Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Per Enflo

Index Per Enflo

Per H. Enflo (born 20 May 1944) is a Swedish mathematician working primarily in functional analysis, a field in which he solved problems that had been considered fundamental. [1]

150 relations: Acta Mathematica, Alexander Grothendieck, Algebraic geometry, Algorithm, American Mathematical Monthly, Analysis of algorithms, Analytic number theory, Angela Spalsbury, Applied mathematics, Approximation algorithm, Approximation property, École Polytechnique, Banach space, Banach–Mazur compactum, Basis (linear algebra), Bombieri norm, Bounded operator, Canisius College, Category theory, Child prodigy, Closed set, Columbus, Ohio, Compact operator, Complete metric space, Complex number, Computational geometry, Computer algebra, Computer science, Continuous function, Continuous linear operator, Convergent series, Differential equation, Dimension (vector space), Diophantine approximation, Diophantine geometry, DNA, Dot product, Embedding, Enrico Bombieri, Euclidean space, Eurasia, Factorization of polynomials, Field (mathematics), Finite-rank operator, Fourier transform, Function (mathematics), Function space, Functional analysis, Géza Anda, Google Scholar, ..., Gorham's Cave, Great Depression, Hamming distance, Hans Rådström, Hilbert space, Hilbert's fifth problem, Homo sapiens, Homogeneous polynomial, Hugh Lowell Montgomery, Inner product space, Integral equation, Invariant subspace, Invariant subspace problem, John D. Hawks, Joram Lindenstrauss, Journal of Number Theory, Juliusz Schauder, Karen Saxe, Kent State University, Kent, Ohio, Lake Erie, Laurent Schwartz, Linear combination, Linear map, Linear subspace, Lipschitz continuity, List of unsolved problems in mathematics, Mathematical analysis, Mathematical and theoretical biology, Mathematical problem, Mathematical Reviews, Mathematics Magazine, Metric space, Michael Kimmelman, Mikhail Leonidovich Gromov, Milford H. Wolpoff, Miller Institute, Multiregional origin of modern humans, Neanderthal, Neanderthal extinction, Norm (mathematics), Normed algebra, Normed vector space, Number theory, Ohio State University, Old World, Open problem, Operator (mathematics), Operator theory, Paleoanthropology, Paris, Paul Halmos, Pianist, Poland, Population dynamics, Population genetics, Quantum mechanics, Real number, Recent African origin of modern humans, Refugium (population biology), Robert G. Bartle, Royal Institute of Technology, Schauder basis, Scottish Book, Scottish Café, Semigroup, Sequence, Speciation, Stanford University, Stanisław Mazur, Stefan Banach, Stochastic process, Stockholm, Stockholm Concert Hall, Stockholm University, Subjunctive mood, Svante Pääbo, Svenska Dagbladet, Sweden, The Art of Computer Programming, The New York Times Magazine, Time series, Topological vector space, Topology, Two-dimensional space, Undergraduate Texts in Mathematics, Uniform continuity, Uniformly convex space, Unit sphere, United States, University of California, Berkeley, Van Cliburn Foundation, Van Cliburn International Piano Competition, Vector space, Warsaw, Wolfgang Amadeus Mozart, Wolfgang M. Schmidt, World War II, WOSU-FM, Zebra mussel. Expand index (100 more) »

Acta Mathematica

Acta Mathematica is a peer-reviewed open-access scientific journal covering research in all fields of mathematics.

New!!: Per Enflo and Acta Mathematica · See more »

Alexander Grothendieck

Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry.

New!!: Per Enflo and Alexander Grothendieck · See more »

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

New!!: Per Enflo and Algebraic geometry · See more »

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

New!!: Per Enflo and Algorithm · See more »

American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

New!!: Per Enflo and American Mathematical Monthly · See more »

Analysis of algorithms

In computer science, the analysis of algorithms is the determination of the computational complexity of algorithms, that is the amount of time, storage and/or other resources necessary to execute them.

New!!: Per Enflo and Analysis of algorithms · See more »

Analytic number theory

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers.

New!!: Per Enflo and Analytic number theory · See more »

Angela Spalsbury

Angela Sue Spalsbury (born 1967) is an American mathematician specializing in functional analysis.

New!!: Per Enflo and Angela Spalsbury · See more »

Applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.

New!!: Per Enflo and Applied mathematics · See more »

Approximation algorithm

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to NP-hard optimization problems with provable guarantees on the distance of the returned solution to the optimal one.

