Sentence examples similar to expressions from the last from inspiring English sources

Check out any of these pop culture expressions from the last year.

Our cultural expression during the last century has been astounding.

The historical introductory sections have aimed to show the intellectual centrality and significance of the concept of unity, which in both knowledge and in the sciences has time-honored roots and a plurality of sources, motivations, interpretations and expressions, the last ranging from the conceptual to the iconic (trees, etc).

From the last expressions and (16) we arrive to (15).

From the last expression, we immediately get the following lemma.

From the last expression it is clear that, for a given job, there is a minimum level of initial human capital and learning abilities that the employee needs to have in order to generate positive profits with positive wages.

From the last expression one also concludes that (limsup_{n to infty} d ( x_{ ( n + 1 )p + j + 2}, x_{ ( n + 1 )p + j + 1} ) le Delta), (forall j in overline{p - 1} cup { 0 }).

From the last expression it follows that we have basically one free parameter and this is the reference potential height.

end{aligned} Evaluating the left-hand side of the last expression in terms of Theorem 2, we show from the last equation the following identity.

Nor do celebrities from the last century.

Next, from the last three displacement functions, the three force displacement differential equations and the three static equilibrium equations for the arch element, one obtains three polynomial expressions.