evaluation map वाक्य

उदाहरण वाक्य

1. In this case, the evaluation map will be an embedding.
2. It is the coarsest topology on for which all evaluation maps, are continuous.
3. Then the image of the evaluation map forms a pseudocycle, which induces a well-defined homology class of the expected dimension.
4. The homology class defined by the evaluation map is independent of the choice of generic \ omega-tame J and perturbation \ nu.
5. More precisely, a topological vector space X is called "'stereotype "'if the evaluation map into the "'stereotype second dual space "'
6. If, however, we choose a nice infinite field then we can conclude that two polynomials are equal iff their evaluation maps are equal, and these " can " be composed.
7. Equivalently, it is the coarsest topology such that the evaluation maps T \ mapsto Tx ( taking values in " H " ) are continuous for each fixed " x " in " H ".
8. in terms of the diagonal map which induces the map \ Delta _ * on the chain complex, and \ varepsilon \ colon C _ p ( X ) \ otimes C ^ q ( X ) \ to \ mathbb { Z } is the evaluation map ( always 0 except for p = q ).
9. One can work around this difficulty in the particular situation at hand, since the above right-evaluation map does become a ring homomorphism if the matrix is in the center of the ring of coefficients, so that it commutes with all the coefficients of the polynomials ( the argument proving this is straightforward, exactly because commuting with coefficients is now justified after evaluation ).
10. More abstractly, the outer product is the bilinear map W \ times V ^ * \ to \ operatorname { Hom } ( V, W ) sending a vector and a covector to a rank 1 linear transformation ( simple tensor of type ( 1, 1 ) ), while the inner product is the bilinear evaluation map V ^ * \ times V \ to F given by evaluating a covector on a vector; the order of the domain vector spaces here reflects the covector / vector distinction.