ViewVC Help
View File | Revision Log | Show Annotations | View Changeset | Root Listing
root/group/trunk/nonperiodicVSS/friction.nb
Revision: 3947
Committed: Fri Sep 6 13:09:47 2013 UTC (11 years ago) by kstocke1
File size: 16787 byte(s)
Log Message:

File Contents

# User Rev Content
1 kstocke1 3933 (* Content-type: application/vnd.wolfram.mathematica *)
2    
3     (*** Wolfram Notebook File ***)
4     (* http://www.wolfram.com/nb *)
5    
6     (* CreatedBy='Mathematica 8.0' *)
7    
8     (*CacheID: 234*)
9     (* Internal cache information:
10     NotebookFileLineBreakTest
11     NotebookFileLineBreakTest
12     NotebookDataPosition[ 157, 7]
13 kstocke1 3947 NotebookDataLength[ 16589, 465]
14     NotebookOptionsPosition[ 14982, 408]
15     NotebookOutlinePosition[ 15336, 424]
16     CellTagsIndexPosition[ 15293, 421]
17 kstocke1 3933 WindowFrame->Normal*)
18    
19     (* Beginning of Notebook Content *)
20     Notebook[{
21 kstocke1 3943 Cell[BoxData[
22 kstocke1 3933 RowBox[{
23 kstocke1 3943 RowBox[{"(*", " ",
24     RowBox[{"a", ",", " ", "b", ",", " ",
25     RowBox[{"r", " ", "in", " ", "units", " ", "of", " ", "meters"}]}], " ",
26     "*)"}], "\[IndentingNewLine]",
27     RowBox[{
28     RowBox[{
29     RowBox[{"a", " ", "=", " ", "0.0000000033"}], ";"}],
30     "\[IndentingNewLine]",
31     RowBox[{
32     RowBox[{"b", " ", "=", " ", "0.0000000013"}], ";"}],
33     "\[IndentingNewLine]",
34     RowBox[{
35     RowBox[{"r", " ", "=", " ", "0.0000000040"}], ";"}],
36     "\[IndentingNewLine]",
37     RowBox[{"(*", " ",
38 kstocke1 3933 RowBox[{
39 kstocke1 3943 "eta", " ", "in", " ", "units", " ", "of", " ", "Pa", "*", "s", " ", "or",
40     " ", "N", "*",
41     RowBox[{"s", "/",
42     RowBox[{"m", "^", "2"}]}]}], " ", "*)"}], "\[IndentingNewLine]",
43     RowBox[{
44 kstocke1 3947 RowBox[{"eta", " ", "=", " ", "0.000305"}], ";"}], "\n",
45 kstocke1 3943 RowBox[{
46     RowBox[{"ab", " ", "=", " ",
47     RowBox[{"Sqrt", "[",
48     RowBox[{
49     RowBox[{"(",
50     RowBox[{"a", "^", "2"}], ")"}], "-",
51     RowBox[{"(",
52     RowBox[{"b", "^", "2"}], ")"}]}], "]"}]}], ";"}],
53     "\[IndentingNewLine]",
54     RowBox[{
55     RowBox[{"v", " ", "=", " ",
56     RowBox[{"32", "*", "Pi", "*",
57     RowBox[{"eta", "/", "3"}]}]}], ";"}]}]}]], "Input",
58 kstocke1 3933 CellChangeTimes->{{3.584807426161751*^9, 3.584807453166168*^9}, {
59     3.5848098994271517`*^9, 3.58480990098132*^9}, {3.584890669262165*^9,
60     3.5848906732045937`*^9}, 3.5848942046023273`*^9, 3.5848942364960403`*^9, {
61     3.584894394914665*^9, 3.584894407017727*^9}, {3.584894867879013*^9,
62 kstocke1 3943 3.5848948703643208`*^9}, {3.584895906363385*^9, 3.584895906913582*^9}, {
63     3.586699807267563*^9, 3.586699811802783*^9}, {3.5867045314674397`*^9,
64     3.586704560779134*^9}, {3.586704640818076*^9, 3.586704681909463*^9}, {
