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
|
<!-- tex4ht_begin mini_ker_tex4ht_math math 1 -->
η
<!-- tex4ht_end mini_ker_tex4ht_math math 1 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 2 -->
φ
<!-- tex4ht_end mini_ker_tex4ht_math math 2 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 3 -->
t
<!-- tex4ht_end mini_ker_tex4ht_math math 3 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 4 -->
t + δt
<!-- tex4ht_end mini_ker_tex4ht_math math 4 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 5 -->
δη
<!-- tex4ht_end mini_ker_tex4ht_math math 5 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 6 -->
η
<!-- tex4ht_end mini_ker_tex4ht_math math 6 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 7 -->
δφ
<!-- tex4ht_end mini_ker_tex4ht_math math 7 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 8 -->
φ
<!-- tex4ht_end mini_ker_tex4ht_math math 8 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 9 -->
f
<!-- tex4ht_end mini_ker_tex4ht_math math 9 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 10 -->
g
<!-- tex4ht_end mini_ker_tex4ht_math math 10 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 11 -->
δt
<!-- tex4ht_end mini_ker_tex4ht_math math 11 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 12 -->
δη
<!-- tex4ht_end mini_ker_tex4ht_math math 12 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 13 -->
δφ
<!-- tex4ht_end mini_ker_tex4ht_math math 13 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 14 -->
δφ
<!-- tex4ht_end mini_ker_tex4ht_math math 14 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 15 -->
δη
<!-- tex4ht_end mini_ker_tex4ht_math math 15 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 16 -->
a
<!-- tex4ht_end mini_ker_tex4ht_math math 16 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 17 -->
c
<!-- tex4ht_end mini_ker_tex4ht_math math 17 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 18 -->
φmeet
<!-- tex4ht_end mini_ker_tex4ht_math math 18 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 19 -->
ηprey
<!-- tex4ht_end mini_ker_tex4ht_math math 19 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 20 -->
ηpred
<!-- tex4ht_end mini_ker_tex4ht_math math 20 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 21 -->
φ
<!-- tex4ht_end mini_ker_tex4ht_math math 21 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 22 -->
δη
<!-- tex4ht_end mini_ker_tex4ht_math math 22 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 23 -->
φ
<!-- tex4ht_end mini_ker_tex4ht_math math 23 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 24 -->
φ = f(η(t - dt) + dφ
<!-- tex4ht_end mini_ker_tex4ht_math math 24 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 25 -->
dφ
<!-- tex4ht_end mini_ker_tex4ht_math math 25 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 26 -->
φ = f(η),φ)
<!-- tex4ht_end mini_ker_tex4ht_math math 26 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 27 -->
10-3
<!-- tex4ht_end mini_ker_tex4ht_math math 27 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 28 -->
(I - D)
<!-- tex4ht_end mini_ker_tex4ht_math math 28 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 29 -->
(I - D)
<!-- tex4ht_end mini_ker_tex4ht_math math 29 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 30 -->
(I - D)
<!-- tex4ht_end mini_ker_tex4ht_math math 30 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 31 -->
k
<!-- tex4ht_end mini_ker_tex4ht_math math 31 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 32 -->
mk
<!-- tex4ht_end mini_ker_tex4ht_math math 32 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 33 -->
k
<!-- tex4ht_end mini_ker_tex4ht_math math 33 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 34 -->
rk
<!-- tex4ht_end mini_ker_tex4ht_math math 34 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 35 -->
dk
<!-- tex4ht_end mini_ker_tex4ht_math math 35 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 36 -->
N
<!-- tex4ht_end mini_ker_tex4ht_math math 36 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 37 -->
N
<!-- tex4ht_end mini_ker_tex4ht_math math 37 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 38 -->
N + 1
<!-- tex4ht_end mini_ker_tex4ht_math math 38 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 39 -->
N + 1
<!-- tex4ht_end mini_ker_tex4ht_math math 39 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 40 -->
k
<!-- tex4ht_end mini_ker_tex4ht_math math 40 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 41 -->
k
<!-- tex4ht_end mini_ker_tex4ht_math math 41 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 42 -->
x∕Δ
<!-- tex4ht_end mini_ker_tex4ht_math math 42 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 43 -->
ω
<!-- tex4ht_end mini_ker_tex4ht_math math 43 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 44 -->
h
<!-- tex4ht_end mini_ker_tex4ht_math math 44 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 45 -->
φmeet
<!-- tex4ht_end mini_ker_tex4ht_math math 45 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 46 -->
ηprey
<!-- tex4ht_end mini_ker_tex4ht_math math 46 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 47 -->
ηpred
<!-- tex4ht_end mini_ker_tex4ht_math math 47 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 48 -->
η1(t)
<!-- tex4ht_end mini_ker_tex4ht_math math 48 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 49 -->
η1(t = 0)
<!-- tex4ht_end mini_ker_tex4ht_math math 49 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 50 -->
t = 0
<!-- tex4ht_end mini_ker_tex4ht_math math 50 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 51 -->
ϕj(t)
<!-- tex4ht_end mini_ker_tex4ht_math math 51 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 52 -->
ηi(t = 0)
<!-- tex4ht_end mini_ker_tex4ht_math math 52 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 53 -->
h(t)
<!-- tex4ht_end mini_ker_tex4ht_math math 53 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 54 -->
J
<!-- tex4ht_end mini_ker_tex4ht_math math 54 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 55 -->
T
<!-- tex4ht_end mini_ker_tex4ht_math math 55 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 56 -->
J
<!-- tex4ht_end mini_ker_tex4ht_math math 56 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 57 -->
ψ
<!-- tex4ht_end mini_ker_tex4ht_math math 57 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 58 -->
