Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of ...

This paper investigates the S -transform on the space of tempered Boehmians. Inversion and properties are also discussed.

Mathematicians have always struggled with the difficulty of describing to nonmathematicians what they do. This difficulty is said to account for all sorts of ills, such as meager federal funding for mathematics research, low student interest in mathematics, and lack of appreciation for mathematics as a force in human culture. The easiest way to deal with the difficulty is to describe applicatio...

We initiate a study of space-time tradeoos in the cell-probe model under restricted preprocessing power. Classically, space-time trade-oos have been studied in this model under the assumption that the pre-processing is unrestricted. In this setting, a large gap exists between the best known upper and lower bounds. Augmenting the model with a function family F that characterizes the preprocessin...

Alan Hastings,* James E. Byers, Jeffrey A. Crooks, Kim Cuddington, Clive G. Jones, John G. Lambrinos, Theresa S. Talley and William G. Wilson Abstract The ecosystem engineering concept focuses on how organisms physically change the abiotic environment and how this feeds back to the biota. While the concept was formally introduced a little more than 10 years ago, the underpinning of the concept ...

In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.

The speed of CPUs is accelerating rapidly, outstripping that of peripheral storage devices and making it increasingly di cult to keep CPUs busy. Multilevel memory hierarchies, scaled to simulate single-level memories, are increasing in importance. In this paper we introduce the Memory Hierarchy Game, a multi-level pebble game simulating data movement in memory hierarchies for straight-line comp...

The Laboratory for Astronomy and Solar Physics ͑LASP͒ continues to conduct a broad program of research and instrument technology development in ultraviolet and infrared astronomy and in optical/UV, X-ray, gamma-ray, and visible-light studies of the Sun. The program encompasses theoretical, observational, and experimental work, using platforms in space such as the Hubble Space Telescope ͑HST͒ Space ...

The unique intermingling of numerous businesses reflecting varied ethnic affiliations along Buford Highway in Metro Atlanta offers a case study combining cultural, social, and urban geography. Studies of ethnic retail concentrations generally focus on one particular group; the Buford Corridor offers a strikingly linear picture of convolving interwoven multiethnic retail and residential spaces. ...

we consider the space of weakly almost periodic functions on a transformation semigroup (s, x , ?) and show that if x is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of s on x, then every continuous function on x, vanishing at infinity is weakly almost periodic. we also use a number of diverse examples to show that th...