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loxodrom
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There are 8 letters in LOXODROM ( D2L1M3O1R1X8 )
To search all scrabble anagrams of LOXODROM, to go: LOXODROM?
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In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form* * * * f * ( * z * ) * = * * * * a * z * + * b * * * c * z * + * d * * * * * * {\displaystyle f(z)={\frac {az+b}{cz+d}}} * of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0. * Geometrically, a Möbius transformation can be obtained by first performing stereographic projection from the plane to the unit two-sphere, rotating and moving the sphere to a new location and orientation in space, and then performing stereographic projection (from the new position of the sphere) to the plane. * These transformations preserve angles, map every straight line to a line or circle, and map every circle to a line or circle. * The Möbius transformations are the projective transformations of the complex projective line. They form a group called the Möbius group, which is the projective linear group PGL(2,C). Together with its subgroups, it has numerous applications in mathematics and physics. * Möbius transformations are named in honor of August Ferdinand Möbius; they are also variously named homographies, homographic transformations, linear fractional transformations, bilinear transformations, or fractional linear transformations. |