l
<!-- tex4ht_end mini_ker_tex4ht_math math 58 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 59 -->
h
<!-- tex4ht_end mini_ker_tex4ht_math math 59 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 60 -->
J
<!-- tex4ht_end mini_ker_tex4ht_math math 60 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 61 -->
t = 0
<!-- tex4ht_end mini_ker_tex4ht_math math 61 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 62 -->
ω
<!-- tex4ht_end mini_ker_tex4ht_math math 62 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 63 -->
t = si
<!-- tex4ht_end mini_ker_tex4ht_math math 63 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 64 -->
μ
<!-- tex4ht_end mini_ker_tex4ht_math math 64 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 65 -->
Q
<!-- tex4ht_end mini_ker_tex4ht_math math 65 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 66 -->
ν
<!-- tex4ht_end mini_ker_tex4ht_math math 66 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 67 -->
R
<!-- tex4ht_end mini_ker_tex4ht_math math 67 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 68 -->
W
<!-- tex4ht_end mini_ker_tex4ht_math math 68 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 69 -->
W
<!-- tex4ht_end mini_ker_tex4ht_math math 69 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 70 -->
W
<!-- tex4ht_end mini_ker_tex4ht_math math 70 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 71 -->
g(τ)
<!-- tex4ht_end mini_ker_tex4ht_math math 71 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 72 -->
g(τ)
<!-- tex4ht_end mini_ker_tex4ht_math math 72 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 73 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 73 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 74 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 74 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 75 -->
g(τ;t)
<!-- tex4ht_end mini_ker_tex4ht_math math 75 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 76 -->
t
<!-- tex4ht_end mini_ker_tex4ht_math math 76 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 77 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 77 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 78 -->
2
<!-- tex4ht_end mini_ker_tex4ht_math math 78 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 79 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 79 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 80 -->
g(τ;t)
<!-- tex4ht_end mini_ker_tex4ht_math math 80 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 81 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 81 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 82 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 82 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 83 -->
tau
<!-- tex4ht_end mini_ker_tex4ht_math math 83 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 84 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 84 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 85 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 85 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 86 -->
0.2
<!-- tex4ht_end mini_ker_tex4ht_math math 86 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 87 -->
∘
__√
_2
<!-- tex4ht_end mini_ker_tex4ht_math math 87 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 88 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 88 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 89 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 89 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 90 -->
τ
<!-- tex4ht_end mini_ker_tex4ht_math math 90 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 91 -->
g(τ)
<!-- tex4ht_end mini_ker_tex4ht_math math 91 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 92 -->
g(t,τ)
<!-- tex4ht_end mini_ker_tex4ht_math math 92 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 93 -->
Ast
<!-- tex4ht_end mini_ker_tex4ht_math math 93 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 94 -->
Ast
<!-- tex4ht_end mini_ker_tex4ht_math math 94 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 95 -->
Ast + A†
st
<!-- tex4ht_end mini_ker_tex4ht_math math 95 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 96 -->
Ast
<!-- tex4ht_end mini_ker_tex4ht_math math 96 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 97 -->
U
<!-- tex4ht_end mini_ker_tex4ht_math math 97 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 98 -->
w
<!-- tex4ht_end mini_ker_tex4ht_math math 98 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 99 -->
V
<!-- tex4ht_end mini_ker_tex4ht_math math 99 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 100 -->
Ast + A†
st
<!-- tex4ht_end mini_ker_tex4ht_math math 100 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 101 -->
Ast
<!-- tex4ht_end mini_ker_tex4ht_math math 101 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 102 -->
Φ(t + δt,t) = expAstδt
<!-- tex4ht_end mini_ker_tex4ht_math math 102 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 103 -->
w
<!-- tex4ht_end mini_ker_tex4ht_math math 103 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 104 -->
Φ
<!-- tex4ht_end mini_ker_tex4ht_math math 104 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 105 -->
t
<!-- tex4ht_end mini_ker_tex4ht_math math 105 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 106 -->
Φ(t,0)
<!-- tex4ht_end mini_ker_tex4ht_math math 106 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 107 -->
U
<!-- tex4ht_end mini_ker_tex4ht_math math 107 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 108 -->
Φ
<!-- tex4ht_end mini_ker_tex4ht_math math 108 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 109 -->
w
<!-- tex4ht_end mini_ker_tex4ht_math math 109 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 110 -->
Φ
<!-- tex4ht_end mini_ker_tex4ht_math math 110 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 111 -->
V
<!-- tex4ht_end mini_ker_tex4ht_math math 111 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 112 -->
Φ
<!-- tex4ht_end mini_ker_tex4ht_math math 112 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 113 -->
Φ(t,0)
<!-- tex4ht_end mini_ker_tex4ht_math math 113 -->
<!-- tex4ht_begin mini_ker_tex4ht_math math 114 -->
Φ(t,0)
<!-- tex4ht_end mini_ker_tex4ht_math math 114 -->
|
