Sentence examples for more general potentials from inspiring English sources

It might be also interesting to study the above mentioned abstract equations with more general potentials, see the paper [20].

FastPD is a state-of-the art algorithm that generalizes prior methods such as alpha expansion, while being an order of magnitude faster in practice [46] and handling more general potentials (including some non-submodular ones) with strong per-instance optimality bounds.

15 below, where it will be obtained as a corollary of more general potential estimates.

Here, we consider (1.1) with more general potential V, especially the potential V can be sign-changing.

We consider the existence of solutions to the p-biharmonic problem (1.1) with a more general potential (V x)).

So these more general potential worries will be set aside, though they should not be forgotten they may even be, in the end, the most significant problem for RCT (if the right kind of merely possible sequence doesn't exist, we must retreat to CTa or CTb and their problems).

A natural question is whether the existence results still holds if we assume a more general potential (V x)) than (V0), (V1), namely, (V)::  (V x in C {mathbb{R}}^{N})) satisfies (inf_{xin {mathbb{R}}^{N}}V x)>0). (Vin C {mathbb{R}}^{N})) satisfies (inf_{xin{mathbb {R}}^{N}}V x)>0), and for each (M>0), (operatorname{meas}{xin mathbb{R}^{N}leq M}<+infty).

In this article we use the honeycomb model to organize findings from our study to illustrate more general potential pitfalls and challenges particular to evidence-based online resources.

Our result Theorem 1.1 generalizes this result to fractional elliptic systems with more general weight potentials.

In fact, we can investigate more general unbounded potentials in (mathbb{R}^{N}).

We find that our method works very well for a wide range of parameters in the case of the anharmonic oscillator (Duffing equation), of the non linear pendulum and of more general anharmonic potentials.