New!!: Per Enflo and Approximation algorithm · See more »

Approximation property

In mathematics, specifically functional analysis, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators.

New!!: Per Enflo and Approximation property · See more »

École Polytechnique

École Polytechnique (also known as EP or X) is a French public institution of higher education and research in Palaiseau, a suburb southwest of Paris.

New!!: Per Enflo and École Polytechnique · See more »

Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

New!!: Per Enflo and Banach space · See more »

Banach–Mazur compactum

In the mathematical study of functional analysis, the Banach–Mazur distance is a way to define a distance on the set Q(n) of n-dimensional normed spaces.

New!!: Per Enflo and Banach–Mazur compactum · See more »

Basis (linear algebra)

In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.

New!!: Per Enflo and Basis (linear algebra) · See more »

Bombieri norm

In mathematics, the Bombieri norm, named after Enrico Bombieri, is a norm on homogeneous polynomials with coefficient in \mathbb R or \mathbb C (there is also a version for non homogeneous univariate polynomials).

New!!: Per Enflo and Bombieri norm · See more »

Bounded operator

In functional analysis, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded above by the same number, over all non-zero vectors v in X. In other words, there exists some M\ge 0 such that for all v in X The smallest such M is called the operator norm \|L\|_ \, of L. A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless L(v).

New!!: Per Enflo and Bounded operator · See more »

Canisius College

Canisius College was founded in 1870 by members of the Society of Jesus (Jesuits) from Germany and is named after St. Peter Canisius.

New!!: Per Enflo and Canisius College · See more »

Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

New!!: Per Enflo and Category theory · See more »

Child prodigy

In psychology research literature, the term child prodigy is defined as a person under the age of ten who produces meaningful output in some domain to the level of an adult expert performer.

New!!: Per Enflo and Child prodigy · See more »

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

New!!: Per Enflo and Closed set · See more »

Columbus, Ohio

Columbus is the state capital and the most populous city in Ohio.

New!!: Per Enflo and Columbus, Ohio · See more »

Compact operator

In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset (has compact closure) of Y. Such an operator is necessarily a bounded operator, and so continuous.

New!!: Per Enflo and Compact operator · See more »

Complete metric space

In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).

New!!: Per Enflo and Complete metric space · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

New!!: Per Enflo and Complex number · See more »

Computational geometry

Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.

New!!: Per Enflo and Computational geometry · See more »

Computer algebra

In computational mathematics, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects.

New!!: Per Enflo and Computer algebra · See more »

Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

New!!: Per Enflo and Computer science · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: Per Enflo and Continuous function · See more »

Continuous linear operator

In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces.

New!!: Per Enflo and Continuous linear operator · See more »

Convergent series

In mathematics, a series is the sum of the terms of an infinite sequence of numbers.

New!!: Per Enflo and Convergent series · See more »

Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

New!!: Per Enflo and Differential equation · See more »

Dimension (vector space)

In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.

New!!: Per Enflo and Dimension (vector space) · See more »

Diophantine approximation

In number theory, the field of Diophantine approximation deals with the approximation of real numbers by rational numbers.

New!!: Per Enflo and Diophantine approximation · See more »

Diophantine geometry

In mathematics, diophantine geometry is one approach to the theory of Diophantine equations, formulating questions about such equations in terms of algebraic geometry over a ground field K that is not algebraically closed, such as the field of rational numbers or a finite field, or more general commutative ring such as the integers.

New!!: Per Enflo and Diophantine geometry · See more »

DNA

Deoxyribonucleic acid (DNA) is a thread-like chain of nucleotides carrying the genetic instructions used in the growth, development, functioning and reproduction of all known living organisms and many viruses.

New!!: Per Enflo and DNA · See more »

Dot product

In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.

New!!: Per Enflo and Dot product · See more »

Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

New!!: Per Enflo and Embedding · See more »

Enrico Bombieri

Enrico Bombieri (born 26 November 1940 in Milan) is an Italian mathematician, known for his work in analytic number theory, algebraic geometry, univalent functions, theory of several complex variables, partial differential equations of minimal surfaces, and the theory of finite groups.

New!!: Per Enflo and Enrico Bombieri · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

New!!: Per Enflo and Euclidean space · See more »

Eurasia

Eurasia is a combined continental landmass of Europe and Asia.

New!!: Per Enflo and Eurasia · See more »

Factorization of polynomials

In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

New!!: Per Enflo and Factorization of polynomials · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

New!!: Per Enflo and Field (mathematics) · See more »

Finite-rank operator

In functional analysis, a branch of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional.

