/01 v3.1.7a (3.1.7a)
230
231(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex
232File: pgfcoreexternal.code.tex 2020/12/01 v3.1.7a (3.1.7a)
233\pgfexternal@startupbox=\box52
234))
235(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex
236File: pgfcorelayers.code.tex 2020/12/01 v3.1.7a (3.1.7a)
237)
238(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex
239File: pgfcoretransparency.code.tex 2020/12/01 v3.1.7a (3.1.7a)
240) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex
241File: pgfcorepatterns.code.tex 2020/12/01 v3.1.7a (3.1.7a)
242)
243(/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex
244File: pgfcorerdf.code.tex 2020/12/01 v3.1.7a (3.1.7a)
245)))
246(/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
247File: pgfmoduleshapes.code.tex 2020/12/01 v3.1.7a (3.1.7a)
248\pgfnodeparttextbox=\box53
249)
250(/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
251File: pgfmoduleplot.code.tex 2020/12/01 v3.1.7a (3.1.7a)
252)
253(/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
254Package: pgfcomp-version-0-65 2020/12/01 v3.1.7a (3.1.7a)
255\pgf@nodesepstart=\dimen178
256\pgf@nodesepend=\dimen179
257)
258(/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
259Package: pgfcomp-version-1-18 2020/12/01 v3.1.7a (3.1.7a)
260))
261(/usr/share/texmf-dist/tex/latex/tools/verbatim.sty
262Package: verbatim 2020-07-07 v1.5u LaTeX2e package for verbatim enhancements
263\every@verbatim=\toks26
264\verbatim@line=\toks27
265\verbatim@in@stream=\read3
266)
267(/usr/share/texmf-dist/tex/latex/environ/environ.sty
268Package: environ 2014/05/04 v0.3 A new way to define environments
269
270(/usr/share/texmf-dist/tex/latex/trimspaces/trimspaces.sty
271Package: trimspaces 2009/09/17 v1.1 Trim spaces around a token list
272)
273\@envbody=\toks28
274)
275(/usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty
276Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW)
277\etb@tempcnta=\count197
278)
279\tcb@titlebox=\box54
280\tcb@upperbox=\box55
281\tcb@lowerbox=\box56
282\tcb@phantombox=\box57
283\c@tcbbreakpart=\count198
284\c@tcblayer=\count199
285\c@tcolorbox@number=\count266
286\tcb@temp=\box58
287\tcb@temp=\box59
288\tcb@temp=\box60
289\tcb@temp=\box61
290\tcb@out=\write4
291\tcb@record@out=\write5
292
293(/usr/share/texmf-dist/tex/latex/tcolorbox/tcbbreakable.code.tex
294Library (tcolorbox): 'tcbbreakable.code.tex' version '4.42'
295(/usr/share/texmf-dist/tex/generic/oberdiek/pdfcol.sty
296Package: pdfcol 2019/12/29 v1.6 Handle new color stacks for pdfTeX (HO)
297
298(/usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
299Package: ltxcmds 2020-05-10 v1.25 LaTeX kernel commands for general use (HO)
300)
301(/usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty
302Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO)
303)
304(/usr/share/texmf-dist/tex/generic/iftex/iftex.sty
305Package: iftex 2020/03/06 v1.0d TeX engine tests
306))
307Package pdfcol Info: New color stack `tcb@breakable' = 1 on input line 23.
308\tcb@testbox=\box62
309\tcb@totalupperbox=\box63
310\tcb@totallowerbox=\box64
311))
312(/usr/share/texmf-dist/tex/latex/parskip/parskip.sty
313Package: parskip 2020-06-15 v2.0f non-zero parskip adjustments
314
315(/usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty
316Package: kvoptions 2020-10-07 v3.14 Key value format for package options (HO)
317
318(/usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
319Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO)
320)))
321(/usr/share/texmf-dist/tex/latex/base/fontenc.sty
322Package: fontenc 2020/08/10 v2.0s Standard LaTeX package
323)
324(/usr/share/texmf-dist/tex/latex/psnfss/mathpazo.sty
325Package: mathpazo 2020/03/25 PSNFSS-v9.3 Palatino w/ Pazo Math (D.Puga, WaS)
326\symupright=\mathgroup4
327)
328(/usr/share/texmf-dist/tex/latex/caption/caption.sty
329Package: caption 2020/10/26 v3.5g Customizing captions (AR)
330
331(/usr/share/texmf-dist/tex/latex/caption/caption3.sty
332Package: caption3 2020/10/21 v2.2e caption3 kernel (AR)
333\captionmargin=\dimen180
334\captionmargin@=\dimen181
335\captionwidth=\dimen182
336\caption@tempdima=\dimen183
337\caption@indent=\dimen184
338\caption@parindent=\dimen185
339\caption@hangindent=\dimen186
340Package caption Info: Standard document class detected.
