math104-s22:s:jiayinlin:start
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math104-s22:s:jiayinlin:start [2022/03/18 18:27] jiayin_lin [Mar 10th] |
math104-s22:s:jiayinlin:start [2026/02/21 14:41] (current) |
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| [[hw 8]] is easy for me, but I dont quite get the Weierstrass-M test since for me I feel it is a too strong requirement that sup of all $|f_n|$ is bounded by something that sum up to converge then the the convergence is too obvious. I am concerned about what happens when $\sum\limits_m^n sup(|f(x)|)$ is not cauchy (you are adding up values for different x in each term) but $sup(\sum\limits_m^n |f(x)|)$ converge to 0 for all x and the series is still uniform cauchy and how we identify this sort. | [[hw 8]] is easy for me, but I dont quite get the Weierstrass-M test since for me I feel it is a too strong requirement that sup of all $|f_n|$ is bounded by something that sum up to converge then the the convergence is too obvious. I am concerned about what happens when $\sum\limits_m^n sup(|f(x)|)$ is not cauchy (you are adding up values for different x in each term) but $sup(\sum\limits_m^n |f(x)|)$ converge to 0 for all x and the series is still uniform cauchy and how we identify this sort. | ||
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| + | ====Apr 9th==== | ||
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| + | I did horribly in MT2, so I have to study harder. [[HW9]] is here. | ||
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| + | I did the first question wrong, but I figured out that integrate my answer will work. This one was really cool. | ||
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| + | {{: | ||
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| + | This was my original answer I thought I was constructing some that vanish at both points | ||
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| + | {{: | ||
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| + | This works now properly | ||
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| + | ====Apr 17th==== | ||
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| + | I had a really hard time going through R-S integral. I missed a class and I cannot follow anymore... :( | ||
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| + | I have been frantically going through Ross 35 but I found there are so many material. | ||
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| + | I did [[hw10]] with no ease, and I hope they are correct. | ||
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| + | ====Apr 25th==== | ||
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| + | This [[hw11]] is quite easy for me though the last one I took some time to come up with, because I am too far from being familiar with R-S integral. | ||
math104-s22/s/jiayinlin/start.1647628050.txt.gz · Last modified: 2026/02/21 14:43 (external edit)
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