New!!: Per Enflo and Finite-rank operator · See more »

Fourier transform

The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

New!!: Per Enflo and Fourier transform · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

New!!: Per Enflo and Function (mathematics) · See more »

Function space

In mathematics, a function space is a set of functions between two fixed sets.

New!!: Per Enflo and Function space · See more »

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.

New!!: Per Enflo and Functional analysis · See more »

Géza Anda

Géza Anda (19 November 192114 June 1976) was a Swiss-Hungarian pianist.

New!!: Per Enflo and Géza Anda · See more »

Google Scholar

Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines.

New!!: Per Enflo and Google Scholar · See more »

Gorham's Cave

Gorham's Cave is a natural sea cave in the British Overseas Territory of Gibraltar.

New!!: Per Enflo and Gorham's Cave · See more »

Great Depression

The Great Depression was a severe worldwide economic depression that took place mostly during the 1930s, beginning in the United States.

New!!: Per Enflo and Great Depression · See more »

Hamming distance

In information theory, the Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different.

New!!: Per Enflo and Hamming distance · See more »

Hans Rådström

Hans Vilhem Rådström (1919–1970) was a Swedish mathematician who worked on complex analysis, continuous groups, convex sets, set-valued analysis, and game theory.

New!!: Per Enflo and Hans Rådström · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

New!!: Per Enflo and Hilbert space · See more »

Hilbert's fifth problem

Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups.

New!!: Per Enflo and Hilbert's fifth problem · See more »

Homo sapiens

Homo sapiens is the systematic name used in taxonomy (also known as binomial nomenclature) for the only extant human species.

New!!: Per Enflo and Homo sapiens · See more »

Homogeneous polynomial

In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree.

New!!: Per Enflo and Homogeneous polynomial · See more »

Hugh Lowell Montgomery

Hugh Lowell Montgomery (born August 26, 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis.

New!!: Per Enflo and Hugh Lowell Montgomery · See more »

Inner product space

In linear algebra, an inner product space is a vector space with an additional structure called an inner product.

New!!: Per Enflo and Inner product space · See more »

Integral equation

In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign.

New!!: Per Enflo and Integral equation · See more »

Invariant subspace

In mathematics, an invariant subspace of a linear mapping T: V → V from some vector space V to itself is a subspace W of V that is preserved by T; that is, T(W) ⊆ W.

New!!: Per Enflo and Invariant subspace · See more »

Invariant subspace problem

In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex Banach space sends some non-trivial closed subspace to itself.

New!!: Per Enflo and Invariant subspace problem · See more »

John D. Hawks

John Hawks is an associate professor of anthropology at the University of Wisconsin–Madison.

New!!: Per Enflo and John D. Hawks · See more »

Joram Lindenstrauss

Joram Lindenstrauss (יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli mathematician working in functional analysis.

New!!: Per Enflo and Joram Lindenstrauss · See more »

Journal of Number Theory

The Journal of Number Theory is a mathematics journal that publishes a broad spectrum of original research in number theory.

New!!: Per Enflo and Journal of Number Theory · See more »

Juliusz Schauder

Juliusz Paweł Schauder (21 September 1899, Lwów, Austria-Hungary – September 1943, Lwów, Occupied Poland) was a Polish mathematician of Jewish origin, known for his work in functional analysis, partial differential equations and mathematical physics.

New!!: Per Enflo and Juliusz Schauder · See more »

Karen Saxe

Karen Saxe is an American mathematician who specializes in functional analysis, and in the mathematical study of issues related to social justice.

New!!: Per Enflo and Karen Saxe · See more »

Kent State University

Kent State University (KSU) is a large, primarily residential, public research university in Kent, Ohio, United States.

New!!: Per Enflo and Kent State University · See more »

Kent, Ohio

Kent is a city in the U.S. state of Ohio and the largest city in Portage County.

New!!: Per Enflo and Kent, Ohio · See more »

Lake Erie

Lake Erie is the fourth-largest lake (by surface area) of the five Great Lakes in North America, and the eleventh-largest globally if measured in terms of surface area.

New!!: Per Enflo and Lake Erie · See more »

Laurent Schwartz

Laurent-Moïse Schwartz (5 March 1915 – 4 July 2002) was a French mathematician.

New!!: Per Enflo and Laurent Schwartz · See more »

Linear combination

In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).

New!!: Per Enflo and Linear combination · See more »

Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

New!!: Per Enflo and Linear map · See more »

Linear subspace

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.