341)
342\c@caption@flags=\count267
343\c@continuedfloat=\count268
344)
345(/usr/share/texmf-dist/tex/latex/adjustbox/adjustbox.sty
346Package: adjustbox 2020/08/19 v1.3 Adjusting TeX boxes (trim, clip, ...)
347
348(/usr/share/texmf-dist/tex/latex/xkeyval/xkeyval.sty
349Package: xkeyval 2020/11/20 v2.8 package option processing (HA)
350
351(/usr/share/texmf-dist/tex/generic/xkeyval/xkeyval.tex
352(/usr/share/texmf-dist/tex/generic/xkeyval/xkvutils.tex
353\XKV@toks=\toks29
354\XKV@tempa@toks=\toks30
355)
356\XKV@depth=\count269
357File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA)
358))
359(/usr/share/texmf-dist/tex/latex/adjustbox/adjcalc.sty
360Package: adjcalc 2012/05/16 v1.1 Provides advanced setlength with multiple back
361-ends (calc, etex, pgfmath)
362)
363(/usr/share/texmf-dist/tex/latex/adjustbox/trimclip.sty
364Package: trimclip 2020/08/19 v1.2 Trim and clip general TeX material
365
366(/usr/share/texmf-dist/tex/latex/collectbox/collectbox.sty
367Package: collectbox 2012/05/17 v0.4b Collect macro arguments as boxes
368\collectedbox=\box65
369)
370\tc@llx=\dimen187
371\tc@lly=\dimen188
372\tc@urx=\dimen189
373\tc@ury=\dimen190
374Package trimclip Info: Using driver 'tc-pdftex.def'.
375
376(/usr/share/texmf-dist/tex/latex/adjustbox/tc-pdftex.def
377File: tc-pdftex.def 2019/01/04 v2.2 Clipping driver for pdftex
378))
379\adjbox@Width=\dimen191
380\adjbox@Height=\dimen192
381\adjbox@Depth=\dimen193
382\adjbox@Totalheight=\dimen194
383\adjbox@pwidth=\dimen195
384\adjbox@pheight=\dimen196
385\adjbox@pdepth=\dimen197
386\adjbox@ptotalheight=\dimen198
387
388(/usr/share/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty
389Package: ifoddpage 2016/04/23 v1.1 Conditionals for odd/even page detection
390\c@checkoddpage=\count270
391)
392(/usr/share/texmf-dist/tex/latex/varwidth/varwidth.sty
393Package: varwidth 2009/03/30 ver 0.92; Variable-width minipages
394\@vwid@box=\box66
395\sift@deathcycles=\count271
396\@vwid@loff=\dimen199
397\@vwid@roff=\dimen256
398))
399(/usr/share/texmf-dist/tex/latex/float/float.sty
400Package: float 2001/11/08 v1.3d Float enhancements (AL)
401\c@float@type=\count272
402\float@exts=\toks31
403\float@box=\box67
404\@float@everytoks=\toks32
405\@floatcapt=\box68
406)
407(/usr/share/texmf-dist/tex/latex/tools/enumerate.sty
408Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC)
409\@enLab=\toks33
410)
411(/usr/share/texmf-dist/tex/latex/geometry/geometry.sty
412Package: geometry 2020/01/02 v5.9 Page Geometry
413
414(/usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty
415Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead.
416)
417\Gm@cnth=\count273
418\Gm@cntv=\count274
419\c@Gm@tempcnt=\count275
420\Gm@bindingoffset=\dimen257
421\Gm@wd@mp=\dimen258
422\Gm@odd@mp=\dimen259
423\Gm@even@mp=\dimen260
424\Gm@layoutwidth=\dimen261
425\Gm@layoutheight=\dimen262
426\Gm@layouthoffset=\dimen263
427\Gm@layoutvoffset=\dimen264
428\Gm@dimlist=\toks34
429)
430(/usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty
431Package: amsmath 2020/09/23 v2.17i AMS math features
432\@mathmargin=\skip49
433
434For additional information on amsmath, use the `?' option.
