if ⁠ ( p , l ) ∈ I {\displaystyle (p,l)\in I} ⁠. It is a (finite) partial geometry if there are integers s , t , α ≥ 1 {\displaystyle s,t,\alpha \geq...

polygons, partial geometries and near polygons. Very general incidence structures can be obtained by imposing "mild" conditions, such as: A partial linear...

In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most...

variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f ( x ...

theory, Lie algebras and differential geometry are used to understand the structure of linear and nonlinear partial differential equations for generating...

In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a...

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at...

geometry and the theory of error-correcting codes in which the class of BCH codes is partly named after him. He also invented the notions of partial geometry...

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...

A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean...

Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements...

Look up collinearity or collinear in Wiktionary, the free dictionary. In geometry, collinearity of a set of points is the property of their lying on a single...

Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It...

ways of matching the remaining n − 2 {\displaystyle n-2} vertices. A partial geometry is a system of finitely many abstract points and lines, satisfying...

strongly regular girth-5 Moore graphs except the ones listed above. Partial geometry Seidel adjacency matrix Two-graph Brouwer, Andries E; Haemers, Willem...

In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are...

d points, and the incidence I is the natural inclusion. This is a partial geometry : p g ( q − d , q − q d , q − q d − d + 1 ) {\displaystyle pg(q-d,q-{\frac...

equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology...

n 2 ≥ e u . {\displaystyle {\frac {\partial ^{2}u}{\partial x_{1}^{2}}}+\cdots +{\frac {\partial ^{2}u}{\partial x_{n}^{2}}}\geq e^{u}.} Keller's motivation...

Books I through IV and VI of Euclid's Elements dealt with two-dimensional geometry, developing such notions as similarity of shapes, the Pythagorean theorem...

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....

In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional...

In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M where a (possibly asymmetric) Minkowski norm F(x...

fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations. Nash and fellow game theorists...

Computational geometry is a branch of computer science devoted to the study of algorithms that can be stated in terms of geometry. Some purely geometrical...

Riemannian geometries with intrinsic curvature, those exposed by the model spaces in hyperbolic geometry (negative curvature) and the geometry modeled by...

mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection...

In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object that is determined by a choice of Riemannian...

Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms...

contributions in number theory, complex analysis, differential geometry, and partial differential equations. The son of a teacher, Amédée Hadamard, of...