Sentence examples for a mesh function from inspiring English sources

(i) If a mesh function satisfies the conditions (2.5)  .

If a mesh function satisfies the conditions (2.5).

(i) If a mesh function on a time level satisfies the conditions (3.4)  .

If a mesh function on a time level satisfies the conditions (3.4).

For a mesh function (uin Z^{0}_{h}), by the Cauchy-Schwarz inequality, we have begin{aligned} Vert delta_{ddot{x}}uVert ^{2}leq Vert delta_{hat{x}}uVert ^{2}leq Vert delta_{x}u Vert ^{2}.

The operator defined in (4.1) satisfies a discrete maximum principle for sufficiently large N, that is, if y is a mesh function satisfying (y_{0}geq 0), (y_{N}geq 0), and (Lambda y_{i}geq 0) for (1leq i < N), then (y_{i}geq 0) for all i.

For any mesh function defined on, we use (3.4).

Define the following finite differences for any mesh function given on by (3.2).

For any mesh function (mathbf{u} in mathcal{W}_{h}^{0}), it holds that (- mathbf{A}mathbf{u}, mathbf{u}) leq - mathbf{HA} mathbf{u}, mathbf{u})).

Choose an initial mesh function.

Choose an initial mesh function, then the iterative sequence,, is defined by the recurrence formulae (2.27).