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, older fonts may have the normal numeral glyph at the uppercase codepoint U + 03DE, while this position may be filled with any of several less common glyphs in newer ones.

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, given a Boolean ring R, we define the join operation by a ' b = a + b + ab, and the meet operation as multiplication.

Conversely, they may decide to call a version that is really not very different a " new edition " ( n + 1th ).

Conversely, if it is undersubscribed even at LIBOR + 275, then the arranger will be forced to raise the spread to bring more money to the table.

Conversely, is ( m + 1 )- times bounded by, or:

This rational curve sends the zeros of G to each of the coordinate points of ; that is, all but one of the vanish for a zero of G. Conversely, any rational normal curve passing through the n + 1 coordinate points may be written parametrically in this way.

Conversely, The Lost Age was ranked 78 on IGN's Readers Choice Top 100 games ever, higher than its predecessor.

Conversely, the individual claiming an attribute may only grant selective access to its information, e. g. when one proves identity in a bar or paypal authentication for payment at a web site.

Conversely, it can be a way to eliminate a name that proves too controversial ; for example, Hamburg Avenue in Brooklyn, New York became Wilson Avenue after the United States entered World War I against Germany ( see below ).

Conversely, the existence of Bletchley Park, and of the decrypting achievements there, was never officially shared with the Soviet Union, whose war effort would have greatly benefited from regular decrypting of German messages relating to the Eastern Front.

If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.

Conversely, the existence of a frontage road can increase traffic on the main road and be a catalyst for development ; hence there is sometimes an explicit decision made to not build a frontage road.

Conversely, since the existence of T < sup >∗∗</ sup > implies that that of T < sup >∗</ sup >, which in turn implies T is densely defined.

Conversely, a person's existence may be so precarious, that he has " nothing to lose " by seizing any opportunity available to benefit himself.

Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.

Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.

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, 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, given any ordered sequence of natural numbers,

Conversely, every distributive lattice is isomorphic to a ring of sets ; in the case of finite distributive lattices, this is Birkhoff's representation theorem and the sets may be taken as the lower sets of a partially ordered set.

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 ).

Equipped with this notion of length, a Riemannian manifold is a metric space, meaning that it has a distance function d ( p, q ) whose value at a pair of points p and q is the distance from p to q. Conversely, the metric tensor itself is the derivative of the distance function ( taken in a suitable manner ).

Conversely the building can be recovered from the BN pair, so that every BN pair canonically defines a building.

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, where extra strength but the smooth drive of a smaller pitch is required, the chain may be " siamesed "; instead of just two rows of plates on the outer sides of the chain, there may be three (" duplex "), four (" triplex "), or more rows of plates running parallel, with bushings and rollers between each adjacent pair, and the same number of rows of teeth running in parallel on the sprockets to match.

Conversely, any pair of lattice points with this property constitute a fundamental pair, and furthermore, they generate the same lattice.

* Conversely, if G has a BN pair of rank 1, then the action of G on the cosets of B is doubly transitive.

Conversely, given a pair of symmetric 2-forms h and k, the Kulkarni – Nomizu product of h and k

Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.

Conversely, suppose that **ya is in the null space of Af.

Conversely, let G be any polynomial such that 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, the Radical Republicans criticized him for moving too slowly in abolishing slavery.

Conversely, the vowel marks of the Tigrinya abugida and the Amharic abugida ( ironically, the original source of the term " abugida ") have been so completely assimilated into their consonants that the modifications are no longer systematic and have to be learned as a syllabary rather than as a segmental script.

Conversely, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.

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, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.

Conversely, Carnegie a titan of industry seems to embody all of the qualities of Spencerian survival of the fittest.

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, a standard line on which voice service has been unsubscribed ( such as an ADSL dry loop ) may still accept calls to the 958 test exchange but not allow calls to standard numbers.

Conversely, Howard Marshall writes that the speeches were not entirely the inventions of the author and, while they may not be verbatim, nevertheless records the general idea.

Conversely, Applesoft lacked the ( remainder ) operator that had been present in Integer BASIC.

Conversely, towed artillery was and remains cheaper to build and maintain.

Conversely, most realists ( specifically, indirect realists ) hold that perceptions or sense data are caused by mind-independent objects.

Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.

Conversely, the withdrawal syndrome may also be a trigger for relapse.

Conversely, any algebra whose associator is alternating is clearly alternative.

Conversely, any algebra for which this is true is clearly alternative.