435(/usr/share/texmf-dist/tex/latex/amsmath/amstext.sty
436Package: amstext 2000/06/29 v2.01 AMS text
437
438(/usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty
439File: amsgen.sty 1999/11/30 v2.0 generic functions
440\@emptytoks=\toks35
441\ex@=\dimen265
442))
443(/usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty
444Package: amsbsy 1999/11/29 v1.2d Bold Symbols
445\pmbraise@=\dimen266
446)
447(/usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty
448Package: amsopn 2016/03/08 v2.02 operator names
449)
450\inf@bad=\count276
451LaTeX Info: Redefining \frac on input line 234.
452\uproot@=\count277
453\leftroot@=\count278
454LaTeX Info: Redefining \overline on input line 399.
455\classnum@=\count279
456\DOTSCASE@=\count280
457LaTeX Info: Redefining \ldots on input line 496.
458LaTeX Info: Redefining \dots on input line 499.
459LaTeX Info: Redefining \cdots on input line 620.
460\Mathstrutbox@=\box69
461\strutbox@=\box70
462\big@size=\dimen267
463LaTeX Font Info: Redeclaring font encoding OML on input line 743.
464LaTeX Font Info: Redeclaring font encoding OMS on input line 744.
465\macc@depth=\count281
466\c@MaxMatrixCols=\count282
467\dotsspace@=\muskip16
468\c@parentequation=\count283
469\dspbrk@lvl=\count284
470\tag@help=\toks36
471\row@=\count285
472\column@=\count286
473\maxfields@=\count287
474\andhelp@=\toks37
475\eqnshift@=\dimen268
476\alignsep@=\dimen269
477\tagshift@=\dimen270
478\tagwidth@=\dimen271
479\totwidth@=\dimen272
480\lineht@=\dimen273
481\@envbody=\toks38
482\multlinegap=\skip50
483\multlinetaggap=\skip51
484\mathdisplay@stack=\toks39
485LaTeX Info: Redefining \[ on input line 2923.
486LaTeX Info: Redefining \] on input line 2924.
487)
488(/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty
489Package: amssymb 2013/01/14 v3.01 AMS font symbols
490
491(/usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty
492Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
493\symAMSa=\mathgroup5
494\symAMSb=\mathgroup6
495LaTeX Font Info: Redeclaring math symbol \hbar on input line 98.
496LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold'
497(Font) U/euf/m/n --> U/euf/b/n on input line 106.
498))
499(/usr/share/texmf-dist/tex/latex/base/textcomp.sty
500Package: textcomp 2020/02/02 v2.0n Standard LaTeX package
501)
502(/usr/share/texmf-dist/tex/latex/upquote/upquote.sty
503Package: upquote 2012/04/19 v1.3 upright-quote and grave-accent glyphs in verba
504tim
505)
506(/usr/share/texmf-dist/tex/latex/eurosym/eurosym.sty
507Package: eurosym 1998/08/06 v1.1 European currency symbol ``Euro''
508\@eurobox=\box71
509)
510(/usr/share/texmf-dist/tex/latex/ucs/ucs.sty
511Package: ucs 2013/05/11 v2.2 UCS: Unicode input support
512
513(/usr/share/texmf-dist/tex/latex/ucs/data/uni-global.def
514File: uni-global.def 2013/05/13 UCS: Unicode global data
515)
516\uc@secondtry=\count288
517\uc@combtoks=\toks40
518\uc@combtoksb=\toks41
519\uc@temptokena=\toks42
520)
521(/usr/share/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty
522Package: fancyvrb 2020/05/03 v3.6 verbatim text (tvz,hv)
523\FV@CodeLineNo=\count289
524\FV@InFile=\read4
525\FV@TabBox=\box72
526\c@FancyVerbLine=\count290
527\FV@StepNumber=\count291
528\FV@OutFile=\write6
529)
530(/usr/share/texmf-dist/tex/latex/grffile/grffile.sty
531Package: grffile 2019/11/11 v2.1 Extended file name support for graphics (legac
532y)
533Package grffile Info: This package is an empty stub for compatibility on input
534line 40.
535)
536(/usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty
537Package: hyperref 2020-05-15 v7.00e Hypertext links for LaTeX
538
539(/usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
540Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO
541)
542Package pdftexcmds Info: \pdf@primitive is available.
543Package pdftexcmds Info: \pdf@ifprimitive is available.
544Package pdftexcmds Info: \pdfdraftmode found.
545)
546(/usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
547Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO)
548)
549(/usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty
550Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO)
551)
552(/usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty
553Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO)
554)
555(/usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
556Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO)
557)
558(/usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty
559Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO)
560)
561\@linkdim=\dimen274
562\Hy@linkcounter=\count292
563\Hy@pagecounter=\count293
564
565(/usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def
566File: pd1enc.def 2020-05-15 v7.00e Hyperref: PDFDocEncoding definition (HO)
567Now handling font encoding PD1 ...
