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Conversely and open
Conversely, if dφ < sub > x </ sub > is an isomorphism then there is an open neighborhood U of x such that φ maps U diffeomorphically onto its image.
Conversely, liquid nitrogen or liquid air can be oxygen-enriched by letting it stand in open air ; atmospheric oxygen dissolves in it, while nitrogen evaporates preferentially.
Conversely, for any topology the clopen ( i. e. closed and open ) subsets yield a Boolean algebra.
Any point x gives rise to a continuous function p < sub > x </ sub > from the one element topological space 1 ( all subsets of which are open ) to the space X by defining p < sub > x </ sub >( 1 ) = x. Conversely, any function from 1 to X clearly determines one point: the element that it " points " to.
Conversely, because of the increased possibility of feedback, and because an open fit allows low frequency sounds to leak out of the ear canal, they are limited to moderately severe high-frequency losses.
Conversely, given any topological space X, the collection of subsets of X that are clopen ( both closed and open ) is a Boolean algebra.
where it is understood that d and ω refer to the exterior derivative and a matrix of 1-forms, respectively, acting on the components of ξ. Conversely, a matrix of 1-forms ω is a priori sufficient to completely determine the connection locally on the open set over which the basis of sections e is defined.
Conversely, for low stress states / longer time periods, the time derivative components are negligible and the dashpot can be effectively removed from the system-an " open " circuit.
The toric variety of a fan is given by taking the affine toric varieties of its cones and glueing them together by identifying U < sub > σ </ sub > with an open subvariety of U < sub > τ </ sub > whenever σ is a face of τ. Conversely, every fan of strongly convex rational cones has an associated toric variety.
Conversely, declarations issued at the same time by the State's Association of Military Policy Commissioned Officers went into an open Red Scare vein, declaring the MST outrightly to be " an organized movement striving at instituting a totalitarian state in our country ".
Conversely, Rochdale's government policy was decided at open meetings in which all members of the co-operative could attend, participate in debate, and engage in consensus decision making.
Conversely, CPython applications that depend on extensions to the language that are implemented in C ( e. g. NumPy ) are not compatible with IronPython, although a commercially-supported open source project to address this is underway.
Conversely, open bars have problems for hosts, in that they can result in an increased number of intoxicated, and potentially obnoxious and aggressive, attendees, as compared to other options.
Conversely, the therapist is enjoined to ' attempt to understand something from a position of not-knowing ... starting every session " without memory, desire or understanding "': sets out ' trying to listen as naively as possible ... open to the phenomena of therapy freshly, naively '.

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, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
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 ).
Conversely, in a field, the expression is always defined if b is not equal to zero.
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, path independence is equivalent to the vector field being conservative.
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.

Conversely and levels
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
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, when renin levels are low, angiotensin II and aldosterone levels decrease, contracting the extracellular fluid compartment, and decreasing blood pressure.
Conversely, serum resistin levels have been found to decline with decreased adiposity following medical treatment.
Conversely, they are a central prey item or forage fish for higher trophic levels.
Conversely, in extravascular hemolysis the reticuloendothelial system, especially splenic monocytes, phagocytose the erythrocytes and hemoglobin is not released into circulation ; serum haptoglobin levels are therefore normal.
Conversely, there may be levels of production where marginal cost is higher than average cost, and average cost is an increasing function of output.
Conversely, if higher isolation levels are used, the possibility of deadlock is increased, which also requires careful analysis and programming techniques to avoid.
Conversely, low carbon dioxide levels cause the brain's blood vessels to constrict, resulting in reduced blood flow to the brain and lightheadedness.
Conversely, prolactin is a peptide hormone that is regulated by the hypothalamus that has been found at higher levels in birds that do the majority of incubation.
Conversely, alpha-synuclein expression levels can affect the viscosity and the relative amount of fatty acids in the lipid bilayer.
Conversely, blood vessels constrict when carbon dioxide levels are below normal, so hyperventilating a patient with a ventilator or bag valve mask can temporarily reduce ICP.
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
Conversely, serum resistin levels have been found to decline with decreased adiposity following medical treatment.
Conversely some films that are " slow " under normal exposure duration retain their light sensitivity better at low light levels.
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
* Conversely, if fluid levels are excessive, secretion of these hormones is suppressed, resulting in less retention of fluid by the kidneys and a subsequent increase in the volume of urine produced.

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