-
Notifications
You must be signed in to change notification settings - Fork 0
/
roland.nb
7529 lines (7497 loc) · 428 KB
/
roland.nb
1
2
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
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
(* Content-type: application/mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 7.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 145, 7]
NotebookDataLength[ 438592, 7520]
NotebookOptionsPosition[ 437149, 7474]
NotebookOutlinePosition[ 437508, 7490]
CellTagsIndexPosition[ 437465, 7487]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[TextData[{
StyleBox["Given a detector with area ",
FontSlant->"Italic"],
StyleBox["A",
FontWeight->"Bold",
FontSlant->"Italic"],
StyleBox[", a square subarray with edge length ",
FontSlant->"Italic"],
StyleBox["s",
FontWeight->"Bold",
FontSlant->"Italic"],
StyleBox[", and ",
FontSlant->"Italic"],
StyleBox["\[Sigma]",
FontWeight->"Bold",
FontSlant->"Italic"],
StyleBox[" is the probability density of lengths of cosmic rays, what is the \
chance that a cosmic ray will hit the subarray given that it has hit the \
detector?",
FontSlant->"Italic"]
}], "Text",
CellChangeTimes->{{3.4954630818982677`*^9, 3.4954631630676413`*^9}, {
3.495463450508637*^9, 3.495463456202155*^9}, {3.495463815960688*^9,
3.4954638295194407`*^9}}],
Cell[TextData[{
"This is similar to ",
StyleBox["Buffon's needle",
FontSlant->"Italic"],
" in probability theory. We assume that \[Sigma] is discrete. The \
probability is given by:"
}], "Text",
CellChangeTimes->{{3.495463201974737*^9, 3.495463299852623*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"P", "[",
RowBox[{"A_", ",", "s_", ",", "\[Sigma]_", ",",
RowBox[{"{",
RowBox[{"l_", ",", "u_"}], "}"}]}], "]"}], ":=",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"x", "=", "l"}], "u"],
RowBox[{
RowBox[{"\[Rho]", "[",
RowBox[{"x", ",", "A", ",", "s"}], "]"}], " ",
RowBox[{"\[Sigma]", "[", "x", "]"}]}]}]}]], "Input",
CellChangeTimes->{{3.4954633013440638`*^9, 3.495463370789176*^9}}],
Cell[TextData[{
"Here \[Rho] gives the probability that a cosmic ray of length ",
StyleBox["x",
FontSlant->"Italic"],
" will fall in the subarray. Bounds are given by ",
StyleBox["l",
FontSlant->"Italic"],
" and ",
StyleBox["u",
FontSlant->"Italic"],
" and are supplied by the user. We may break \[Rho] up into (1) the \
probability that a given cosmic ray will be in reach the subarray regardless \
of orientation and (2) the likelihood it will hit the subarray given that it \
is possible to be detected. Hence:"
}], "Text",
CellChangeTimes->{{3.4954633832426977`*^9, 3.495463585487612*^9}, {
3.495463718391955*^9, 3.495463734360197*^9}, {3.495465836094591*^9,
3.495465855374338*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"\[Rho]", "[",
RowBox[{"x_", ",", "A_", ",", "s_"}], "]"}], ":=",
RowBox[{
RowBox[{"\[Rho]1", "[",
RowBox[{"x", ",", "A", ",", "s"}], "]"}], " ",
RowBox[{"\[Rho]2", "[",
RowBox[{"x", ",", "s"}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.495463589210535*^9, 3.495463612103791*^9}, {
3.495465018937855*^9, 3.4954650190721083`*^9}}],
Cell["\<\
Here is a depiction of the area where it is possible to detect a cosmic ray:\
\>", "Text",
CellChangeTimes->{{3.495463626651567*^9, 3.49546363223991*^9}, {
3.495463841845416*^9, 3.49546387162236*^9}, {3.495464838826209*^9,
3.4954648612345552`*^9}}],
Cell[BoxData[
GraphicsBox[
TagBox[RasterBox[CompressedData["
1:eJzs3V2S20i3HVDILx6Hp+QIT8AT8PzfHC11i0USBBNA/uwE1oq4EberS8XE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"], {{0, 1877}, {1877, 0}}, {0, 1},
ColorFunction->GrayLevel],
BoxForm`ImageTag[
"Bit", ColorSpace -> Automatic, ImageSize -> Automatic, Interleaving ->
None, Magnification -> Automatic],
Selectable->False],
BaseStyle->"ImageGraphics",
ImageSize->Automatic,
ImageSizeRaw->{1877, 1877},
PlotRange->{{0, 1877}, {0, 1877}}]], "Output",
CellChangeTimes->{{3.4954640800497513`*^9, 3.495464103595399*^9},
3.495464137897339*^9, {3.495464491030093*^9, 3.4954644962185926`*^9},
3.495464539923336*^9, 3.4954646647345047`*^9, {3.495464760295731*^9,
3.495464806927628*^9}},
ImageCache->GraphicsData["CompressedBitmap", "\<\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