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30 relations: American Mathematical Society, Banach space, Bishop–Phelps theorem, Calculus of variations, California, Carabiner, Choquet theory, Differentiable function, Errett Bishop, Functional analysis, Harmonic analysis, Ivar Ekeland, John Rainwater, Joram Lindenstrauss, Locally convex topological vector space, Mathematical analysis, Mathematical optimization, Mathematical Reviews, Measure (mathematics), Operator theory, Piton, R. Tyrrell Rockafellar, Reflexive space, Shangri-La, Top rope climbing, University College London, University of Washington, Variational principle, Victor Klee, Washington (state).
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
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Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
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Bishop–Phelps theorem
In mathematics, the Bishop–Phelps theorem is a theorem about the topological properties of Banach spaces named after Errett Bishop and Robert Phelps, who published its proof in 1961.
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Calculus of variations
Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.
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California
California is a state in the Pacific Region of the United States.
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Carabiner
A carabiner or karabiner is a specialized type of shackle, a metal loop with a spring-loaded gate used to quickly and reversibly connect components, most notably in safety-critical systems.
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Choquet theory
In mathematics, Choquet theory, named after Gustave Choquet, is an area of functional analysis and convex analysis concerned with measures which have support on the extreme points of a convex set C. Roughly speaking, every vector of C should appear as a weighted average of extreme points, a concept made more precise by generalizing the notion of weighted average from a convex combination to an integral taken over the set E of extreme points.
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Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
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Errett Bishop
Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an American mathematician known for his work on analysis.
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Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
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Harmonic analysis
Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis).
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Ivar Ekeland
Ivar I. Ekeland (born 2 July 1944, Paris) is a French mathematician of Norwegian descent.
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John Rainwater
The fictitious mathematician John Rainwater was created as a student prank but has become known as the author of important results in functional analysis.
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Joram Lindenstrauss
Joram Lindenstrauss (יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli mathematician working in functional analysis.
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Locally convex topological vector space
In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces.
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Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
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Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
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Mathematical Reviews
Mathematical Reviews is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science.
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Measure (mathematics)
In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.
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Operator theory
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.
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Piton
In climbing, a piton (also called a pin or peg) is a metal spike (usually steel) that is driven into a crack or seam in the climbing surface with a climbing hammer, and which acts as an anchor to either protect the climber against the consequences of a fall or to assist progress in aid climbing.
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R. Tyrrell Rockafellar
Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics.
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Reflexive space
In the area of mathematics known as functional analysis, a reflexive space is a Banach space (or more generally a locally convex topological vector space) that coincides with the continuous dual of its continuous dual space, both as linear space and as topological space.
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Shangri-La
Shangri-La is a fictional place described in the 1933 novel Lost Horizon by British author James Hilton.
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Top rope climbing
Top rope climbing (or top roping) is a style in climbing in which the climber is securely attached to a rope which then passes up, through an anchor system at the top of the climb, and down to a belayer at the foot of the climb.
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University College London
University College London (UCL) is a public research university in London, England, and a constituent college of the federal University of London.
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University of Washington
The University of Washington (commonly referred to as UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington.
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Variational principle
A variational principle is a scientific principle used within the calculus of variations, which develops general methods for finding functions which extremize the value of quantities that depend upon those functions.
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Victor Klee
Victor L. Klee, Jr. (September 18, 1925, San Francisco – August 17, 2007, Lakewood, Ohio) was a mathematician specialising in convex sets, functional analysis, analysis of algorithms, optimization, and combinatorics.
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Washington (state)
Washington, officially the State of Washington, is a state in the Pacific Northwest region of the United States.
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References
[1] https://en.wikipedia.org/wiki/Robert_Phelps
