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  1. What is the difference between equation and formula?

    An equation is any expression with an equals sign, so your example is by definition an equation. Equations appear frequently in mathematics because mathematicians love to use equal signs. …

  2. Finding the angle of rotation of an ellipse from its general …

    The general equation for an ellipse is $Ax^2+Bxy+Cy^2+D=0$. How do I find the angle of rotation, the dimensions, and the coordinates of the center of the ellipse from the general equation and …

  3. Is there any equation for triangle? - Mathematics Stack Exchange

    There is no standard equation for a triangle, like there is for a circle, parabola or ellipse. The reason is that the circle for example has a clear classic geometric definition: A locus of points.

  4. Ellipse in polar coordinates - Mathematics Stack Exchange

    If instead we center at the right focus and follow the same steps, we obtain $$ r=\frac {a (1-\epsilon^2)} {1+\epsilon\cos\theta} $$ This geometric approach also extends naturally to …

  5. What is the equation used to calculate a linear trendline?

    What are the equations to calculate a linear trendline over a set of points? EDIT: "In excel it is done automatically but how to manually calculate a linear trendline over a set of points" was …

  6. when to use which z score equation? - Mathematics Stack Exchange

    6 in some exam past papers I have been doing I have come across the statistics equation z= (sample mean - mean)/standard deviation as well as the equation z = (sample mean - mean)/ …

  7. equation of a circle given 2 points - Mathematics Stack Exchange

    A circle has to points on the circumference (0, 1) and (0, 9) that bisect the circle and I have to give the equation of the circle in general form. So I can find the midpoint of the circle as ${(0...

  8. Polar equation of a circle - Mathematics Stack Exchange

    Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math …

  9. Equation of ellipse, hyperbola, parabola in complex form

    Equation form 2:$$ (x-b)^2= 4 a y $$ Let z be a complex variable in a complex plane $\omega$, it is denoted by the following equation $$ z = x + i y $$ where x and y are real and imaginary …

  10. The equation $x^3 + y^3 = z^3$ has no integer solutions - A …

    user21820 made a typo in the equation, but also gave an explicit counter example which checks out in the actual equation: namely subbing $ (x,y,z,e) = (2,1461,95,10)$ into your equation $ …