Bertrand's postulate Proof
In this video, I prove Bertrand's postulate step by step
We need four lemmas
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Mathematical analysis
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group theory lecture
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Analytic number theory:
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Real analysis:
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Group representation for finite group
https://www.youtube.com/playlist?list=PLg9w7tItBlZvxk4eus_gi2Wp3yYAEXF9-
exact sequences
https://www.youtube.com/playlist?list=PLg9w7tItBlZuI7n7notRRA2jol69e9mc9
Ring theory lecture
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Category theory
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Field theory in abstract algebra
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https://www.youtube.com/watch?v=9z_tEuRSeow
hamming space and volume in the hamming space and binary entropy
Fourier transformation of Boolean function:
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https://www.youtube.com/watch?v=AYsTLGufZss
introduction to Fourier series and prove Riemann Lebesgue lemma
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In this video, I give a short introduction to the Fourier series and prove Riemann Lebesgue lemma
0:00 start
4:44 define the orthogonal and orthonormal basis
9:00 prove the Riemann Lebesgue lemma
Advanced mathematics list:
Group representation for finite group
https://www.youtube.com/playlist?list=PLg9w7tItBlZvxk4eus_gi2Wp3yYAEXF9-
exact sequences
https://www.youtube.com/playlist?list=PLg9w7tItBlZuI7n7notRRA2jol69e9mc9
Ring theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtfPKHWGlU55kqafEgUu45u
group theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtSHrTTVjEzAsUcO69YXY7v
Category theory
https://www.youtube.com/playlist?app=desktop&list=PLg9w7tItBlZtI1njDjtXt_0Hkqbn9RVvi
Field theory in abstract algebra
https://www.youtube.com/playlist?list=PLg9w7tItBlZtA6XhMIgIPkgj_SDKChbN-
Mathematical analysis
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https://www.youtube.com/watch?v=2OcaFC8Xwp4
1961 Check If String Is a Prefix of Array
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My other Leetcode solving videos (easy)
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1945 Sum of Digits of String After Convert
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My other Leetcode solving videos (easy)
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https://www.youtube.com/watch?v=EzkA8qr5jOM