linear-fractional mapping

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• Fractional cascading — In computer science, fractional cascading is a technique to speed up a sequence of binary searches for the same value in a sequence of related data structures. The first binary search in the sequence takes a logarithmic amount of time, as is… …   Wikipedia

• Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

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• Schwarzian derivative — In mathematics, the Schwarzian derivative is a certain operator that is invariant under all linear fractional transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and… …   Wikipedia

• SL2(R) — In mathematics, the special linear group SL2(R) is the group of all real 2 times; 2 matrices with determinant one:: mbox{SL} 2(mathbb{R}) = left{ egin{bmatrix}a b c dend{bmatrix} : a,b,c,dinmathbb{R}mbox{ and }ad bc=1 ight}.It is a real Lie… …   Wikipedia

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• Mathieu group — Group theory Group theory …   Wikipedia

• Classical modular curve — In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y)=0, where for the j invariant j(τ), x=j(n τ), y=j(τ) is a point on the curve. The curve is sometimes called X0(n), though often… …   Wikipedia

• Bieberbach conjecture — In complex analysis, the Bieberbach conjecture or de Branges s theorem, asked by harvs|txt|first=Ludwig |last=Bieberbach|authorlink=Ludwig Bieberbach|year=1916 and proved by harvs|txt|authorlink=Louis de Branges de Bourcia|first=Louis |last=de… …   Wikipedia

• Minkowski's question mark function — Minkowski question mark function. ?(x) is on the left and ?(x) x is on the right. In …   Wikipedia