left multiplication वाक्य
उदाहरण वाक्य
मोबाइल
- Then acts by left multiplication on the product of coset spaces.
- The free group acts by left multiplication on the semi-infinite words.
- Any acting on itself by left multiplication.
- The left multiplication by quaternions is linear.
- In the case when the endomorphism ring, where each endomorphism arises as left multiplication by a fixed ring element.
- An equivalent definition of a principal-bundle is as a-bundle with fiber where the structure group acts on the fiber by left multiplication.
- The group G acts on itself by left multiplication : the action of each k \ in G takes each g \ in G to kg.
- There is an obvious one-dimensional quaternionic vector space, namely the space "'H "'of quaternions themselves under left multiplication.
- Indeed, it represents the left multiplication action of the versor on quaternions that preserves the plane ? and the corresponding great circle of 3-vectors.
- A further complication with quaternion representations of fermions is that there are two types of multiplication : left multiplication and right multiplication which must be taken into account.
- Briefly, this is because every-orbit admits representatives of the form, and the representative is determined only up to left multiplication by an element of.
- It is possible to restate the characteristic property of a cancellative element in terms of a property held by the corresponding left multiplication and right multiplication maps defined by,.
- If one takes " F " & prime; to be " G " with the action of left multiplication then one obtains the associated principal bundle.
- Remark : Some intuition for the mean ergodic theorem can be developed by considering the case where complex numbers of unit length are regarded as unitary transformations on the complex plane ( by left multiplication ).
- Two sets of coordinates represent the same point if they are'proportional'by a left multiplication by a non-zero quaternion " c "; that is, we identify all the
- The integral curves or fibers respectively are certain " pairwise linked " great circles, the orbits in the space of unit norm quaternions under left multiplication by a given unit quaternion of unit norm.
- The natural action of group " G " 1 above and its action on itself ( via left multiplication ) are not equivalent as the natural action has fixed points and the second action does not.
- Every topological group can be viewed as a uniform space in two ways; the " left uniformity " turns all left multiplications into uniformly continuous maps while the " right uniformity " turns all right multiplications into uniformly continuous maps.
- :There is a natural action of R on itself by left multiplication; this action descends to an action of R on R / I by left multiplication . ( Explicitly, r acts on x + I by sending it to rx + I, using the additive notation for cosets.
- :There is a natural action of R on itself by left multiplication; this action descends to an action of R on R / I by left multiplication . ( Explicitly, r acts on x + I by sending it to rx + I, using the additive notation for cosets.
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