For each positive integer m, we shall construct a sequence ({h_{mk}}_{k=1}^{infty }) of homogeneous polynomials such that for all k, (i) (langle h_{mk}rangle _{K_mcap E_m}le 1), (ii) (langle h_{mk}rangle le m), and (iii) (cup _{k=1}^infty {Xin mathbb {P}^{n}:langle h_{mk}(X rangle >m/2}supset mathbb {P}^{n}{setminus } E_m).
The Secretary shall construct, or cause to be constructed, any shore protection project authorized by Congress, or separable element of such a project, for which funds have been appropriated by Congress.
In the presence of stochastic noise in the observed function Rf, we shall construct asymptotic uniform confidence regions for the function f of interest, which allows to draw conclusions regarding global features of f.
In carrying out subsection (a), the Secretary of Homeland Security shall construct reinforced fencing along not less than 700 miles of the southwest border where fencing would be most practical and effective and provide for the installation of additional physical barriers, roads, lighting, cameras, and sensors to gain operational control of the southwest border.
Based on (B_{i}), we shall construct two groups of mappings (widetilde{A}_{i}:L^{2}(Omega)rightarrow L^{2}(Omega)) and (A_{i}:L^{p_{i}}(Omega)rightarrow L^{p_{i}} (Omega)) in the following.
We shall construct some examples to support our novel results.
We shall construct a blow-up subsolution to complete the proof.
In this paper, we shall construct a robust test for the mean change in a sequence.
In this section, we shall construct Riesz wavelets based on the masks (2).
In this section, we shall construct an example to show the applications of Theorem 3.1.
Now we shall construct a family of examples which show that ℬ is a proper subset of.