65     3.5867047559862347`*^9, 3.586704766892249*^9}, {3.586704828026332*^9,
66     3.586704834460175*^9}, {3.586705096638748*^9, 3.586705109311314*^9}, {
67 kstocke1 3947 3.586706477114703*^9, 3.58670647750175*^9}, {3.587302011140431*^9,
68     3.5873020120979347`*^9}}],
69 kstocke1 3933
70     Cell[BoxData[
71     RowBox[{"\[IndentingNewLine]",
72     RowBox[{"(*", " ",
73     RowBox[{"RESISTANCE", " ", "TENSORS"}], " ", "*)"}]}]], "Input",
74     CellChangeTimes->{{3.5848081048411083`*^9, 3.584808114547517*^9}}],
75    
76     Cell[BoxData[
77     RowBox[{"(*", " ",
78     RowBox[{"sphere", " ", "rotation"}], " ", "*)"}]], "Input",
79     CellChangeTimes->{{3.5848955452222424`*^9, 3.584895552580024*^9}}],
80    
81     Cell[CellGroupData[{
82    
83     Cell[BoxData[
84     RowBox[{"XiS", " ", "=", " ",
85     RowBox[{"8.", "*", "Pi", "*", "eta", "*",
86     RowBox[{"(",
87     RowBox[{"r", "^", "3"}], ")"}]}]}]], "Input",
88     CellChangeTimes->{{3.584895562690569*^9, 3.584895581538089*^9}}],
89    
90 kstocke1 3947 Cell[BoxData["4.905911087845821`*^-28"], "Output",
91 kstocke1 3943 CellChangeTimes->{3.5848955833332977`*^9, 3.584895910460045*^9,
92     3.586699817892194*^9, 3.586704684940571*^9, 3.586704772274445*^9,
93 kstocke1 3947 3.586704844305737*^9, 3.586705113459869*^9, 3.586706480803813*^9,
94     3.5873020194381523`*^9}]
95 kstocke1 3933 }, Open ]],
96    
97     Cell[BoxData[
98     RowBox[{
99     RowBox[{"S", " ", "=", " ",
100     RowBox[{
101     RowBox[{"(",
102     RowBox[{"2", "/", "ab"}], ")"}], "*",
103     RowBox[{"Log", "[",
104     RowBox[{
105     RowBox[{"(",
106     RowBox[{"a", "+", "ab"}], ")"}], "/", "b"}], "]"}]}]}], ";"}]], "Input",\
107    
108     CellChangeTimes->{{3.584895591890572*^9, 3.584895628889739*^9}}],
109    
110     Cell[BoxData[
111     RowBox[{"(*", " ",
112     RowBox[{"ellipsoid", " ", "axial", " ",
113     RowBox[{"rotation", " ", "--"}], " ", "about", " ", "long", " ", "axis"}],
114     " ", "*)"}]], "Input",
115     CellChangeTimes->{{3.584807845501628*^9, 3.584807881963066*^9},
116     3.58480810065349*^9, {3.584810005255805*^9, 3.584810006597301*^9}}],
117    
118     Cell[BoxData[{
119     RowBox[{
120     RowBox[{"nXiA", " ", "=", " ",
121     RowBox[{
122     RowBox[{"(",
123     RowBox[{"ab", "^", "2"}], ")"}], "*",
124     RowBox[{"(",
125     RowBox[{"b", "^", "2"}], ")"}]}]}], ";"}], "\[IndentingNewLine]",
126     RowBox[{
127     RowBox[{"dXiA", " ", "=", " ",
128     RowBox[{"(",
129     RowBox[{
130     RowBox[{"2", "*", "a"}], " ", "-", " ",
131     RowBox[{
132     RowBox[{"(",
133     RowBox[{"b", "^", "2"}], ")"}], "*", "S"}]}], ")"}]}], ";"}]}], "Input",\
134    
135     CellChangeTimes->{{3.584894479745336*^9, 3.584894547193737*^9}}],
136    
137     Cell[CellGroupData[{
138    
139     Cell[BoxData[
140     RowBox[{"XiA", " ", "=", " ",
141     RowBox[{"v", " ", "*",
142     RowBox[{"(", " ",
