Conversely, let G be any polynomial such that Af.

Conversely, if F has characteristic zero, then given an homogeneous polynomial ƒ of degree n on V, the polarization of ƒ is a multilinear function on the n-th Cartesian product of V. The polarization is defined by

Conversely, any Galois extension of K of degree p equal to the characteristic of K is the splitting field of an Artin – Schreier polynomial.

Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.

Conversely, existing DSN antennas can split time among more missions.

Conversely, one might expect that inertial motions, once identified by observing the actual motions of bodies and making allowances for the external forces ( such as electromagnetism or friction ), can be used to define the geometry of space, as well as a time coordinate.

Conversely, celebrities from other sports or general pop culture also become involved with wrestling for brief periods of time.

( Conversely, the Star Trek: Enterprise episode " Awakening " includes a line from the long-deceased Surak referring to the enemies of logic in his time as " those who marched beneath the raptor's wing ": this would appear to be a reference to the symbol of the Romulan Empire.

Conversely, Electronic Arts Square, K. K., formed at the same time and based in Japan, was responsible for publishing and marketing games produced by Electronic Arts in Asia.

Conversely, jumper classes are scored objectively, based entirely on a numerical score determined only by whether the horse attempts the obstacle, clears it, and finishes the course in the allotted time.

" Conversely, Jeffrey Tucker of the Ludwig von Mises Institute has argued that " The whole scene — which anticipated so much of the technology we have today but, strangely, not email or texting — reflected the ethos of time: a love of progress and a vision of a future that stayed on course ...

Conversely, British Decca retained a non-reciprocal right to license and issue American Decca recordings in the UK on their Brunswick Records ( US Decca recordings ) and Coral Records ( US Brunswick and Coral recordings ) labels ; this arrangement continued through 1967 when a UK branch of MCA was established utilising the MCA Records label, with distribution fluctuating between British Decca and other English companies over time.

Conversely, MP2 shows a better behavior than MP3 in the time domain, due to its lower frequency resolution.

Conversely, if a source file's modification time is in the future, it triggers unnecessary rebuilding, which may inconvenience users.

Conversely, a catastrophic event such as a mudslide may overrepresent a time period.

Conversely, a federal district court hearing a matter involving only a question of state law ( usually through diversity jurisdiction ) must apply the substantive law of the state in which the court sits, a result of the application of the Erie Doctrine ; however, at the same time, the case is heard under the Federal Rules of Civil Procedure, the Federal Rules of Criminal Procedure and the Federal Rules of Evidence instead of state procedural rules ( that is, the application of the Erie Doctrine only extends to a requirement that a federal court asserting diversity jurisdiction apply substantive state law, but not procedural state law, which may be different ).

Conversely, when the coolant water temperature decreases, its density increases and a greater number of neutrons reach the required thermal energy, increasing the number of fissions per unit of time, creating more heat.

* Conversely, a wave whose phase drifts quickly will have a short coherence time.

Conversely, if waves of different frequencies are not coherent, then, when combined, they create a wave that is continuous in time ( e. g. white light or white noise ).

Conversely, if no one was killed for a time, the other side would acknowledge this implied " truce " and act accordingly.

Conversely, if the observed object is motionless, one may wish to acquire images at the highest possible spatial resolution without regard to the time required to acquire a single image.

Conversely, a Lahar quickly loses force when it leaves the channel of its flow: even frail huts may remain standing, while at the same time being buried to the roof line in mud.

Conversely, from the employee ’ s perspective, commuting costs and time associated with communing are also eliminated.

Conversely, the sequence of an ancient gene for a given structure may have diverged considerably in different species while at the same time maintaining the same basic structural features.

Conversely, larger analytes spend little if any time in the pores and are eluted quickly.

Conversely, techniques have been proposed for generating models of GRNs that best explain a set of time series observations.

Conversely, policies which have the effect of restricting or slowing change by protecting or favouring particular existing industries or firms are likely over time to slow growth to the disadvantage of the community.

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 the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

Conversely, an algorithm to test for solvability in arbitrary integers could be used to test a given equation for solvability in natural numbers by applying that supposed algorithm to the equation obtained from the given equation by replacing each unknown by the sum of the squares of four new unknowns.