568... no UTF-8 mapping file for font encoding PD1
569)
570(/usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty
571Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)
572)
573(/usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty
574Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO)
575)
576\Hy@SavedSpaceFactor=\count294
577Package hyperref Info: Hyper figures OFF on input line 4464.
578Package hyperref Info: Link nesting OFF on input line 4469.
579Package hyperref Info: Hyper index ON on input line 4472.
580Package hyperref Info: Plain pages OFF on input line 4479.
581Package hyperref Info: Backreferencing OFF on input line 4484.
582Package hyperref Info: Implicit mode ON; LaTeX internals redefined.
583Package hyperref Info: Bookmarks ON on input line 4717.
584\c@Hy@tempcnt=\count295
585
586(/usr/share/texmf-dist/tex/latex/url/url.sty
587\Urlmuskip=\muskip17
588Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc.
589)
590LaTeX Info: Redefining \url on input line 5076.
591\XeTeXLinkMargin=\dimen275
592
593(/usr/share/texmf-dist/tex/generic/bitset/bitset.sty
594Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO)
595
596(/usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
597Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO
598)
599))
600\Fld@menulength=\count296
601\Field@Width=\dimen276
602\Fld@charsize=\dimen277
603Package hyperref Info: Hyper figures OFF on input line 6347.
604Package hyperref Info: Link nesting OFF on input line 6352.
605Package hyperref Info: Hyper index ON on input line 6355.
606Package hyperref Info: backreferencing OFF on input line 6362.
607Package hyperref Info: Link coloring OFF on input line 6367.
608Package hyperref Info: Link coloring with OCG OFF on input line 6372.
609Package hyperref Info: PDF/A mode OFF on input line 6377.
610LaTeX Info: Redefining \ref on input line 6417.
611LaTeX Info: Redefining \pageref on input line 6421.
612
613(/usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty
614Package: atbegshi-ltx 2020/08/17 v1.0a Emulation of the original atbegshi packa
615ge
616with kernel methods
617)
618\Hy@abspage=\count297
619\c@Item=\count298
620\c@Hfootnote=\count299
621)
622Package hyperref Info: Driver (autodetected): hpdftex.
623
624(/usr/share/texmf-dist/tex/latex/hyperref/hpdftex.def
625File: hpdftex.def 2020-05-15 v7.00e Hyperref driver for pdfTeX
626
627(/usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty
628Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atvery packag
629e
630with kernel methods
631)
632\Fld@listcount=\count300
633\c@bookmark@seq@number=\count301
634
635(/usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
636Package: rerunfilecheck 2019/12/05 v1.9 Rerun checks for auxiliary files (HO)
637
638(/usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
639Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO)
640)
641Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2
64286.
643)
644\Hy@SectionHShift=\skip52
645)
646(/usr/share/texmf-dist/tex/latex/titling/titling.sty
647Package: titling 2009/09/04 v2.1d maketitle typesetting
648\thanksmarkwidth=\skip53
649\thanksmargin=\skip54
650\droptitle=\skip55
651)
652(/usr/share/texmf-dist/tex/latex/tools/longtable.sty
653Package: longtable 2020/01/07 v4.13 Multi-page Table package (DPC)
654\LTleft=\skip56
655\LTright=\skip57
656\LTpre=\skip58
657\LTpost=\skip59
658\LTchunksize=\count302
659\LTcapwidth=\dimen278
660\LT@head=\box73
661\LT@firsthead=\box74
662\LT@foot=\box75
663\LT@lastfoot=\box76
664\LT@cols=\count303
665\LT@rows=\count304
666\c@LT@tables=\count305
667\c@LT@chunks=\count306
668\LT@p@ftn=\toks43
669)
670(/usr/share/texmf-dist/tex/latex/booktabs/booktabs.sty
671Package: booktabs 2020/01/12 v1.61803398 Publication quality tables
672\heavyrulewidth=\dimen279
673\lightrulewidth=\dimen280
674\cmidrulewidth=\dimen281
675\belowrulesep=\dimen282
676\belowbottomsep=\dimen283
677\aboverulesep=\dimen284
678\abovetopsep=\dimen285
679\cmidrulesep=\dimen286
680\cmidrulekern=\dimen287
681\defaultaddspace=\dimen288
682\@cmidla=\count307
683\@cmidlb=\count308
684\@aboverulesep=\dimen289
685\@belowrulesep=\dimen290
686\@thisruleclass=\count309
687\@lastruleclass=\count310
688\@thisrulewidth=\dimen291
689)
690(/usr/share/texmf-dist/tex/latex/enumitem/enumitem.sty
691Package: enumitem 2019/06/20 v3.9 Customized lists
692\labelindent=\skip60
693\enit@outerparindent=\dimen292
694\enit@toks=\toks44
695\enit@inbox=\box77
696\enit@count@id=\count311
697\enitdp@description=\count312
698)
699(/usr/share/texmf-dist/tex/generic/ulem/ulem.sty
700\UL@box=\box78
701\UL@hyphenbox=\box79
702\UL@skip=\skip61
703\UL@hook=\toks45
704\UL@height=\dimen293
705\UL@pe=\count313
706\UL@pixel=\dimen294
707\ULC@box=\box80
708Package: ulem 2019/11/18
709\ULdepth=\dimen295
710)
711(/usr/share/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
712Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk)
713\symrsfs=\mathgroup7
714)
715\Wrappedcontinuationbox=\box81
716\Wrappedvisiblespacebox=\box82
717Package hyperref Info: Option `breaklinks' set `true' on input line 361.
