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Page "Degenerate form" ¶ 4
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Likewise and nondegenerate
Likewise, J preserves a nondegenerate, skew-symmetric form ω if and only if J is a symplectic transformation ( that is, if ω ( Ju, Jv )

Likewise and form
Likewise a popular Hindu ritual form of worship of North Malabar in Kerala, India is the Tabuh Rah blood offering to Theyyam gods, despite being forbidden in the Vedic philosophy of sattvic Hinduism, Jainism and Buddhism, Theyyam deities are propitiated through the cock sacrifice where the religious cockfight is a religious exercise of offering blood to the Theyyam gods.
Likewise there has been long debate on how perception of beauty in the natural world, especially perception of the human form as beautiful, is supposed to relate to perceiving beauty in art or artefacts.
Likewise, written texts include nonverbal elements such as handwriting style, spatial arrangement of words and the use of emoticons to convey emotional expressions in pictorial form.
Likewise, if a substance can form crystals, it can also form polycrystals.
Hiragana is used to write native words for which there are no kanji, including particles such as から kara " from ", and suffixes such as さん ~ san " Mr., Mrs., Miss, Ms ." Likewise, hiragana is used to write words whose kanji form is obscure, not known to the writer or readers, or too formal for the writing purpose.
Likewise, a monopoly should be distinguished from a cartel ( a form of oligopoly ), in which several providers act together to coordinate services, prices or sale of goods.
Likewise, Islamic art contributed to a lasting pottery form identified as Hispano-Moresque in Andalucia ( Islamic Spain ).
Likewise, Peart's percussion became diversified in the form of triangles, glockenspiel, wood blocks, cowbells, timpani, gong and chimes.
Likewise, syncretism, the attempt to take over creeds of practices from other religions or even to blend practices or creeds from different religions into one new faith is an extreme form of inter-religious dialogue.
Likewise a popular Hindu ritual form of worship of North Malabar in Kerala, India is the Tabuh Rah blood offering to the Theyyam gods.
Likewise, Jackson Pollock invented an entirely new form of painting and a new kind of abstraction by dripping, pouring, splashing and splattering paint onto unstretched canvas lying on the floor.
Likewise, military dictatorships often take the form of " collective presidencies " such as the South American juntas of the late 20th century, meaning that no one person wields supreme power.
Likewise the birds, which evolved from the dinosaurs, are defined as a separate group from them, because they represent a distinct new type of physical form and functionality.
Likewise, the installation and care of any deity's form ( frequently appearing as a statue ) can involve daily ritual anointing.
Likewise, the Rus passed by the name of Ruteni, the form being influenced by one of the Gallic tribes mentioned by Julius Caesar.
Likewise, worled and gurled suggest " world " and " girl " but have the-ed form of a past-tense verb.
Likewise, they must have no sensory perception whatsoever on account of Aristotle's theory of cognition: were any form of sense perception to intrude upon their thoughts, in that instant they would cease to be themselves, because actual self-reflection is their singular essence, their whole being.
Likewise, during an opposition procedure before the EPO, where the grant of a recently granted European patent may be opposed by a third party ( opponent ), the patent may be revoked if the Opposition Division form a different view on whether or not the invention in question was patentable.
Likewise, the non-negative rational numbers and the non-negative real numbers form semirings.
Likewise the rate at which trait groups can form and dissolve can be many times faster than the rate at which individuals reproduce, providing cumulative as opposed to all-or-nothing benefits.
Likewise, the superhero genre typically emulates the comic book universes such as the DC and Marvel Universes as a form of science fantasy set in contemporary setting where all fantastic elements from futuristic technology to mythic beings co-exist.
Likewise, the icon of the blindfold can symbolize the dichotomy of the conscious and the unconscious, as wearing a blindfold represents a stasis or a lesser state of consciousness, whereas taking off one's blindfold represents a form of awakening or rebirth.
Likewise steels with higher carbon contents will form cementite before reaching the eutectoid point.
Likewise, under standard conditions, graphite is the most stable form of carbon.

Likewise and is
Likewise, and equally fascinating, is the news that such unlikely synonyms as `` pratakku '', `` sweathruna '', and the tongue-twister `` nnuolapertar-it-vuh-karti-birifw- '' all originated in the same village in Bathar-on-Walli Province and are all used to express sentiments concerning British `` imperialism ''.
Likewise, it is Miss Marple herself who poses as a maid to find out the facts of the case, not a young friend of hers who has made a business of it.
Likewise, there is a formula for combining the covariances of two sets that can be used to parallelize the computation:
Likewise, the fact that the allomorph does not appear after stem-final is because the earlier clause for the allomorph takes priority ; and the fact that the allomorph does not appear after stem-final voiceless phonemes is because the preceding clause for the takes priority.
Likewise, if the skill is being used in a commercial or industrial way it may be considered design instead of art, or contrariwise these may be defended as art forms, perhaps called applied art.
Likewise, SECAM is used with a variety of 625-line standards.
Likewise, a baserunner can attempt to steal a base, or the batter can choose to swing at an intentional ball ; however, these rarely occur since taking these risks is rarely more beneficial to the offensive team than allowing the walk.
Likewise, bony fish can release the ammonia into the water where it is quickly diluted.
Likewise, the boiling point decreases with decreasing pressure until the triple point is reached.
Likewise, Jeremiah ’ s exclamation “ For I hear the whispering of many: Terror is all around !” ( Jer.
Likewise, a continuous-time filter is minimum-phase if the zeros of its transfer function fall in the left half of the complex s-plane.
Likewise, as with most collectibles, a coin collection does not produce income until it is sold, and may even incur costs ( for example, the cost of safe deposit box storage ) in the interim.
Likewise, Roger Cohen, in an op-Ed for the New York Times propounded that, " captive minds ... resort to conspiracy theory because it is the ultimate refuge of the powerless.
Likewise, the only difference between ruby and sapphire is the type of impurities present in a corundum crystal.
Likewise, spheres are compact, but a sphere missing a point is not since a sequence of points can tend to the missing point without tending to any point within the space.
Likewise, it is unclear whether prophylactic treatment of chronic infection is beneficial in persons who will undergo immunosuppression ( for example, organ transplant recipients ) or in persons who are already immunosuppressed ( for example, those with HIV infection ).
Likewise, the symbol Δ ( delta ) is used as a prefix for the right-handed propeller twist.
Likewise, " him " is a remnant of both the Old English dative " him " and accusative " hine ", " her " serves for both Old English dative " hire " and accusative " hīe ", etc.
Likewise, tracing — drawing on a thin piece of paper, sometimes designed for that purpose ( tracing paper ), around the outline of preexisting shapes that show through the paper — is also not considered fine art, although it may be part of the draftsman's preparation.
Likewise, the problem of computing a quantity on a manifold which is invariant under differentiable mappings is inherently global, since any local invariant will be trivial in the sense that it is already exhibited in the topology of R < sup > n </ sup >.

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