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单词 hypersurface
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Examples ofhypersurface

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His object/paintings are in a flux of permanent conundrum, they anticipate and reach back into history while simultaneously repositioning history as future; ashypersurface.
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The normal line at a point of thehypersurfaceis defined only if the gradient is not null.
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For example, a light cone is a nullhypersurface.
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Geometrically is perpendicular to the level sets of, given by "c" which for some constant describes an -dimensionalhypersurface.
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Then draw a family of geodesics normal to thishypersurface.
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There, the interface that is represented is generally called ahypersurface(in three dimensions, it is simply called a surface).
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Since it is technically more cumbersome to work with surface areas, a version of the isoperimetric inequality expands thishypersurfaceinto a full-dimensional set.
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The 'non-oscillatory' part of the energy for the gradient flow model is chosen to be the interfacial energy (area of ahypersurface).
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Therefore, the mechanical constraint is mapped to ahypersurfacein kinematic image space.
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For example a family of hypersurfaces which arise from wiggling ahypersurfacein its ambient space.
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The characteristic exponents of a quasi-ordinary branch determine the embedded topological type of thehypersurfaceit defines.
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In this paper we generalize some of the above results to the more general class of analytically irreducible quasi-ordinaryhypersurfacegerms.
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So it is relevant to assume ahypersurfaceto be noncharacteristic.
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The set of characteristic points of a compacthypersurfacemay have a complicated structure.
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First, let us prove that thehypersurfacex1 = 0 is invariant.
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All of these methods begin with a snapshot of the gravitational fields on somehypersurface, the initial data, and evolve these data to neighboring hypersurfaces.
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Equivalently, the codimension of ahypersurfaceis one.
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Just as the surface of the cube consists of 6 square faces, thehypersurfaceof the tesseract consists of 8 cubical cells.
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The stereographic projection presents the quadrichypersurfaceas a rationalhypersurface.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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更新时间：2024/12/27 9:56:07