"What’s that supposed to mean? This is what you call a scholar’s nonconformity, all right."
Li Jianming leaned back in his chair, looking at Chen Zhuo.
He knew this student all too well.
Although Chen Zhuo was usually easygoing, he would never drop by for an idle chat during work hours without a good reason.
"So, spill it. What’s wrong over at the School of Physics?" Li Jianming asked.
Chen Zhuo’s smile faded, and he leaned back slightly.
"The aerodynamic simulation for the high-speed train’s nose cone."
Chen Zhuo didn’t hide anything and laid out the whole situation.
"They upgraded the model from a 2D cross-section to a full-scale 3D version. When I plugged my matrix set into it, the mesh was divided into over forty million cells."
Li Jianming frowned slightly.
He wasn’t a physicist, but he knew exactly what high-order matrix multiplication with forty million nodes entailed.
"Forty million? Didn’t those junk machines in the server room start smoking?"
"They blue-screened," Chen Zhuo said, his tone flat.
"Three days and three nights for one percent on the progress bar."
Nearby, Wu Tao stopped shuffling the papers in his hands, dumbfounded.
"Forty million mesh cells? You guys at the School of Physics really are daring. Isn’t that like trying to move a mountain with a toothpick?"
"We had no choice."
Chen Zhuo stared at the tea leaves standing upright in his cup.
"The continuity equations in fluid dynamics are unsolvable directly. To simulate the continuous process of wind flowing over the curved surface of the nose cone, you can’t even find the initial boundary conditions without using a mesh."
Chen Zhuo paused, his voice dropping.
"I spent a week in the library trying to optimize the algorithm, trying to cut the number of mesh cells in half, but it’s just not logically feasible."
Li Jianming held his Zisha teapot, not rushing to speak.
He observed Chen Zhuo’s state—calm on the surface, but clearly caught in a dead end.
In Li Jianming’s eyes, Chen Zhuo was a genius, but even geniuses can get trapped by a concrete physical shape.
Li Jianming shook his head and let out a soft chuckle.
"You physicists, or engineers for that matter, all share a common flaw."
Li Jianming used the lid of his pot to skim the floating tea leaves, speaking in a slow, deliberate manner.
Chen Zhuo looked up at him.
"What flaw?"
"Tunnel vision."
Li Jianming placed the Zisha teapot on the table, making a crisp clinking sound.
"Your eyes are always fixated on the concrete, the visible, the tangible physical form."
Li Jianming pointed to a globe on the table, then to the pen holder next to it.
"Whether it’s the nose of a high-speed train or the wing of an airplane, you’re always thinking about how to describe its length, width, and height, how to calculate every single depression on its surface."
Li Jianming leaned back in his chair, folding his hands over his stomach with the sort of arrogance unique to a pure mathematician.
"To the eyes of a pure mathematician, shape is the most meaningless of all superficial characteristics."
Chen Zhuo didn’t interrupt, listening quietly.
Wu Tao also sat cross-legged on the floor, looking at his advisor.
"You created forty million mesh cells. And for what? To approximate the true geometric characteristics of the nose cone’s surface."
Li Jianming looked at Chen Zhuo.
"But have you ever considered this: that nose cone, no matter how streamlined its design, what essential difference does it have from a loaf of bread in the world of topology?"
"No difference," Chen Zhuo replied.
"Exactly. So if there’s no difference, why are you letting yourself be held hostage by its geometry?"
Li Jianming stood up and walked to the whiteboard, where some remnants of Wu Tao’s thesis derivations were still visible.
He picked up a marker and drew a very irregular closed curve on the whiteboard, like a squashed lump of dough.
"A physicist would take a ruler to measure the perimeter of this lump of dough and create a mesh to calculate its surface area under stress."
Then, next to the lump of dough, Li Jianming wrote an abstract algebraic symbol.
"But a mathematician would look for its isomorphic mapping."
Li Jianming tapped the algebraic symbol forcefully with the tip of his marker.
"As long as I can find a set of polynomials, or an ideal, in algebraic space whose algebraic properties are isomorphic to the geometric properties of this lump of dough..."
Li Jianming turned around and looked Chen Zhuo in the eye.
"Then it no longer matters what this lump of dough looks like. You can throw the dough in the trash and work only with the algebraic equations made of these few letters."
Li Jianming tossed the marker back into the pen holder and clapped his hands together.
"That is algebra. Algebra is the essence of a thing after all its physical characteristics have been stripped away."
The office was silent.
Wu Tao scratched his head, feeling that his advisor’s argument was a bit of a stretch.
