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The inductive dimension of a topological space may refer to the small inductive dimension or the large inductive dimension, and is based on the analogy that, in the case of metric spaces, (n + 1)-dimensional balls have n-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries of open sets. Moreover ...
Two-dimensionalism is an approach to semantics in analytic philosophy.It is a theory of how to determine the sense and reference of a word and the truth-value of a sentence.It is intended to resolve the puzzle: How is it possible to discover empirically that a necessary truth is true?
Once trained, such a model can detect synonymous words or suggest additional words for a partial sentence. Word2vec was developed by Tomáš Mikolov and colleagues at Google and published in 2013. Word2vec represents a word as a high-dimension vector of numbers which capture relationships between words
In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.
Dimension (vector space), a property of vector spaces; Bipartite dimension, an intrinsic property of undirected graphs; Fractal dimension, a property of fractals; Global dimension, a homological property of mathematical rings; Krull dimension, an ideal property of mathematical rings; Order dimension, a property of partially ordered sets
In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.
A diagram of dimensions 1, 2, 3, and 4. In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. [1] [2] It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.
IMH, "Dimension" should be avoided because of the ambiguity with the common meaning of the word (dimension of an object), "Dimension (mathematics and physics)" is too long and too restrictive (there is a section "Literature" in the article). I suggest Dimension of a space, but a consensus is needed. D.Lazard 17:45, 9 November 2012 (UTC)