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Papers in Discrete Mathematics

Discrete Mathematics papers in Mathematics, W

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Papers 1 - 20 of 21 in Discrete Mathematics, W
  1. Experiential education has long been emphasized as a part of undergraduate education in the sciences, technology, engineering, and mathematics (STEM) disciplines (Singer, Hilton, & Schweingruber, 2005), through laboratory and project-based…
  2. By modifying a clinical ultrasound array system, we develop a novel handheld photoacoustic probe for image-guided needle biopsy. The integration of optical fiber bundles for pulsed laser light delivery enables photoacoustic image-guided insertion of…
  3. Flux balance analysis is a mathematical approach for analyzing the flow of metabolites through a metabolic network. This primer covers the theoretical basis of the approach, several practical examples and a software toolbox for performing the…
  4. It is well known that for many NP-complete problems, such as K-Sat, etc., typical cases are easy to solve; so that computationally hard cases must be rare (assuming P = NP). This paper shows that NP-complete problems can be summarized by at least…
  5. For several NP-complete problems, there have been a progression of better but still exponential algorithms. In this paper we address the relative likelihood of sub-exponential algorithms for these problems. We introduce a generalized reduction which…
  6. Low-order Whitney elements are widely used for electromagnetic field problems. Higher-order approximations are receiving increasing interest, but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney…
  7. Australia is facing a severe water shortage due to below-average rainfall received over the past decade. The agricultural industry is significantly affected by this shortage due to its high water demands. It is important to adopt changes in…
  8. The most widely used rate expression for single-substrate enzyme catalyzed reactions, namely the Michaelis-Menten kinetics is based upon the assumption that enzyme concentration is in excess of the substrate in the medium and the rate is mainly…
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