Dual Numbers

Some articles on dual, number, dual numbers, numbers, dual number:

Dual Quaternion - Formulas
... In order to describe operations with dual quaternions, it is helpful to first consider quaternions ... a quaternion as the sum of a scalar and a vector, that is A = a0 + A, where a0 is a real number and A = A1 i + A2 j + A3 k is a three dimensional vector ... can now be used to define the quaternion product of A = a0 + A and C = c0 + C as A dual quaternion is usually described as a quaternion with dual numbers ...
0.999... - In Alternative Number Systems - Infinitesimals
... = 1 rely on the Archimedean property of the real numbers that there are no nonzero infinitesimals ... must be smaller than any positive rational number, so it must be an infinitesimal but since the reals do not contain nonzero infinitesimals, the difference ... coherent ordered algebraic structures, including various alternatives to the real numbers, which are non-Archimedean ...
Dual Number - Geometry - Cycles
... Given two dual numbers p, and q, they determine the set of z such that the Galilean angle between the lines from z to p and q is constant ... This set is a cycle in the dual number plane since the equation setting the difference in slopes of the lines to a constant is a quadratic equation in the real part of z, a ... In the Inversive ring geometry of dual numbers one encounters "cyclic rotation" as a projectivity on the projective line over dual numbers ...

Famous quotes containing the words numbers and/or dual:

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    Eric Hoffer (1902–1983)

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