Sentence examples for mathematical group from inspiring English sources

He also developed the principles involved in applying mathematical group theory to investigate the energy levels of atomic nuclei.

I was just putting the finishing touches to an explanation of mathematical group theory for my biography of mathematical prodigy Simon Norton when Dido Davies – the wizard who advises me on all my writing, an editor of genius, without whom I wouldn't feel confident about a single page – rang up to tell me she was going to die in six weeks' time.

The basic representation of this mathematical group is a pair, or doublet, and, according to electroweak theory, the quarks and leptons are each grouped into pairs of increasing mass: (u, d), (c, s), (t, b) and (e, ve), (μ, vμ), (τ, vτ).

However, we can also scan for phrases such as "associative group" or "group theory", or even phrases that do not contain the word "group", such as "inverse element", and link these directly to the entry for "group" in the Online Dictionary (which is a definition specifically of a mathematical group).

The two operations of such a ring need not be the addition and multiplication of ordinary arithmetic; rather, they can be more general, such as the operations of a mathematical group or monoid.

It states that a certain class of mathematical groups has either one type of internal structure or another -- that's the alternative.

There are various possibilities, but the simplest and most-studied GUTs are based on the mathematical symmetry group SU 5).

"You would have to be a saint or a complete sucker to want to be a maths teacher", said Alison Wolf, professor of education and head of the mathematical sciences group at the institution of education.

In short, physicists had to discover the correct mathematical symmetry group for describing the transformations between different subatomic particles and then identify for the known forces the messenger particles required by fields with the chosen symmetry.

In 1961 two physicists, Murray Gell-Mann of the United States and Yuval Neʾeman of Israel, proposed a particle classification scheme called the Eightfold Way, based on the mathematical symmetry group SU 3), which described strongly interacting particles in terms of building blocks.

More recently, an interesting result has been presented by Mateja Jamnik of Alan Bundy's Mathematical Reasoning Group at Edinburgh (Jamnik 2001).