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The Concise Oxford Dictionary of Mathematics

Christopher Clapham [[missing key: and]] James Nicholson

Published in print January 2014 | ISBN: 9780199679591
Published online September 2014 | e-ISBN: 9780191759024 | DOI: https://dx.doi.org/10.1093/acref/9780199679591.001.0001
The Concise Oxford Dictionary of Mathematics

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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.

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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.

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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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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...

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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 ...

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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....

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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....

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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 {...

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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 ...

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above

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 67 words.

Greater than. The limit of a function at a from above is the limit of f(x) as ...

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abscissa

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 12 words.

The x-coordinate in a Cartesian coordinate system in the plane.

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absolute address

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 96 words.

In spreadsheets a formula which is to appear in a number of cells may wish to use the contents of another cell or cells. Since the relative position of those cells will be different each...

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absolute error

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 4 words.

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absolute frequency

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 37 words.

The number of occurrences of an event. For example, if a die is rolled 20 times and 4 sixes are observed the absolute frequency of sixes is 4 and the ...

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absolute measure of dispersion

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 8 words.

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absolute value

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.

For any real number the absolute value (also called the *modulus) of denoted by is itself if and ...

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absolutely continuous function

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 62 words.

A stronger condition than *continuous function or *uniformly continuous function. It says that a function f on an interval ...

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absolutely convergent series

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 31 words.

A series is said to be absolutely convergent if is *convergent. For example, if then the series is convergent but not absolutely convergent, whereas ...

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absolutely summable

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 5 words.

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absorbing set

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 81 words.

A subset S of a *vector space X is an absorbing set if for any point x in X...

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