While Grothendieck topologies are most often used to define cohomology theories, they have found other applications as well, such as to John Tate's theory of rigid analytic geometry.

This is in contrast with the methods found in analytic philosophy, whereby some say a philosopher will sometimes begin by appealing to his or her intuitions on an issue and then form an argument with those intuitions as premises.

In analytic geometry, the distance between two points of the xy-plane can be found using the distance formula.

An analytic proposition cannot be denied without a contradiction, but one may fail to know that there is a contradiction because it may be a contradiction that can be found only by a long and abstruse line of logical or mathematical reasoning.

An effective form of this therapy has been found to be cognitive analytic therapy.

Likewise, self-described " continental philosophers " can be found in philosophy departments in the United Kingdom, North America, and Australia, and some well-known analytic philosophers claim to conduct better scholarship on continental philosophy than self-identified programs in continental philosophy, particularly at the level of graduate education.

An illustration of some important differences between " analytic " and " continental " styles of philosophy can be found in Rudolf Carnap's " Elimination of Metaphysics through Logical Analysis of Language " ( Originally published in 1932 as " Überwindung der Metaphysik durch Logische Analyse der Sprache "), a paper some observers have described as particularly polemical.

From this Winnicott derived his idea of how ' the infant needs " a period of hesitation " in which to rediscover ' - again a concept transferred to analytic work: ' the analyst needs to tolerate what Winnicott speaks of as " the period of hesitation "... allowing the patient to use the analyst as someone who is there to be found ... to be shoved down patients ' throats '.

For example, a number of studies have found that people who grow up in East Asian cultures such as China and Japan tend to develop holistic thinking styles, whereas people brought up in Western cultures like Australia and the USA tend to develop analytic thinking styles.

For example, Tarski found an algorithm that can decide the truth of any statement in analytic geometry ( more precisely, he proved that the theory of real closed fields is decidable ).

Although Tits ' proof used algebraic geometry, Guivarc ' h later found an analytic proof based on V. Oseledets ' multiplicative ergodic theorem.

The notion of an aporia is principally found in Greek philosophy, but it also plays a role in post-structuralist philosophy, as in the writings of Derrida and Irigaray, and it has also served as an instrument of investigation in analytic philosophy.

As neutron distributions came under detailed scrutiny, elegant approximations and analytic solutions were found in simple geometries.

This means that Feminist philosophers can be found in the analytic and continental traditions, and the different viewpoints taken on philosophical issues with those traditions.

This is a simple form of inverse modeling, since the result ( s ) is measured in the well, r, t, and Q are observed, and values of T and S which best reproduce the measured data are put into the equation until a best fit between the observed data and the analytic solution is found.

Conversely, synthetic languages often combine many lexical morphemes into single words, making it difficult to boil them down to the traditional sense of words found more easily in analytic languages ; this is especially difficult for polysynthetic languages, such as Inuktitut and Ubykh, where entire sentences may consist of a single word.

Shown below are the distribution of synthetic and analytic forms in the standard language ; in the dialects, other patterns may be found.

He found that the themes eventually addressed in analytic work were in fact present in transcripts from the very first sessions.

A 2005 California study found that early intensive behavior analytic treatment, a form of ABA, was substantially more effective for preschool children with autism than the mixture of methods provided in many programs ; this study did not use random assignment or a uniform assessment protocol, and provided limited information about the intervention, making it difficult to replicate.

He found the exact solution of the geodesic equations for the Kerr / Newman electrovacuum solution, and the maximal analytic extension of this solution.

The cumulative distribution function is not analytic and is best found by integrating the above series.

In fact the p-adic analytic groups mentioned above can all be found as closed subgroups of for some integer n,

Using analytic induction in the context of the humanistic coefficient, not unduly influenced by questions of structure or function, an objective order for the social world is found.

Jung also found psychological equivalents for many other alchemical concepts, with ' the characterization of analytic work as an opus ; the reference to the analytic relationship as a vas, vessel or container ; the goal of the analytic process as the coniunctio, or union of conflicting opposites '.

The prototype for this model can be found in Bolos of Mendes ' second century BCE work, Physika kai Mystika ( On Physical and Mystical Matters ).

Another derivation of the formula, based on a physical reflectance / transmittance model, can be found in a 1981 paper by Bruce A. Wallace.

