Sentence examples for definition of projection from inspiring English sources

The fifth line in (24) is according to the definition of projection.

Since x k is the projection of x 0 onto C ∩ C k − 1 ∩ H k − 1 and (iii), by the definition of projection, we have ∥ x k − x 0 ∥ ≤ ∥ x ∗ − x 0 ∥ ∀ x ∗ ∈ Sol ( f, C ).

From the definition of projection operator, it follows that begin{aligned} bigllangle y-P_{K}(x), P_{K}(x -x bigrrangle geq0, quad forall yin K, x -xathbigrrangle

For each the definition of projection just needs the first points of the sequence ordered in an increasing way that will be denoted by, and in addition we will write.

(iv) Since x k is the projection of x 0 onto C ∩ C k − 1 ∩ H k − 1 and (iii), by the definition of projection, we have ∥ x k − x 0 ∥ ≤ ∥ x ∗ − x 0 ∥ ∀ x ∗ ∈ Sol ( f, C ).  .

Since (x^{k+1}) is the projection of (x^{0}) onto (H_{k}^{1}cap H_{k}^{2} cap X), by Lemma 3.2 and the definition of projection, we have biglVert x^{k+1}-x^{0} bigrVert leq biglVert x^-x^{0} bigrVert, quadforall x^in K^.

They extended the definition of generalized projection operators introduced by Abler [16] and proved the properties of the generalized f-projection operator.

They extended the definition of generalized projection operators introduced by Abler [7] and proved some properties of the generalized f-projection operator.

Now people use blue screen most of the time because of the loss of definition of back projection.

For the definition of the projection operator, we have (3.19).

Since (x^{k+1}in H_{k}^{2}), from the definition of the projection operator it is obvious that P_{H_{k}^{2}}bigl(x^{k+1}bigr)=x^{k+1}.