Sentence examples for evaluating at the point from inspiring English sources

By Theorem 2, (Theta T^{-1} Theta^{-1}) is conjugate to a map T̃ such that T̃ is in form (9). Taking the partial derivative of both sides of the equation (H u,v) = Gamma (u + v + H u,v), v + H u,v))) with respect to v, solving for (D_{v} H u,v)), and evaluating at the point ((u,0)) yields D_{v} H u,0) = frac{ D_{v} Gamma (u,0) }{ 1 + D_{v} Gamma (u,0) } = - Q 0) (-u)^{ell }+ O(1) u^{ell + 1}.

The displacement error is evaluated at the point of the moving heat load.

The shift of OCP-OCPpztc (OCP evaluated at the Point of Zero Total Charge) with phosphate adsorption implies that the space charge (charge developed inside the solid oxide material itself) potential, varies with phosphate concentration.

To write system (3.5) as a map, we define the map : (3.7). is the map evaluated at the point.

This relation shows, in fact, that the so-called beta integral method consists in a fractional derivative evaluated at the point z = 1.

The implied marginal effects at the mean need to be interpreted carefully, since the numbers presented refer to the counterfactual of complete program roll-out, evaluated at the point of the largest marginal effect.

Substituting back into \ \bF\) and expanding to first order in \(\varepsilon(t)\) (considering only the perturbations at \(t = 0\) and dropping the explicit dependence on \(t\) from \(\varepsilon)\) yields where the matrix \ \bJ \bx)\) is the \(n\times n\) Jacobian matrix of partial derivatives of \ \bF\) evaluated at the point \ \bx\).

which can be written in the more compact sigma notation as : \sum_{n=0} ^ {\infty} \frac {f^{(n)}(a)}{n!} \, (x-a)^{n} where n! denotes the factorial of n and ƒ (n)(a) denotes the nth derivative of ƒ evaluated at the point a.

We write Φ x) to indicate the cumulative distribution function of a normal distribution with mean 0 and standard deviation 1, evaluated at the point x, and Φ x, y, ρ) to indicate the cumulative distribution function of a bivariate normal distribution with mean vector [0, 0], standard deviations both 1 and correlation ρ, evaluated at the points x and y.

1000 consecutive patients in the PACU were prospectively evaluated at the point when being ready to be transferred to the normal ward by the registered nurses of the PACU.

The IORT dose was evaluated at the peak point.