TRANSFORMATION OF TEXT NATURAL LANGUAGE INFORMATION ON THE BASIS OF VERBAL SEMANTIC UNITS
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In the article described mechanism of text information on natural language transformation for purposes of processing by computer systems word constructions with different particular words senses but the same common sense. Transformation is based on the set of semantic nodes patterns, which can be lain on actual natural language text information.Keywords:
Basis (linear algebra)
Hough Transform
Basis (linear algebra)
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The use of an artificial basis for the simplex method was suggested in an early paper by Dantzig. The idea is based on an observation that certain bases, which differ only in a relatively few columns from the true basis, may be easily inverted. Such artificial bases can then be exploited when carrying out simplex iterations. This idea was originally suggested for solving structured linear programming problems, and several approaches, such as Beale's method of pseudo-basic variables, have indeed been presented in the literature.
In this paper, we shall not consider the structure explicitly; rather its exploitation in our case is expected to result directly from the choice of an artificial basis. We shall consider this basis to remain unchanged over a number of simplex iterations. In particular, this basis may be chosen as the true basis which has been most recently reinverted. In such a case our approach yields an interpretation for a basis representation recently proposed by Bisschop and Meeraus who point out very favorable properties regarding the build-up of nonzero elements in the basis representation.
Our approach utilizes an auxiliary basis, which is small relative to the true basis, and whose dimension may change from one iteration to another. We shall finally develop an updating scheme for a product form representation of the inverse of such an auxiliary basis.
Basis (linear algebra)
Representation
Simplex
Basis function
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Isogonal Basis is a generalization for the orthogonal basis.The properties of isogonal basis and orthogonal basis are similar.So discussing the property of isogonal basis can give us a tool of analyzing Euclidean space and deepen apprehend of Euclidean space for us.This paper mainly extends the property of orthogonal basis to isogonal basis and gets five principles.
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In the field of vocational education,Jiang Nanping is the advocate of wide basis while Zhang Jian first used architectural basis concept against wide basis,then put forward the concept of root basis which is completely separated from wide basis.This paper holds that wide basis and root basis both belong to biological basis concept.There is no need to separate wide basis from root basis.The aim of emphasizing the building of wide basis is to serve the flexible career life in the growth period of vocational schools and to increase the school attraction.Such wide basis is necessary for degree-based vocational education.
Basis (linear algebra)
Root (linguistics)
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The spherical harmonic (SH) basis has been widely used for representing relighting data. However, under some situations, the magnitudes of the estimated SH coefficients could be very large. Hence, relit images are very sensitive to quantisation (or compression) noise of these estimated SH coefficients. To tackle this issue, this study proposes a new spherical basis, namely eigen hemispherical harmonic (EHSH) basis. Its approximation ability is the same as that of the SH basis. With this new basis, the magnitudes of the estimated coefficients are controllable. Hence, the artefacts in the relit images can be suppressed. Besides, the transform from the classical hemispherical SH coefficients to the EHSH coefficients is discussed. Finally, the authors present the way to relight images based on the EHSH basis.
Basis (linear algebra)
Basis function
Harmonic
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The purpose of this note is to introduce interesting and useful properties differential-basis and p-basis in theorem 3.3. The result gives a existence differential basis of $S^P$ [$[{\Lambda}_1]$ ](S) which has a p-basis over $S^p$ ($S^p[{\Lambda}_1]$ ).
Basis (linear algebra)
Basis function
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Basis (linear algebra)
Basis function
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The properties and concrete structures of subquantale are studied.The concepts of a dense subset and a basis on Quantale are introduced.The relationship between dense subsets and basis and the properties of dense subset and basis are discussed.
Basis (linear algebra)
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The key point of trajectory basis based Non-Rigid Structure from Motion (NRSFM) is how to tune the basis size and how to choose the best basis combination. If the basis size is too small, the trajectory is poorly represented by the basis. But too large basis size makes the system more ill-conditioned and the reconstruction error becomes unbounded. In this paper, an automatic method is proposed to select the trajectory basis, which can select appropriate basis size. The experiment results show that, compared with the empirical value from a lot of repeated experiments, the proposed method can improve both reconstruction accuracy and efficiency of NRSFM.
Basis (linear algebra)
Basis function
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