| 21. | Here is the composite Lorentz factor, and and are 3? column vectors proportional to the composite velocities.
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| 22. | For more on the treatment of row vectors and column vectors of multivariable functions, see matrix calculus.
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| 23. | So what precisely constitutes a " column vector " ( or spinor ) also depends on such arbitrary choices.
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| 24. | The dimensions of the row and column spaces equals the number of entries in the row or column vector.
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| 25. | The column vector gives the Fourier co-efficients for all points on the grid at a given frequency.
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| 26. | The matrix transformations mount up to the left in this use of a column vector for input to matrix transformation.
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| 27. | Point coordinates may be written as column vectors, T, with colons,, or with a subscript,.
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| 28. | Using column vector representation of ( reciprocal ) primitive vectors, the formulae above can be rewritten using matrix inversion:
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| 29. | To solve for the transformation parameters the equation above can be rewritten to gather the unknowns into a column vector.
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| 30. | The application of the Gram Schmidt process to the column vectors of a full column orthogonal and a triangular matrix ).
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