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

0.999... - In Alternative Number Systems - Infinitesimals

... = 1 rely on the Archimedean property of the real

... = 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 ... ordered algebraic structures, including various alternatives to the real**numbers**, which are non-Archimedean ...Dual Number - Geometry - Cycles

... Given two

... 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 ... In the Inversive ring geometry of**dual numbers**one encounters "cyclic rotation" as a projectivity on the projective line over**dual numbers**...Dual Quaternion - Formulas

... In order to describe operations with

... In order to describe operations with

**dual**quaternions, it is helpful to first consider quaternions ... 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 ... quaternion product of A = a0 + A and C = c0 + C as A**dual**quaternion is usually described as a quaternion with**dual numbers**as coefficients ...### Famous quotes containing the words numbers and/or dual:

“One murder makes a villain, millions a hero. *Numbers* sanctify, my good fellow.”

—Charlie Chaplin (1889–1977)

“Thee for my recitative,

Thee in the driving storm even as now, the snow, the winter-day

declining,

Thee in thy panoply, thy measur’d *dual* throbbing and thy beat

convulsive,

Thy black cylindric body, golden brass and silvery steel,”

—Walt Whitman (1819–1892)

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