on 05-Dec-2023 (Tue)

For a function, the norm of the function is defined as the square root of the inner product of the function: \(||f(x)||:=\sqrt{\left\langle f(x),f(x)\right\rangle}=\sqrt{\int^{x=b}_{x=a}|f(x)|^{2}dx}\)

If a function \(f(x)\) has unit norm, then: \(||y(x)||=1\)

在数学中，函数的正交性是用来描述一组函数具有的一种关键关系，这种关系意味着这组函数在某种意义上是互相独立的。
在函数空间中，两个函数\(f_{i}(x),f_{j}(x)\)被称为正交的，如果它们的内积为零：\(\left\langle f_{i}(x),f_{j}(x)\right\rangle=0\)

在数学中，函数的正交规范性是用来描述一组函数具有两个关键特性：正交性（Orthogonality）和规范性（Normality）的术语：
If \(y_{i}(x),y_{j}(x)\) are "orthonormal" if \(\left\langle y_{i}(x),y_{j}(x)\right\rangle_{w;(a,b)}=\delta_{ij}\equiv\left\{\begin{aligned}&1 & &i=j \cr&0 & &i\neq j\end{aligned}\right.\)

In mathematics, the Kronecker delta is a function of two variables, usually just non-negative integers: The function is 1 if the variables are equal, and 0 otherwise:\(\delta_{ij}\equiv\left\{\begin{aligned}&1 & &i=j \cr&0 & &i\neq j\end{aligned}\right.\)

Spring

Appendix C: Auto-configuration Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ê879 .C.1. spring-boot-autoconfigure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ê879 .C.2. spring-boot-actuator-autoconfigure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ê884 Appendix D: Test Auto-configuration Annotations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ê888 .D.1. Test Slices . . . . .

Clean Code

Robert C. Martin Series

Developer Ecosystem surveys are a great way to find and analyze the ground reality that is often in contrast to what seems popular or trending. It is interesting to note that more developers are using Java 17 in production