Lie algebra definition and terminology: Solvable, Nilpotent
I introduce some basic terminology in Lie algebra
Lie algebra:
https://www.youtube.com/playlist?list=PLg9w7tItBlZtyD9Mqq4fCPs81NgSJrmSR
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Mathematical analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZu-yFYxQrWrFKcdOHRz2Fkh
group theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtSHrTTVjEzAsUcO69YXY7v
Analytic number theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZu2IdPFQkrvAsPs-V2B_dxk
Real analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsaSW0zlQ7m0S3Ti51bYJg_
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
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-
...
https://www.youtube.com/watch?v=wolN3_86SJo
Integral of e^x/(1+e^{2x})
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機率
Probability and discrete mathematics:
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Probability interview questions:
https://www.youtube.com/watch?v=qphhG_1rWf8&list=PLg9w7tItBlZtI1eM6znSYfyDEaqQtUx5b
Probability theory:
https://www.youtube.com/watch?v=8s-nyRLBsDo&list=PLg9w7tItBlZsvciKHBx8lXXnCtQ7Ou4cV
Complex analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsYfYG6dUISItqsSRSXaX4B
Combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZvQt0YNfCqcULzrPme2ai7K
additive combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZseUrmXgf_2yc2NI_obVUhB
微積分 高等微積分 代數
Calculus and advanced mathematics (abstract algebra):
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Real analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZumEJ4DacAKgstCvDHKtY63
Reduction formula in Calculus:
https://www.youtube.com/playlist?list=PLg9w7tItBlZubmhgkHoHvje1uOASnkcke
Integrals of trigonometric functions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZuwEER2YvFV06ri6i1Cj3hh
(algebraic geometry)代數幾何筆記
https://www.youtube.com/playlist?list=PLg9w7tItBlZssQ4Smzgp_bk2rEszKaW0B
Linear algebra Proof:
https://www.youtube.com/playlist?list=PLg9w7tItBlZueH6LMeYzzwPMUlIaRhCZo
環論(ring theory):
https://www.youtube.com/playlist?list=PLg9w7tItBlZs9w4wrNAuv4oJdrt-sIWUP
Abstract Algebra:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsyZ0Ri0IDPYEwDxDXjCqB0
Group theory (群論):
https://www.youtube.com/playlist?list=PLg9w7tItBlZu4Qkxz2WSk4eYZmDAC8ZY0
Galois theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsepuNJ3tOnG238M03KrKaG
數論跟其他:
number theory and others:
...
https://www.youtube.com/watch?v=mfo4KhTMcjc
You are given two integers, x and y, which represent your current location on a Cartesian grid: (x, y). You are also given an array points where each points[i] = [ai, bi] represents that a point exists at (ai, bi). A point is valid if it shares the same x-coordinate or the same y-coordinate as your location.
Return the index (0-indexed) of the valid point with the smallest Manhattan distance from your current location. If there are multiple, return the valid point with the smallest index. If there are no valid points, return -1.
The Manhattan distance between two points (x1, y1) and (x2, y2) is abs(x1 - x2) + abs(y1 - y2).
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My other Leetcode solving videos (easy)
https://www.youtube.com/playlist?list=PLg9w7tItBlZt4oUpNyWU_0rOItlScu1_d
Leetcode solving videos (Medium):
https://www.youtube.com/playlist?list=PLg9w7tItBlZvMGxy-y1eXURPD6Ao6kkzA
Leetcode solving videos (Hard):
https://www.youtube.com/playlist?list=PLg9w7tItBlZt4JQmlkGD3M5idZn14NyL6
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...
https://www.youtube.com/watch?v=59D2ImOnE1E
In this video, we prove that Gibbs inequality.
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More interesting questions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsC-FFxBJxFg3dkCFGUqXIR
Instagram account: https://www.instagram.com/mathphyen/
Subscribe to my channel
more video lists:
################
機率
Probability and discrete mathematics:
######################################################################
Probability interview questions:
https://www.youtube.com/watch?v=qphhG_1rWf8&list=PLg9w7tItBlZtI1eM6znSYfyDEaqQtUx5b
Probability theory:
https://www.youtube.com/watch?v=8s-nyRLBsDo&list=PLg9w7tItBlZsvciKHBx8lXXnCtQ7Ou4cV
Complex analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsYfYG6dUISItqsSRSXaX4B
Combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZvQt0YNfCqcULzrPme2ai7K
additive combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZseUrmXgf_2yc2NI_obVUhB
微積分 高等微積分 代數
Calculus and advanced mathematics (abstract algebra):
######################################################################
Real analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZumEJ4DacAKgstCvDHKtY63
Reduction formula in Calculus:
https://www.youtube.com/playlist?list=PLg9w7tItBlZubmhgkHoHvje1uOASnkcke
Integrals of trigonometric functions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZuwEER2YvFV06ri6i1Cj3hh
(algebraic geometry)代數幾何筆記
https://www.youtube.com/playlist?list=PLg9w7tItBlZssQ4Smzgp_bk2rEszKaW0B
Linear algebra Proof:
https://www.youtube.com/playlist?list=PLg9w7tItBlZueH6LMeYzzwPMUlIaRhCZo
環論(ring theory):
https://www.youtube.com/playlist?list=PLg9w7tItBlZs9w4wrNAuv4oJdrt-sIWUP
Abstract Algebra:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsyZ0Ri0IDPYEwDxDXjCqB0
Group theory (群論):
https://www.youtube.com/playlist?list=PLg9w7tItBlZu4Qkxz2WSk4eYZmDAC8ZY0
Galois theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsepuNJ3tOnG238M03KrKaG
...