718Package hyperref Info: Option `colorlinks' set `true' on input line 361.
719LaTeX Font Info: Trying to load font information for T1+ppl on input line 36
7208.
721
722(/usr/share/texmf-dist/tex/latex/psnfss/t1ppl.fd
723File: t1ppl.fd 2001/06/04 font definitions for T1/ppl.
724)
725(/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def
726File: l3backend-pdftex.def 2020-09-24 L3 backend support: PDF output (pdfTeX)
727\l__kernel_color_stack_int=\count314
728\l__pdf_internal_box=\box83
729)
730(./8-SageCalculus.aux)
731\openout1 = `8-SageCalculus.aux'.
732
733LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 368.
734LaTeX Font Info: ... okay on input line 368.
735LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 368.
736LaTeX Font Info: ... okay on input line 368.
737LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 368.
738LaTeX Font Info: ... okay on input line 368.
739LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 368.
740LaTeX Font Info: ... okay on input line 368.
741LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 368.
742LaTeX Font Info: ... okay on input line 368.
743LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 368.
744LaTeX Font Info: ... okay on input line 368.
745LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 368.
746LaTeX Font Info: ... okay on input line 368.
747LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 368.
748LaTeX Font Info: ... okay on input line 368.
749
750(/usr/share/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
751[Loading MPS to PDF converter (version 2006.09.02).]
752\scratchcounter=\count315
753\scratchdimen=\dimen296
754\scratchbox=\box84
755\nofMPsegments=\count316
756\nofMParguments=\count317
757\everyMPshowfont=\toks46
758\MPscratchCnt=\count318
759\MPscratchDim=\dimen297
760\MPnumerator=\count319
761\makeMPintoPDFobject=\count320
762\everyMPtoPDFconversion=\toks47
763) (/usr/share/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
764Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf
765Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4
76685.
767
768(/usr/share/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
769File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv
770e
771))
772Package caption Info: Begin \AtBeginDocument code.
773Package caption Info: float package is loaded.
774Package caption Info: hyperref package is loaded.
775Package caption Info: longtable package is loaded.
776
777(/usr/share/texmf-dist/tex/latex/caption/ltcaption.sty
778Package: ltcaption 2020/05/30 v1.4b longtable captions (AR)
779)
780Package caption Info: End \AtBeginDocument code.
781
782*geometry* driver: auto-detecting
783*geometry* detected driver: pdftex
784*geometry* verbose mode - [ preamble ] result:
785* driver: pdftex
786* paper: <default>
787* layout: <same size as paper>
788* layoutoffset:(h,v)=(0.0pt,0.0pt)
789* modes:
790* h-part:(L,W,R)=(72.26999pt, 469.75502pt, 72.26999pt)
791* v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt)
792* \paperwidth=614.295pt
793* \paperheight=794.96999pt
794* \textwidth=469.75502pt
795* \textheight=650.43001pt
796* \oddsidemargin=0.0pt
797* \evensidemargin=0.0pt
798* \topmargin=-37.0pt
799* \headheight=12.0pt
800* \headsep=25.0pt
801* \topskip=11.0pt
802* \footskip=30.0pt
803* \marginparwidth=59.0pt
804* \marginparsep=10.0pt
805* \columnsep=10.0pt
806* \skip\footins=10.0pt plus 4.0pt minus 2.0pt
807* \hoffset=0.0pt
808* \voffset=0.0pt
809* \mag=1000
810* \@twocolumnfalse
811* \@twosidefalse
812* \@mparswitchfalse
813* \@reversemarginfalse
814* (1in=72.27pt=25.4mm, 1cm=28.453pt)
815
816(/usr/share/texmf-dist/tex/latex/ucs/ucsencs.def
817File: ucsencs.def 2011/01/21 Fixes to fontencodings LGR, T3
818)
819Package hyperref Info: Link coloring ON on input line 368.
