ty(x,y) denotes the number of positive integers < i and free of prime factors > y. In the range y > exp((loglogx)5T3+£), *9(x, y) can be well approximated by a "smooth" function, but for y < (logx)2-e, this is no longer the case, since then the influence of irregularities in the distribution of primes becomes apparent. We show that *¡>(x,y) behaves "locally" more regular by giving a sharp estim...

For two algebras $A$ and $B$, a linear map $T:A longrightarrow B$ is called separating, if $xcdot y=0$ implies $Txcdot Ty=0$ for all $x,yin A$. The general form and the automatic continuity of separating maps between various Banach algebras have been studied extensively. In this paper, we first extend the notion of separating map for module case and then we give a description of a linear se...

W e derived a quant i tat ive measure of t he ability of a camera setup t o observe the changes in image features due t o relative m o t i o n [ I O ] . Thrs measure of motion perceptibility has m a n y applications in evaluating a robot hand /eye setup w i th respect t o t h e ease of achieving vision-based control, and steering away f r o m singular configurat ions. M o t i o n perceptibil i ...

We enumerate a variety of ways to extend both stat i st i cal and si gnature-based i ntrusi on-detect i on anal ysi s techni ques to moni tor network tra c. Speci cal l y, we present techni ques to anal yze TCP/IP packet streams that ow through network gateways f or si gns of mal i ci ous act i vi ty, nonmal i ci ous f ai l ures, and other except i onal events. The i ntent i s to demonstrate, b...

and Applied Analysis 3 Again, using induction d xn 1, xn ≤ ( β 1 − α )n d x1, x0 , 2.5 Put k β/ 1 − α < 1. Moreover, by the triangular inequality, we have, form ≥ n, d xm, xn ≤ d xm, xm−1 d xm−1, xm−2 · · · d xn 1, xn ≤ ( km−1 km−2 · · · k ) d x1, x0 ≤ ( k 1 − k ) d x1, x0 , 2.6 and this proves that d xm, xn → 0 as m,n → ∞. So, {xn} is a Cauchy sequence and, since X is a complete metric space, ...

To determine whether normal T-cell subpopulations influence human blood BFU-E proliferation variably. sheep erythrocyte rosettable cells (unseparated T cells) were fractionated into subpopulations based on their differential binding to 1gM (TM cells) or lgG-coated ox erythrocytes (Ty cells). For comparative purposes. T cells. T’y cells, and T cells depleted of Ty cells (T-non-”y cells) were fur...

Tyrosinase was the first melanoma-associated antigen shown to be recognized by CD4+ T cells. In this study, we have identified two HLA-DRB1*0401-restricted peptides recognized by these T cells: Ty 56-70 and Ty 448-462. As with many of the MHC class I-restricted melanoma epitopes, both are nonmutated self peptides that have intermediate and weak MHC binding affinities, respectively. Mutated and ...

G ra d u a t e S ch ool of In f or ma ti on , P r od u c ti on a n d S y s te m s Wa sed a U n i v er si ty J u l y 2 0 1 0

Compared to science in previous centuries, one notable aspect of twent ie th-century science is a feeling of social responsibil i ty among m a n y investigators. Not only in the United States, bu t across the world, scientists have spoken out in groups and as individuals to help guide and direct the social applications of their discoveries. Since the 1930's, physicists have expressed concern ov...

Let A and B be two nonempty subsets of a metric space X. A mapping T : A∪B → A∪B is said to be noncyclic if T (A) ⊆ A and T (B) ⊆ B. For such a mapping, a pair (x, y) ∈ A×B such that Tx = x, Ty = y and d(x, y) = dist(A,B) is called a best proximity pair. In this paper we give some best proximity pair results for noncyclic mappings under certain contractive conditions.