Page "Modular representation theory" ¶ 33
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## Some Related Sentences

Conversely and restriction
Conversely, when the passing restriction is lifted, a rectangular, black-on-white sign that says " PASS WITH CARE " is placed on the right side of the road and / or the yellow centerline changes from solid to broken ( indicating that passing is allowed in that direction ).

Conversely and elements
Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.
Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.
Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.
Conversely, AES is sensitive to the lighter elements, and unlike X-ray fluorescence, Auger peaks can be detected for elements as light as lithium ( Z = 3 ).
Conversely, if M is positive definite, it has an eigendecomposition P < sup >− 1 </ sup > DP where P is unitary, D diagonal, and all diagonal elements of D are real and positive.
Conversely, Psychology defines bottom-up processing as an approach wherein there is a progression from the individual elements to the whole.
Conversely, during reception, the oscillating electric and magnetic fields of an incoming radio wave exert force on the electrons in the antenna elements, causing them to move back and forth, creating oscillating currents in the antenna.
Conversely, once a basis for A has been chosen, the products of basis elements can be set arbitrarily, and then extended in a unique way to a bilinear operator on A, i. e., so the resulting multiplication satisfies the algebra laws.
Conversely, if R is a symmetric relation over a set X, one can interpret it as describing an undirected graph with the elements of X as the vertices and the pairs in R as the edges.
Conversely, in multiprocessor ( or multicore ) systems, there are two or more processing elements working at the same time, and so it is possible that they simultaneously access the same memory location.
Conversely, retaining a series ' original title sequence can allow a producer to change many key elements within a programme itself, without losing the show's on-screen identity.
Conversely, Oz has technological, architectural, and urban elements typical of Europe and North America around the turn of the twentieth century ; but this may involve cultural input from unusual external sources ( see History below ).
that is, by adjoining n < sup > th </ sup > roots of elements of Δ to K. Conversely, if L is a Kummer extension of K, then Δ is recovered by the rule
Conversely, Peter Travers of Rolling Stone viewed the film negatively, praising some elements of Branagh's direction while criticizing neglect of the romance, saying, " In his efforts to crowd the screen with character and incident, Branagh cheats on the one element that might have given resonance to the mystery: the love story.
Conversely, if this identity holds in a ring R for all pairs of elements a and b of the ring, then R is commutative.
Conversely if a Kleinian group has no nontrivial torsion elements then it is the fundamental group of a hyperbolic 3-manifold.
Conversely, without an SBC, the media traffic travels directly between the VoIP phones, without the in-network call signaling elements having control over their path.
Conversely, designers of the recent postmodern-style skyscrapers strive to mask the vents and other mechanical elements in clever and ingenious ways.
Conversely, nonlinear elements can be made to operate linearly if the signal in them is limited to a low level.

Conversely and order
Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
Conversely, from a partial order on a partition of a set S one can construct a preorder on S. There is a 1-to-1 correspondence between preorders and pairs ( partition, partial order ).
Conversely, modern social democracy emphasises a program of gradual legislative reform of capitalism in order to make it more equitable and humane, while the theoretical end goal of building a socialist society is either completely forgotten or redefined in a pro-capitalist way.
Conversely a large cargo, for example in structure relocation, may be disassembled for carriage on multiple vehicles and then reassembled in the correct order at the destination.
Conversely, it allows the programmer to order the source code to control the order of execution.
Conversely, the reviewers felt that the MS-DOS version was extremely fast, so much so that they had to slow the game operation down in order to read all the on-screen messages.
Conversely, in order to shift down, engine RPM must be increased while the gearbox is in neutral and the clutch is either engaged or disengaged.
Conversely, UPC Ireland also claims to have been in discussions right up to the last moment in order to continue broadcasting the channels.
Conversely, in informal styles, speakers will semi-consciously avoid certain optional liaisons in order not to sound " pedantic " or " stilted ".
Conversely, Jack does not mind putting the firm in a position where the rest of Bay Street is " out to get him "-Jack openly steps on the toes of larger rivals in order to get deals.
Conversely, others speculated that Shcherban's murder was a tit-for-tat order by the Prime Minister.
Conversely, in the early 21st century, several major emerging economies effectively sold large amounts of their currencies in order to prevent their value rising-and in the process building large reserves of foreign currency, principally the dollar.
It was this petit-bourgeois, almost lumpen viewpoint, that explained Rodrigues ' antipathy towards the higher middle-cass intelligentsia that made much of the political Left of the period (" I'm not moved by marches of the ruling classes ", was he to say before a march of protesters against the military dictatorship ). Conversely, for those Brazilian writers that equated modernism in literature with support for social change, Rodrigues ' longings for a lost old order made it impossible to accept the reality of his formal innovations: for the great modernist Oswald de Andrade, Rodrigues ' literature was " nothing but a wretched newspaper feuilleton ", and Rodrigues himself " an ill-educated, illustrious, pervert ".
Conversely, UPC Ireland also claims to have been in discussions right up to the last moment in order to continue broadcasting the channels.
Conversely, these opponents argue that to deny a deaf child access to a natural sign language is to deny the child access to language in general — that exposing a deaf child to an awkward, unnatural coding of an oral language is no substitute for fundamental natural language acquisition — and that a child must be fully exposed to natural language early in order have the best command of any language later.
Conversely, Russian emigre guitarists living in western countries, where only six string guitars were available, have been known to modify six string ( and sometimes twelve string ) acoustic guitars to seven string instruments, in order to better play their favorite Russian songs.
Conversely, the GDC may order the attachment of personal property valued up to \$ 25, 000, but has no authority to order the attachment of real estate, no matter how low the value.
Conversely, when the drug wears off the brain will, in severe enough cases, release less than the usual level of neurotransmitters, in order to compensate for depletion.
In this Division the teams played-off in order to get a promotion into Division A. Conversely, the two worst performing teams of Division A were relegated into Division B.

Conversely and prime
Conversely, if n is prime, then there exists a primitive root modulo n, or generator of the group ( Z / nZ )*.
Conversely, other prime ministers ' spouses, including Geills Turner and Sheila Martin, were uncomfortable with the public aspects of their role and tried to minimize their time in the press spotlight.
Conversely, if n is composite, the algorithm will always return composite: if the algorithm returns prime, then this will occur in either step 4 or step 6.
( Conversely, the prime p is a Sophie Germain prime.
Conversely during Fox prime time hours, the station was promoted as " Fox is Six " to try to build an audience for the growing network on the stronger Milwaukee station.
Conversely, if the digital period of 1 / p ( where p is prime ) is

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