Sentence examples for give a bounded from inspiring English sources
The cooperative localization is found to give a bounded relative position mean square error (MSE) and an absolute position MSE inversely proportional to the number of agents, in the worst case scenario, and a bounded position MSE in the best case scenario.
Theorem 2 provides a bound for the worst-case performance given a bounded noise n, i.e., ({left | mathbf {n} right |}_{2} leq C), where C is an absolute constant [36, 37].
Given a bounded sequence of measures (μk), assume that for each k⩾1 there exists a solution uk of (E) with datum μk and zero boundary data.
Given a bounded open subset Ω of Rd(d⩾1) and a positive finite Borel measure μ supported on ¯¯¯Ω with μ>0, we study a Laplace-type operatorΔμ that extends the classical Laplacian.
Given a bounded linear operator (A : H_{1} rightarrow H_{2}).
We recall that, given a bounded sequence in a Banach space and a subset of, the asymptotic center of with respect to is defined by.
Given a bounded continuous function f defined on R, we define (f^) and (f^) as f^=inf_{tin{R}}f(t), qquad f^=sup_{tin{R}}f(t).
Given a bounded continuous function f defined on R, we denote f + and f − as f − = inf t ∈ R f ( t ), f + = sup t ∈ R f ( t ).
Given a bounded sequence of positive numbers, let be the unilateral weighted shift operator on with the canonical orthonormal basis by for all, that is, (1.6).
Given a bounded linear operator defined on and a discrete almost automorphic function, we give criteria for the existence of discrete almost automorphic solutions of the linear difference equation.
Given a bounded linear operator T in a Banach space X, we call a sequence ((x_{k})) in X a Weyl sequence for T if (Vert x_{k} Vert =1) and (Vert Tx_{k} Vert rightarrow0) as (krightarrowinfty).
