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--- math105-s22:s:mheaney:start [2022/03/05 01:58]
mheaney
+++ math105-s22:s:mheaney:start [2026/02/21 14:41] (current)
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 My other interests are music and sport. I play piano and saxophone, I teach piano at home and currently trying to teach myself the trumpet. I also ran the half marathon across the golden gate last November!
+**Study Methods**  // \\
+**//Revision Questions//**I find the best way to learn analysis is starting with definitions. So, every analysis class I make revision questions from every book. This helps  me to form proofs ect later on. Maybe some of you will find them useful too. I will link them here: //
+Lebesgue Outer Measure (Pugh Chp6 and Tao Chp 7) //
+{{ :math105-s22:s:mheaney:m105_fourier_series_revision_questions.pdf |}}
+**//Tool Box//** As I go through revising for exams and for problem sets. I try to put together a toolbox. Just definitions and theorems we have covered without the proofs. I'll add that  here when it is complete
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 // measure space, differences between mesemorphism, meseomorphism, and mesisometry //
 \\
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+\\
 **4. Regularity** \\
-**Theorem 11** // Lebesgue measure is **regular** in the sense that each measurable set E can be sandwiched between an $F_{\sigma}-set$ and a $G_{\delta}-set$ , F $\subset$ E $\subset$ G , such that G\F is a zero set. Conversely, if there is such an F $\subset$ E $\subset$ G, E is measurable.
+**Theorem 11** // Lebesgue measure is **regular** in the sense that each measurable set E can be sandwiched between an $F_{\sigma}-set$ and a $G_{\delta}-set$ , F $\subset$ E $\subset$ G , such that G\F is a zero set. Conversely, if there is such an F $\subset$ E $\subset$ G, E is measurable. //
+Affine motions..
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+\\
+**__Final Essay- Fast Fourier Transforms (FFT)__**
+I took a perspective based on my own background and how I visualize and use FT and FFT's in general
+{{ :math105-s22:s:mheaney:final_essay_what_is_fast_fourier_transform.pdf |}}

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