820
821(/usr/share/texmf-dist/tex/latex/hyperref/nameref.sty
822Package: nameref 2019/09/16 v2.46 Cross-referencing by name of section
823
824(/usr/share/texmf-dist/tex/latex/refcount/refcount.sty
825Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO)
826)
827(/usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
828Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)
829)
830\c@section@level=\count321
831)
832LaTeX Info: Redefining \ref on input line 368.
833LaTeX Info: Redefining \pageref on input line 368.
834LaTeX Info: Redefining \nameref on input line 368.
835
836(./8-SageCalculus.out) (./8-SageCalculus.out)
837\@outlinefile=\write7
838\openout7 = `8-SageCalculus.out'.
839
840LaTeX Font Info: Trying to load font information for OT1+ppl on input line 3
84170.
842
843(/usr/share/texmf-dist/tex/latex/psnfss/ot1ppl.fd
844File: ot1ppl.fd 2001/06/04 font definitions for OT1/ppl.
845)
846LaTeX Font Info: Trying to load font information for OML+zplm on input line
847370.
848
849(/usr/share/texmf-dist/tex/latex/psnfss/omlzplm.fd
850File: omlzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OML/zplm.
851)
852LaTeX Font Info: Trying to load font information for OMS+zplm on input line
853370.
854
855(/usr/share/texmf-dist/tex/latex/psnfss/omszplm.fd
856File: omszplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMS/zplm.
857)
858LaTeX Font Info: Trying to load font information for OMX+zplm on input line
859370.
860
861(/usr/share/texmf-dist/tex/latex/psnfss/omxzplm.fd
862File: omxzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMX/zplm.
863)
864LaTeX Font Info: Trying to load font information for OT1+zplm on input line
865370.
866
867(/usr/share/texmf-dist/tex/latex/psnfss/ot1zplm.fd
868File: ot1zplm.fd 2002/09/08 Fontinst v1.914 font definitions for OT1/zplm.
869)
870LaTeX Font Info: Font shape `U/msa/m/n' will be
871(Font) scaled to size 12.50409pt on input line 370.
872LaTeX Font Info: Font shape `U/msa/m/n' will be
873(Font) scaled to size 9.37807pt on input line 370.
874LaTeX Font Info: Font shape `U/msa/m/n' will be
875(Font) scaled to size 7.29405pt on input line 370.
876LaTeX Font Info: Font shape `U/msb/m/n' will be
877(Font) scaled to size 12.50409pt on input line 370.
878LaTeX Font Info: Font shape `U/msb/m/n' will be
879(Font) scaled to size 9.37807pt on input line 370.
880LaTeX Font Info: Font shape `U/msb/m/n' will be
881(Font) scaled to size 7.29405pt on input line 370.
882LaTeX Font Info: Trying to load font information for U+rsfs on input line 37
8830.
884
885(/usr/share/texmf-dist/tex/latex/jknapltx/ursfs.fd
886File: ursfs.fd 1998/03/24 rsfs font definition file (jk)
887)
888LaTeX Font Info: Trying to load font information for T1+cmtt on input line 3
88970.
890
891(/usr/share/texmf-dist/tex/latex/base/t1cmtt.fd
892File: t1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions
893)
894LaTeX Font Info: Font shape `U/msa/m/n' will be
895(Font) scaled to size 6.25204pt on input line 391.
896LaTeX Font Info: Font shape `U/msa/m/n' will be
897(Font) scaled to size 5.21004pt on input line 391.
898LaTeX Font Info: Font shape `U/msb/m/n' will be
899(Font) scaled to size 6.25204pt on input line 391.
900LaTeX Font Info: Font shape `U/msb/m/n' will be
901(Font) scaled to size 5.21004pt on input line 391.
902LaTeX Font Info: Trying to load font information for TS1+cmtt on input line
903392.
904
905(/usr/share/texmf-dist/tex/latex/base/ts1cmtt.fd
906File: ts1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions
907)
908LaTeX Font Info: Font shape `U/msa/m/n' will be
909(Font) scaled to size 11.40997pt on input line 432.
910LaTeX Font Info: Font shape `U/msa/m/n' will be
911(Font) scaled to size 8.33606pt on input line 432.
