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Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
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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 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 functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).
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 real
Conversely, both owners of capital and labor profit in real terms from an increase in the capital endowment.
Conversely, given a harmonic function, it is the real part of an analytic function, ( at least locally ).
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, given any harmonic function in two dimensions, it is the real part of an analytic function, at least locally.
Conversely, the DHT is equivalent to computing the DFT of x < sub > n </ sub > multiplied by 1 + i, then taking the real part of the result.
Conversely, for real-valued functions f ( t ), the Hartley transform is given from the Fourier transform's real and imaginary parts:
Conversely, enchantments are also used to describe spells that cause no real effects but deceive people, either by directly affecting their thoughts or using some kind of illusions.
Conversely, Janet Maslin in The New York Times called the film " bold, attention-getting and more than a little facile, a stylish-looking film without the connective tissue to give it real depth.
Conversely, high powered engines commonly complete a " 4th gear sweep " test in less than 10 seconds, which is not a reliable load condition as compared to operation in the real world.
Conversely, if the probing stylus enters a film thick enough to have several layers of nodules so it cannot be spread laterally, or if it enters on top of a cobblestone in a single layer, then it will measure not only the real hardness of the diamond bonding, but an apparent hardness even greater because the internal compressive stress in those nodules would provide further resistance to penetration of the material by the stylus.
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, it has also been said that the connection between virtual crimes and real crimes are " tenuous at best: It is the link between a brutal rape and a fictional story of a brutal rape.
Conversely, simply mocking one method might require far less configuration than setting up an entire real class and therefore reduce maintenance needs.
Conversely, a very powerful political group may use its power for opportunistic purposes because it knows that criticism of such action has no real effect ( it is possible to " get away with it ").
Conversely and field
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, those same crystals will change about 0. 1 % of their static dimension when an external electric field is applied to the material.
Conversely, a decrease in wavelength is called blueshift and is generally seen when a light-emitting object moves toward an observer or when electromagnetic radiation moves into a gravitational field.
Conversely, a spinning superconductor generates a magnetic field, precisely aligned with the spin axis.
Conversely, one can consider the flux the more fundamental quantity and call the vector field the flux density.
Given a vector space V over a field K, the span of a set S ( not necessarily finite ) is defined to be the intersection W of all subspaces of V which contain S. W is referred to as the subspace spanned by S, or by the vectors in S. Conversely, S is called a spanning set of W.
Conversely, the variant of speedball is played on a smaller field and has a very fast pace ( with games lasting up to five minutes ).
for some real-valued functions a and b depending, respectively, on x and y. Conversely, given any such pair of real-valued functions, there exists a vector field X satisfying 1. and 2.
Conversely, if is a separable algebraic extension, and if L is any intermediate field, then and are separable extensions.
Conversely, and precisely at the same time as the discovery of the " wikt: bordereau | bordereau " in the summer of 1894, the first successful prototype of the highly advanced long-recoil Mle 1897 Canon de 75 modèle 1897 | French 75 field gun had just been tested in great secrecy.
Conversely, the open field levels were played in an isometric viewpoint, with checkered floors, clouded backgrounds and a waterfall.
Conversely, if all three lenses are used from distances such that the face fills the field, the wide-angle will be used from closer, making the nose larger, and the telephoto will be used from farther, making the nose smaller.
Conversely, the valuation on a discrete valuation ring can be extended to a valuation on the quotient field giving a discrete valued field, whose associated discrete valuation ring is just.
Conversely, such a rational parameterization induces a field homomorphism of the field of functions of V into.
Conversely, the topological charge only makes sense in the ordered phase and not at all in the disordered phase, because in some hand-waving way there is a " topological condensate " in the disordered phase which randomizes the field from point to point.
Conversely, any effect observed in an accelerated reference frame should also be observed in a gravitational field of corresponding strength.
Conversely, when applying a current ( along the y-axis ) and a perpendicular magnetic field ( along the z-axis ) a temperature gradient appears along the x-axis.
If f is unramified at a point x, then f is quasi-finite at x. Conversely, if f is quasi-finite at x, and if also, the local ring of x in the fiber f < sup >− 1 </ sup >( f ( x )), is a field and a finite separable extension of κ ( f ( x )), then f is unramified at x .< ref > EGA IV < sub > 4 </ sub >, Théorème 17. 4. 1 .</ ref >
Conversely, any Galois extension of K of degree p equal to the characteristic of K is the splitting field of an Artin – Schreier polynomial.