When multiplying x _ R ^ k = x ^ k _ T \ Omega _ k, this shrinks the row vector x _ T ^ k by discarding the zero entries.
32.
The "'tangent plane "'at a regular point is the unique plane passing through, and having a direction parallel to the two row vectors of the Jacobian matrix.
33.
Let the constraint f _ u be represented by its weighted truth table as a row vector and the constraint f _ v be represented by its weighted truth table as a column vector.
34.
A common convention in English language mathematics literature is to use row vectors of probabilities and right stochastic matrices rather than column vectors of probabilities and left stochastic matrices; this article follows that convention.
35.
:In some linear-algebra topics, however, it appears that column and row vectors have different meanings ( that appear to have something to do with covariance and contravariance of vectors ).
36.
The matrix product of the column vector representation of "'a "'and the row vector representation of "'b "'gives the components of their dyadic product,
37.
In which the last array is a block matrix formed by treating "'N "'as a row vector which matrix transposes to the column vector "'N "'
38.
The elements of the Hadamard exponent matrix lie in the Galois field \ mathit { GF ( p ) }, and its row vectors constitute the codewords of what shall be called a generalized Hadamard code.
39.
The decomposition is done the other way around, the first matrix is decomposed into column vectors " i " } } and the second matrix into row vectors " i " } }:
40.
The column space can be viewed as the dual space to the row space, since any linear functional on the space of column vectors can be represented uniquely as an inner product with a specific row vector.
