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Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological groups.One of the key ideas in the theory of Lie groups is to replace the global object, the group, with its local or linearized version, which Lie himself called its "infinitesimal group ...
The module offers a complete overview of the theory and practice of chemical reaction kinetics, leading to an understanding of the kinetic principles of reaction kinetics.
Inorganic chemistry deals with the synthesis and behavior of inorganic and organometallic compounds. This field covers all chemical compounds except the myriad organic compounds (carbon based compounds, usually containing C-H bonds), which are the subjects of organic chemistry.
Robert Boyle’s contribution to the theory of steam power has been mentioned, but Boyle is more commonly recognized as the “father of chemistry,” in which field he was responsible for the recognition of an element as a material that …
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Brockway McMillan joined Bell Labs in 1946 after receiving his Ph.D. in mathematics from MIT and serving in the U.S. Navy. McMillan's research was concerned with network theory, statistics, and communications theory.
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This review is provided a detailed overview of the synthesis, properties and applications of nanoparticles (NPs) exist in different forms. NPs are tiny materials having size ranges from 1 to 100 nm.
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions.
1. Introduction. Rotating machinery is one of the most common classes of mechanical equipment and plays an important role in industrial applications.
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In any discretised wavelet transform, there are only a finite number of wavelet coefficients for each bounded rectangular region in the upper halfplane.
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MATHEMATICS UNIT 1: REAL ANALYSIS Ordered sets – Fields – Real field – The extended real number system – The complex field- Euclidean space - Finite, Countable and uncountable sets - Limits of functions
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