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The quaternion group is one of the two non-Abelian groups of the five total finite groups of order 8. It is formed by the quaternions +/-1, +/-i, +/-j, and +/-k , denoted Q_8 ...
The absolute moment of M_n of a probability function P(x) taken about a point a is defined by M_n=int|x-a|^nP(x)dx.
The strophoid of a circle with pole at the center and fixed point on the circumference is a Freeth's nephroid.
A stable fixed point of a map which, in a dissipative dynamical system, is an attractor.
For a parabola oriented vertically and opening upwards, the vertex is the point where the curve reaches a minimum.
The lines of a pencil joining the points of a line segment range to another point.
A point at which three or more polyhedron edges of a polyhedron meet. The concept can also be generalized to a polytope.
The catacaustic of the quadrifolium with arbitrary radiant point is a complicated function. A few example are illustrated above.
An n-route is defined as a walk of length n with specified initial point in which no line succeeds itself.
Two curves both containing the point P are tangent at P if they share the same tangent line at P.
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