Sentence examples for p at which from inspiring English sources
Assume that (x^ ) is an efficient solution for problem (P) at which the Kuhn-Tucker constraint qualification is satisfied.
Let Assumptions hold, and let x̄ be a feasible point of problem (P) at which MFCQ holds but which is not a KKT point.
Experiments showed that the actual rms relative force error is typically somewhat less than ϵ, while for any given ϵ there is an optimum p at which the computational cost are minimal.
The bold entries in Table 2 (in the columns for cross-correlation levels i = 1 to 4) mark the primes p at which the maximum frequency occurs for each cross-correlation level.
It is now clear that the level of the initial price p at which the contract is traded at time zero is immaterial for both hedging strategies and the total (i.e., combined) wealth of the two traders is given by the right-hand side in (30).
This model results in some remarks: (i) One can define a particular temperature T p at which thermal energy kT p equals the high (/depth) of potential hill for a localized hole (potential well for a localized electron) where the probability P (E) reaches its maximum.
The final dataset shown in Table 4 is the average pd at which the whole system becomes senescent.
Allowable tooth normal loads P Fal and P Hal at which the bending stress and Hertzian contact stress, respectively, reach each allowable stress are found from the allowable stresses and FEM analysis using Eqs.
After a long period of excess P application, some agricultural soils may reach P concentrations at which they begin delivering much higher P loads to nearby aquatic ecosystems [10].
The following set (S_{2}) of all ((p,q)) at which the scheme (3.1) is asymptotically stable is called the asymptotical stability region, S_{2}=biggl{ (p,q):biggl|R z)^{m}+frac{q}{p} bigl(R z)^{m}-1bigr biggr|< 1biggr}.
The set (S_{1}) of all ((p,r)) at which the scheme (4.3) is asymptotically stable is called the asymptotical stability region, S_{1}=bigl{ (p,r):|1+r|cdot R z)^{m}< 1bigr}.
