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85e73baf76c3cd83c5d08cc84cd4ad85dabf80b9
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Bokuan Li
85e73baf76 Added citation. 2026-05-31 19:30:12 -04:00
Bokuan Li
3a07b5331e Added basics of Banach algebras. 2026-05-31 19:26:20 -04:00
Bokuan Li
fb8178b7ee Slight wording adjustments. 2026-05-31 15:53:32 -04:00
Bokuan Li
47145cdf58 Adjusted labeling of conditions for Banach-Steinhaus.
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2026-05-30 20:40:38 -04:00
Bokuan Li
edde66facc Various typo fixes.
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2026-05-30 20:35:32 -04:00
Bokuan Li
0cea712b96 Added Runge's theorem.
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2026-05-30 20:29:17 -04:00
Bokuan Li
eef9ef89b0 Added some notations. 2026-05-28 13:03:41 -04:00
Bokuan Li
1d65f25d03 Added the one-point compactification. 2026-05-28 12:55:23 -04:00
Bokuan Li
5a4c9f5d0e Updated Alaoglu's theorem.
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2026-05-27 23:53:22 -04:00
Bokuan Li
02bd8479bc Added path lemma.
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2026-05-27 22:59:06 -04:00
Bokuan Li
5923b45f9d Added Urysohn Metrisation theorem and compactness theorems.
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2026-05-26 19:32:02 -04:00
Bokuan Li
f6c5976873 Fixed some typos.
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2026-05-25 21:05:21 -04:00
Bokuan Li
047ffe4472 Added the complex conjugation.
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2026-05-25 20:59:22 -04:00
Bokuan Li
65fdc1cc8d Added the Stone-Weierstrass Theorem. 2026-05-25 20:38:20 -04:00
Bokuan Li
964cb2450a Typo fix.
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2026-05-25 17:16:54 -04:00
Bokuan Li
719e9a1f7a Added complexification.
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2026-05-23 21:19:04 -04:00
Bokuan Li
a058df3163 Added more complex analysis. 2026-05-18 18:06:02 -04:00
Bokuan Li
85d1d78bda Added appropriate form of Taylor's formula. 2026-05-18 16:24:43 -04:00
Bokuan Li
3a0e5cc351 Fixed typo.
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2026-05-16 21:49:56 -04:00
Bokuan Li
44d122e052 Added definition of holomorphic functions.
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2026-05-16 21:42:56 -04:00
Bokuan Li
88d71d6654 Fixed small typos. 2026-05-16 13:06:48 -04:00
Bokuan Li
365c89e773 Added Fubini for RS integrals.
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2026-05-15 20:30:20 -04:00
Bokuan Li
3a8de41020 Added the homotopic version of Cauchy's theorem. 2026-05-15 19:31:39 -04:00
Bokuan Li
6fdf6a64fd Added uniform structures for completely regular spaces. Added calculus lemma.
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2026-05-15 00:39:41 -04:00
Bokuan Li
c1a9e11dbb Fixed mistakes in FTC for path integrals.
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2026-05-13 16:29:09 -04:00
Bokuan Li
9f3c8a2e81 Added remark reflecting on past mistakes. 2026-05-13 15:21:46 -04:00
Bokuan Li
06b50c9b06 Adjusted statement of FTC for path integrals.
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2026-05-11 21:22:27 -04:00
Bokuan Li
a4642a0128 Added FTC for path integrals.
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2026-05-11 21:21:26 -04:00
Bokuan Li
4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li
538a02ba37 Added the inverse function theorem.
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2026-05-10 19:42:25 -04:00
Bokuan Li
7fdf1a8d6e Added power series.
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2026-05-09 19:57:18 -04:00
Bokuan Li
8d881dfa97 Added the bipolar theorem. 2026-05-09 18:15:10 -04:00
Bokuan Li
2e00ac6f10 Adjusted the interchange of limits and derivaties.
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2026-05-08 18:51:09 -04:00
Bokuan Li
5f50dc1157 Updated the power rule to the non-symmetric generality.
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2026-05-08 18:36:44 -04:00
Bokuan Li
248c89240b Updated notation for higher derivatives. 2026-05-08 14:17:28 -04:00
Bokuan Li
277c2e2625 Added the theorem for interchanging limits and derivatives.
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2026-05-08 01:25:39 -04:00
Bokuan Li
e8474bba3e Fixed equicontinuous formulation.
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2026-05-06 23:31:25 -04:00
Bokuan Li
57c32a3c5e Updated spelling of barreled to barrelled for consistency. 2026-05-06 16:50:37 -04:00
Bokuan Li
7e6e37d3e8 Housekeeping. 2026-05-06 16:41:51 -04:00
Bokuan Li
fdc5e43d82 Added the separate and joint continuity theorem.
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2026-05-06 16:31:41 -04:00
Bokuan Li
5afdc1fcb9 Adjusted wording of Banach-Steinhaus.
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2026-05-06 00:32:24 -04:00
Bokuan Li
ca3465b3d4 Fixed indexing mistake in Arzela-Ascoli.
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2026-05-06 00:30:02 -04:00
Bokuan Li
07fe8b35c0 Added the Banach-Steinhaus theorem.
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2026-05-06 00:27:05 -04:00
Bokuan Li
ce56f5d167 Adjusted organisation in the TVS chapter. 2026-05-05 21:58:54 -04:00
Bokuan Li
97372173e1 Fixed regex incident.
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2026-05-05 02:00:05 -04:00
Bokuan Li
0f2e69d1f9 Polished A-A and added new lines for broken enumerates.
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2026-05-05 01:50:35 -04:00
Bokuan Li
47a7e1de68 Added notes on equicontinuity.
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2026-05-05 01:10:56 -04:00
Bokuan Li
227436a9c2 Added saturated ideals. 2026-05-04 17:54:03 -04:00
Bokuan Li
e3c16a98b4 Updated the notation for convex and circled hulls. 2026-05-04 17:15:54 -04:00
Bokuan Li
60115baa41 Replaced references to upward-directed families with ideals. 2026-05-04 17:08:01 -04:00