"Professor, Chen Zhuo’s team needs to calculate specific wind resistance data. If you abstract the train’s nose cone into a few letters, how can you produce the engineering parameters?"
"That’s not my problem."
Li Jianming waved his hand dismissively and sat back down in his chair.
"I’m just an old man who teaches math. I’m only responsible for telling him that pure mathematics has the tools. As for how he uses that knife on physics’s cutting board, that’s his business."
Chen Zhuo sat on the sofa, not having moved an inch.
The teacup in his hand was still steaming.
Li Jianming’s words were like a gust of wind, scattering the heavy, dense meshes that had been piling up in his mind for a week.
’Shape is an unimportant, superficial characteristic.’
’Isomorphic mapping.’
’Algebraic relations.’
These concepts were common knowledge in pure mathematics.
But for the past month, Chen Zhuo had been so caught up in the engineering requirements from Zhang Yuan’s team that he’d dived headfirst into a swamp of meshes and nodes, completely forgetting what his greatest weapon was.
Chen Zhuo placed the teacup on the coffee table and stood up.
"Good tea."
Chen Zhuo looked at Li Jianming.
Li Jianming smiled, picked up his mouse again, and clicked the refresh button on his email client.
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My IQ Increases Year by Year — Chapters
1
Chapter 1
2
Chapter 2
3
Chapter 3
4
Chapter 4
5
Chapter 5
6
Chapter 6
7
Chapter 7
8
Chapter 8
9
Chapter 9
10
Chapter 10
11
Chapter 11
12
Chapter 12
13
Chapter 13
14
Chapter 14
15
Chapter 15
16
Chapter 16
17
Chapter 17
18
Chapter 18
19
Chapter 19
20
Chapter 20
21
Chapter 21
22
Chapter 22
23
Chapter 23
24
Chapter 24
25
Chapter 25
26
Chapter 26
27
Chapter 27
28
Chapter 28
29
Chapter 29
30
Chapter 30
31
Chapter 31
32
Chapter 32
33
Chapter 33
34
Chapter 34
35
Chapter 35
36
Chapter 36
37
Chapter 37
38
Chapter 38
39
Chapter 39
40
Chapter 40
41
Chapter 41
42
Chapter 42
43
Chapter 43
44
Chapter 44
45
Chapter 45
46
Chapter 46
47
Chapter 47
48
Chapter 48
49
Chapter 49
50
Chapter 50
51
Chapter 51
52
Chapter 52
53
Chapter 53
54
Chapter 54
55
Chapter 55
56
Chapter 56
57
Chapter 57
58
Chapter 58
59
Chapter 59
60
Chapter 60
61
Chapter 61
62
Chapter 62
63
Chapter 63
64
Chapter 64
65
Chapter 65
66
Chapter 66
67
Chapter 67
68
Chapter 68
69
Chapter 69
70
Chapter 70
71
Chapter 71
72
Chapter 72
73
Chapter 73
74
Chapter 74
75
Chapter 75
76
Chapter 76
77
Chapter 77
78
Chapter 78
79
Chapter 79
80
Chapter 80
81
Chapter 81
82
Chapter 82
83
Chapter 83
84
Chapter 84
85
Chapter 85
86
Chapter 86
87
Chapter 87
88
Chapter 88
89
Chapter 89
90
Chapter 90
91
Chapter 91
92
Chapter 92
93
Chapter 93
94
Chapter 94
95
Chapter 95
96
Chapter 96
97
Chapter 97
98
Chapter 98
99
Chapter 99
100
Chapter 100
101
Chapter 101
102
Chapter 102
103
Chapter 103
104
Chapter 104
105
Chapter 105
106
Chapter 106
107
Chapter 107
108
Chapter 108
109
Chapter 109
110
Chapter 110
111
Chapter 111
112
Chapter 112
113
Chapter 113
114
Chapter 114
115
Chapter 115
116
Chapter 116
117
Chapter 117
118
Chapter 118
119
Chapter 119
120
Chapter 120
121
Chapter 121
122
Chapter 122
123
Chapter 123
124
Chapter 124
125
Chapter 125
126
Chapter 126
127
Chapter 127
128
Chapter 128
129
Chapter 129
130
Chapter 130
131
Chapter 131
132
Chapter 132
133
Chapter 133
134
Chapter 134
135
Chapter 135
136
Chapter 136
137
Chapter 137
138
Chapter 138
139