The pop science TV program MythBusters attempted to model Archimedes ' feat by using mirrors to ignite a small wooden boat covered with tar, with only partial success — they found it too difficult to focus light from their hand-held mirrors onto a point small enough to ignite the boat.

The data is often found to contain considerable variability, or noise, and thus Hidden Markov model and change-point analysis methods are being developed to infer real copy number changes.

Computer controlled music is also found in the performance pieces by the Canadian composer Udo Kasemets such as the Marce ( ntennia ) l Circus C ( ag ) elebrating Duchamp ( 1987 ), a realization of the Marcel Duchamp process piece Erratum Musical using an electric model train to collect a hopper-car of stones to be deposited on a drum wired to an Analog: Digital converter, mapping the stone impacts to a score display ( performed in Toronto by pianist Gordon Monahan during the 1987 Duchamp Centennial ), or his installations and performance works ( e. g. Spectrascapes ) based on his Geo ( sono ) scope ( 1986 ) 15x4-channel computer-controlled audio mixer.

In addition the ERM allows entity type generalization ( the Is-a relationship ) and implied property ( attribute ) inheritance ( similarly to the that found in the object model ).

The Huygens – Fresnel principle is one such model ; it states that each point on a wavefront generates a secondary spherical wavelet, and that the disturbance at any subsequent point can be found by summing the contributions of the individual wavelets at that point.

An implication of model theory is that the properties defining a relation can be proved independent of each other ( and hence necessary parts of the definition ) if and only if, for each property, examples can be found of relations not satisfying the given property while satisfying all the other properties.

The Down's Syndrome Association say that the way in which Billy and Honey found out about their baby's condition and their subsequent support is not a best practice model, but is still a realistic situation.

As important as Crick's contributions to the discovery of the double helical DNA model were, he stated that without the chance to collaborate with Watson, he would not have found the structure by himself.

A similar model is found in the Homeric account of the 8th century BCE in which " Okeanos, the personified body of water surrounding the circular surface of the Earth, is the begetter of all life and possibly of all gods.

In 1994 he compared model results to observed temperatures and found that the predicted temperatures for 1950 – 1980 deviated from the temperatures that had actually occurred, from which he concluded in his regular column in The Washington Times — with the headline that day " Climate Claims Wither under the Luminous Lights of Science "— that climate models are faulty.

In 2007 he collaborated on a study that found tropospheric temperature trends of " Climate of the 20th Century " models differed from satellite observations by twice the model mean uncertainty.

The value of 13. 6 eV is called the Rydberg constant and can be found from the Bohr model, and is given by

Empirical problems with the H-O model, such as the Leontief paradox, were noted in empirical tests by Wassily Leontief who found that the United States tended to export labor-intensive goods despite having an abundance of capital.

* The hypothesis that beta amyloid protein is key to IBM has been supported in a mouse model using an Aβ vaccine that was found to be effective against inclusion body myositis in mouse models.

This model was said to be found in EU core countries such as Belgium, France, Germany, the Netherlands and Italy, and it is also mirrored and emulated to some extent in the institutions of the EU, due to the relative weight that these countries had in the EU until the EU expansion by the inclusion of 10 new Eastern European member states in 2004.

In 2003, a population model was released by the U. S. Geological Survey that predicted an extremely grave situation confronting the manatee in both the Southwest and Atlantic regions where the vast majority of manatees are found.

This was generally found to be a difficult model to reason about effectively.

Having already found the benefits of turbochargers on several race cars and the 1975 911 Turbo, Porsche chose to use this technology for the 924, eventually introducing the 924 Turbo as a 1978 model.

The 968's styling was an evolution on that of the outgoing 944, itself styled evolutionarily from the earlier 924, but elements were borrowed from the more expensive 928 model in an attempt to create a " family resemblance " between models, and the swooping headlamp design, inspired by those of the 959, previewed similar units found later on the Type 993 911.

Other fragments in the Buddhist scripture can be found that seem to treat polygamy unfavorably, leading some authors to conclude that Buddhism generally does not approve of it or alternatively that it is a tolerated, but subordinate marital model.

This model has found support in notable classical and neoclassical economists including Alfred Marshall, John Stuart Mill and Jaroslav Vanek.

An attempt to defend a system based on propositional meaning for semantic underspecification can be found in the generative lexicon model of James Pustejovsky, who extends contextual operations ( based on type shifting ) into the lexicon.