algebraic multiplicity
91PHYSICS — The material presented in this entry emphasizes those contributions which were important in arriving at verified present day scientific results, rather than those that may have appeared important at the time. Unavoidably it will overlap in parts… …
92Set of uniqueness — M set redirects here. For the CityRail train, see CityRail M set. In mathematics, a set of uniqueness is a concept relevant to trigonometric expansions which are not necessarily Fourier series. Their study is a relatively pure branch of harmonic… …
93Abelian von Neumann algebra — In functional analysis, an Abelian von Neumann algebra is a von Neumann algebra of operators on a Hilbert space in which all elements commute. The prototypical example of an abelian von Neumann algebra is the algebra L^infty(X,mu) for μ a σ… …
94Imaginary unit — i in the complex or cartesian plane; real numbers fall on the horizontal axis, and imaginary numbers fall on the vertical axis In mathematics, the imaginary unit allows the real number system ℝ to be extended to the complex number system ℂ, which …
95Science in medieval Islam — In the history of science, Islamic science refers to the science developed under the Islamic civilization between the 8th and 16th centuries, during what is known as the Islamic Golden Age. [cite journal|first=A. I.|last=Sabra|authorlink=A. I.… …
96Paul Halmos — Halmos redirects here. For the mathematical symbol, see Tombstone (typography). Paul Halmos Born March 3, 1916 …
97Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …
98Symmetric space — In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains an inversion symmetry about every point. There are two ways to make this precise. In Riemannian… …
99combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …
100mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …
