basis element sentence in Hindi
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- There are three basis elements, e, f, and h, with
- The tensor is the sum of its components multiplied by their basis elements.
- It is independent of basis elements, and requires no symbols for the indices.
- Let " T " be the bounded operator defined on basis elements by
- Let be the basis elements, then,
- The five basis elements of TL _ 3 ( \ delta ) are the following:
- Each basis element \ phi _ j can be connected to another, by the expression:
- The others can be obtained by permuting and changing the signs of the non-scalar basis elements.
- To define, choose a basis of, and let be the wedge product of these basis elements:
- A tensor may be expressed as a linear sum of the tensor product of vector and covector basis elements.
- Let us choose an expansion where the resulting basis elements interact with the environment in an element-specific way.
- The first three relations show that products of the ( non-real ) basis elements are anti-commutative.
- The coefficients appearing on these basis elements are sometimes known abstractly as the Fourier coefficients of the element of the space.
- Instead, tensors are defined by how their coordinates and basis elements change under a transformation from one coordinate system to another.
- For a full description of the remaining basis elements other than and of the Clifford algebra, please see the article Dirac algebra.
- A component of a tensor is a real number which is used as a coefficient of a basis element for the tensor space.
- :For ( 2 ), if you choose an orthonormal basis, the isometries are characterized by where they send those basis elements.
- The Virasoro algebra also has conformal algebraic counterparts, which basically come from arranging all the basis elements into generating series and working with single objects.
- For example, in two dimensions there are two orthogonal basis vectors, e _ 1, e _ 2 and the associated highest-grade basis element is
- In the case of finite fields, this means that each of the basis elements is related to any one of them by applying the characteristic of the field.
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