143     RowBox[{"nXiA", "/", "dXiA"}], ")"}]}]}]], "Input",
144     CellChangeTimes->{{3.584807580926756*^9, 3.5848076774271517`*^9}, {
145     3.584893446441492*^9, 3.584893456926993*^9}, {3.584893513019639*^9,
146     3.5848935374433117`*^9}, {3.5848937295629377`*^9, 3.5848937320361967`*^9}, {
147     3.5848940598863373`*^9, 3.5848940827349033`*^9}, {3.584894124697816*^9,
148     3.584894131830501*^9}, {3.5848944118465767`*^9, 3.584894413689575*^9}, {
149     3.584894553484161*^9, 3.5848945620889597`*^9}}],
150    
151 kstocke1 3947 Cell[BoxData["3.286335727454394`*^-29"], "Output",
152 kstocke1 3933 CellChangeTimes->{
153     3.58480767838589*^9, 3.584812369332225*^9, 3.58489067890679*^9,
154     3.584893466947144*^9, {3.584893515809536*^9, 3.5848935380765*^9},
155     3.584893667613534*^9, 3.584893745846806*^9, 3.584893991496749*^9, {
156     3.5848940686270847`*^9, 3.584894083689426*^9}, 3.584894132885084*^9,
157     3.584894209263301*^9, 3.5848944220659027`*^9, 3.584894562584774*^9,
158 kstocke1 3943 3.5848956426941223`*^9, 3.584895912816411*^9, 3.586699824159266*^9,
159     3.586704688787434*^9, 3.5867047762806807`*^9, 3.58670484784446*^9,
160 kstocke1 3947 3.586705115994009*^9, 3.586706483628399*^9, 3.587302022625839*^9}]
161 kstocke1 3933 }, Open ]],
162    
163     Cell[BoxData[
164     RowBox[{"\[IndentingNewLine]",
165     RowBox[{"(*", " ",
166     RowBox[{"ellipsoid", " ", "equatorial", " ",
167     RowBox[{"rotation", " ", "--"}], " ", "about", " ", "short", " ",
168     "axes"}], " ", "*)"}]}]], "Input",
169     CellChangeTimes->{{3.5848078641082973`*^9, 3.584807887971993*^9}, {
170     3.584810008477813*^9, 3.58481001069223*^9}}],
171    
172     Cell[BoxData[{
173     RowBox[{
174     RowBox[{"nXiB", " ", "=", " ",
175     RowBox[{
176     RowBox[{"(",
177     RowBox[{"a", "^", "4"}], ")"}], "-",
178     RowBox[{"(",
179     RowBox[{"b", "^", "4"}], ")"}]}]}], ";"}], "\[IndentingNewLine]",
180     RowBox[{
181     RowBox[{"dXiB", " ", "=", " ",
182     RowBox[{
183     RowBox[{
184     RowBox[{"(",
185     RowBox[{
186     RowBox[{"2", "*",
187     RowBox[{"(",
188     RowBox[{"a", "^", "2"}], ")"}]}], "-",
189     RowBox[{"(",
190     RowBox[{"b", "^", "2"}], ")"}]}], ")"}], "*", "S"}], " ", "-", " ",
191     RowBox[{"(",
192     RowBox[{"2", "*", "a"}], ")"}]}]}], ";"}]}], "Input",
193     CellChangeTimes->{{3.584894566445219*^9, 3.5848945876718807`*^9}, {
194     3.5848946888115788`*^9, 3.5848947150455017`*^9}}],
195    
196     Cell[CellGroupData[{
197    
198     Cell[BoxData[
199     RowBox[{"XiB", " ", "=", " ",
200     RowBox[{"v", " ", "*", " ",
201     RowBox[{"(",
202     RowBox[{"nXiB", "/", "dXiB"}], ")"}]}]}]], "Input",
203     CellChangeTimes->{{3.584807667200397*^9, 3.5848076699441557`*^9}, {
204     3.5848077499771643`*^9, 3.584807786900511*^9}, {3.584893547107358*^9,
205     3.584893579226317*^9}, {3.58489389632187*^9, 3.584893901176014*^9}, {
