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<span class="mw-page-title-main">Knot theory</span> Study of mathematical knots

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, the simplest knot being a ring. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, . Two mathematical knots are equivalent if one can be transformed into the other via a deformation of upon itself ; these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing it through itself.

G<sub>2</sub> (mathematics) Simple Lie group; the automorphism group of the octonions

In mathematics, G2 is three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras as well as some algebraic groups. They are the smallest of the five exceptional simple Lie groups. G2 has rank 2 and dimension 14. It has two fundamental representations, with dimension 7 and 14.

E<sub>8</sub> (mathematics) 248-dimensional exceptional simple Lie group

In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8. The E8 algebra is the largest and most complicated of these exceptional cases.

Revenge of the Cybermen is the fifth and final serial of the 12th season of the British science fiction television series Doctor Who, which was first broadcast in four weekly parts on BBC1 from 19 April to 10 May 1975. It was the first to feature the Cybermen since The Invasion (1968) and the last until Earthshock (1982).

A joke chess problem is a puzzle in chess that uses humor as an element. Although most chess problems, like other creative forms, are appreciated for serious artistic themes, joke chess problems are enjoyed for some twist. In some cases the composer plays a trick to prevent a solver from succeeding with typical analysis. In other cases, the humor derives from an unusual final position. Unlike in ordinary chess puzzles, joke problems can involve a solution which violates the inner logic or rules of the game.

<span class="mw-page-title-main">Object diagram</span> Diagram showing the structure of objects in a system

In object-oriented programming, an object diagram in the Unified Modeling Language (UML) is a diagram that shows a complete or partial view of the structure of a modeled system at a specific time.

<span class="mw-page-title-main">Vo Prefecture</span> Prefecture in the Maritime Region of Togo

Vo is a prefecture located in the Maritime Region of Togo. The prefecture seat is located in Vogan. Amegnran is a village in the prefecture where we have several villages that are under Vo’s prefecture.

David Alexander Vogan Jr. is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups.

Anthony William Knapp is an American mathematician and professor emeritus at the State University of New York, Stony Brook working in representation theory. For much of his career, Knapp was a professor at Cornell University.

<span class="mw-page-title-main">Satake diagram</span>

In the mathematical study of Lie algebras and Lie groups, a Satake diagram is a generalization of a Dynkin diagram introduced by Satake whose configurations classify simple Lie algebras over the field of real numbers. The Satake diagrams associated to a Dynkin diagram classify real forms of the complex Lie algebra corresponding to the Dynkin diagram.

<i>Secrets of an Actress</i> 1938 film by William Keighley

Secrets of an Actress is a romantic drama film directed by William Keighley, and starring Kay Francis, George Brent, and Ian Hunter in 1938. It is about a love triangle between a stage actress, her financial backer, and his friend.

<span class="mw-page-title-main">Emmett Vogan</span> American actor (1893–1969)

Charles Emmett Vogan was an American actor with almost 500 film appearances from 1934 to 1954, making him, along with Bess Flowers, one of the most prolific film actors of all time.

In mathematics, a Vogan diagram, named after David Vogan, is a variation of the Dynkin diagram of a real semisimple Lie algebra that indicates the maximal compact subgroup. Although they resemble Satake diagrams they are a different way of classifying simple Lie algebras.

Marieve Herington is a Canadian actress who has appeared in recurring roles on How I Met Your Mother, Good Luck Charlie and Ever After High. She provides the voice of Tilly Green on the Disney Channel show Big City Greens as well as voicing animated lead characters in Delilah & Julius and Pearlie. In addition to that, she voiced Celestia Ludenburg in the popular anime video game Danganronpa: Trigger Happy Havoc, Otter in Franklin and Fifi La Fume in Tiny Toons Looniversity. At the age of 12, she began singing in major public performances. Since the age of 16, she has been fronting her own jazz ensembles. Currently, she performs with the Marieve Herington Band.

Here Comes Kelly is a 1943 American comedy crime film directed by William Beaudine and starring Eddie Quillan, Joan Woodbury and Armida. It was produced and distributed by Monogram Pictures. It was followed by a sequel There Goes Kelly in 1945.

<i>The Vampires Ghost</i> 1945 film by Lesley Selander

The Vampire's Ghost is a 1945 American horror film directed by Lesley Selander, written by Leigh Brackett and John K. Butler, and starring John Abbott, Charles Gordon, Peggy Stewart, Grant Withers, Emmett Vogan and Adele Mara. The film was released on May 21, 1945, by Republic Pictures.

<i>Love Birds</i> (1934 film) 1934 film by William A. Seiter

Love Birds is a 1934 American pre-Code comedy film directed by William A. Seiter and written by Doris Anderson, Henry Myers, and Tom Reed. The film stars Slim Summerville, ZaSu Pitts, Mickey Rooney, Frederick Burton, Emmett Vogan, and Dorothy Christy. The film was released on May 4, 1934, by Universal Pictures.

<i>The Big Gusher</i> 1951 film directed by Lew Landers

The Big Gusher is a 1951 American adventure film directed by Lew Landers and starring Wayne Morris and Preston Foster. A pair oil prospectors on a drunken spree buy an apparently worthless piece of land from a con man, then attempt to find if there may really be oil there.

Peter Engel Trapa is an American mathematician and the dean of the College of Science and College of Mines and Earth Sciences at the University of Utah. His research focus is on the representation theory of reductive Lie groups. Trapa received his Bachelor of Arts in mathematics and integrated science from Northwestern University and his Ph.D. in mathematics from the Massachusetts Institute of Technology. While at MIT, Trapa studied representation theory with David Vogan. He completed postdoctoral work at the Institute for Advanced Study in Princeton, NJ, and Harvard University.