Sentence examples for expression for the second from inspiring English sources

Moreover, we calculate the expression for the second curvature coefficient, extending previous results using this formulation.

An explicit expression for the second derivative of U ( 0 ) ( x ) appearing in Eq. (29) can be computed by deriving Eq. (22) with respect to x.

By using the approximate expression for the third order moment of the β-field and the general integral expression for the second term comprised of L1 and Λ1 established in Part I and Part II, explicit expressions for L1 and Λ1 are derived for spherical scatterers.

However, this ignores the particular Boolean rules of expression for the second gene, whose expression state may not actually depend on the first gene's product; in fact, whether this dependence is present may itself depend epistatically on the expression states of yet other genes [2].

A negative value means a decrease in relative expression for the second timepoint relative to the first.

The resulting TSP figure (Fig. 2) plots the expression for the first gene in the pair versus the expression for the second gene in the pair.

On Lolabelle's face, Anderson says, was a "brand-new expression": for the first time, the dog began to worry about the sky.

If the Court upheld the statute, it would create a new category of unprotected expression for the first time in twenty-seven years.

However, finding a closed-form expression for the second-order statistics of this variable is challenging.

Also, a simple analytic expression for the first and/or second derivative of the objective function may not be obtainable.

Since, the closed-form expression for the third term in Equation 47 can be calculated as shown below: (49).