Conversely every positive functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).

Conversely, the normed division algebras immediately give rise to trialities by taking each V < sub > i </ sub > equal to the division algebra, and using the inner product on the algebra to dualize the multiplication into a trilinear form.

Conversely, the inner scribe is a rehearsal mechanism for visual information and is responsible for information concerning movement sequences.

Conversely, and to much local amusement / bemusement, a speculator recently bought a tract of agricultural land near the village and resold it at enormous profit as individual plots that might one day become part of the city.

( Conversely, Saratoga Avenue, which previously had been a fairly quiet road, now sees about 18, 000 cars a day because it is the only interchange in or near the city of Saratoga.

Conversely, Morgan Quitno has rated nearby Camden the " most dangerous city " in the United States three times within the same decade and Camden had a median household income of $ 18, 007 in 2006, making it the poorest U. S. city with more than 65, 000 residents.

Conversely, the State Constitution was amended to provide that no city could elect the majority of the State Assembly, a provision later struck down by the US Supreme Court as violating the Fourteenth Amendment to the United States Constitution.

Conversely the police chief of a major city may have thousands or in the case of very large cities such as New York, tens of thousands of sworn officers.

Conversely, it remains possible that both Ghana and Djenné themselves owe their original city names to the Berber appellation for the blacks that lived there.

Conversely, there have been occasions where the university provided a focus and coherence for the cultural life of the city ; though at other times, it has withdrawn into itself and undermined urban culture.

Conversely, ale production in New Zealand is primarily undertaken by small independent breweries & brewpubs, the Shakespeare Brewery in Auckland city being the first opened in 1986 for the ' craft ' or ' premium ' sector of the beer market.

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

Conversely, Clausewitz has also been seen as " The preeminent military and political strategist of limited war in modern times.

Conversely, celebrities from other sports or general pop culture also become involved with wrestling for brief periods of time.

Conversely, restricting excursion of the diaphragm by pressing the stethoscope diaphragm surface firmly against the anatomical area overlying the physiological sounds of interest, the acoustic surround could also be used to dampen excursion of the diaphragm in response to " z "- axis pressure against a concentric fret.

* Conversely, research misconduct is not limited to NOT listing authorship, but also includes the conferring authorship on those that have not made substantial contributions to the research.

Conversely, women are generally excluded from public Uyghur Muslim life, also in contrast to Salar and Hui practice.

Conversely, Sinhalese has also borrowed from the original Vedda language, words and grammatical structures, differentiating it from its related Indo-Aryan languages.

Conversely, members of a society may also shun or scapegoat members of the society who violate its norms.

Conversely, if letters were raised in relief above the surface of the explosive, then the letters on the plate would also be raised above its surface.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be equal.

Conversely it is also advantageous to decentralise as this increases the chances of an NGO behaving flexibly and effectively to localised issues.

Conversely, deadweight loss can also come from consumers buying a product even if it costs more than it benefits them.

Conversely, if F is left adjoint to G, and G is naturally isomorphic to G ′ then F is also left adjoint to G ′.

Conversely, it has also made him an unpopular figure amongst supporters of Taiwan independence.

Conversely, if one line is perpendicular to a second line, it is also perpendicular to any line parallel to that second line.

Conversely, too-high a rate of twist can also cause problems.

Conversely, kibbutzim which have not engaged in this sort of development have also been criticized for becoming dependent on state subsidies to survive.

Conversely, it has also been theorized that Bergen inadvertently contributed to the hysteria.

( Conversely, this cloud of smoke also served to make it difficult for any archers to target the opposing soldiers that were using handguns ).

Conversely, a group may also devolve to an earlier stage if unable to resolve outstanding issues in a particular stage.

" Conversely, they also explained that fascism was of the right, not of the left.

Conversely, it also showcased Wayne Shorter's playing to the extent of containing more saxophone solos than any other Weather Report album in the band's entire career.

Conversely, he also ranked among the top ten in strikeouts and led all American League batters by grounding into 25 double plays.

Conversely, in the September 2010 production by Theater In The Pines at the Shalin Liu Performance Center in Rockport, MA ; Polonius was played for laughs, but he also maintained a keen edge as a diabolical conspirator.

