Horn complexity as the minimum length of a Horn formula for a function.
Information Theory
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DNA is a molecular target for many anticancer and antiviral drugs. Therefore, a clear understanding of the interaction of small molecules with DNA is important in the rational design of ligands that can bind to DNA with high affinity and…
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This is a draft of a textbook on differential forms. The primary target audience is sophmore level undergraduates enrolled in what would traditionally be a course in vector calculus. Later chapters will be of interest to advaced undergraduate and…
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Kinetic data for the reaction of carbon dioxide with electrode carbon particles19 were used in a study of the reaction mechanism. A reactor with a single layer of carbon particles (50-60 mesh) was used throughout. Mass-specific reaction rates under…
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This document contains a 108 pageLATEXfile which contains a lot equations in physics. It is written at advanced undergraduate/postgraduate level. It is intended to be a short reference for anyone who works with physics and often needs to look up…
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In infants receiving intermittent high dose vitamin D prophylaxis (600,000 IU ergocalciferol per dose orally) every 3-5 mo, the serum concentrations of vitamin D metabolites, calcium (Ca), and phosphorus (P) were determined before and 2 wk after…
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This paper discusses methods for assigning code-words for the purpose of fingerprinting digital data, e.g., software, documents, music, and video. Fingerprinting consists of uniquely marking and registering each copy of the data. This marking allows…
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The authors of a recent manuscript in "Nature" claim to have discovered "universal trends" of amino acid gain and loss in protein evolution. Here, we show that this universal trend can be simply explained by a bias that is unavoidable with the…
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Abstract 10.1002/(SICI)1521-4109(20000101)12:13.3.CO;2-2 A conductometric biosensor was constructed with a sol-gel immobilized urease on a microfabricated interdigitated array (IDA) gold electrode. Tetramethoxysilane (TMOS) was used as a sol-gel…
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Recently, Candes and Donoho (1999) introduced the curvelet transform, a new multiscale representation suited for objects which are smooth away from discontinuities across curves. Their proposal was intended for functions f defined on the continuum…
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In quantum mechanics the statistics of the outcomes of a measuring apparatus is described by a positive operator valued measure (POVM). A quantum channel transforms POVM's into POVM's, generally irreversibly, thus loosing some of the information…
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Text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and…
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