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, if an efficient verification procedure exists to check whether an answer is correct, then a Monte Carlo algorithm can be converted into a Las Vegas algorithm by running the Monte Carlo algorithm repeatedly till a correct answer is obtained.

Conversely, MAC algorithms are designed to produce matching MACs only if the same message, secret key and initialization vector are input to the same algorithm.

Conversely, because finding square roots modulo a composite number is probabilistic polynomial-time equivalent to factoring that number, any integer factorization algorithm can be used to efficiently identify a congruence of squares.

Conversely, decryption involves applying a deterministic algorithm and ignoring the random padding.

Conversely, British English favours fitted as the past tense of fit generally, whereas the preference of American English is more complex: AmEng prefers fitted for the metaphorical sense of having made an object " fit " ( i. e., suited ) for a purpose ; in spatial transitive contexts, AmEng uses fitted for the sense of having made an object conform to an unchanged object that it surrounds ( e. g., " fitted X around Y ") but fit for the sense of having made an object conform to an unchanged object that surrounds it ( e. g., " fit X into Y "); and for the spatial senses ( both intransitive and transitive ) of having been matching with respect to contour, with no alteration of either object implied, AmEng prefers fit (" The clothes fit.

Conversely, when the carbon dioxide levels in the blood decrease ( i. e., in the lung capillaries ), carbon dioxide and protons are released from hemoglobin, increasing the oxygen affinity of the protein.

Conversely, frequencies used for some railway electrification systems were much lower ( e. g. 16. 7 Hz and 25 Hz ) than normal utility frequencies ( 50 – 60 Hz ) for historical reasons concerned mainly with the limitations of early electric traction motors.

Conversely, given an ordered tree, and conventionally draw the root at the top, then the child nodes in an ordered tree can be drawn left-to-right, yielding an essentially unique planar embedding ( up to embedded homotopy, i. e., moving the edges and nodes without crossing ).

Conversely, if ( A, m, e, inv ) is a group object in one of those categories, then m necessarily coincides with the given operation on A, e is the inclusion of the given identity element on A, inv is the inversion operation and A with the given operation is an abelian group.

Conversely, the term for the western sword in Arabic was firangi ( i. e. " Frankish ").

Conversely, the definition of " unauthorized practice of law " is variable, and is often conclusory and tautological, i. e., it is the doing of a lawyer's or counselor's work by a non-lawyer for money.

Conversely, older speakers in some regions ( such as the American South ) may use in words like coach and road that have in SE ( i. e., ).

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.

A hypergraph H may be represented by a bipartite graph BG as follows: the sets X and E are the partitions of BG, and ( x < sub > 1 </ sub >, e < sub > 1 </ sub >) are connected with an edge if and only if vertex x < sub > 1 </ sub > is contained in edge e < sub > 1 </ sub > in H. Conversely, any bipartite graph with fixed parts and no unconnected nodes in the second part represents some hypergraph in the manner described above.

Conversely, using the last line as a definition one shows that the expression so defined is a connection compatible with the metric, i. e. is a Levi-Civita connection.

where e is the identity in G. Conversely, given a section s one defines a trivialization Φ by

Conversely, some bachelor's degrees in the higher faculties ( i. e., those other than arts ) at those universities are postgraduate qualifications ( e. g., the BCL and BMus at Oxford ).

Conversely, for any topology the clopen ( i. e. closed and open ) subsets yield a Boolean algebra.

Conversely, users can view content only at or below their own security level ( i. e. secret researchers can view public or secret files, but may not view top-secret files ; no read-up ).

Conversely, the following characterization of derived functors holds: given a family of functors R < sup > i </ sup >: A → B, satisfying the above, i. e. mapping short exact sequences to long exact sequences, such that for every injective object I of A, R < sup > i </ sup >( I )= 0 for every positive i, then these functors are the right derived functors of R < sup > 0 </ sup >.

which are linearly independent at each point q in U. Conversely, given such a coframe, there is a unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > which is dual to it, i. e., satisfies the duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is the Kronecker delta function on U.

Conversely ' to the degree to which the shadow is recognised and integrated, the problem of the anima, i. e., of relationship, is constellated ', and becomes the centre of the individuation quest.