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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
Fast Inverse Square Root
The article introduces an algorithm called Fast Inverse Square Root, which is used to quickly calculate the inverse square root of a floating point number.
#mathematics, #algorithm
2023, December, 08
How Do Computer Calculate the Log-Function
Analyzing the underlying implementation of the log function in computers from a numerical analysis perspective
#algorithm, #mathematics
2023, December, 07
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