206     3.584893943459343*^9, 3.584893946518909*^9}, {3.584894088000602*^9,
207     3.5848941203441153`*^9}, 3.5848944172115498`*^9, {3.584894722257359*^9,
208     3.584894733911747*^9}}],
209    
210 kstocke1 3947 Cell[BoxData["8.228464473085094`*^-29"], "Output",
211 kstocke1 3933 CellChangeTimes->{
212     3.584807788832862*^9, 3.584812370076736*^9, 3.5848906801945047`*^9,
213     3.5848935801190357`*^9, 3.5848936688170233`*^9, 3.5848939033674097`*^9, {
214     3.58489396555275*^9, 3.584893992584134*^9}, 3.5848940700482283`*^9, {
215     3.584894103054511*^9, 3.584894120965992*^9}, 3.584894210383068*^9,
216     3.584894423252715*^9, 3.584894734499061*^9, 3.58489564491859*^9,
217 kstocke1 3943 3.584895914221643*^9, 3.5866998271353817`*^9, 3.586704693130818*^9,
218     3.586704778769905*^9, 3.586704850366987*^9, 3.586705118085232*^9,
219 kstocke1 3947 3.586706485967189*^9, 3.587302024980714*^9}]
220 kstocke1 3933 }, Open ]],
221    
222     Cell[BoxData["\[IndentingNewLine]"], "Input",
223     CellChangeTimes->{3.584887428382176*^9, 3.584891660811152*^9}],
224    
225     Cell[BoxData[
226     RowBox[{"\[IndentingNewLine]",
227     RowBox[{"(*", " ",
228     RowBox[{"FRICTION", " ", "FACTORS", " ", "via", " ", "Wikipedia"}], " ",
229     "*)"}]}]], "Input",
230     CellChangeTimes->{{3.584887434985119*^9, 3.58488743942144*^9}, {
231     3.5848907429833384`*^9, 3.584890746521543*^9}}],
232    
233     Cell[BoxData[{
234     RowBox[{
235     RowBox[{"xi", " ", "=",
236     RowBox[{
237     RowBox[{"Sqrt", "[",
238     RowBox[{
239     RowBox[{"(",
240     RowBox[{"p", "^", "2"}], ")"}], "-", "1"}], "]"}], "/", "p"}]}],
241     ";"}], "\[IndentingNewLine]",
242     RowBox[{
243     RowBox[{"s", " ", "=", " ",
244     RowBox[{"2", "*",
245     RowBox[{
246     RowBox[{"ArcTanh", "[", "xi", "]"}], "/", "xi"}]}]}],
247     ";"}], "\[IndentingNewLine]",
248     RowBox[{
249     RowBox[{"p", " ", "=", " ",
250     RowBox[{"a", "/", "b"}]}], ";"}], "\[IndentingNewLine]",
251     RowBox[{
252     RowBox[{"re", " ", "=", " ",
253     RowBox[{
254     RowBox[{"(",
255     RowBox[{"a", "*",
256     RowBox[{"(",
257     RowBox[{"b", "^", "2"}], ")"}]}], ")"}], "^",
258     RowBox[{"(",
259     RowBox[{"1", "/", "3"}], ")"}]}]}], ";"}], "\[IndentingNewLine]",
260     RowBox[{
261     RowBox[{"eqSphere", " ", "=", " ",
262     RowBox[{"8", "*", "Pi", "*", "eta", "*",
263     RowBox[{"(",
264     RowBox[{"re", "^", "3"}], ")"}]}]}], ";"}]}], "Input",
265     CellChangeTimes->{{3.584887453255073*^9, 3.584887474611525*^9}, {
266     3.584887518352754*^9, 3.5848875201183167`*^9}, {3.5848875705654163`*^9,
267     3.584887612684559*^9}, {3.584891207938551*^9, 3.5848912105877657`*^9}, {
268     3.58489477575947*^9, 3.584894789206271*^9}, {3.5848948909071417`*^9,
269     3.5848949045983353`*^9}, {3.584895894748207*^9, 3.58489594161933*^9}, {
