Fourier series, Fourier transforms and all that
This post grew out of the explanation I had once prepared for my friend. He didn’t find it very clear, but maybe you will. Feel free to skip to the second se...
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Normal distribution and its derivatives (+ volume of an n-ball)
Elementary area and volume in the spherical coordinate system In the spherical coordinate system, the points of $n$ dimensional space are determined by the E...
Frenet formulas
In kinematics, the so-called natural coordinate system is fixed to a moving body point with base vectors (axes) defined as follows:
Kepler’s problem
Assuming that a gravitational force acts on a material point (oriented towards the origin of coordinate system, inversely proportional to the square of the d...
Ellipse
Ellipse can be defined in several ways. One of them is to say that an ellipse represents the locus of all points whose sum of distances from two fixed points...