Sentence examples for matrix and y from inspiring English sources

where G ∈ R N × ( N + M ) is the generator matrix and y ∈ R ( N + M ) is the encoded signal.

where R = [R1R2... R d ] is the projection matrix and Y = [Y1Y2... Y d ] is the fractal feature matrix produced after applying 2DPCA.

where the coefficient matrix A = ( a i j ), 1 ≤ i, j ≤ n is a crisp n × n matrix and y i ∈ E, 1 ≤ i ≤ n.

Here, (mathbb {R}) is the set of real numbers, (A in mathbb {R}^{m times n}, ; m < n) is a sensing matrix, and (y in mathbb {R}^{m}) is the observation or measurement data.

OA = left( {frac{X }{y}} right)*100 (1)where, OA is overall accuracy, X is number of correct values in the diagonals of the matrix, and Y is total number of values taken as a reference point.

Then, the data acquisition process of the conventional CS algorithm is defined as follows: {y}_{Mtimes 1}={varPhi}_{Mtimes N}{varPsi}_{Ntimes N}{theta}_{Ntimes 1}, (5 where Φ M × N  ∈ ℝ M × N  (M < N) is defined as the measurement matrix and y M × 1  ∈ ℝ M × 1 is treated as measurements.

The score matrices result from projection of the data matrices X and Y on loading matrices.

For any real matrices X and Y, the following matrix inequality holds: X^{T}Y + Y^{T}X le X^{T}X + Y^{T}Y.

MMMs are fabricated using polyimide (PI) as matrix material and Y zeolites as adsorptive functional materials.

For a real asymmetric matrix X and Y, the notation (X > Y) (respectively, (X geqslant Y)) means (X - Y) is semi-positive definite (respectively, positive definite).

Further variables were entered as continuous variables into the design matrix: x and y position, distance from predator, and number of collected tokens.