Chapter 139
140
Chapter 140
141
Chapter 141
142
Chapter 142
143
Chapter 143
144
Chapter 144
145
Chapter 145
146
Chapter 146
147
Chapter 147
148
Chapter 148
149
Chapter 149
150
Chapter 150
151
Chapter 151
152
Chapter 152
153
Chapter 153
154
Chapter 154
155
Chapter 155
156
Chapter 156
157
Chapter 157
158
Chapter 158
159
Chapter 159
160
Chapter 160
161
Chapter 161
162
Chapter 162
163
Chapter 163
164
Chapter 164
165
Chapter 165
166
Chapter 166
167
Chapter 167
168
Chapter 168
169
Chapter 169
170
Chapter 170
171
Chapter 171
172
Chapter 172
173
Chapter 173
174
Chapter 174
175
Chapter 175
176
Chapter 176
177
Chapter 177
178
Chapter 178
179
Chapter 179
180
Chapter 180
181
Chapter 181
182
Chapter 182
183
Chapter 183
184
Chapter 184
185
Chapter 185
186
Chapter 186
187
Chapter 187
188
Chapter 188
189
Chapter 189
190
Chapter 190
191
Chapter 191
192
Chapter 192
193
Chapter 193
194
Chapter 194
195
Chapter 195
196
Chapter 196
197
Chapter 197
198
Chapter 198
199
Chapter 199
200
Chapter 200
201
Chapter 201
202
Chapter 202
203
Chapter 203
204
Chapter 204
205
Chapter 205
206
Chapter 206
207
Chapter 207
208
Chapter 208
209
Chapter 209
210
Chapter 210
211
Chapter 211
212
Chapter 212
213
Chapter 213
214
Chapter 214
215
Chapter 215
216
Chapter 216
217
Chapter 217
218
Chapter 218
219
Chapter 219
220
Chapter 220
221
Chapter 221
222
Chapter 222
223
Chapter 223
224
Chapter 224
225
Chapter 225
226
Chapter 226
227
Chapter 227
228
Chapter 228
229
Chapter 229
230
Chapter 230
231
Chapter 231
232
Chapter 232
233
Chapter 233
234
Chapter 234
235
Chapter 235
236
Chapter 236
237
Chapter 237
238
Chapter 238
239
Chapter 239
240
Chapter 240
241
Chapter 241
242
Chapter 242
243
Chapter 243
244
Chapter 244
245
Chapter 245
246
Chapter 246
247
Chapter 247
248
Chapter 248
249
Chapter 249
250
Chapter 250
251
Chapter 251
252
Chapter 252
253
Chapter 253
254
Chapter 254
255
Chapter 255
256
Chapter 256
257
Chapter 257
258
Chapter 258
259
Chapter 259
260
Chapter 260
261
Chapter 261
262
Chapter 262
263
Chapter 263
264
Chapter 264
265
Chapter 265
266
Chapter 266
267
Chapter 267
268
Chapter 268
269
Chapter 269
270
Chapter 270
271
Chapter 271
272
Chapter 272
273
Chapter 273
274
Chapter 274
275
Chapter 275
276
Chapter 276
277
Chapter 277
278
Chapter 278
279
Chapter 279
280
Chapter 280
281
Chapter 281
282
Chapter 282
283
Chapter 283
284
Chapter 284
285
Chapter 285
286
Chapter 286
287
Chapter 287
288
Chapter 288
289
Chapter 289
290
Chapter 290
291
Chapter 291
292
Chapter 292
293
Chapter 293
294
Chapter 294
295
Chapter 295
296
Chapter 296
297
Chapter 297
298
Chapter 298
299
Chapter 299
301
Chapter 301
302
Chapter 302
303
Chapter 303
304
Chapter 304
305
Chapter 305
306
Chapter 306
307
Chapter 307
308
Chapter 308
309
Chapter 309
310
Chapter 310
311
Chapter 311
312
Chapter 312
313
Chapter 313
314
Chapter 314
315
Chapter 315
316
Chapter 316
317
Chapter 317
318
Chapter 318
319
Chapter 319
320
Chapter 320
321
Chapter 321
322
Chapter 322
323
Chapter 323
324
Chapter 324
325
Chapter 325
326
Chapter 326
327
Chapter 327
328
Chapter 328
329
Chapter 329
330
Chapter 330
331
Chapter 331
332
Chapter 332
333
Chapter 333
334
Chapter 334
335
Chapter 335
336
Chapter 336
337
Chapter 337
338
Chapter 338
339
Chapter 339
340
Chapter 340
341
Chapter 341
342
Chapter 342
343
Chapter 343
344
Chapter 344
345
Chapter 345
346
Chapter 346
347
Chapter 347
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