An equation is a statement that connects two expressions with an $=$ sign and asserts their equality. An identity is an equation that holds for every variable tuple for which the equation is defined: $\log(xy)\equiv \log(x)+\log(y)$ A conditional equation holds for some variable tuple(s):

May 28, 2013 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Oct 2, 2011 · If the equations of the diagonals of the rectangle are Ax + By + C = 0 and Dx + Ey + F = 0 then an equation for the rectangle is: M|Ax + By + C| + N|Dx + Ey + F| = 1. M and N can be found by substituting the coordinates of two adjacent vertices of the rectangle. In fact, this equation can be used to describe any parallelogram.

Apr 20, 2017 · Now we are looking for the equation of a circle through the origin and two other points, which is of the form $$(x-x_c)^2+(y-y_c)^2-r^2=x^2-2xx_c+y^2-2yy_c=0,$$ as there is no independent term. This results in the $2\times2$ linear system of equations

I found this question in a differential equation textbook as a question. The equation $$ \frac{dy}{dx} =A(x)y^2 + B(x)y +C(x) $$ is called Riccati's equation

In my work "=" is the identity of a number so it states an equivalence. 1=1, 2x=10 ie x =5. The approximation sign "≈" I use for decimal approximations with tilde "~" being a rougher approximation.

Jul 28, 2010 · Also of note, Wolfram sells a poster that discusses the solvability of polynomial equations, focusing particularly on techniques to solve a quintic (5th degree polynomial) equation. This poster gives explicit formulas for the solutions to quadratic, cubic, and quartic equations.

Aug 13, 2020 · What is the equation for an ellipse in standard form after an arbitrary matrix transformation? 0 Rotated Ellipse (Parametric) - Determining Semi-Major and Semi-Minor Axes

Apr 15, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

与equation环境相似的，可以用equation*环境生成不带编号的行间公式。与之相似的还有最常用的无编号行间公式环境 \[...\]，以及现在基本被淘汰的 $$...$$ 环境。当然，还有完全等价的displaymath环境。下面是这三种环境的简单示例：