Sentence examples for the second variables from inspiring English sources

If, then Theorem 1.1 is also true; otherwise, we repeat the above process again and denote and the greatest lower bounds for the first and the second variables, respectively.

It should be noticed that, under the monotonicity assumption on f and g, the solution sets (operatorname{Sol}(C, f)) and (operatorname{Sol}(C, g)) of the equilibrium problems (operatorname{EP}(C, f)) and (operatorname{EP}(Q, g)) are closed convex sets whenever f and g are lower semicontinuous and convex with respect to the second variables.

The second variable was class.

This is mainly determined by the second variable: what's the donor getting in return?

The first variable provides classification into rough vegetation types while the second variable yields a direct estimate of the intensity of change that is related to flood dynamics.

For both cases model performance is evaluated for the second variable that closes the water balance.

The second variable we consider is religion.

provided that, and is decreasing both in the first variable and the second variable, where.

Obviously,,, are nondecreasing in the first variable, while decreasing in the second variable.

The second variable in this experiment was their clothing.

The other mapping is continuous in the second variable, and its union in the first variable is compact but not quasi-convex in the first variable.