Sentence examples for associated to problems from inspiring English sources
Studies with a cases-to-predictors ratio > 15 were considered 'good' whereas studies with cases-to-predictors ratio ≤ 15 were rated 'poor', since this can be associated to problems of overfitting [ 19].
Thus, the only critical points at infinity associated to problem (28) correspond to ( y ) ∞ : = 1 K ( y ) n − 2 σ n δ ( y, ∞ ), y ∈ K +.
Our argument uses a careful analysis of the lack of compactness of the Euler-Lagrange functional J associated to problem (1.1).
Let (J_{lambda}:Xrightarrowmathbb{R}) be the functional associated to problem (1) defined by J_{lambda} u)=Phi u -lambdaPsi u).
There is a correspondence between the solutions of (1.1) and the positive critical points of the Euler-Lagrange functional J associated to problem (1.1) defined in Section 2 of this paper.
Actually, the function (H xi,eta; xi_{0},eta_{0} )) is the Riemann-Hadamard function associated to problem (mathit {PK}_{2}) in the case (n=0) (see Gellerstedt [46] and Smirnov [47]).
Depressive symptoms were associated to problem drinking, and problem drinking was associated with suicidal ideation [ 15].
6 are presented for energy solutions, that is for solutions belonging to the natural energy space W 1, p associated to the problems considered.
Associated to problem (1.1), the corresponding energy functional (I:H_{0}^{1/2}(Omega )rightarrow mathbb{R}) is defined as follows: I u)=frac{1}{2}int_{Omega}biglvert (- Delta)^{1/4}ubigrvert ^{2}, dx-frac{1}{2^int _{Omega}|u|^{2^, dx.
