| 单词 | homotopy |
| 释义 | BETA Examples ofhomotopyDictionary> Examples ofhomotopy homotopyisn’t in the Cambridge Dictionary yet. You can help! Add a definition This will imply thehomotopyinvariance of the real-valued index. From theCambridge English Corpus Its elements are circular paths (continuous images of a circle with orientation) identified up to continuous deformations (homotopy). From theCambridge English Corpus Thehomotopyfunctor seems unsatisfactory for investigating vectors of more than two processes. From theCambridge English Corpus Then is a contractinghomotopyfor the complex of essential chains, so this complex is a resolution. From theCambridge English Corpus The paths and thehomotopycan be assumed smooth. From theCambridge English Corpus Then induces an isomorphism of the firsthomotopygroups of the underlying surfaces. From theCambridge English Corpus The goal will be to find a reasonable representative map in a givenhomotopyclass which somehow carries the minimal dynamical information for that class. From theCambridge English Corpus Our goal is to define variation and degeneration operators onhomotopy. From theCambridge English Corpus Finally, we revisit the question of entropy stability for fully discrete schemes using a different approach based onhomotopyarguments. From theCambridge English Corpus In algebraic topology,homotopyis a continuous deformation of mappings; in particular, two paths are homotopic if one can be continuously deformed into the other. From theCambridge English Corpus Section 6 describes the crucial relationship betweenhomotopyvariation and degeneration operators. From theCambridge English Corpus Moreover, the equivariant homomorphisms and are unique up to smoothhomotopy. From theCambridge English Corpus The assertion that and are uniquely defined up to smoothhomotopyfollows from the more general statement about the lifting of homotopies. From theCambridge English Corpus It follows that itself is a covarianthomotopyequivalence. From theCambridge English Corpus The entropy stability results in this section are based on ahomotopyapproach. From theCambridge English Corpus The marked length spectrum of is the map associating the length of the closed orbit to thehomotopyclass. From theCambridge English Corpus 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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