By Thomas J . Woofter, Jr.* T H E CONCENTRATION OF children in families with low incomes was discussed in a previous article. Some of this analysis of the composition and income of nonfarm families receiving wages or salaries only is recapitulated in table 1. I t was pointed out that nearly half of the children (under 18 years of age) were in the one-seventh of the families which had three or m...

It is known, by Gelfand theory, that every commutative JB∗-triple admits a representation as space of continuous functions the form C0T(L)={a∈C0(L):a(λt)=λa(t),∀λ∈T,t∈L},where L principal T-bundle and T denotes unit circle in C. We provide full technical description all orthogonality preserving (non-necessarily nor bijective) linear maps between JB∗-triples. Among consequences this representati...

Abs tract: Vis ual im pacts of fore s t ope rations are of incre as ing conce rn to fore s t m anage rs . Tools are available for evaluating, and pote ntialy avoiding, proble m s in vis ual q uality re s ulting from poody de s igne d h arve s t unit boundarie s . One of th e s e visualization tools is applied in com paring various h arve s t unit s h ape alte rnative s in an upland h ardw ood s...

where Sd−1 = { u ∈ Rd : |u| = 1 } denotes the unit sphere and σ its surface measure. In particular is σ(S1) = 2π and σ(S2) = 4π. The variable t ≥ 0 is called measurement time and the variable ξ ∈ Rd detector position or center point. In all practical applications these center points are located on a curve or surface and we consider the classical case ξ ∈ Sd−1 here. Moreover, we restrict ourselv...

Averaging Operators on the Unit Interval Mai Gehrke, Carol Walker, Elbert Walker New Mexico State University, Las Cruces, New Mexico, USA In this paper we look at algebras consisting of the unit interval [0; 1] with the standard partial order together with an averaging operator. In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though...

A discrete t-norm is a binary operation on a finite subset of the real unit interval fulfilling the same algebraic conditions as t-norms. We show that any left-continuous t-norm can, in a natural sense, be approximated by a discrete t-norm with an arbitrary precision.

Let T be the Toeplitz algebra on the Bergman space La(B, dv) of the unit ball in C. We show that the image of T in the Calkin algebra satisfies the double commutant relation: π(T ) = {π(T )}′′. This is a surprising result, for it is the opposite of what happens in the Hardy-space case [16,17].

BACKGROUND Hemorrhagic shock (HS) is the major leading cause of death after trauma. Up to 50% of early deaths are due to massive hemorrhage. Excessive release of pro-inflammatory cytokine and hypercatecholamine induces hematopoietic progenitor cells (HPCs) apoptosis, leading to multiorgan failure and death. However, still, result remains elusive for hematopoietic stem cells (HSCs) behavior in t...

We consider the reliability of a single-unit system whose cumulative damage over time is a continuous wear process {X (t): t¿ 0} that depends on an external environment process {Z(t): t¿ 0}. We explicitly derive the failure time distribution and moments in terms of Laplace–Stieltjes transforms by analyzing the Markov additive process {(X (t); Z(t)): t¿ 0} and demonstrate its applicability on an...