New!!: Per Enflo and Linear subspace · See more »

Lipschitz continuity

In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.

New!!: Per Enflo and Lipschitz continuity · See more »

List of unsolved problems in mathematics

Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, and yet many mathematical problems, both major and minor, still remain unsolved.

New!!: Per Enflo and List of unsolved problems in mathematics · See more »

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.

New!!: Per Enflo and Mathematical analysis · See more »

Mathematical and theoretical biology

Mathematical and theoretical biology is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to prove and validate the scientific theories.

New!!: Per Enflo and Mathematical and theoretical biology · See more »

Mathematical problem

A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics.

New!!: Per Enflo and Mathematical problem · See more »

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.

New!!: Per Enflo and Mathematical Reviews · See more »

Mathematics Magazine

Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.

New!!: Per Enflo and Mathematics Magazine · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

New!!: Per Enflo and Metric space · See more »

Michael Kimmelman

Michael Kimmelman (born May 8, 1958)) is an American author, critic, columnist and pianist. He is the architecture critic for The New York Times and has written about public housing, public space, community development, infrastructure, urban design, landscape design and social responsibility. He has twice been a Pulitzer Prize finalist, most recently in 2018 for his series on climate change and global cities. In March, 2014, he was awarded the Brendan Gill Prize for his "insightful candor and continuous scrutiny of New York's architectural environment" that is "journalism at its finest.".

New!!: Per Enflo and Michael Kimmelman · See more »

Mikhail Leonidovich Gromov

Mikhail Leonidovich Gromov (also Mikhael Gromov, Michael Gromov or Mischa Gromov; Михаи́л Леони́дович Гро́мов; born 23 December 1943), is a French-Russian mathematician known for work in geometry, analysis and group theory.

New!!: Per Enflo and Mikhail Leonidovich Gromov · See more »

Milford H. Wolpoff

Milford Howell Wolpoff is a paleoanthropologist working as a professor of anthropology and adjunct associate research scientist, Museum of Anthropology, at the University of Michigan.

New!!: Per Enflo and Milford H. Wolpoff · See more »

Miller Institute

The Miller Institute for Basic Research in Science was established on the University of California, Berkeley campus in 1955 after Adolph C. Miller and his wife, Mary Sprague Miller, made a donation to the University.

New!!: Per Enflo and Miller Institute · See more »

Multiregional origin of modern humans

The multiregional hypothesis, multiregional evolution (MRE), or polycentric hypothesis is a scientific model that provides an alternative explanation to the more widely accepted "Out of Africa" model of monogenesis for the pattern of human evolution.

New!!: Per Enflo and Multiregional origin of modern humans · See more »

Neanderthal

Neanderthals (also; also Neanderthal Man, taxonomically Homo neanderthalensis or Homo sapiens neanderthalensis) are an extinct species or subspecies of archaic humans in the genus Homo, who lived in Eurasia during at least 430,000 to 38,000 years ago.

New!!: Per Enflo and Neanderthal · See more »

Neanderthal extinction

Neanderthal extinction began around 40,000 years ago in Europe, after anatomically modern humans had reached the continent.

New!!: Per Enflo and Neanderthal extinction · See more »

Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

New!!: Per Enflo and Norm (mathematics) · See more »

Normed algebra

In mathematics, a normed algebra A is an algebra over a field which has a sub-multiplicative norm: Some authors require it to have a multiplicative identity 1 such that ║1║.

New!!: Per Enflo and Normed algebra · See more »

Normed vector space

In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.

New!!: Per Enflo and Normed vector space · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

New!!: Per Enflo and Number theory · See more »

Ohio State University

The Ohio State University, commonly referred to as Ohio State or OSU, is a large, primarily residential, public university in Columbus, Ohio.

New!!: Per Enflo and Ohio State University · See more »

Old World

The term "Old World" is used in the West to refer to Africa, Asia and Europe (Afro-Eurasia or the World Island), regarded collectively as the part of the world known to its population before contact with the Americas and Oceania (the "New World").

New!!: Per Enflo and Old World · See more »

Open problem

In science and mathematics, an open problem or an open question is a known problem which can be accurately stated, and which is assumed to have an objective and verifiable solution, but which has not yet been solved (no solution for it is known).

New!!: Per Enflo and Open problem · See more »

Operator (mathematics)

In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.

New!!: Per Enflo and Operator (mathematics) · See more »

Operator theory

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.

