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Equivalence of rectangular and trapezoidal approximations

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

12 April, 2024
MATHEMATICS

我没有离去

Do Not Stand at My Grave and Weep
4 April, 2024

跟我用 node.js + ffmpeg 写一个视频服务器

Node.js 使用事件驱动和非阻塞 I/O 模型,这使得它能够有效地处理大量 IO 请求并发连接,这对于流媒体服务器非常重要。而 ffmpeg 对于视频处理的功能非常强大。我们可以使用 Node.js 的强大的扩展能力,集成 ffmpeg 制作一个视频流媒体服务器。

23 March, 2024
NODE.JS
PROJECT-PRACTICE

汉字的前端字体体积优化方案

对于欧洲等基于字母文字的地区,字体优化简单,大小通常不超过 1MB。但对于东亚国家,字体尺寸是一个头疼的问题,可能会达到数兆字节甚至更多。

22 March, 2024
FRONTEND

二进制数据的码制与校验

原码,反码,补码和移码的概念,以及奇偶校验、海明码的校验方法。

15 March, 2024
CS-BASIC

Data Table Relation's Normalization

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

12 March, 2024
DATABASE

函数依赖与数据库设计的范式

介绍函数依赖,以及数据库范式中的 1NF,2NF,3NF,BCNF 和 4NF。并且使用例子来解释它们的概念和联系。

11 March, 2024
DATABASE
中文博客

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.

6 March, 2024
MATHEMATICS

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.

5 March, 2024
MATHEMATICS

The catalan series

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.

2 March, 2024
ALGORITHM
MATHEMATICS
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