Sentence examples for orthogonal projects from inspiring English sources

Experimental factors and their levels for orthogonal projects were listed in Table 2(a), and conditions for each project and experimental results were indicated in Table 2(b).

where P Q : = E n − s − Q + Q is an ( n − s ) × ( n − s ) matrix (an orthogonal projection) projecting the space R n − s onto the kerQ.

where P Q ∗ : = E m − Q Q + is an m × m matrix (an orthogonal projection) projecting the space R m onto the ker Q ∗.

which is an orthogonal projection projecting space to of the matrix where is an identity matrix and an -dimensional matrix (3.18).

which is an orthogonal projection projecting space to of the transposed matrix where is an identity matrix and is an -dimensional matrix pseudoinverse to the -dimensional matrix.

where D : = X n − s ( a ) is an n × ( n − s ) constant matrix, rank P D ∗ = d = n − rank D, P D d ∗ is a d × n matrix consisting of d linearly independent rows of the n × n matrix P D ∗ : = E n − D D + (an orthogonal projection) projecting the space R n onto the cokerD.

Let (P_{N} L^{2}(Omega)rightarrow S_{N}) be an orthogonal projecting operator which satisfies (P_{N}u,v)= u,v),quad forall vin S_{N}.

Let P N : L 2 ( 0, 1 ) → S N be an orthogonal projecting operator which satisfies ( u − P N u, v ) = 0, ∀ v ∈ S N. (6).

Homothetic paradigm leans on a common notion of orthogonal projecting that is likely to be the most powerful concept in econometrics.

To learn uncorrelated features without loss of generality, training samples are subtracted to be zero-mean so that the constraint of uncorrelated features is the same as orthogonal projected features.

The defined above orthogonal projecting window and positivity operator are projectors onto convex sets, that is POCS operators [9], thus a composition (31). is a POCS operator as well.