The necessary and sufficient conditions—close to one another—for the convergence of these methods with a rate polynomial with respect to the regularization parameter or discretization step are obtained in terms of the exponent in the source representability of the solution.M. M. Kokurin...
This paper provides a necessary and sufficient condition for guaranteeing exponential stability of the linear difference equation $x(t)=Ax(t-a)+Bx(t-b)$ where $a>0,b>0$ are constants and $A,B$ are $nimes n$ square matrices, in terms of a linear matrix inequality (LMI) of size $\...
In the paper we obtain necessary and sufficient condition that delayshould satisfy,under this condition we prove that the stability between theneutral delay differential equationd/(d~t)[x(t)+cx(t-τ)]=ax(t)-ax(t-τ),|c|1,and ordinary differential equation corresponding to Eq.(1)d/(dt...
alaw and regulations is a necessary but not sufficient 法律和章程是必要,但不充足的[translate] avisual C++视频技术方案宝典 正在翻译,请等待...[translate] a东侧的一组大型陪葬坑 An east side group large-scale is buried along with the dead the pit[translate] ...
The intervention is considered to have the necessary impact if differences in outcomes between the treatment and control group are significant. The DD is a quasi-experimental technique that measures the causal effect of some nonrandom intervention. It is widely used in many branches of economics, ...
Adequate means sufficient for a specific requirement, focusing on meeting minimal standards, while satisfactory refers to fulfillment that meets expectations or provides contentment.
When there is sufficient reason to suggest that perhaps the plaintiff has a valid claim, she bears the burden of proof. This means that she must show evidence that convinces the court that the violation of law actually occurred. The amount of proof that she must show can vary from one juri...
In this paper, some necessary and sufficient conditions for the oscillation of the higher order partial difference equation of the form ?_n~h ?_m~rA_m,n + (-l)~h+r+1pA_m-k,n-l = 0, (m,n) ? N_0~2 are established, where k, l ?N_0, h, r ? N_1, p is a nonnegativ...
We then derive several necessary and sufficient conditions for $d$-homogeneous difference balanced functions. In particular, we reveal an unexpected equivalence between the $d$-homogeneous property and multipliers of generalized difference sets. By determining these multipliers, we prove the Gong-Song ...
When Kessler and McKenna then asked participants how they would change the nude figures to make them of opposite gender: [i]n changing a male to a female[,] 38 percent of the participants mentioned removing the penis, but only one percent said that it was necessary to add a vagina. When...