Conversely, they could also be very simple, as some collectors just get a piece of paper, draw a runway on it, place it over a table, add their plane models and call it their model airport.

Conversely, long-time critics of the series complained that Exile continued to prove that Mysts slower gameplay did not belong in the fast-paced modern game market ; GameSpot editor Greg Kasavin described the Myst series as having lost its relevance.

Conversely, other reviewers complained that the graphics were not much of a visual upgrade from its predecessor, Paper Mario.

Conversely, where trust is absent, projects can fail, especially if this lack of trust has not been identified and addressed.

Conversely, the marketing department may advertise a car model as a convenient derivative of some popular car, when in fact they may be completely different engineering projects with almost no parts commonality, or from differing generations of the model.

Conversely, foxes and coyotes have sometimes been seen feeding together.

Conversely, since Imhotep was known as the " Son of Ptah ," his mother was sometimes claimed to be Sekhmet, the patron of Upper Egypt whose consort was Ptah.

Conversely, the name of the band Λucifer ( pronounced lucifer ) is sometimes spelled Aucifer.

Conversely, developers will sometimes strongly resist being required to implement the mitigation measures required by the local government as they may be quite costly.

Conversely, Julian Steward and Roy Rappaport's theories of cultural ecology are sometimes credited with shifting the functionalist-oriented anthropology of the 1950s and 1960s toward a more scientific anthropology, incorporating ecology and environment into ethnographic study ( Perry 2003: 154-157 ).

Conversely, a bishop which is impeded by friendly pawns is often referred to as a " bad bishop " ( or sometimes, disparagingly, a " tall pawn ").

Conversely, warming of an affected extremity may indicate a disruption of the body's normal thermoregulatory vasoconstrictor function, which may sometimes indicate underlying CRPS.

Conversely, Plant sometimes used more straightforward blues-based lyrics dealing primarily with sexual innuendo, as in " The Lemon Song ", " Trampled Under Foot ", and " Black Dog ".

Conversely, the Supreme Court's denial of a petition for a writ of certiorari is sometimes misunderstood to mean that the Supreme Court approves the decision of the lower court.

Conversely, characters in Massinger's plays sometimes masquerade as Catholic clergy ( The Bashful Lover ) and even hear believers ' confessions ( The Emperor of the East )— a violation of a sacrament that would be surprising for a Catholic.

Conversely, records which originate from a common source ( or fonds ) should be kept together – preferably physically, but, where that is not practicable, certainly intellectually in the way in which they are catalogued and arranged in finding aids – in accordance with what is sometimes termed the principle of archival integrity.

Conversely, small production runs are sometimes referred to as prototype or jobbing work.

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, the Berea District is sometimes called Teyateyaneng, based on its capital.

Conversely, in markets where CTV Two is not available, some CTV affiliates may sometimes carry some CTV Two programming, although this is rare.

Conversely, speculative fiction is sometimes used as the umbrella term for SF, fantasy, Magic realism, horror, etc.

Conversely, the clear-based Ilford and Fuji films sometimes results in off-color prints on color paper, but can be optically printed on black-and-white paper, just like any other black-and-white film.

Conversely, in places such as the United States, where commercial broadcasters are the norm, independent radio is sometimes used to refer to non-commercial educational radio stations that are primarily supported by listener contributions and are thus independent of commercial advertising concerns.

Conversely, when total liabilities are greater than total assets, stockholders have a negative stockholders ' equity ( negative book value ) — also sometimes called stockholders ' deficit.

Conversely, sometimes unrelated taxa acquire a similar appearance as a result of convergent evolution or even mimicry.

Conversely, very large metropolitan areas can sometimes be subdivided into multiple segments.

Conversely, when a Presta valve is fitted into the larger Schrader rim hole, grommets or reducers are sometimes used to take up the extra space.

Conversely, the perennial strategy may sometimes be the more effective survival strategy, because the plant has a head start every spring with growing points, roots, and stored energy that have survived through the winter.

Conversely, the naming conventions for a station's newscast are sometimes used as a universal on-air branding for the station itself, and may be used for general promotional purposes, even used in promoting syndicated and network programming.