## LATEST POSTS

地道的中文，包括文言文与民间文学的白话文，和我们的关系日渐生疏，而英文的影响，无论来自直接的学习或是间接的潜移默化，则日渐显著，因此一般人笔下的白话文，西化的病态日渐严重。

The 'Coin Weight Problem' aims to solve the following mathematical problem: Among N coins, one coin has a different weight. with a balance scale, ensure finding the different coin with the fewest number of weighings.

Introduction, derivation and proof of Bernoulli numbers

Outlines computer system reliability, including series, parallel components, and N-modular redundancy.

Discusses the equivalence and error estimation in integrating piecewise continuous functions using rectangular and trapezoidal approximations.

Introduces functional dependencies, and the database paradigms 1NF, 2NF, 3NF, BCNF, and 4NF. and use examples to explain their concepts and connections.

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.

Faulhaber's Formula, which provides a method to compute the sum of the p-th powers of the first n positive integers.

The article discusses Catalan numbers, a sequence used in combinatorial problems. It covers their recurrence relation, closed form, and applications in path counting. It provides insights into problem-solving using Catalan numbers.

Give five symbolic and mathematical definitions related to time complexity.