Sentence examples for state of problem from inspiring English sources

From the view of ecology, we are more interested in investigating the steady state of problem (1.3), namely, the corresponding strongly coupled elliptic problem textstylebegin{cases} -Delta[(d_{1}+alpha_{1}{gamma_{eta_{1}+v}amma_{1}+v})u]=a_{12}(x) v-a_{11}(x u,&xinOmega, -Delta[(d_{2}+frac{beta_{2}}{gamma_{2}+u}+alpha _{2}v)v]=g u -a_{22}(x) v,&xinOmega, u(x)=v(x)=0, & xinpartialOmega.

The aim of this section is to investigate the non-existence of non-constant positive steady states of problem (1.1) with no cross-diffusion.

The NLP module then analyzes each sentence and extracts potential medical problems, inferring the state of the problem using this contextual information.

Recall that, and where and is the ground state solution of problem (2.6).

Motivated by the works mentioned, in this paper, we study the existence of nontrivial state solutions of problem (1.1) by means of the mountain pass theorem.

Inspired by all the work described above, particularly, by the results in [18, 25], we intend to show the existence of ground state solutions of problem (1.7).

Consequently, we have shown that (J v =m_{infty}>0) and (J_{infty}^{prime} v =0), which show that v is a ground state solution of problem (1.8).

Therefore, (I u)= c_{0}=inf_{mathcal{M}}I_{lambda} u)), which means that u is the ground state solution of problem (1.1).

He proceeded to extract the word or phrase expressing the state of the problem, and added the state of the problem (present or absent) to the case.

Each configuration is a "state" of the problem space.

IPSS has prepared an interface to accept not only learners' answer but also the intermediate state of their problem solving.