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| Yang–Baxter operators are [[invertible]] [[linear operator|linear]] [[endomorphisms]] with applications in [[theoretical physics]] and [[topology]]. They are named after [[theoretical physicists]] [[Yang Chen-Ning]] and [[Rodney Baxter]]. These [[mathematical operator|operators]] are particularly notable for providing solutions to the quantum [[Yang–Baxter equation]], which originated in [[statistical mechanics]], and for their use in constructing [[Knot invariant|invariants]] of [[knot theory|knots]], links, and three-dimensional [[manifolds]].
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| In [[Kaluza–Klein theory]], a unification of [[general relativity]] and [[electromagnetism]], the five-fimensional Kaluza–Klein–Riemann curvature tensor (or Kaluza–Klein–Riemann–Christoffel curvature tensor) is the generalization of the four-dimensional [[Riemann curvature tensor]] (or Riemann–Christoffel curvature tensor).
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| The 1859 City of Adelaide colonial by-election was held on 13 May 1859 to elect one of six members for [[Electoral district of City of Adelaide|City of Adelaide]] in the [[South Australian House of Assembly]], after sitting member [[William Henville Burford]] resigned on 29 April 1859.
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| In [[differential geometry]] and in particular [[Yang–Mills theory]], Uhlenbeck's singularity theorem is a result allowing the removal of a [[Singularity (mathematics)|singularity]] of a [[Four-dimensional Yang–Mills theory|four-dimensional Yang–Mills]] field with finite energy using gauge. It states as a consequence that Yang–Mills fields with finite energy on flat [[euclidean space]] arise from Yang–Mills fields on the curved [[sphere]], its [[one-point compactification]].
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| John Donegan is an Irish physicist and academic specializing in photonics, nanophotonics, and optical communications. He is the Professor of Physics and Applications of Light at Trinity College Dublin and Deputy Director of the [[CRANN]] Nanoscience Research Centre having previously served as Head of the School of Physics at Trinity.
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| David D. O'Regan is an Irish physicist and professor in physics at [[Trinity College Dublin]], where he leads the Quantum Theory of Materials Research Group. He is also a member of the [[CRANN]] institute, a large centre for nanoscience research at Trinity.
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| Dora Reisser (born February 1942) is a former British actress and fashion designer.
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| Igor Shvets is the Head of Applied Physics at the School of Physics, [[Trinity College Dublin]] (TCD), where he is also a principal investigator at [[CRANN]] and [[AMBER]].. He has worked in nanomaterials, thin-film physics, energy systems, and transparent conducting oxides, and has founded technology spinouts in Ireland.
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| data-sort-value=1252 | [[Special:Contribs/FrankBierFarmer|FrankBierFarmer]] (1252)
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| [[Conformal rotation vector]]
| The conformal rotation vector, whose coordinates are also known as modified Rodrigues parameters or Wiener–Milenkovic parameters, is a three-dimensional [[Quaternion#Scalar and vector parts|vector]] representing a [[3D rotation group|three-dimensional rotation]] or [[orientation (geometry)|orientation]]. It is the [[stereographic projection]] of a [[versor]] ([[quaternions and spatial rotation|unit quaternion]]) onto the [[Quaternion#Definition|pure-imaginary]] [[hyperplane]].
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| data-sort-value=39427 | [[Special:Contribs/Jacobolus|Jacobolus]] (39427)
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| [[Birman–Schwinger principle]] <small>(Eigenvalue transformation method)</small>
| In [[mathematics]] and [[physics]], the Birman–Schwinger principle is a useful technique to reduce the eigenvalue problem for an unbounded differential operator (such as a [[Schrödinger operator]]) to an eigenvalue problem for a bounded integral operator. It originates from independent work by [[Mikhail Shlyomovich Birman|M. Sh. Birman]] and [[Julian Schwinger|J. Schwinger]] in 1961.
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| data-sort-value=72 | [[Special:Contribs/Small epsilon|Small epsilon]] (72)
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