Schaefer's dichotomy theorem handles the case when all the available relations are boolean operators, that is, for domain size 2.

Schaefer's dichotomy theorem was recently generalized to a larger class of relations.

A consequence, called Schaefer's fixed point theorem, is particularly useful for proving existence of solutions to nonlinear partial differential equations.

Schaefer's theorem is in fact a special case of the far reaching Leray – Schauder theorem which was discovered earlier by Juliusz Schauder and Jean Leray.

" ( Controversy, 2005, p. 3 ) A report on economic development in the area, entitled Subsidizing the Low Road: Economic Development in Baltimore, states that " public and non-profit facilities such as the Maryland Science Center, the World Trade Center, the Convention Center, and the National Aquarium " ( Subsidizing, 2002, p. 11 ) were part of then-mayor Schaefer's " focus on real estate, retailing and tourism sectors " ( p. 10 ), as areas for growth, as well as his utilization of "' public / private partnerships ' to pursue economic development " ( p. 11 ).

Sixty letter carriers from 18 states gathered in the meeting room above Schaefer's Saloon on Plankinton Avenue in Milwaukee.

One evening, when Clem and Wells added their voices to Schaefer's during a set in a solo gig, the idea for EFO was formed.

Schaefer has a respected children's music show, " Robbie Schaefer's Stuck In a Real Tall Tree ," on XM Satellite Radio, where he serves as Music Director for XM Kids, and in 2004 released his second solo album entitled " In the Flesh.

Within the month, Schaefer's colleague, the noted atmospheric scientist Dr. Bernard Vonnegut ( brother of novelist Kurt Vonnegut ) is credited with discovering another method for " seeding " supercooled cloud water.

Schaefer's legacy includes the construction of Oriole Park at Camden Yards, stricter measures taken against preventing and solving the Chesapeake Bay pollution problem, and higher standards for public schools.

Responding to Schaefer's request for tea, Krum set a thermal mug in front of him.

In 2006, BestWeekEver. tv was launched to serve as more of a daily blog mostly separate from the program itself ( beyond promotions and tie-ins for the show ), detailing humorous stories in the news, odd television and YouTube videos, and features main contributors Michelle Collins, Dan Hopper, and ( formerly ) Sara Schaefer's observations on pop culture and other items.

However, because the globe contains no actual stars, and because the circles on the globe are drawn inexactly and ambiguously by a sculptor copying the Hellenistic model rather than by a modern astronomer, the dating of the globe is still uncertain and its source or sources remain controversial ; Schaefer's conclusions have been strongly contested ( e. g., Dennis Duke, Journal for the History of Astronomy, February, 2006 ) most particularly on the ground that regardless of the globe's date the constellations on it show large disagreements with the only existing work by Hipparchus.

The girls had been tied to a tree at some point and had vanished while hitch-hiking, and these similarities to Schaefer's treatment of the girls who had gotten away led police to obtain a search warrant for the home he and his wife shared with Schaefer's ( now divorced ) mother.

At the time of Schaefer's death, a Fort Lauderdale homicide detective had been proposing to file charges against Schaefer for three unsolved murders to ensure he never got out of prison.

Shore also led the investigators to the grave site, where Schaefer's badly decomposed body had been buried for over a year.

The state later prosecuted him on perjury charges for testimony he gave in a case against Schaefer's employer for threatening to kill Ignatow if he didn't tell where Schaefer was.

And for the woods savvy hiker, the bushwhacks through the last of the LP capture Vince Schaefer's original vision for the Long Path — a tramp across short distances using ' dead-reckoning, modern point-to-point " geo-caching " and sheer map reading, orienteering skills.

While under Schaefer's original concept it might have sufficed to use the odd field road and hedgerow as shortcuts between dusty country roads, as a blazed trail it is a headache for two reasons:

After Schaefer's disappearance, police quickly suspected Ignatow, but were unable to locate any witnesses or physical evidence linking him to Schaefer's disappearance, or even to locate Schaefer's body.

Jack Schaefer's popular 1949 novel Shane contained themes associated with the Johnson County War but took the side of the settlers.

Schaefer's personality, especially his somewhat oddball sense of humor, became apparent as well.

Fred K. Schaefer's article Exceptionalism in geography: A Methodological Examination published in American journal Annals ( Association of American Geographers ) and his critique of regionalism had a big impact on economic geography.

Schaefer's altered a cloud's heat budget, Vonnegut's altered formative crystal structure – an ingenious property related to a good match in lattice constant between the two types of crystal.

Following Lonely Hearts, Leto starred in Jarrett Schaefer's directorial debut Chapter 27, which premiered at the 2007 Sundance Film Festival.

* Schaefer's method — ( artificial respiration )-Patient prone with forehead on one of his arms: straddle across patient with knees on either side of his hips, and press with both hands firmly upon the back over the lower ribs ; then raise your body slowly, at the same time relaxing the pressure with your hands.

The Colts were not the first professional sports team to leave Baltimore on Schaefer's watch.

Later that same day, when he was questioned by a female Baltimore Sun reporter about the ESOL program, Schaefer's response was to call her a " sweet little girl.

Thus ended Schaefer's long career in elected office.

If such a dichotomy theorem is true, then CSPs provide one of the largest known subsets of NP which avoids NP-intermediate problems, whose existence was demonstrated by Ladner's theorem under the assumption that P ≠ NP.

