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Tag Archives: group theory
Posted in Uncategorized
Tagged bosons, fermions, gluons, God particle, group theory, hadrons, Higgs boson, leptons, news, Peter Higgs, photons, physics, quarks, science, strong force, the universe, weak force
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Why bicontinuity is the right condition for topological equivalence (homeomorphism): if continuity of the inverse isn’t required, then a circle could be equivalent to a line (.99999 and 0 would be neighbours) — Minute 8 or so. Geometric construction (no … Continue reading
3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 … modulo 89 An application of group theory to Navy sonar — can you generate a sequence whose 1differences are … Continue reading
Talking in Tuples
Mathematics is the *Most* Different Language. In Can we make mathematics intelligible?, R P Boas jokes: There is a test for identifying some of the future professional mathematicians at an early age. These are the students who instantly comprehend a sentence … Continue reading
Posted in Uncategorized
Tagged Chinese, clarity, comprehension, definitions, English, function, functions, group theory, intelligibility, inverse mapping, inversion, language, Mandarin, math, mathematics, maths, measures, metrics, operation, operator, order theory, ordering, partially ordered set, poset, Ralph Philip Boas Jr., reading, relation, set, set theory, Tagalog
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In the loop quantum gravity approach, spacetime is quantized by a procedure that encodes it in a discretized structure, consisting of spin networks and spin foams. A spin network consists of an oriented embedded graph in a 3dimensional manifold with … Continue reading
Image
February 18, 2011
Tagged art, general relativity, graph theory, group theory, groups, heroes, homotopy, loop quantum gravity, manifolds, math, mathematics, maths, matrices, matrix algebra, parallel transport, quantization, science, spacetime, special unitary group, spin foam, spin network, SU(2), tetrad, tetrads, vierbein, wizardry
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Vierergruppe
Any four things in order ABCD can be rearranged. You could do ACBD — middle swap — 1324 DBCA — end swap — 4231 BCDA — rotation — 2341 for example. Let’s say the four things are the four corners … Continue reading
Posted in Uncategorized
Tagged abelian groups, Bryan Hayes, education, Felix Klein, group theory, isomorphism, math, mathematics, maths, matrices, Niels von Abel
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