912LaTeX Font Info: Font shape `U/msb/m/n' will be
913(Font) scaled to size 11.40997pt on input line 432.
914LaTeX Font Info: Font shape `U/msb/m/n' will be
915(Font) scaled to size 8.33606pt on input line 432.
916 [1
917
918{/usr/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
919LaTeX Font Info: Font shape `T1/cmtt/bx/n' in size <10.95> not available
920(Font) Font shape `T1/cmtt/m/n' tried instead on input line 511.
921 [2]
922Underfull \hbox (badness 10000) in paragraph at lines 541--545
923[]\T1/ppl/m/n/10.95 When solv-ing a sys-tem of equa-tions (not in-equal-i-ties)
924, you can use the op-tion
925 []
926
927[3] [4] [5] [6] [7] [8] [9] [10]
928<output_75_0.png, id=190, 423.5022pt x 281.853pt>
929File: output_75_0.png Graphic file (type png)
930<use output_75_0.png>
931Package pdftex.def Info: output_75_0.png used on input line 1282.
932(pdftex.def) Requested size: 423.50114pt x 281.85231pt.
933 [11]
934Underfull \hbox (badness 10000) in paragraph at lines 1284--1285
935
936 []
937
938
939Underfull \hbox (badness 10000) in paragraph at lines 1290--1293
940[]\T1/cmtt/m/n/10.95 You can give a number of options to adjust the aspect of y
941our plot, see [][]here[][].
942 []
943
944<output_77_0.png, id=199, 426.393pt x 281.1303pt>
945File: output_77_0.png Graphic file (type png)
946<use output_77_0.png>
947Package pdftex.def Info: output_77_0.png used on input line 1311.
948(pdftex.def) Requested size: 426.39195pt x 281.12961pt.
949[12 <./output_75_0.png>]
950Underfull \hbox (badness 10000) in paragraph at lines 1313--1314
951
952 []
953
954
955Underfull \hbox (badness 10000) in paragraph at lines 1316--1321
956[]\T1/cmtt/m/n/10.95 Some of the options are not described precisely in Sage's
957documentation, but you
958 []
959
960
961Underfull \hbox (badness 10000) in paragraph at lines 1316--1321
962\T1/cmtt/m/n/10.95 can find them on [][]matplotlib's documentation[][]. You can
963 find many examples online for
964 []
965
966
967Underfull \hbox (badness 10000) in paragraph at lines 1322--1324
968[]\T1/cmtt/m/n/10.95 If you need to plot more than one object at the time, you
969can sum two plots and
970 []
971
972<output_80_0.png, id=206, 424.9476pt x 281.1303pt>
973File: output_80_0.png Graphic file (type png)
974<use output_80_0.png>
975Package pdftex.def Info: output_80_0.png used on input line 1336.
976(pdftex.def) Requested size: 424.94655pt x 281.12961pt.
977[13 <./output_77_0.png>]
978Underfull \hbox (badness 10000) in paragraph at lines 1338--1339
979
980 []
981
982
983Underfull \hbox (badness 10000) in paragraph at lines 1340--1347
984[]\T1/cmtt/m/n/10.95 Finally, there are other types of plots that you can use,
985like [][]scatter plots[][] and
986 []
987
988<output_82_0.png, id=216, 421.3341pt x 281.853pt>
989File: output_82_0.png Graphic file (type png)
990<use output_82_0.png>
991Package pdftex.def Info: output_82_0.png used on input line 1364.
992(pdftex.def) Requested size: 421.33307pt x 281.85231pt.
993[14 <./output_80_0.png>]
994Underfull \hbox (badness 10000) in paragraph at lines 1366--1367
995
996 []
997
998
999Underfull \hbox (badness 10000) in paragraph at lines 1376--1380
1000[]\T1/cmtt/m/n/10.95 When you need to work with a discrete set of data, like me
1001asurements of real-world
1002 []
1003
1004
1005Underfull \hbox (badness 10000) in paragraph at lines 1376--1380
1006\T1/cmtt/m/n/10.95 quantities, it can be useful to visualize a ``smoothed out''
1007 version of this data,
1008 []
1009
1010
1011Underfull \hbox (badness 10000) in paragraph at lines 1381--1385
1012[]\T1/cmtt/m/n/10.95 One way to do so is finding the lowest-degree polynomial t
1013hat passes through all
1014 []
1015
1016<output_84_0.png, id=225, 423.5022pt x 280.4076pt>
1017File: output_84_0.png Graphic file (type png)
1018<use output_84_0.png>
1019Package pdftex.def Info: output_84_0.png used on input line 1400.
