Schwarz triangle function information

complex analysis, the Schwarz triangle function or Schwarz s-function is a function that conformally maps the upper half plane to a triangle in the upper half...

theorem Schwarz reflection principle Schwarz triangle Schwarz triangle function Cauchy–Schwarz inequality Theorem of Pohlke and Schwarz Schwarz, H. A....

In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere (spherical tiling), possibly overlapping...

In geometry, an isosceles triangle (/aɪˈsɒsəliːz/) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides...

Schwarzian derivative (Hille 1976, pp. 307–401). The Schwarz triangle maps or Schwarz s-functions are ratios of pairs of solutions. s k ( z ) = ϕ k ( 1...

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length...

diverge. The Schwarz lantern demonstrates that sampling a curved surface by close-together points and connecting them by small triangles is inadequate...

differential equation and f(z) is the Schwarz triangle function, which can be written in terms of hypergeometric functions. For a quadrilateral the accessory...

of triangle groups, of which 12 are Hurwitz groups (quotients of the (2,3,7) group). Schwarz triangle The Schwarz triangle map is a map of triangles to...

triangle Regiomontanus Regiomontanus' angle maximization problem Reuschle's theorem Right triangle Routh's theorem Scalene triangle Schwarz triangle Schiffler's...

theorem Schwarzian derivative Schwarz triangle map Schwarz reflection principle Additive Schwarz method See his paper (Schwarz 1870b) See the paper (Mikhlin...

the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R , {\displaystyle f\colon U\to \mathbb...

true distance metric as it does not exhibit the triangle inequality property—or, more formally, the Schwarz inequality—and it violates the coincidence axiom...

Becker and Schwarz, p. 1 Zwiebach, p. 6 Becker, Becker and Schwarz, pp. 2–3 Becker, Becker and Schwarz, pp. 9–12 Becker, Becker and Schwarz, pp. 14–15...

functions. Elliptic curve Schwarz–Christoffel mapping Carlson symmetric form Jacobi theta function Ramanujan theta function Dixon elliptic functions Abel...

Every triangle has a unique Steiner inellipse – an ellipse inside the triangle and tangent to the midpoints of the three sides of the triangle. The foci...

{sm} (0)=0} Or as the inverse of the Schwarz–Christoffel mapping from the complex unit disk to an equilateral triangle, the Abelian integral: z = ∫ 0 sm...

{\displaystyle f+g} is in L p ( S ) , {\displaystyle L^{p}(S),} and we have the triangle inequality ‖ f + g ‖ p ≤ ‖ f ‖ p + ‖ g ‖ p {\displaystyle \|f+g\|_{p}\leq...

between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles...

exceptional Schwarz triangles (triangles that tile the sphere, or more generally Euclidean plane or hyperbolic plane via their triangle group of reflections...

disphenoids are equilateral triangles, it can be constructed from a stretched triangular tiling net with four triangles in one direction and an even...

contexts, the "(2,3,7) triangle group" most often refers, not to the full triangle group Δ(2,3,7) (the Coxeter group with Schwarz triangle (2,3,7) or a realization...

analyze homomorphism densities is the Cauchy–Schwarz inequality. The effect of applying the Cauchy-Schwarz inequality is "folding" the graph over a line...

PDE on these subdomains Additive Schwarz method Abstract additive Schwarz method — abstract version of additive Schwarz without reference to geometric information...