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  • What is the difference between equation and formula?
    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):
  • What is the equation for a 3D line? - Mathematics Stack Exchange
    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
  • 在理工科中,Formula, Equation 和 Function 这三个词有什么异同? - 知乎
    Equation常指方程,用方程来求解未知数,或者解出多个未知数间的对应关系 equation作为等式用的情况我感觉不常见,可能是某些常用的方便计算的式子,或者某些先决条件 inquation也就是不等式用的还要多些 Function是函数,一种普遍的对应关系,通常还要满足单射
  • Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
    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
  • simple geometry question- equation of cylinder
    The equation of an object is a way of telling whether a point is part of an object -- if you substitute the coordinates of the point into the equation and the equation is true, then the point is on the object; if the equation is not true for that point, then the point is not on the object
  • Equation of a rectangle - Mathematics Stack Exchange
    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
  • Compute the characteristic equation of a $3 \\times 3$ matrix
    The characteristic equation is used to find the eigenvalues of a square matrix A First: Know that an eigenvector of some square matrix A is a non-zero vector x such that Ax = λx Second: Through standard mathematical operations we can go from this: Ax = λx , to this: (A - λI)x = 0
  • geometry - Get the equation of a circle when given 3 points . . .
    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




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