A detailed analysis of convergence rate is presented for an iterative path formulated optimal routing algorithm. The primary objective is to quantify, analytically, how the convergence rate changes as the number of nodes in the underlying graph increases. The analysis is motivated by a particular path formulated gradient projection algorithm that has demonstrated excellent convergence rate -. p...

We propose a formulation of d-dimensional classical SU(N) Yang-Mills theories on a d+2-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. This equivalence is valid in any finite order in the 1/N expansion.

0010-2180/$ see front matter 2010 The Combust doi:10.1016/j.combustflame.2010.07.001 * Corresponding author. Address: Department of Engineering, Princeton University, Princeton, NJ 0854 E-mail address: [email protected] (S. Dooley An implicit methodology based on chemical group theory to formulate a jet aviation fuel surrogate by the measurements of several combustion related fuel propertie...

A restricted natural language is presented which is suitable for formulating mathematical proofs in the domain of calculus. A line of a proof according to the language consists of three parts: A marking, a proof statement, and a foundation of the statement. Foundations include among others the name of a theorem, the name of a concept, or a formula manipulation operation. It is demonstrated how ...

Wound healing agents support the natural healing process, reduce trauma and likelihood of secondary infections and hasten wound closure. The wound healing activities of water in oil cream of the methanol extract of Hibiscus sabdariffa L. (Malvaceae) was evaluated in rats with superficial skin excision wounds. Antibacterial activities against Pseudomonas aeroginosa, Staphylococcus aureus and Ech...

Metalworking fluid emulsion formulations produced from vegetable oils may be less toxic and may reduce disposal costs when compared with fluids formulated with petroleum-based oils. Experiments were performed on experimental emulsions made with unmodified and modified soybean oils to measure rates of mist production by impaction, centrifugal force and evaporation/recondensation mechanisms. Resu...

Ronstar® herbicide is one of the most effective preemergent herbicides available to professional turf managers. Unfortunately, in the South, it can sometimes be difficult to apply granular fertilizer plus Ronstar® products without causing injury to the turf. Tire tracking, discoloration and thinning turf are all symptoms that can be encountered when it is applied during the growing season, espe...

Glyphosate is the most widely used herbicide on the planet, and its increasing use over time in the United States aligns well with the increasing rates of autism determined by the Centers for Disease Control. Based on the known mechanism of glyphosate toxicity, we hypothesize that a pregnant woman’s exposure at midpregnancy to glyphosate-formulated herbicides (GFH) may produce, in her unborn ch...

The injectable composites were formulated from melt-derived 45S5 bioactive glass powder and gum tragacanth. The effect of tragacanth concentration (2 and 4 w/v%) and powder to liquid ratio (P/L= 1.5 to 2.5) on rheological properties, injectability, degradation, swelling, and bioactivity the composites was studied. With the increase of P/L ratio and tragacanth concentration, the force requ...