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infinite-dimensional space

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  • Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… …   Wikipedia

  • Infinite-dimensional optimization — In certain optimization problems the unknown optimal solution might be not a number or a vector, but rather a continuous quantity, for example a function or the shape of a body. Such a problem is an infinite dimensional optimization problem,… …   Wikipedia

  • There is no infinite-dimensional Lebesgue measure — In mathematics, it is a theorem that there is no analogue of Lebesgue measure on an infinite dimensional space. This fact forces mathematicians studying measure theory on infinite dimensional spaces to use other kinds of measures: often, the… …   Wikipedia

  • Three-dimensional space — is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth (or height), although any three mutually perpendicular directions can serve as the three dimensions. A three… …   Wikipedia

  • Fixed point theorems in infinite-dimensional spaces — In mathematics, a number of fixed point theorems in infinite dimensional spaces generalise the Brouwer fixed point theorem. They have applications, for example, to the proof of existence theorems for partial differential equations. The first… …   Wikipedia

  • Fixed-point theorems in infinite-dimensional spaces — In mathematics, a number of fixed point theorems in infinite dimensional spaces generalise the Brouwer fixed point theorem. They have applications, for example, to the proof of existence theorems for partial differential equations. The first… …   Wikipedia

  • Zero-dimensional space — In mathematics, a topological space is zero dimensional or 0 dimensional, if its topological dimension is zero, or equivalently, if it has a base consisting of clopen sets. A zero dimensional Hausdorff space is necessarily totally disconnected,… …   Wikipedia

  • Space — • The idea of space is one of the most important in the philosophy of the material world; for centuries it has preoccupied and puzzled philosophers and psychologists Catholic Encyclopedia. Kevin Knight. 2006. Space     Space …   Catholic encyclopedia

  • SPACE AND PLACE (in Jewish Philosophy) — SPACE AND PLACE (in Jewish Philosophy). Philo The term place has three meanings for philo , one physical and two theological: (1) the space taken up by a body, (2) the divine logos , and (3) God Himself (Som. 1:11, 62–64). The first definition is …   Encyclopedia of Judaism

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …   Wikipedia

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