inverse image वाक्य
उदाहरण वाक्य
मोबाइल
- The envelope of this family of lines is a plane curve whose inverse image under the development is the edge of regression.
- They also demonstrate contravariant behavior with respect to proper maps-that is, maps such that the inverse image of every compact set is compact.
- In such cases the inverse image operation is often compatible with composition of these maps between objects, or in more technical terms is a functor.
- In order to remedy this, one defines in this situation for a sheaf of \ mathcal O _ Y-modules \ mathcal G its inverse image by
- It's instructive to do it also with the general topological definition of continuous functions ( inverse images of open sets are open ), where sequences are unnecessary.
- A function, then the quotient topology on " Y " is the collection of subsets of " Y " that have open inverse images under " f ".
- This introduction of some " slack " in the system of inverse images causes some delicate issues to appear, and it is this set-up that fibred categories formalise.
- As part of the predominating Grothendieck approach, there are three corresponding notions of " fiber " of a morphism : the first being the simple inverse image of a point.
- A uniformly continuous function is defined as one where inverse images of entourages are again entourages, or equivalently, one where the inverse images of uniform covers are again uniform covers.
- Note that each set in the countable intersection is an element of ? because it is the inverse image of a Borel subset under a ?-measurable function f _ k.
- A uniformly continuous function is defined as one where inverse images of entourages are again entourages, or equivalently, one where the inverse images of uniform covers are again uniform covers.
- Each such inverse image is formed by the 8 neighbors, along a fixed coordinate direction of the 7-cube, of the half of the Hamming code having a fixed weight, 0 or 1.
- In other words, an " E "-category is a fibred category if inverse images always exist ( for morphisms whose codomains are in the range of projection ) and are " transitive ".
- In mathematics, a "'quasiconvex function "'is a convex subset of a real vector space such that the inverse image of any set of the form (-\ infty, a ) is a convex set.
- A cleavage is called " normalised " if the transport morphisms include all identities in " F "; this means that the inverse images of identity morphisms are chosen to be identity morphisms.
- I tried taking a limit point of the range and a sequence converging to it and thereby tried to show that the limit point has an inverse image but nothing came out of it.
- Clayton's first vision is of a fearsome manlike figure in the distance, which turns out to be a vicious ape, the inverse image of his future son, an apelike figure who turns into a man.
- He helped lead the development of many of these photon-sorting techniques; he also leads a major effort dedicated to the development of three-dimensional inverse image reconstruction techniques using a sequence of time-resolved two-dimensional images for optical mammography.
- The " existence theorem " for the twisted inverse image is the name given to the proof of the existence for what would be the counit for the comonad of the sought-for adjunction, namely a natural transformation
- With respect to the algebra of subsets, by the above we see that the inverse image function is a lattice homomorphism while the image function is only a semilattice homomorphism ( it does not always preserve intersections ).
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