I describe a modification to Shanks’ baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the advantage of being able to compute n quickly, which Shanks’ method fails to do when the order of G is infinite, unknown, or much larger than n. I describe the algorithm in detail. I also present the results of implementations of my a...

The present study aims to compare the efficiency of a single extraction and a 3-stage cross-current extraction of PAHs from both lowly contaminated (LC) and highly contaminated (HC) sands using palm kernel and soybean oils (PKO, SO). It is observed that 3-stage cross-current extractions increase the total efficiencies compared to single extractions by 18.7–22.7% and 27.2–30.6% for LC and HC san...

The journey of thousand miles begins with a single step, and this step was rightly taken by a visionary & pioneer in the field of endodontics; the ̳Father of Endodontics‘ Dr. Louis I. Grossman. Going way back in timeline, when teeth with focal infection and abscess were accused of medical failure and where only extractions & dentures were thought to be the choice of treatment, a ray of hope; Dr....

Baby boomers will begin entering old age in 2011. They will be the largest and most diverse cohort ever to experience this life-course transition. The sheer number of baby boomers has challenged institutions time after time (Dychtwald, 1990). Despite extensive speculation regarding the political, economic, and social impact that the aging of baby boomers will have on American society, no one ha...

We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian effective action for these gravitational waves with dielectric couplings and show that stable dielectric solutions exist. These solutions agree in the large...

This application demonstrates how to provide personalized, syndicated views on distributed web data using Semantic Web technologies. The application comprises four steps: The information gathering step, in which information from distributed, heterogenous sources is extracted and enriched with machine-readable semantics, the operation step for timely and up-to-date extractions, the reasoning ste...

Inorganic thallium compounds in the atmospheric particulate matter of emissions and in the workplace air of specific industrial production can be determined through selective sequential extractions: Tl(I) is separated from Tl(0) and Tl(III) in the first step, Tl(0) in the second one, while in the final extraction both Tl(III) soluble and insoluble compounds are determined. The procedure has bee...

We examine the formation of giant elliptical galaxies using their globular cluster (GC) systems as probes of their evolutionary history. The bimodal distributions of GC metallicities in such galaxies are often cited as evidence for the formation of giant elliptical galaxies through mergers involving gas-rich spirals, with the metal-rich GCs forming during the merger process. We explore an alter...

We study the stability of the giant gravitons in the string theory background with NSNS B field. We consider the perturbation of giant gravitons formed by a probe D(8− p) brane in the background generated by D(p− 2)D(p) branes for 2 ≤ p ≤ 5. We use the quadratic approximation to the brane action to find the equations of motion. The vibration modes for ρ , φ and r are coupled, while those of xk’...