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Page "Division by zero" ¶ 17
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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 ).
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, 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 expression
Conversely, other chemicals, such as the insecticide imidacloprid, can induce changes in the gene expression of the rice that cause the plant to become more susceptible to attacks by certain types of pests.
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.
Conversely, the corresponding expression for computer, powerful computers is preferred over * strong computers.
Conversely, alpha-synuclein expression levels can affect the viscosity and the relative amount of fatty acids in the lipid bilayer.
Conversely, on August 8, 2004 on CNN's Late Edition with Wolf Blitzer, National Security Advisor Condoleezza Rice told Wolf Blitzer that Khan's name had been revealed " on background " ( an expression with no fixed meaning in journalism, but which is often understood to mean that the information may not be published, or at least that the source may not be revealed ); afterwards, however, when the transcript of the background briefing revealed that Khan had not in fact been identified by name, Rice's office retracted the statement.
Conversely, studies using transgenic mice in which neuronal signaling is abolished in specific circuitries showed that synaptic activity regulates, but is not essential to maintain, the expression of these proteins.
: Conversely, suppose that φ is a smooth real-valued function on M in a neighborhood of p. Since every smooth function has a local coordinate expression, we may express φ as a function in the coordinates.
Conversely, when a fight is not playing in MegaMan's favor, unless in a doublesoul, he gains an anxious expression and following this, Darkchips begin to display themselves in the Custom Screen.
Conversely, the predicate term ' P ' cannot be said to be distributed, or exhausted in its expression because it is indeterminate whether every instance of a member of ' P ' as a class is also a member of ' S ' as a class.

Conversely and is
Conversely, suppose that **ya is in the null space of Af.
Conversely, if he gives a heavy rating to his own reading, and finds more accurate facts in it than in the others, a point is chalked up for the intrinsic, objective meaningfulness of this type of mediumistic material.
Conversely, a current of one ampere is one coulomb of charge going past a given point per second:
Conversely, an adiabatic process that is irreversible and extracts no work is in an isenthalpic process, such as viscous drag, progressing towards a nonnegative change in entropy.
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, any algebra whose associator is alternating is clearly alternative.
Conversely, any algebra for which this is true is clearly alternative.
Conversely the use of true brass seems to have declined in Western Europe during this period in favour of gunmetals and other mixed alloys but by the end of the first Millennium AD brass artefacts are found in Scandinavian graves in Scotland, brass was being used in the manufacture of coins in Northumbria and there is archaeological and historical evidence for the production of brass in Germany and The Low Countries areas rich in calamine ore which would remain important centres of brass making throughout the medieval period, especially Dinant – brass objects are still collectively known as dinanterie in French.
Conversely, if a Boolean ring A is given, we can turn it into a Boolean algebra by defining x ∨ y := x + y + ( x · y ) and x ∧ y := x · y.
Conversely, because space is expanding, and more distant objects are receding ever more quickly, light emitted by us today may never " catch up " to very distant objects.
Conversely, modern biological sciences ( including even concepts such as molecular ecology ) are intimately entwined and dependent on the methods developed through biotechnology and what is commonly thought of as the life sciences industry.
Conversely it may generate too many points in areas where the curve is close to linear.
Conversely, if the second theory is correct, then the Athenians were merely reacting to the Persians attacking them.
Conversely, every Bayesian procedure is admissible.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, the islands do not receive the upwellings ( cold streams ) that affect the West African coast, so the air temperature is cooler than in Senegal, but the sea is actually warmer, because the orographic relief of some islands, as Sao Miguel with steep mountains, cover it with rich woods and luxuriant vegetation where the dense moisture condense and soak the plants, rocks, soil, logs, moss etc.
Conversely in francophone Canada, one hundredth of a Canadian dollar is informally called a sou ( penny ), though cent is official in both English and French.
Conversely, an absence of secure cycle-parking is a recurring complaint by cyclists from cities with low modal share of cycling.
* The spectrum of any bounded linear operator on a Banach space is a nonempty compact subset of the complex numbers C. Conversely, any compact subset of C arises in this manner, as the spectrum of some bounded linear operator.

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