orthogonal vector sentence in Hindi
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- Unlike PCA, this technique will not necessarily produce orthogonal vectors.
- Conversely, if, then is padded by orthogonal vectors from the kernel.
- Nonzero pairwise orthogonal vectors are always linearly independent.
- Many important results in linear algebra deal with collections of two or more orthogonal vectors.
- Let be the orthogonal vector field.
- Constructed the Suzuki groups as the subgroup of the symplectic group in 4 dimensions preserving a certain product on pairs of orthogonal vectors.
- Its rows are mutually orthogonal vectors with unit norm, so that the rows constitute an orthonormal basis of " V ".
- A similar approximation technique by trigonometric functions is commonly called Fourier expansion, and is much applied in engineering, see basis of orthogonal vectors.
- Lattice reduction algorithms aim, given a basis for a lattice, to output a new basis consisting of relatively short, nearly orthogonal vectors.
- A further generalization of the Pythagorean theorem in an inner product space to non-orthogonal vectors is the " parallelogram law ":
- Even if all singular values are nonzero, if then the cokernel is nontrivial, in which case is padded with orthogonal vectors from the cokernel.
- The private key is a basis B of a lattice L with good properties ( such as short nearly orthogonal vectors ) and a unimodular matrix U.
- The process is repeated until the chain of almost orthogonality breaks, and the number of such pairwise almost orthogonal vectors ( length of the chain ) is recorded.
- In general any two "'orthogonal states "'can be used, where an orthogonal vector pair is formally defined as one having a zero inner product.
- It is the built-in symmetry of the Cartesian coordinate system where coordinates are orthogonal vectors of unit length in flat Euclidean space that allows this generalization to apply so broadly.
- (where q \ geq 2 is an arbitrary natural number, and normalized means that the length of the vector is 1; usually s and n are orthogonal vectors ).
- To see that this is true, notice that the rows of " H " are all orthogonal vectors over the field of real numbers and each have length \ sqrt n.
- :P . S . A simple proof, but not aesthetically pleasing, is to take your " n " orthogonal vectors and place them into the columns of a matrix.
- The product "'e "'123 yields the bivector that is Hodge dual to in three dimensions, as discussed above, while "'e "'4 as a product of orthogonal vectors is also bivector valued.
- The cross product does not generalize to dimensions other than 3 as a product of two vectors, yielding a unique third orthogonal vector, and in higher dimensions not all " k "-vectors can be identified with vectors or scalars.
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