definite metric
51Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …
52Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …
53Sub-Riemannian manifold — In mathematics, a sub Riemannian manifold is a certain type of generalization of a Riemannian manifold. Roughly speaking, to measure distances in a sub Riemannian manifold,you are allowed to go only along curves tangent to so called horizontal… …
54Hole argument — In general relativity, the hole argument is a paradox which much troubled Albert Einstein on the road to his famous field equation. It has recently been reinterpreted by philosophers as an argument against manifold substantialism , a doctrine… …
55mechanics — /meuh kan iks/, n. 1. (used with a sing. v.) the branch of physics that deals with the action of forces on bodies and with motion, comprised of kinetics, statics, and kinematics. 2. (used with a sing. v.) the theoretical and practical application …
56Divergence (statistics) — In statistics and information geometry, divergence or a contrast function is a function which establishes the “distance” of one probability distribution to the other on a statistical manifold. The divergence is a weaker notion than that of the… …
57Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other …
58Milne model — General relativity Introduction Mathematical formulation Resources Fundamental concepts …
59Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …
60Missouri River — Coordinates: 38°48′49″N 90°07′11″W / 38.81361°N 90.11972°W / 38.81361; 90.11972 …