New!!: Per Enflo and Operator theory · See more »

Paleoanthropology

Paleoanthropology or paleo-anthropology is a branch of archaeology with a human focus, which seeks to understand the early development of anatomically modern humans, a process known as hominization, through the reconstruction of evolutionary kinship lines within the family Hominidae, working from biological evidence (such as petrified skeletal remains, bone fragments, footprints) and cultural evidence (such as stone tools, artifacts, and settlement localities).

New!!: Per Enflo and Paleoanthropology · See more »

Paris

Paris is the capital and most populous city of France, with an area of and a population of 2,206,488.

New!!: Per Enflo and Paris · See more »

Paul Halmos

Paul Richard Halmos (Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-Jewish-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces).

New!!: Per Enflo and Paul Halmos · See more »

Pianist

A pianist is an individual musician who plays the piano.

New!!: Per Enflo and Pianist · See more »

Poland

Poland (Polska), officially the Republic of Poland (Rzeczpospolita Polska), is a country located in Central Europe.

New!!: Per Enflo and Poland · See more »

Population dynamics

Population dynamics is the branch of life sciences that studies the size and age composition of populations as dynamical systems, and the biological and environmental processes driving them (such as birth and death rates, and by immigration and emigration).

New!!: Per Enflo and Population dynamics · See more »

Population genetics

Population genetics is a subfield of genetics that deals with genetic differences within and between populations, and is a part of evolutionary biology.

New!!: Per Enflo and Population genetics · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

New!!: Per Enflo and Quantum mechanics · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

New!!: Per Enflo and Real number · See more »

Recent African origin of modern humans

In paleoanthropology, the recent African origin of modern humans, also called the "Out of Africa" theory (OOA), recent single-origin hypothesis (RSOH), replacement hypothesis, or recent African origin model (RAO), is the dominant model of the geographic origin and early migration of anatomically modern humans (Homo sapiens).

New!!: Per Enflo and Recent African origin of modern humans · See more »

Refugium (population biology)

In biology, a refugium (plural: refugia) is a location which supports an isolated or relict population of a once more widespread species.

New!!: Per Enflo and Refugium (population biology) · See more »

Robert G. Bartle

Robert Gardner Bartle (1927 – 2003) was an American mathematician specializing in real analysis.

New!!: Per Enflo and Robert G. Bartle · See more »

Royal Institute of Technology

KTH Royal Institute of Technology (KTH; Kungliga Tekniska högskolan) is a university in Stockholm, Sweden, specialized in Engineering and Technology, it ranks highest in northern mainland Europe in its academic fields.

New!!: Per Enflo and Royal Institute of Technology · See more »

Schauder basis

In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums.

New!!: Per Enflo and Schauder basis · See more »

Scottish Book

The Scottish Book (Księga Szkocka) was a thick notebook used by mathematicians of the Lwów School of Mathematics in Poland for jotting down problems meant to be solved.

New!!: Per Enflo and Scottish Book · See more »

Scottish Café

The Scottish Café (Kawiarnia Szkocka) was the café in Lwów, Poland (now Lviv, Ukraine) where, in the 1930s and 1940s, mathematicians from the Lwów School collaboratively discussed research problems, particularly in functional analysis and topology.

New!!: Per Enflo and Scottish Café · See more »

Semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

New!!: Per Enflo and Semigroup · See more »

Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

New!!: Per Enflo and Sequence · See more »

Speciation

Speciation is the evolutionary process by which populations evolve to become distinct species.

New!!: Per Enflo and Speciation · See more »

Stanford University

Stanford University (officially Leland Stanford Junior University, colloquially the Farm) is a private research university in Stanford, California.

New!!: Per Enflo and Stanford University · See more »

Stanisław Mazur

Stanisław Mazur (1 January 1905, Lwów – 5 November 1981, Warsaw) was a Polish mathematician and a member of the Polish Academy of Sciences.

New!!: Per Enflo and Stanisław Mazur · See more »

Stefan Banach

Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians.

New!!: Per Enflo and Stefan Banach · See more »

Stochastic process

--> In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a collection of random variables.

New!!: Per Enflo and Stochastic process · See more »

Stockholm

Stockholm is the capital of Sweden and the most populous city in the Nordic countries; 952,058 people live in the municipality, approximately 1.5 million in the urban area, and 2.3 million in the metropolitan area.

New!!: Per Enflo and Stockholm · See more »

Stockholm Concert Hall

The Stockholm Concert Hall (Stockholms konserthus) is the main hall for orchestral music in Stockholm, Sweden.