https://www.youtube.com/watch?v=r7gM0DbbNGI
prove 1/2(a_n+b_n), \sqrt{a_nb_n} has same limit
We prove the limit exist and
they are the same
More interesting questions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsC-FFxBJxFg3dkCFGUqXIR
Instagram account: https://www.instagram.com/mathphyen/
Subscribe to my channel
more video lists:
################
機率
Probability and discrete mathematics:
######################################################################
Probability interview questions:
https://www.youtube.com/watch?v=qphhG_1rWf8&list=PLg9w7tItBlZtI1eM6znSYfyDEaqQtUx5b
Probability theory:
https://www.youtube.com/watch?v=8s-nyRLBsDo&list=PLg9w7tItBlZsvciKHBx8lXXnCtQ7Ou4cV
Complex analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsYfYG6dUISItqsSRSXaX4B
Combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZvQt0YNfCqcULzrPme2ai7K
additive combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZseUrmXgf_2yc2NI_obVUhB
微積分 高等微積分 代數
Calculus and advanced mathematics (abstract algebra):
######################################################################
Real analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZumEJ4DacAKgstCvDHKtY63
...
https://www.youtube.com/watch?v=iomsU_32xDc
In this video, we proved
Chebyshev's sum inequality
Check out my math inequality list:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsF8uZLHpA7R8mzk6K1b4Nc
Instagram account: https://www.instagram.com/mathphyen/
Subscribe to my channel
more video lists:
################
機率
Probability and discrete mathematics:
######################################################################
Probability interview questions:
https://www.youtube.com/watch?v=qphhG_1rWf8&list=PLg9w7tItBlZtI1eM6znSYfyDEaqQtUx5b
Probability theory:
https://www.youtube.com/watch?v=8s-nyRLBsDo&list=PLg9w7tItBlZsvciKHBx8lXXnCtQ7Ou4cV
Complex analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsYfYG6dUISItqsSRSXaX4B
Combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZvQt0YNfCqcULzrPme2ai7K
additive combinatorics:
https://www.youtube.com/playlist?list=PLg9w7tItBlZseUrmXgf_2yc2NI_obVUhB
微積分 高等微積分 代數
Calculus and advanced mathematics (abstract algebra):
######################################################################
Real analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZumEJ4DacAKgstCvDHKtY63
Reduction formula in Calculus:
https://www.youtube.com/playlist?list=PLg9w7tItBlZubmhgkHoHvje1uOASnkcke
Integrals of trigonometric functions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZuwEER2YvFV06ri6i1Cj3hh
(algebraic geometry)代數幾何筆記
https://www.youtube.com/playlist?list=PLg9w7tItBlZssQ4Smzgp_bk2rEszKaW0B
Linear algebra Proof:
https://www.youtube.com/playlist?list=PLg9w7tItBlZueH6LMeYzzwPMUlIaRhCZo
環論(ring theory):
https://www.youtube.com/playlist?list=PLg9w7tItBlZs9w4wrNAuv4oJdrt-sIWUP
Abstract Algebra:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsyZ0Ri0IDPYEwDxDXjCqB0
Group theory (群論):
https://www.youtube.com/playlist?list=PLg9w7tItBlZu4Qkxz2WSk4eYZmDAC8ZY0
Galois theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsepuNJ3tOnG238M03KrKaG
數論跟其他:
number theory and others:
###########
Riemann Zeta functions:
https://www.youtube.com/playlist?list=PLg9w7tItBlZu4ncqL53iPd1GmwKq8yYoM
Math related to pi:
https://www.youtube.com/playlist?list=PLg9w7tItBlZuzFft3Y5h1LRaNvAv7ruKe
Number theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZvGgPYrFxfGWaQgQBrLOOws
Set Theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsDqBUL-CIHcVVBs9EODL_J
High school math & AP calculus:
https://www.youtube.com/playlist?list=PLg9w7tItBlZv165XaBIyj03q3WSMMUqDo
Solving polynomial equation:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsheN8dz8LLPy99AaLb7_-7
工程數學 Engineering Mathematics:
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Laplace transformation:
https://www.youtube.com/playlist?list=PLg9w7tItBlZty21VgNOrLTKg3BM1sFmFE
differential
...
https://www.youtube.com/watch?v=f1woR6l_jeg
最新 111學測 數學A單選詳解
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多半都為大學數學跟高等數學
非補習班XD
Please subscribe to my channel
Analytic number theory:
https://www.youtube.com/playlist?list=PLg9w7tItBlZu2IdPFQkrvAsPs-V2B_dxk
Mathematical analysis
https://www.youtube.com/playlist?list=PLg9w7tItBlZu-yFYxQrWrFKcdOHRz2Fkh
group theory lecture
https://www.youtube.com/playlist?list=PLg9w7tItBlZtSHrTTVjEzAsUcO69YXY7v
Real analysis:
https://www.youtube.com/playlist?list=PLg9w7tItBlZsaSW0zlQ7m0S3Ti51bYJg_
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
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-
...
https://www.youtube.com/watch?v=nQsKz3HsvWQ