270     3.584895989916945*^9, 3.584896035299241*^9}}],
271    
272     Cell[BoxData[""], "Input",
273     CellChangeTimes->{{3.5848876347988167`*^9, 3.584887638277546*^9}}],
274    
275     Cell[BoxData[
276     RowBox[{"(*", " ",
277     RowBox[{"ellipsoid", " ", "axial", " ", "friction", " ",
278     RowBox[{"factor", " ", "--"}], " ", "about", " ", "long", " ", "axis"}],
279     " ", "*)"}]], "Input",
280     CellChangeTimes->{{3.58488764265452*^9, 3.584887652272901*^9}, {
281     3.58489128903328*^9, 3.5848912914194727`*^9}}],
282    
283     Cell[CellGroupData[{
284    
285     Cell[BoxData[
286     RowBox[{"Fax", " ", "=", " ",
287     RowBox[{
288     RowBox[{"(",
289     RowBox[{"4", "/", "3"}], ")"}], "*",
290     RowBox[{
291     RowBox[{"(",
292     RowBox[{"xi", "^", "2"}], ")"}], "/",
293     RowBox[{"(",
294     RowBox[{"2", "-",
295     RowBox[{"(",
296     RowBox[{"s", "/",
297     RowBox[{"(",
298     RowBox[{"p", "^", "2"}], ")"}]}], ")"}]}], ")"}]}]}]}]], "Input",
299     CellChangeTimes->{{3.58488765759788*^9, 3.584887700018955*^9}, {
300     3.5848879174727783`*^9, 3.584887938981941*^9}, {3.584890603482909*^9,
301     3.5848906063233852`*^9}, 3.584890946638309*^9, {3.584894926277274*^9,
302     3.584894983989938*^9}}],
303    
304     Cell[BoxData["0.7687260259259584`"], "Output",
305     CellChangeTimes->{
306     3.58488770586084*^9, {3.58488792206218*^9, 3.584887939492504*^9},
307     3.584890608261299*^9, 3.5848906924156*^9, 3.584890948261269*^9,
308     3.584891214003551*^9, 3.584893997414321*^9, 3.584894794095375*^9,
309     3.5848948750854387`*^9, 3.584894906946406*^9, {3.584894984628289*^9,
310 kstocke1 3943 3.5848950094024963`*^9}, 3.584895649579417*^9, 3.5848960393110647`*^9,
311     3.586699830645979*^9, 3.5867046965751457`*^9, 3.58670478211369*^9,
312 kstocke1 3947 3.58670485421113*^9, 3.586705120876774*^9, 3.586706489578327*^9,
313     3.587302029126953*^9}]
314 kstocke1 3933 }, Open ]],
315    
316     Cell[BoxData[
317     RowBox[{"\n",
318     RowBox[{"(*", " ",
319     RowBox[{"ellipsoid", " ", "equatorial", " ", "friction", " ",
320     RowBox[{"factor", " ", "--"}], " ", "about", " ", "short", " ", "axes"}],
321     " ", "*)"}]}]], "Input",
322     CellChangeTimes->{{3.584887710741127*^9, 3.584887713271037*^9},
323     3.584887813383315*^9, {3.584891294243541*^9, 3.5848912960435057`*^9}}],
324    
325     Cell[CellGroupData[{
326    
327     Cell[BoxData[
328     RowBox[{"Feq", " ", "=", " ",
329     RowBox[{
330     RowBox[{"(",
331     RowBox[{"4", "/", "3"}], ")"}], " ", "*", " ",
332     RowBox[{
333     RowBox[{"(",
334     RowBox[{
335     RowBox[{
336     RowBox[{"(",
337     RowBox[{"1", "/", "p"}], ")"}], "^", "2"}], " ", "-", " ",
338     RowBox[{"p", "^", "2"}]}], ")"}], "/",
339     RowBox[{"(",
340     RowBox[{"2", " ", "-", " ",
341     RowBox[{"s", "*",
342     RowBox[{"(",
