linear independence वाक्य
उदाहरण वाक्य
मोबाइल
- A geographic example may help to clarify the concept of linear independence.
- I don't think that this is a sufficient condition to ensure linear independence.
- Matrix methods are significantly limited for MIMO systems where linear independence cannot be assured in the relationship between inputs and outputs.
- In the base space, this linear independence manifests as each point lying outside the object defined by the other points.
- The linear independence of the columns of a generator matrix of an MDS code permits a construction of MDS codes from objects in finite projective geometry.
- So, to get linear independence all non zero m-tuples with one as a top most non zero element will be chosen as columns.
- Clearly, any block-diagonal matrices constructed from involutory matrices will also be involutory, as a consequence of the linear independence of the blocks.
- If 0 } }, then the previous theorem implies that would be in the-span of, contradicting the-linear independence of, therefore.
- By the Gram Schmidt process, it is the same to ask for ( pointwise ) linear independence or fields that give an orthonormal basis at each point.
- It certainly satisfies the properties mentioned in the introduction to wedge product to do with linear independence .-- talk ) 15 : 22, 29 March 2008 ( UTC)
- Orthogonality ( hence also orthonormality ) of wave functions is not a necessary condition wave functions must satisfy, but is instructive to consider since this guarantees linear independence of the functions.
- If the eigenvalues have an algebraic multiplicity greater than 1, then repeat the process, but now multiplying by an extra factor of for each repetition, to ensure linear independence.
- When the \ ell'replace the \ ell, both the linear independence and spanning properties for infinite basis sets follow from present " outer condition " and conversely.
- His work on matroids culminated in the paper " Representation of matroids " published in 1969 . In his work Ingleton studied matroids as a generalization of the concept of linear independence.
- This analogy can be made more formal, by observing that linear independence in vector spaces and algebraic independence in field extensions both form examples of matroids, called linear matroids and algebraic matroids respectively.
- An important application is to compute linear independence : a set of vectors is linearly independent if and only if the Gram determinant ( the determinant of the Gram matrix ) is non-zero.
- I can get to working out what the formulas would be, and I think you just assume linear independence between the error terms and the independent variable, allowing the substitutions to be easier.
- On the contrary, linear independence is a mere instance of present independence, which becomes equivalent to it in such vector spaces . ( Also, several other generalizations of linear independence for universal algebras do not imply present independence .)
- On the contrary, linear independence is a mere instance of present independence, which becomes equivalent to it in such vector spaces . ( Also, several other generalizations of linear independence for universal algebras do not imply present independence .)
- One new point is computed on each iteration, usually by solving a trust region subproblem subject to the bound constraints, or alternatively, by choosing a point to replace an interpolation point so as to promote good linear independence in the interpolation conditions.
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