ordered basis造句
例句與造句
- Every ordered basis lives in one equivalence class or another.
- When the space is zero-dimensional, its ordered basis is empty.
- After an order is chosen, the basis can be considered an ordered basis.
- For many purposes it is convenient to work with an "'ordered basis " '.
- A linear isomorphism is determined by its action on an ordered basis or "'frame " '.
- It's difficult to find ordered basis in a sentence. 用ordered basis造句挺難的
- A frame ( or, in more precise terms, a tangent frame ) is an ordered basis of particular tangent space.
- Since there is no preferred way to choose an ordered basis of a vector space, a frame bundle lacks a canonical choice of identity cross-section.
- Thus any choice of a privileged ordered basis for " V " determines an orientation : the orientation class of the privileged basis is declared to be positive.
- Because there is only a single ordered basis \ emptyset, a zero-dimensional vector space is the same as a zero-dimensional vector space with ordered basis.
- Because there is only a single ordered basis \ emptyset, a zero-dimensional vector space is the same as a zero-dimensional vector space with ordered basis.
- We then speak of an "'ordered basis "', which we define to be a sequence ( rather than a Ordered bases and coordinates " below.
- If all zero-dimensional vector spaces are assigned this orientation, then, because all isomorphisms among zero-dimensional vector spaces preserve the ordered basis, they also preserve the orientation.
- In this setting, the orientation of an ordered basis is a kind of asymmetry that makes a right-handed and left-handed ( or right-chiral and left-chiral ).
- Note the above isomorphism is canonical : if one is given a module homomorphism between finite-rank free modules, then a choice of an ordered basis corresponds to a choice of an isomorphism F \ simeq R ^ n.
- Consider the map " f " from " V " to " V " that proceeds by writing a vector in coordinates according to this ordered basis, squaring each of those coordinates, and then finding the vector in " V " that has those new coordinates.
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