343     RowBox[{"2", " ", "-", " ",
344     RowBox[{
345     RowBox[{"(",
346     RowBox[{"1", "/", "p"}], ")"}], "^", "2"}]}], ")"}]}]}],
347     ")"}]}]}]}]], "Input",
348     CellChangeTimes->{{3.584887727157157*^9, 3.584887769116691*^9}, {
349     3.584887926989279*^9, 3.584887942885796*^9}, {3.584890609957733*^9,
350     3.584890611532776*^9}, 3.584890951791182*^9}],
351    
352 kstocke1 3943 Cell[BoxData["1.924768288590935`"], "Output",
353 kstocke1 3933 CellChangeTimes->{
354     3.5848877700852623`*^9, {3.584887929629698*^9, 3.5848879434378977`*^9},
355     3.584890612056086*^9, 3.5848906935323477`*^9, 3.584890952137286*^9,
356     3.584891216311064*^9, 3.584893998534431*^9, 3.584894876538658*^9,
357 kstocke1 3943 3.5848950109231567`*^9, 3.584895650617403*^9, 3.584896040714982*^9,
358     3.5866998334559813`*^9, 3.586704697863037*^9, 3.5867047835855827`*^9,
359 kstocke1 3947 3.586704856869244*^9, 3.586705122378854*^9, 3.5867064906482763`*^9,
360     3.587302031033265*^9}]
361 kstocke1 3933 }, Open ]],
362    
363     Cell[BoxData[
364     RowBox[{"\[IndentingNewLine]",
365     RowBox[{"(*", " ",
366     RowBox[{"ellipsoid", " ", "axial", " ", "rotational", " ", "friction"}],
367     " ", "*)"}]}]], "Input",
368     CellChangeTimes->{{3.58489104521352*^9, 3.584891053491618*^9}, {
369     3.584891299813236*^9, 3.5848913004309483`*^9}}],
370    
371     Cell[CellGroupData[{
372    
373     Cell[BoxData[
374     RowBox[{"fAx", " ", "=", " ",
375     RowBox[{"Fax", " ", "*", " ", "eqSphere"}]}]], "Input",
376     CellChangeTimes->{{3.584891056631095*^9, 3.584891064865149*^9}}],
377    
378 kstocke1 3947 Cell[BoxData["3.2863357274544055`*^-29"], "Output",
379 kstocke1 3933 CellChangeTimes->{3.5848910656263733`*^9, 3.584891217398337*^9,
380     3.58489400012298*^9, 3.584895019483296*^9, 3.584895652455336*^9,
381 kstocke1 3943 3.584896042503642*^9, 3.586699834607826*^9, 3.586704699166651*^9,
382     3.586704785006289*^9, 3.586704858291555*^9, 3.5867051235852127`*^9,
383 kstocke1 3947 3.586706492338463*^9, 3.5873020329225597`*^9}]
384 kstocke1 3933 }, Open ]],
385    
386     Cell[BoxData[
387     RowBox[{"(*", " ",
388     RowBox[{
389     "ellipsoid", " ", "equatorial", " ", "rotational", " ", "friction"}], " ",
390     "*)"}]], "Input",
391     CellChangeTimes->{{3.5848910141246853`*^9, 3.584891022193733*^9}, {
392     3.5848913017358427`*^9, 3.5848913022309103`*^9}}],
393    
394     Cell[CellGroupData[{
395    
396     Cell[BoxData[
397     RowBox[{"fEq", " ", "=", " ",
398     RowBox[{"Feq", " ", "*", " ", "eqSphere"}]}]], "Input",
399     CellChangeTimes->{{3.584891025068652*^9, 3.584891029821259*^9}}],
400    
401 kstocke1 3947 Cell[BoxData["8.228464473085123`*^-29"], "Output",
402 kstocke1 3933 CellChangeTimes->{3.584891030572219*^9, 3.584891218233328*^9,
403     3.584894001208784*^9, 3.584895020435354*^9, 3.584895653375164*^9,
