Sentence examples for we first deduce from inspiring English sources

Starting from the basic principles, we first deduce the equations of the nonlinear theory of Cosserat shells with voids.

We first deduce the polynomial time solvable algorithms to the unconstrained binary quadratic programming problems with Q being a seven-diagonal matrix (UBQP7) and a five-diagonal matrix (UBQP5) respectively with two different approaches.

We first deduce the following corollary from Theorem 3.4.

In this section, we first deduce the reordering strategy of PARE and then present two mechanisms to enable this strategy.

Based on Lemma 4.3, we first deduce an estimate on ∂ x i f ‴ ( w ) f ″ ( w ) w x 2 ( t ).

Before stating our main result, we first deduce certain estimates on (ϕ t, x), ψ t, x)) based on the assumption (1.16).

We first deduced the individual and overall vdW coefficients from the variational method [27], which are listed in Table 1.

We first deduced an approximate risk for dengue acquisition in a stochastic framework.

Given the gene expression data and connectivity network between transcription factors and gene expression, we first deduced TFAs from gene expression by using gNCA.

To obtain the conclusion, we must first deduce Ti → E i by specification from the second premise and then use modus ponens with the first.

In this article, we will first deduce the Laplace transforms of the distributions of the processes (y_{t}) and (Y_{t}).