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Conversely every positive functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).
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Conversely and every
Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.
Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.
Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
Conversely, every preorder is the reachability relationship of a directed graph ( for instance, the graph that has an edge from x to y for every pair ( x, y ) with x ≤ y ).
Conversely, though every president from Washington to John Quincy Adams can be definitely assigned membership in an Anglican or Unitarian body, the significance of these affiliations is often downplayed as unrepresentative of their true beliefs.
Conversely, birds of prey-which show distinct reverse sexual dimorphism — tend to be monogamous for long periods or mate for life ; some species like the Snail kite will choose new mates every year, polygyny is noted in many Harriers and polyandry has been observed in the Harris ' Hawk ( notable for being the only bird of prey to regularly live and hunt in family and social groups ) and the aforementioned Galapagos hawk.
Conversely, every positive semi-definite matrix is the covariance matrix of some multivariate distribution.
We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.
Conversely, if we pick every member of the same population with property and ask " what proportion of these have property?
Conversely, every admissible statistical procedure is either a Bayesian procedure or a limit of Bayesian procedures.
As stated earlier, an adjunction between categories C and D gives rise to a family of universal morphisms, one for each object in C and one for each object in D. Conversely, if there exists a universal morphism to a functor G: C → D from every object of D, then G has a left adjoint.
It is a fact that the ring is a principal ideal ring ; that is, for any ideal I in, there exists an integer n in I such that every element of I is a multiple of n. Conversely, the set of all multiples of an arbitrary integer n is necessarily an ideal, and is usually denoted by ( n ).
This ring is the endomorphism ring of A. Conversely, every ring ( with identity ) is the endomorphism ring of some object in some preadditive category.
Conversely, every Polish space is homeomorphic to a G < sub > δ </ sub >- subset of the Hilbert cube.
Conversely, extra lives are earned by collecting heart points, which are earned by defeating enemies or collecting Hearts, with an extra life earned for every 100 points earned.
Conversely the building can be recovered from the BN pair, so that every BN pair canonically defines a building.
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 >.
Conversely and positive
Conversely, in an n-channel enhancement-mode device, a positive gate-to-source voltage is necessary to create a conductive channel, since one does not exist naturally within the transistor.
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, some have identified low protein intake as a positive factor, protein is among the causes of dietary acidity.
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, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is the Cholesky decomposition.
Conversely, any choice of μ, full rank matrix U, and positive diagonal entries Λ < sub > i </ sub > yields a non-singular multivariate normal distribution.
Conversely, inserting a tube that is too small can result in inability to achieve effective positive pressure ventilation due to retrograde escape of gas through the glottis and out the mouth and nose ( often referred to as a " leak " around the tube ).
Conversely, a number that is greater than zero is called positive ; zero is usually thought of as neither positive nor negative.
" Conversely, in the positive sense, it would refer to " having it both ways " or " having the best of both worlds.
Conversely, the film did receive notably positive reviews from such critics as Varietys Derek Elley, A. O. Scott of The New York Times, and online critic James Berardinelli.
Conversely, by the Riesz representation theorem, each positive linear form on arises as integration with respect to a Radon measure and is thus a continuous positive linear form on.
Conversely, recruiting creatures which share a positive predisposition towards each other increases their morale.
Conversely, a down period is characterized by the close being lower than the previous period's ( note that D is nonetheless a positive number ),
Conversely, increasing the external K < sup >+</ sup > concentration raises ( more positive ) the K < sup >+</ sup > equilibrium potential and produces a positive shift in reversal potential.
Conversely, he instituted positive changes, such as longer home leaves and better food and medical / surgical assistance for the troops.
Conversely and functional
Conversely, in functional code, the output value of a function depends only on the arguments that are input to the function, so calling a function f twice with the same value for an argument x will produce the same result f ( x ) both times.
Conversely, if a white father is paired with a green mother with functional chloroplasts, the progeny will only inherit functional chloroplasts, and will thus be green.
Conversely, the density determines the wave function modulo a phase factor, providing the formal foundation of density functional theory.