In 1978, the term Barassi Line was used to describe the dichotomy that existed in Australia's football culture, where Australian Football was most popular in all states bar New South Wales and Queensland.

" The Inquiry Committee also states that the apparent dichotomy between phonics and the whole-Language approach to teaching " is false ".

Despite this early dichotomy, recent evidence in both animals and plants has suggested that there are more than two distinct heterochromatin states, and it may in fact exist in four or five ' states ', each marked by different combinations epigenetic marks.

However, in the view of the Great Perfection ( rdzog-pa chen-po ) and in the context of the present work < nowiki >< nowiki ></ nowiki >, the same term refers to the fundamental innate mind in its natural state of spontaneity and purity, beyond the alternating states of motion and rest and the subject-object dichotomy.

The ideas of racial organic states, lebensraum, and autarky clearly found their way into Hitler's thinking, whereas pan-regions and the landpower-seapower dichotomy did not appear prominently, much less correctly, in National Socialist strategy.

Institutional dichotomy, according to John Wolfenden ( responsible for the Wolfenden Report ), in his essay The Gap — The Bridge, states that the dichotomization of intellectual disciplines by educational institutions, specifically collegiate institutions, is to blame for the communication gap between specialists in different fields.

From the early 20th century, French and British writers helped establish a dichotomy between British Indirect rule, exemplified by the Indian princely states and by Lord Lugard's writings on the administration of northern Nigeria, and French colonial direct rule.

His experience with authoritarian states – both fascist and communist – helped reinforce his political outlook of a democracy / dictatorship dichotomy rather than a simple right / left one.

The second reason for being concerned with the dichotomy between faculty members who are part of the `` in-group '' that owns and operates the institution and those who are merely paid employees, is, therefore, the baneful effect on the caliber of the teaching itself.

Historically, cryptography was split into a dichotomy of codes and ciphers ; and coding had its own terminology, analogous to that for ciphers: " encoding, codetext, decoding " and so on.

' Sex ' in Swedish, however, only signifies sexual relations, and not the proposed English dichotomy, a concept for which: sv: kön ( also from PIE g < sup > e </ sup > n -) is used.

This apparent dichotomy between Bruckner the man and Bruckner the composer hampers efforts to describe his life in a way that gives a straightforward context for his music.

# Immaterial souls do not exist — there is no mind-body dichotomy, and there is a Materialistic explanation for intuitions to the contrary.

As a former member of the Communist party, Koestler rises above the dichotomy of much of the Cold War, showing a deep understanding for the origins of the Soviet Revolution, while at the same time severely criticizing its results.

He was also the secondary Week God for the tenth week of the twenty-week cycle of the calendar, joining the sun god Tonatiuh to symbolise the dichotomy of light and darkness.

Another illustration of the delicate / robust dichotomy is the fact that being a Dedekind domain is, among Noetherian domains, a local property -- a Noetherian domain is Dedekind iff for every maximal ideal of the localization is a Dedekind ring.

While, for the sake of simplicity, it is customary to describe Jamaican speech in terms of Standard versus Creole, a clear-cut dichotomy does not adequately describe the actual language use of most Jamaicans.

This distinction has its counterparts in other disciplines, for example in biology and evolution and is known as the genus / species dichotomy.

In particular, insofar as God's simplicity does not allow for any structure — even conceptually — Divine simplicity appears to entail the following dichotomy.

Therefore, the localization of the two best-known aphasias mirrors the grossest dichotomy in brain organization: anterior areas are specialized for motor output, and posterior areas for sensory processing.

This dichotomy may result in less funding and care for invisible disabilities.

" Another argument Avicenna presented for God's existence was the problem of the mind-body dichotomy.

Dorothy Dunbar Bromley, a noted liberal writer at the time, summed up this dichotomy by describing flappers as " truly modern ", " New Style " feminists who " admit that a full life calls for marriage and children " and also " are moved by an inescapable inner compulsion to be individuals in their own right.

A number of theories have been put forward concerning the cortical-cancellous dichotomy including a recent theory suggesting that increased leptin during obesity may represent a mechanism for enlarging bone size and thus bone resistance to cope with increased body weight.

The first statement is logically true, but this does not exclude the possibility of questioning whether the presented dichotomy is appropriate in the given context, e. g., some kind of fuzzy logic is more applicable to the issue, or some definitions may be questioned and must be clarified, or one of the alternatives must be further subdivided for fair context.

In this book ( Oxford 1988: 116 ), Money develops a conception of ' bodymind ,' as a way for scientists, in developing a science about sexuality, to move on from the platitudes of dichotomy between nature versus nurture, innate versus the acquired, biological versus the social, and psychological versus the physiological.

His flair for pop melody had always been at odds with the others ' jazz ambitions, evidenced by the dichotomy seen for the songs on this album, and by October he was again out of the band.

Many critics ( such as Stanley Wells for example ) interpret this to mean that Valentine is indeed handing Silvia over to her would-be rapist, but another school of thought suggests that Valentine simply means " I will love you with as much love as I love Silvia ," thus reconciling the dichotomy of friendship and love as depicted elsewhere in the play.

As more pop music critics began writing, this had the effect of " legitimating pop as an art form "; as a result, " newspaper coverage shifted towards pop as music rather than pop as social phenomenon "; as well, in the way that critics differentiate between pop music and rock, using terms like " trivial ", " fluffy ", or " formulaic " for pop ( versus " serious ", " raw ", and " sincere " for rock ), there is an implicit or even explicitly gendered dichotomy.