[數學普及] Measure Theory (測度論) 簡介 ver. 2

330 回覆
67 Like 3 Dislike
2017-12-25 02:26:32
唔知咩時候會講下
但呢度唔會講住,用個比較intuitive的方法講左先
2017-12-25 15:06:06
pish
2017-12-25 17:40:48
樓主真Chur
不過個post又令我想拎番以前讀 analysis (CUHK MATH 2050 2060)啲野出黎睇
支持高汁post
2017-12-26 06:57:52
呢個應該係 4050
2017-12-26 11:53:07
我果陣無到咁深
(我minor 黎架炸 唔係major 唔敢挑戰 real 同 functional)
2017-12-26 12:48:28
Functiomal 無咁多 epsilon delta 會開心d
同埋functional 需要linear algebra 同 point set topology 多過 elementary analysis
2017-12-26 12:49:29
2017-12-26 13:23:16
2017-12-27 17:53:14
請問係咪non-continuous function 係咪搵唔到area?
指緊non-continuous 既interval
2017-12-27 20:39:02
好似唔係,只要discontinuous既點足夠少就係riemann integrable
利申:唔識
2017-12-27 20:40:36
Iff set of discontinuity is countable
2017-12-27 23:11:58
Set of continuity is of length zero
Countable set 只係 length zero ge 特例
Cantor set 係length zero 但 uncountable
2017-12-27 23:13:46
唔係呀,我一開講Riemann integral 果陣個d estimation 用ge function咪discontinuous lor
2017-12-27 23:14:16
請問係咪non-continuous function 係咪搵唔到area?
指緊non-continuous 既interval
好似唔係,只要discontinuous既點足夠少就係riemann integrable
利申:唔識
Iff set of discontinuity is countable
Set of discontinuity is of length zero
Countable set 只係 length zero ge 特例
Cantor set 係length zero 但 uncountable
2017-12-27 23:24:30
記錯咗
2017-12-27 23:30:24
諗住砍掉重練
2017-12-27 23:37:13
其實no one cares 呢條theorem
用處唔大,呢條theorem 只係話太多discontinuities 會令Riemann integral 條橋行唔通
但唔代表用Lebesgue 條橋唔得
有條定理就係話Riemann integrable implies Lebesgue integrable.
2017-12-28 18:30:59
又砍?諗住點重練?
2017-12-30 08:46:23
諗下有無D咩 intuitive的方法講, 而家太 technical, technical ge部份不如留返比D真係有興趣的人搵本書睇
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