Sentence examples for correspond essentially from inspiring English sources

We show that the requirement of integrability of the full one-loop dilatation operator in the scalar sector, places very strong constraints on the field theory, so that the only soluble models correspond essentially to orbifolds of N= 4 SYM.

For (omega=0) along with (p=0), the integral operator (epsilon^{omega,delta,q,r,c}_{cdot,alpha,beta,tau}) would correspond essentially to the two sided Riemann Liouville fractional integral operator begin{aligned}& J_{a+}^{beta}f(x)=frac{1}{Gamma(beta)} int_{a}^{x} x-t)^{beta-1} x-t,dt,quad beta>0, & J_{b-}^{beta}f(x)=frac{1}{Gamma(beta)} int_{x}^{beta-1}f{beta-1}f(t),dt,quad beta>0.

Because I "correspond" essentially via e-mail.

Because EM images correspond essentially to 2D projections of the object along the electron beam, the images collected from the same area at different tilt angles correspond to the set of object projections at different but known orientations.

This paper summarizes the preliminary biological and physical studies, with emphasis on approximate radiation dosimetry and the necessary preliminary testing, and then gives an account of the clinical investigations and the trials carried out so far, which correspond essentially to Phases I and II trials for a chemotherapeutic agent.

In addition, results of frontier molecular orbital analysis show that vertical S0→S1 transition of these molecules corresponds essentially to the excitation from HOMO to LUMO.

Orbital analysis shows that vertical S0 → S1 transition in the studied molecules corresponds essentially to the excitation from HOMO to LUMO.

Among the attractive features of the Random Forest approach are robustness and simplicity, including hyperparameter simplicity which corresponds essentially to choosing a single parameter (m).

Our formulation corresponds essentially to the inequalities found in the appendix of Zelen [18] for the infinite interval ((- infty,infty)), and find herewith an implementation suitable for computation, as will be demonstrated in the next two sections.

Γ ( 1 + ν + μ n ) ( z ∈ U ). which, for μ = 1, corresponds essentially to the classical Bessel function J ν, and the generalized Mittag-Leffler function E λ, μ defined by E λ, μ ( z ) : = ∑ n = 0 ∞ z n Γ ( ν + λ n ) ( z ∈ U ).

Our 2.1 ("zone 1 2") class corresponds essentially to profiles 4 and 5 described in [28], i.e. genes maximally expressed in immature nodules.