To accomplish this, we shall construct a subcone of P as follows: Q= biggl{ xin P : x t geqfrac{Lambda}{H(1)}t 1-t) | x| mbox{ for }t 1-t[0,1] biggr}.
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.
To this end, we shall construct a concrete function in the critical Sobolev-Lorentz space H p, q n p ( R n ).
In order to show the existence and uniqueness of solutions for problem (1.1), in this section we shall construct an approximation problem and establish the uniform estimates of its solutions.
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).
In this section, based on the random sample without noise, we shall construct the wavelet estimator and give its (L_{p} -consistency.
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.
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 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.
