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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 ...
A reference dimension is a dimension on an engineering drawing provided for information only. [1] Reference dimensions are provided for a variety of reasons and are often an accumulation of other dimensions that are defined elsewhere [2] (e.g. on the drawing or other related documentation). These dimensions may also be used for convenience to ...
Scantling is a measurement of prescribed size, dimensions, or cross sectional areas.. When used in regard to timber, the scantling is (also "the scantlings are") the thickness and breadth, the sectional dimensions; in the case of stone it refers to the dimensions of thickness, breadth and length.
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
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
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
The component words of the polywords (in red) are continuous in the vertical dimension and are therefore catenae. They cannot, however, be construed as constituents since they do not form complete subtrees. The following trees illustrate idioms: The fixed words constituting the idiom (in red) build a catena each time.