404 kstocke1 3943 3.58489604404213*^9, 3.5866998356785097`*^9, 3.586704701890503*^9,
405     3.5867047871298437`*^9, 3.586704859378227*^9, 3.586705125437768*^9,
406 kstocke1 3947 3.586706494141871*^9, 3.587302037451337*^9}]
407 kstocke1 3933 }, Open ]]
408     },
409     WindowSize->{740, 876},
410 kstocke1 3947 WindowMargins->{{Automatic, 110}, {12, Automatic}},
411 kstocke1 3933 FrontEndVersion->"8.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (July 22, \
412     2012)",
413     StyleDefinitions->"Default.nb"
414     ]
415     (* End of Notebook Content *)
416    
417     (* Internal cache information *)
418     (*CellTagsOutline
419     CellTagsIndex->{}
420     *)
421     (*CellTagsIndex
422     CellTagsIndex->{}
423     *)
424     (*NotebookFileOutline
425     Notebook[{
426 kstocke1 3947 Cell[557, 20, 1972, 47, 133, "Input"],
427     Cell[2532, 69, 204, 4, 43, "Input"],
428     Cell[2739, 75, 164, 3, 27, "Input"],
429 kstocke1 3933 Cell[CellGroupData[{
430 kstocke1 3947 Cell[2928, 82, 223, 5, 27, "Input"],
431     Cell[3154, 89, 281, 4, 30, "Output"]
432 kstocke1 3933 }, Open ]],
433 kstocke1 3947 Cell[3450, 96, 335, 11, 27, "Input"],
434     Cell[3788, 109, 318, 6, 27, "Input"],
435     Cell[4109, 117, 524, 17, 43, "Input"],
436 kstocke1 3933 Cell[CellGroupData[{
437 kstocke1 3947 Cell[4658, 138, 568, 10, 27, "Input"],
438     Cell[5229, 150, 636, 9, 30, "Output"]
439 kstocke1 3933 }, Open ]],
440 kstocke1 3947 Cell[5880, 162, 343, 7, 43, "Input"],
441     Cell[6226, 171, 717, 22, 43, "Input"],
442 kstocke1 3933 Cell[CellGroupData[{
443 kstocke1 3947 Cell[6968, 197, 540, 10, 27, "Input"],
444     Cell[7511, 209, 621, 9, 30, "Output"]
445 kstocke1 3933 }, Open ]],
446 kstocke1 3947 Cell[8147, 221, 109, 1, 43, "Input"],
447     Cell[8259, 224, 284, 6, 43, "Input"],
448     Cell[8546, 232, 1342, 37, 88, "Input"],
449     Cell[9891, 271, 94, 1, 27, "Input"],
450     Cell[9988, 274, 311, 6, 27, "Input"],
451 kstocke1 3933 Cell[CellGroupData[{
452 kstocke1 3947 Cell[10324, 284, 615, 17, 27, "Input"],
453     Cell[10942, 303, 587, 9, 27, "Output"]
454 kstocke1 3933 }, Open ]],
455 kstocke1 3947 Cell[11544, 315, 364, 7, 43, "Input"],
456 kstocke1 3933 Cell[CellGroupData[{
457 kstocke1 3947 Cell[11933, 326, 782, 23, 27, "Input"],
458     Cell[12718, 351, 526, 8, 27, "Output"]
459 kstocke1 3933 }, Open ]],
460 kstocke1 3947 Cell[13259, 362, 289, 6, 43, "Input"],
461 kstocke1 3933 Cell[CellGroupData[{
462 kstocke1 3947 Cell[13573, 372, 169, 3, 27, "Input"],
463     Cell[13745, 377, 374, 5, 30, "Output"]
464 kstocke1 3933 }, Open ]],
465 kstocke1 3947 Cell[14134, 385, 264, 6, 27, "Input"],
466 kstocke1 3933 Cell[CellGroupData[{
467 kstocke1 3947 Cell[14423, 395, 169, 3, 27, "Input"],
468     Cell[14595, 400, 371, 5, 30, "Output"]
469 kstocke1 3933 }, Open ]]
470     }
471     ]
472     *)
473    
474     (* End of internal cache information *)