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Algebra


Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

 
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An Introduction to Noncommutative Spaces and Their Geometry

By: Giovanni Landi

Mathematics document containing theorems and formulas.

Excerpt: These notes arose from a series of introductory seminars on noncommutative geometry I gave at the University of Trieste in September 1995 during the XWorkshop on Differential GeometricMethods in Classical Mechanics. It was Beppe Marmo's suggestion that I wrote notes of the lectures. The notes are mainly an introduction to Connes' noncommutative geometry. They could serve as a ` rst aid kit' before one ventures into the beautiful but bewildering landscape of Conn...

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Automorphic Forms on Gl

By: Herve Jacquet

Mathematics document containing theorems and formulas.

Excerpt: Two of the best known of Hecke?s achievements are his theory of L-functions with grossencharakter, which are Dirichlet series which can be represented by Euler products, and his theory of the Euler products, associated to automorphic forms on GL(2). Since a grossencharakter is an automorphic form on GL(1) one is tempted to ask if the Euler products associated to automorphic forms on GL(2) play a role in the theory of numbers similar to that played by the L-funct...

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Thermochemistry of the Boranes

By: C.L. Yu

Technical Reference Publication

Excerpt: Species Considered. Table 1 lists 26 borane species that are covered in the present study. Also cited in the table are their enthalpies of formation, molar entropies, and heat capacities at 398.15 K and I bar. The molecular constants used in the statistical mechanics calculations for the thermochemical properties are summarized in Table 2. Reviews of the literature that cover their physical and thermal properties are presented in Sec. 2. We note that 13 addition...

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Wind-Us Users Guide: by National Aeronautics and Space Administration

Description: This document contains information regarding topics such as ACCELERATE Convergence Acceleration (Block), ACTUATOR/SCREEN Discontinuous Change Across A Zone Boundary (Block), and ARBITRARY INFLOW Arbitrary Inflow (Block).

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Introduction to Methods of Applied Mathematics or Advanced Mathema...

By: Sean Mauch

Mathematics document containing theorems and formulas.

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Interval Neutrosophic Sets and Logic : Theory and Applications in ...

By: Florentin Smarandache; Haibin Wang

Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of first order interval neutrosophic propositional logic and first order interval neutros...

The neutrosophic set generalizes the above mentioned sets from philosophical point of view. From scientific or engineering point of view, the neutrosophic set and set-theoretic operators need to be specified. Otherwise, it will be difficult to apply in the real applications. In this chapter, we de_ne the set theoretic operators on an instance of neutrosophic set called Interval Neutrosophic Set (INS). We call it as “interval" because it is subclass of neutrosophic set, t...

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