everywhere defined
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Almost everywhere — In measure theory (a branch of mathematical analysis), one says that a property holds almost everywhere if the set of elements for which the property does not hold is a null set, i.e. is a set with measure zero, or in cases where the measure is… … Wikipedia
Densely-defined operator — In mathematics mdash; specifically, in operator theory mdash; a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often… … Wikipedia
Densely defined operator — In mathematics specifically, in operator theory a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often arise in… … Wikipedia
Distributed Objects Everywhere — (DOE) was a long running Sun Microsystems project to build a distributed computing environment based on the CORBA system in the back end and OpenStep as the user interface. First started in 1990 and announced soon thereafter, it remained… … Wikipedia
physical science, principles of — Introduction the procedures and concepts employed by those who study the inorganic world. physical science, like all the natural sciences, is concerned with describing and relating to one another those experiences of the surrounding… … Universalium
Abuse of notation — In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition (while being unlikely to introduce errors or cause confusion). Abuse of… … Wikipedia
Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… … Wikipedia
Discontinuous linear map — In mathematics, linear maps form an important class of simple functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are… … Wikipedia
Hellinger–Toeplitz theorem — In functional analysis, a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere defined symmetric operator on a Hilbert space is bounded. By definition, an operator A is symmetric if : langle A x | y angle = langle x | A … Wikipedia
Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical … Wikipedia
Groupoid — dablink|This article is about groupoids in category theory. For the algebraic structure with a single binary operation see magma (algebra). In mathematics, especially in category theory and homotopy theory, a groupoid is a simultaneous… … Wikipedia
