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Pure Mathematics x clear all

a-

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 19 words.

Prefix meaning ‘not’. For example, an asymmetric figure is one which possesses no symmetry, which is not symmetrical.

A

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 7 words.

The number 10 in hexadecimal notation.

A

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 7 words.

The number 10 in hexadecimal notation.

a-

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 19 words.

Prefix meaning ‘not’. For example, an asymmetric figure is one which possesses no symmetry, which is not symmetrical.

A + B = C and big III's

Benjamin M. M. de Weger.

in The Quarterly Journal of Mathematics

March 1998; p ublished online March 1998 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Assuming standard conjectures we show that there exist elliptic curves with Tate-Shafarevich group of order essentially as large as the square root of the conductor. We present some...

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A “Bottom Up” Characterization of Smooth Deligne–Mumford Stacks

Anton Geraschenko and Matthew Satriano.

in International Mathematics Research Notices

November 2017; p ublished online September 2016 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 5814 words.

Abstract

We prove a structure theorem for relative coarse space morphisms from smooth Deligne–Mumford stacks, showing that each such map can be decomposed in...

A [math] lower bound for the border rank of matrix multiplication

Joseph M Landsberg and Mateusz Michałek.

in International Mathematics Research Notices

August 2018; p ublished online March 2017 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 4980 words.

Abstract

Let [math] denote the matrix multiplication tensor for [math] matrices. We use the border substitution method [2, 3, 6] combined with Koszul...

abacus

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 26 words.

A counting device consisting of rods on which beads can be moved so as to represent numbers.

abacus

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 26 words.

A counting device consisting of rods on which beads can be moved so as to represent numbers.

http://abacus.etherwork.net/Lee/ A description of how one abacus works....

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The abc theorem for commutative algebraic groups in characteristic p

Thomas Scanlon.

in International Mathematics Research Notices

January 1997; p ublished online January 1997 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 0 words.

Abel, Niels Henrik (1802–29)

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 94 words.

who, at the age of 19, proved that the general equation of degree greater than 4 cannot be solved algebraically.

Abel, Niels Henrik (1802–29)

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 94 words.

who, at the age of 19, proved that the general equation of degree greater than 4 cannot be solved algebraically. In other words, there can be no formula for the roots of such an equation...

Abel summation

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 40 words.

A method of computing the sum of a possibly *divergent series of *complex numbers as the limit, as ...

Abel’s Limit Theorem

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 30 words.

For a *convergent series {ak }, the limit assigned by the Abel summation method exists and is equal to the sum of the series....

Abel’s partial summation formula

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 25 words.

For two arbitrary sequences and with , the result that . This has some similarities with the formula for *integration by parts....

Abel’s test

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 49 words.

A test for the convergence of an infinite series which states that if ∑a n is a convergent sequence, and {...

Abelian 1-Calabi–Yau Categories

Adam-Christiaan van Roosmalen.

in International Mathematics Research Notices

January 2008; p ublished online January 2008 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 0 words.

In this paper, we show all k-linear abelian 1-Calabi–Yau categories over an algebraically closed field k are derived equivalent to either the category of coherent sheaves on an elliptic...

Abelian Functions for Trigonal Curves of Genus Three

J. C. Eilbeck, V. Z. Enolski, S. Matsutani, Y. Ônishi and E. Previato.

in International Mathematics Research Notices

January 2007; p ublished online January 2007 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 0 words.

We develop the theory of generalized Weierstrass σ- and ℘-functions defined on a general trigonal curve of genus three. In particular, we give a list of the associated partial differential...

abelian group

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 38 words.

Suppose that G is a *group with the operation ○. Then G is abelian if the operation ○ is

abelian group

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 41 words.

Suppose that G is a *group with the operation ○. Then G is abelian if the operation ○ is commutative; that is, if, for all elements ...