## a-

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

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

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-

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

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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** » ** abstract

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

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

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

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

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.

##
The *abc* theorem for commutative algebraic groups in characteristic *p*

in** International Mathematics Research Notices**

January 1997; p ublished online January 1997 .

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