1020(pdftex.def) Requested size: 423.50114pt x 280.4069pt.
1021[15 <./output_82_0.png>]
1022Underfull \hbox (badness 10000) in paragraph at lines 1402--1403
1023
1024 []
1025
1026
1027Underfull \hbox (badness 10000) in paragraph at lines 1404--1408
1028[]\T1/cmtt/m/n/10.95 One can compute the Lagrange Polynomial over any base ring
1029, and it has the
1030 []
1031
1032
1033Underfull \hbox (badness 10000) in paragraph at lines 1404--1408
1034\T1/cmtt/m/n/10.95 advantage that it is a very ``nice'' function (continuous an
1035d differentiable as much
1036 []
1037
1038<output_86_0.png, id=232, 424.9476pt x 281.853pt>
1039File: output_86_0.png Graphic file (type png)
1040<use output_86_0.png>
1041Package pdftex.def Info: output_86_0.png used on input line 1425.
1042(pdftex.def) Requested size: 424.94655pt x 281.85231pt.
1043[16 <./output_84_0.png>]
1044Underfull \hbox (badness 10000) in paragraph at lines 1427--1428
1045
1046 []
1047
1048
1049Underfull \hbox (badness 10000) in paragraph at lines 1429--1434
1050[]\T1/cmtt/m/n/10.95 This particular example is called [][]Runge's phenomenon[]
1051[]. For a better approximation
1052 []
1053
1054<output_88_0.png, id=240, 424.9476pt x 281.853pt>
1055File: output_88_0.png Graphic file (type png)
1056<use output_88_0.png>
1057Package pdftex.def Info: output_88_0.png used on input line 1443.
1058(pdftex.def) Requested size: 424.94655pt x 281.85231pt.
1059[17 <./output_86_0.png>]
1060Underfull \hbox (badness 10000) in paragraph at lines 1445--1446
1061
1062 []
1063
1064
1065Underfull \hbox (badness 10000) in paragraph at lines 1447--1450
1066[]\T1/cmtt/m/n/10.95 A detailed explanation of splines is a good topic for a co
1067urse of numerical
1068 []
1069
1070
1071Underfull \hbox (badness 10000) in paragraph at lines 1447--1450
1072\T1/cmtt/m/n/10.95 analysis. For this course it is enough that you know that th
1073ey exist and they
1074 []
1075
1076[18 <./output_88_0.png>] (./8-SageCalculus.aux)
1077Package rerunfilecheck Info: File `8-SageCalculus.out' has not changed.
1078(rerunfilecheck) Checksum: 07C494ECBA08A2F1E2EF17E2726357A6;1338.
1079 )
1080Here is how much of TeX's memory you used:
1081 21395 strings out of 479383
1082 389927 string characters out of 5875798
1083 723366 words of memory out of 5000000
1084 37972 multiletter control sequences out of 15000+600000
1085 442051 words of font info for 125 fonts, out of 8000000 for 9000
1086 1141 hyphenation exceptions out of 8191
1087 107i,19n,111p,507b,620s stack positions out of 5000i,500n,10000p,200000b,80000s
1088{/usr/share/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.enc}{/usr/share/
1089texmf-dist/fonts/enc/dvips/base/8r.enc}{/usr/share/texmf-dist/fonts/enc/dvips/c
1090m-super/cm-super-t1.enc}</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/c
1091mex10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></us
1092r/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texmf-d
1093ist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texmf-dist/fonts/type
10941/public/mathpazo/fplmr.pfb></usr/share/texmf-dist/fonts/type1/public/mathpazo/
1095fplmri.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfit1095.pfb></us
1096r/share/texmf-dist/fonts/type1/public/cm-super/sftt1095.pfb></usr/share/texmf-d
1097ist/fonts/type1/public/cm-super/sftt1200.pfb></usr/share/texmf-dist/fonts/type1
1098/urw/palatino/uplb8a.pfb></usr/share/texmf-dist/fonts/type1/urw/palatino/uplr8a
1099.pfb></usr/share/texmf-dist/fonts/type1/urw/palatino/uplri8a.pfb>
1100Output written on 8-SageCalculus.pdf (18 pages, 323733 bytes).
1101PDF statistics:
1102 311 PDF objects out of 1000 (max. 8388607)
1103 262 compressed objects within 3 object streams
1104 59 named destinations out of 1000 (max. 500000)
1105 200 words of extra memory for PDF output out of 10000 (max. 10000000)
1106

Generated with cgit - Back to sebastiano.tronto.net