Sentence examples for explicit representation from inspiring English sources

No explicit representation of time is included.

Explicit representation formulas of the solutions are also given.

The explicit representation formula of the solution is also established.

The explicit representation of the solution is also given.

It may not be further required that every explicit representation correspond to a propositional attitude.

The following theorem gives the explicit representation of the basis family defined in (1).

Moreover, we obtain an explicit representation for the Verblunsky coefficients and in terms of and.

Moreover, we have obtained an explicit representation of solutions in [22].

end{aligned}The proof is based on the explicit representation of solutions using fundamental solutions.

We can thus solve the equations with an explicit representation of solutions under certain conditions.

The authors also remark that any explicit representation would require (mathcal{O}(n^{2})) steps.