Sentence examples for defined integral from inspiring English sources

This will be done by using a specifically defined integral stage cost, which is the key feature of our proposed robust economic MPC algorithm.

Furthermore, Howard defined integral invariants induced from an invariant homogeneous polynomial of the second fundamental form of (M^{q}cap gN^{r}), and he achieved a general kinematic formula, where G is unimodular and acts transitively on the sets of tangent spaces to each of (M^{q}) and (N^{r}).

It is shown that some operational definitions commonly used to define integral stimuli are usually confounded with stimulus similarity.

In this continuation of the study of ((k,s -fractional calculus,s -fractionalegral operators in terms of ((k,s)) as follows.

Let λ have some probability density given by f, then we can define the integral The integral defines a new function p(k) describing the probability distribution of connectivity k, allowing for the rate of attachment to vary among proteins.

After he had defined the integral independently of the differential calculus, Cauchy had to prove that the processes of integrating and differentiating are mutually inverse.

We also design a new class of regularizers defined by "integral" versions of stable spline/TC kernels.

Ramanujan defined this integral and Hardy "deepened" it analytically.

Young defined -adic integral representation for the two-variable -adic -functions [64].

Curved lines do not necessarily wrap around to form circles. Curved surfaces are sometimes defined as integral mathematical functions.

Even if (fin L^{2}(mathbb{R}^{n})) the defining integral in (2.10) may not converge.