Sentence examples for the relation involves from inspiring English sources

The relation involves an effective elastic material law (N varepsilon)), (varepsiloninmathbb{R}) for the truss model in (3.5a).

The most natural and convenient way to express the relation involves the algebraic concept of exact sequences: sequences of objects (in this case groups) and morphisms (in this case group homomorphisms) between them such that the image of one morphism equals the kernel of the next.

Using the initial conditions, we obtain an algebraic equation whose solution is given by F ( s ) = G ( s ) ( s + b ) 2 + a 2. By means of the convolution product and the relation involving the inverse Laplace transform L − 1 [ 1 ( s + b ) 2 + a 2 ] = exp ( − b x ) a sin a x, we get y ( x ) = 1 a ∫ 0 x e − b ( x − ξ ) sin [ a ( x − ξ ) ] f d ξ. which is exactly Eq. (5).

The most interesting possibility is that gesture might nonetheless reveal spatial analogies that is, spatial models of relational structure even though the relations involved in positive and negative feedback are not inherently spatial.

And so on for the relations involved in other paradigmatic relational situations.

Here we investigate the possibility that people reason about such causal patterns in part by using spatial analogies that is, spatial models of the relations involved.

Any other instance of a class is assumed to have the relations involving the prototype instance of the class as well as the relations in the prototype instances of the super-classes.

However, the modulus ratio obtained from the relations involving the joint factor, Jf, indicate a definite decrease in the modulus ratio with a decrease in the quality of the rock mass.

As will be clear in the discussion of the thematic relation involved, the volitional subject may be more appropriately viewed as an Affector, if not a prototypical agent.

This relation involves the conditional filtered average of the magnitude of the gradient of the progress variable.

Armstrong responds to this charge with equanimity: "It is not denied, of course, that the totalling or alling relation involves negation.