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Page "Weight (representation theory)" ¶ 18
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Some Related Sentences

Similar and definitions
Similar narrow and broad definitions are applied to the Chicago's downtown high rise districts.
Similar definitions are used in library science, and other areas of scholarship.

Similar and apply
Similar relationships apply in other fields.
Similar remarks apply to the colimit functor ( which is covariant ).
) Similar rules apply to mosques in Malaysia, where larger mosques that are also tourist attractions ( such as the Masjid Negara ) provide robes and headscarves for visitors who are deemed inappropriately attired.
Similar rules apply to the pronunciation of the-s in dogs and cats: it depends on the quality ( voiced vs. unvoiced ) of the final preceding phoneme.
( Similar considerations apply to service marks and trade dress.
Similar statements apply to the dual situation of terminal morphisms from U. If such morphisms exist for every X in C one obtains a functor V: C → D which is right-adjoint to U ( so U is left-adjoint to V ).
Similar statements apply to other devices capable of running Rockbox, as well.
Similar considerations apply to other emergent concepts in continuum mechanics such as viscosity, elasticity, tensile strength, etc.
Similar considerations apply in the Kolbe nitrile synthesis.
Similar constraints apply to Krasnikov's superluminal subway.
Similar declarations of rights, as in Virginia, were not taken by the courts to apply to Africans.
Similar considerations apply to tube instruments.
Similar considerations apply to generating other non-uniform distributions such as Rayleigh and Poisson.
Similar caveats apply to the following examples which yield approximately exponentially distributed variables:
Similar specifications apply for cotton, orange juice, cocoa, sugar, wheat, corn, barley, pork bellies, milk, feedstuffs, fruits, vegetables, other grains, other beans, hay, other livestock, meats, poultry, eggs, or any other commodity which is so traded.
Similar considerations apply to Planck's constant, h, which relates energy ( with dimensions of mass, length and time ) to frequency ( dimensions of time ).
Similar considerations apply to caecilians and aquatic mammals:
Similar figures apply in the remainder of the Western world.
Copper sulfate and Bordeaux mixture ( copper sulfate plus lime ), approved for organic use in various jurisdictions, can be more environmentally problematic than some synthetic fungicides dissallowed in organic farming Similar concerns apply to copper hydroxide.
Similar arrangements apply in the Senate.
Similar laws apply to other activities involving transportation ; Michigan prohibits intoxicated bicycling, horseback riding, buggy driving, use of motorized farm implements, or boating, the latter whether a pilot or passenger, with much the same threshold of intoxication.
Similar remarks apply to all sample quantiles.
Similar limitations apply to textbooks.
Similar laws and regulations apply in many other countries.
Similar relationships apply to other types of enclosures.

Similar and Lie
Similar constructions can be made for general gauge theories with a compact Lie group G and a connection form.
Similar structures with different compatibility between the product and coproduct, or different types of product and coproduct, include Lie bialgebras and Frobenius algebras.

Similar and group
Similar to the intrinsic muscles of the hand, there are three groups of muscles in the sole of foot, those of the first and last digits, and a central group:
Similar equations can be written for any one-parameter unitary group of symmetries of the physical system.
Similar to other alkali metals, rubidium metal reacts violently with water, forms amalgams with mercury and alloys with gold, iron, caesium, sodium, and potassium, but not lithium ( despite the fact that rubidium and lithium are in the same group ).
Similar tricks can be played in order to allow more tasks than agents, tasks to which multiple agents must be assigned ( for instance, a group of more customers than will fit in one taxi ), or maximizing profit rather than minimizing cost.
Similar features were supported for cassette tape storage, but oddly the syntax was marred, disk commands were D-something, like while tape commands were something-TAPE, like .< ref group = notes > It is not clear why this difference in syntax existed ; seems like a better solution, and < code > PUT D filename </ CODE > even better .</ ref >
" Similar to Thorne, this group of decorated Finnish wartime officers had emigrated to the United States and were inducted into the US Army under the Lodge Act.
Similar to other reality shows, The Mole features challenges in which the players received money that was added to a group pot which only one person could win.
In a 2006 update to its 50 year master plan, the Texas Medical Center group states " TMC Faces Issues Similar to Large Cities " and compared its urban cityscape to that of the Chicago Loop in Chicago and Lower Manhattan in New York City.
Similar traits can be seen in the Laocoön group which is a reworked copy of a lost original that was likely close both in time and place of origin to Nike, but while Laocoon, vastly admired by Renaissance and classicist artists, has come to be seen as a more self-conscious and contrived work, Nike of Samothrace is seen as an iconic depiction of triumphant spirit and of the divine momentarily coming face to face with man.
Similar accusations have been made regarding the name " Orange Volunteers ", another loyalist paramilitary group that emerged in 1998.
* Similar to the previous example, the category of k-linear representations of the group G is the same as the functor category k-Vect < sup > G </ sup > ( where k-Vect denotes the category of all vector spaces over the field k ).
Similar to the Heye Center in Lower Manhattan, the museum offers a range of exhibitions, film and video screenings, school group programs, public programs and living culture presentations throughout the year.
Similar characters have appeared in many genre series: the Trio, a group of geeky would-be villains in season six of Buffy the Vampire Slayer and a pair of nerdy " paranormal investigator " bloggers who appear in the first season " Hell House " and third season episode " Ghostfacers!
A Similar Text based series, Known as Fanfiction Failure Involving a group of characters, of which a trio named Troy, Hawk and Claus seem to be the most popular, mock Fanfiction.
Similar to the other Afrikaans-speaking group at the time, the Trekboers, they originally populated the frontiers of the infant Cape Colony, living as semi-nomadic commandos of mounted gunmen.
Similar to a small franchise, each group creates its own plan of operation in line with the overall goals of the association.
Similar effects of group polarization are evident in the U. S. legal system.
Similar to the bonuses in Grand Theft Auto and Grand Theft Auto 2, the player receives a large cash reward for running over a group of English " Mods " with a car without braking.
Similar advancements were made in this period by the United States Navy and United States Marine Corps with the F4D Skyray, F8U Crusader and F4H Phantom II carrier-based aircraft, but Naval Aviation lacked a similar naming group.
Similar scripts were used for writing the Rhaetic and Venetic languages and the Germanic runic alphabets probably derive from a script belonging to this group.
Similar attachments have been reported in other species: in April 1929, a group of young forest mice ( Apodemus sylvaticus ) was reported in Holstein, Germany ; and there have been reports of squirrel kings.
Similar army camps were also built, notably one on the mountain of Oreb, where another group of radical Hussites established themselves, and became known as the Orebici ( Orebites ).
Similar to the succeeding Code Lyoko, Garage Kids was intended to be a 26-episode series detailing the lives of four French boarding school students who have discovered the secret of Xanadu, a virtual world created by a research group headed by the Professor.

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