New!!: Per Enflo and Stockholm Concert Hall · See more »

Stockholm University

Stockholm University (Stockholms universitet) is a public university in Stockholm, Sweden, founded as a college in 1878, with university status since 1960.

New!!: Per Enflo and Stockholm University · See more »

Subjunctive mood

The subjunctive is a grammatical mood (that is, a way of speaking that allows people to express their attitude toward what they are saying) found in many languages.

New!!: Per Enflo and Subjunctive mood · See more »

Svante Pääbo

Svante Pääbo (born 20 April 1955) is a Swedish biologist specializing in evolutionary genetics.

New!!: Per Enflo and Svante Pääbo · See more »

Svenska Dagbladet

Svenska Dagbladet ("The Swedish Daily News"), abbreviated SvD, is a daily newspaper published in Stockholm, Sweden.

New!!: Per Enflo and Svenska Dagbladet · See more »

Sweden

Sweden (Sverige), officially the Kingdom of Sweden (Swedish), is a Scandinavian country in Northern Europe.

New!!: Per Enflo and Sweden · See more »

The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

New!!: Per Enflo and The Art of Computer Programming · See more »

The New York Times Magazine

The New York Times Magazine is a Sunday magazine supplement included with the Sunday edition of The New York Times.

New!!: Per Enflo and The New York Times Magazine · See more »

Time series

A time series is a series of data points indexed (or listed or graphed) in time order.

New!!: Per Enflo and Time series · See more »

Topological vector space

In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.

New!!: Per Enflo and Topological vector space · See more »

Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

New!!: Per Enflo and Topology · See more »

Two-dimensional space

Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).

New!!: Per Enflo and Two-dimensional space · See more »

Undergraduate Texts in Mathematics

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.

New!!: Per Enflo and Undergraduate Texts in Mathematics · See more »

Uniform continuity

In mathematics, a function f is uniformly continuous if, roughly speaking, it is possible to guarantee that f(x) and f(y) be as close to each other as we please by requiring only that x and y are sufficiently close to each other; unlike ordinary continuity, the maximum distance between f(x) and f(y) cannot depend on x and y themselves.

New!!: Per Enflo and Uniform continuity · See more »

Uniformly convex space

In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces.

New!!: Per Enflo and Uniformly convex space · See more »

Unit sphere

In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.

New!!: Per Enflo and Unit sphere · See more »

United States

The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.

New!!: Per Enflo and United States · See more »

University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

New!!: Per Enflo and University of California, Berkeley · See more »

Van Cliburn Foundation

The Van Cliburn Foundation presents the Van Cliburn International Piano Competition, the Cliburn Amateur Piano Competition, the Cliburn International Junior Piano Competition and Festival, Musical Awakenings education programs, and Cliburn Concerts.

New!!: Per Enflo and Van Cliburn Foundation · See more »

Van Cliburn International Piano Competition

The Van Cliburn International Piano Competition is an American piano competition, first held in 1962 in Fort Worth, Texas and hosted by the Van Cliburn Foundation.

New!!: Per Enflo and Van Cliburn International Piano Competition · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

New!!: Per Enflo and Vector space · See more »

Warsaw

Warsaw (Warszawa; see also other names) is the capital and largest city of Poland.

New!!: Per Enflo and Warsaw · See more »

Wolfgang Amadeus Mozart

Wolfgang Amadeus Mozart (27 January 1756 – 5 December 1791), baptised as Johannes Chrysostomus Wolfgangus Theophilus Mozart, was a prolific and influential composer of the classical era.

New!!: Per Enflo and Wolfgang Amadeus Mozart · See more »

Wolfgang M. Schmidt

Wolfgang M. Schmidt (born 3 October 1933, Vienna, Austria) is a mathematician working in the area of number theory.

New!!: Per Enflo and Wolfgang M. Schmidt · See more »

World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

New!!: Per Enflo and World War II · See more »

WOSU-FM

WOSU-FM (89.7 FM) — branded 89.7fm NPR News — is a National Public Radio news and talk radio station licensed to Columbus, Ohio and serving the Columbus metro area.

New!!: Per Enflo and WOSU-FM · See more »

Zebra mussel

The zebra mussel (Dreissena polymorpha) is a small freshwater mussel.

New!!: Per Enflo and Zebra mussel · See more »

Redirects here:

P. Enflo, Per H. Enflo.

References

[1] https://en.wikipedia.org/wiki/Per_Enflo

OutgoingIncoming
Hey! We are on Facebook now! »