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The Introduction to Bernoulli Number
Introduction, derivation and proof of Bernoulli numbers
#mathematics
2024, April, 23
Taylor Formula, Taylor Theorem, Taylor Series, Taylor Expansion
This article mainly introduces the content and connection between the four concepts of Taylor's formula, Taylor's theorem, Taylor series and Taylor's expansion.
#mathematics
2024, March, 06
Proof of Faulhaber's Formula
Faulhaber's Formula, which provides a method to compute the sum of the p-th powers of the first n positive integers.
#mathematics
2024, March, 05
The Master Theorem For Time Complexity
In this article, we will model the time complexity of divide and conquer using mathematical methods, analyze its asymptotic properties, and provide three methods of calculation.
#algorithm, #mathematics, #computation
2023, December, 18
The Bash Game
A pile of stones, two people take turns to take at least 1 stone and at most 2 stones. Whoever gets the last stone loses.
#algorithm, #game-theory
2023, December, 14
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