In geometry, Pick's theorem provides a formula for the area of a simple polygon with integer vertex coordinates, in terms of the number of integer points...

Schleisinger and Adolf Josef Pick and died at Theresienstadt concentration camp. Today he is best known for Pick's theorem for determining the area of...

lattice is coarsely equivalent to Euclidean space. Pick's theorem, first described by Georg Alexander Pick in 1899, provides a formula for the area of a simple...

to itself. The lemma is less celebrated than deeper theorems, such as the Riemann mapping theorem, which it helps to prove. It is, however, one of the...

in 1957 used them to show that higher-dimensional generalizations of Pick's theorem do not exist. All vertices of a Reeve tetrahedron are lattice points...

side lengths (Heron's formula), vectors, coordinates, line integrals, Pick's theorem, or other properties. Heron of Alexandria found what is known as Heron's...

Schwarz–Ahlfors–Pick theorem is an extension of the Schwarz lemma for hyperbolic geometry, such as the Poincaré half-plane model. The Schwarz–Pick lemma states...

by Alicia K. Harris Pick operating system, a computer operating system Pick's disease, a neurodegenerative disease Pick's theorem in geometry Sertoli...

Ehrhart polynomials can be seen as a higher-dimensional generalization of Pick's theorem in the Euclidean plane. These polynomials are named after Eugène Ehrhart...

(represented with the four red dots) with an area of exactly one grid square (Pick's theorem gives 0  + ⁠4 /2⁠ − 1 = 1), so the "missing" area. According to Martin...

has motivated various attempts to generalise Nevanlinna and Pick's result. The Nevanlinna–Pick problem can be generalised to that of finding a holomorphic...

angle Holditch's theorem Interactive geometry software Involutes Goat grazing problem Parallel postulate Polygon Star polygon Pick's theorem Shape dissection...

digital images). Study of properties of digital sets; see, for example, Pick's theorem, digital convexity, digital straightness, or digital planarity. Transforming...

geometry: Polyhedral combinatorics Lattice polytopes Ehrhart polynomials Pick's theorem Hirsch conjecture Opaque set Packings, coverings, and tilings are all...

polygon. These include the shoelace formula for arbitrary polygons, and Pick's theorem for polygons with integer vertex coordinates. The convex hull of a simple...

fairy chess piece the wazir form a square lattice graph. Lattice path Pick's theorem Integer triangles in a 2D lattice Regular graph Weisstein, Eric W. "Lattice...

conjectured to be PPP complete. Danzer set Pick's theorem Dirichlet's unit theorem Minkowski's second theorem Ehrhart's volume conjecture Olds, C. D.; Lax...

numbers Minkowski's theorem Pick's theorem Mahler's compactness theorem Mahler measure Effective results in number theory Mahler's theorem Brun sieve Function...

polygon and b is the number of boundary points. This result is known as Pick's theorem. The area between a positive-valued curve and the horizontal axis, measured...

analysis) Picard–Lindelöf theorem (ordinary differential equations) Pick's theorem (geometry) Pickands–Balkema–de Haan theorem (extreme value theory)...

the origin in the square of side 2n, centered at the origin. Using Pick's theorem, the area of the sunburst is 4(|Fn| − 1), where |Fn| is the number of...

an equally spaced grid such that all its vertices are grid points, Pick's theorem gives a simple formula for the polygon's area based on the numbers of...

normals may be derived using the divergence theorem (see Polyhedron § Volume). Planimeter Polygon area Pick's theorem Heron's formula Mathologer video about...

the Coase theorem (/ˈkoʊs/) describes the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem is significant...

measurement with random placements. According to Pick's theorem, published by Georg Alexander Pick in 1899, the version of the dot planimeter with boundary...

the area of a shape by counting the lattice points that it contains Pick's theorem, a more precise relationship between area and lattice points covered...

a similar transparency-based device for estimating area, based on Pick's theorem Maling, D. H. (2016), Measurements from Maps: Principles and Methods...

In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc between two endpoints, there is...

Ren, Ding; Reay, John R. (1987). "The boundary characteristic and Pick's theorem in the Archimedean planar tilings". J. Comb. Theory A. 44 (1): 110–119...

not separated by any point of a lattice and the slope of the lines, Pick's theorem relating the area of a lattice polygon to the number of lattice points...