Nevertheless, the theory that the determining influence of the hypothalamic balance has a profound influence on the clinical behavior of neuropsychiatric patients has not yet been tested on an adequate number of patients.

Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.

The exact number and placement of Endosymbiotic theory | endosymbiotic events is currently unknown, so this diagram can be taken only as a general guide It represents the most parsimonious way of explaining the three types of endosymbiotic origins of plastids.

They are a set of axioms strong enough to prove many important facts about number theory and they allowed Gödel to establish his famous second incompleteness theorem.

This is an example of renormalization in quantum field theory — the field theory being necessary because the number of particles changes from one to two and back again.

Wallace was one of the leading evolutionary thinkers of the 19th century and made a number of other contributions to the development of evolutionary theory besides being co-discoverer of natural selection.

Supporting literature includes: the work of social impact theory, which discusses persuasion in part through the number of persons engaging in influence ; as well as studies made on the relative influence of communicator credibility in different kinds of persuasion ; and examinations of the trustworthiness of the speaker.

It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory.

He is especially known for his foundational work in number theory and algebraic geometry.

He made substantial contributions in many areas, the most important being his discovery of profound connections between algebraic geometry and number theory.

Atle Selberg ( 14 June 1917 – 6 August 2007 ) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.

Sir Andrew John Wiles, KBE, FRS ( born 11 April 1953 ) is a British mathematician and a Royal Society Research Professor at Oxford University, specializing in number theory.

His construction of new cohomology theories has left deep consequences for algebraic number theory, algebraic topology, and representation theory.

Alexander Grothendieck's work during the ` Golden Age ' period at IHÉS established several unifying themes in algebraic geometry, number theory, topology, category theory and complex analysis.

In that setting one can use birational geometry, techniques from number theory, Galois theory and commutative algebra, and close analogues of the methods of algebraic topology, all in an integrated way.

* abc conjecture, a concept in number theory

On a more abstract level, model theoretic arguments hold that a given set of symbols in a theory can be mapped onto any number of sets of real-world objects — each set being a " model " of the theory — providing the interrelationships between the objects are the same.

For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.

During nighttime hours, because of the intense skywave propagation then prevailing, no large number of stations can be permitted to operate on one of these channels, if the wide area service for which these frequencies are assigned is to be rendered satisfactorily by the dominant stations which must be relied upon to render it.

Such additional daytime class 2, assignments are appropriate if optimum use is to be made of these frequencies, and the Commission has over the years made a large number of them.

But even if that other plant employs the same number of workers and makes the same product, there are other facts to consider.

However, whether you arrange to have a European or American model, if you rent a car with the proper seating capacity in relation to the number of people in your party, your transportation expense will average very close to $10.00 per day per passenger.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

Telephone orders distort the picture: the suburbanite naturally calls a local rather than a central-city number if both are listed in an advertisement, especially if the local call eliminates city sales tax.

We also see how the results may be presented, although if n, the number of state variables, is large any tabulation will become cumbersome.

A man does not make that kind of gamble if he suspects that one or more of the limited number of tenure positions is being reserved for members of the `` family ''.

The basic state grant is thirty cents for each person served, and there is a further book incentive grant that provides an extra twenty cents up to fifty cents per capita, if a library spends a certain number of dollars.

For we must number here not only the names of Bushnell, Clarke, and Rauschenbusch, not to mention those of `` the Chicago School '' and Macintosh, but those of the brothers Niebuhr and ( if America may claim him!!

Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

The number of degrees of freedom DF can be partitioned in a similar way: one of these components ( that for error ) specifies a chi-squared distribution which describes the associated sum of squares, while the same is true for " treatments " if there is no treatment effect.

Syllabaries typically contain 50 to 400 glyphs ( though the Múra-Pirahã language of Brazil would require only 24 if it did not denote tone, and Rotokas would require only 30 ), and the glyphs of logographic systems typically number from the many hundreds into the thousands.

" For some people, a program is only an algorithm if it stops eventually ; for others, a program is only an algorithm if it stops before a given number of calculation steps.

In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.

In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

An atom containing an equal number of protons and electrons is electrically neutral, otherwise it has a positive charge if there are fewer electrons ( electron deficiency ) or negative charge if there are more electrons ( electron excess ).

where is generally taken to be the duration of the time-history, or the number of points if is constant.

The length of the description is just the length of P as a character string, multiplied by the number of bits in a character ( e. g. 7 for ASCII ).

P can be estimated by using the measured speedup ( SU ) on a specific number of processors ( NP ) using

P estimated in this way can then be used in Amdahl's law to predict speedup for a different number of processors.

The standards produced are titled British Standard XXXX: YYYY where XXXX is the number of the standard, P is the number of the part of the standard ( where the standard is split into multiple parts ) and YYYY is the year in which the standard came into effect.

In large churches where they were celebrated the services were usually grouped ; e. g. Matins and Lauds ( about 7. 30 A. M .); Prime, Terce ( High Mass ), Sext, and None ( about 10 A. M .); Vespers and Compline ( 4 P. M .); and from four to eight hours ( depending on the amount of music and the number of high masses ) are thus spent in choir.

The coordinates of P are then X and Y interpreted as numbers x and y on the corresponding number lines.

The number of normalized floating point numbers in a system F ( B, P, L, U ) ( where B is the base of the system, P is the precision of the system to P numbers, L is the smallest exponent representable in the system, and U is the largest exponent used in the system ) is:

The inverse transform, known as Fourier series, is a representation of s < sub > P </ sub >( t ) in terms of a summation of a potentially infinite number of harmonically related sinusoids or complex exponential functions, each with an amplitude and phase specified by one of the coefficients:

The program faced a number of problems including the collapse of the fisheries and the shoddy construction of many of the buildings, particularly the infamous Blok P, and produced a number of problems of its own, including continuing unemployment and alcoholism.

If the cause of the crash is uncertain, this number is rendered as 48454C50, which stands for " HELP " in hexadecimal ASCII characters ( 48 = H, 45 = E, 4C = L, 50 = P ).

Consider a pseudo random number generator ( PRNG ) function P ( key ) that is uniform on the interval 2 < sup > b </ sup > − 1.

Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.

* The P (" plants ") count is the number of boxes the letterboxer has made and placed.

A membrane, or brane, is a multidimensional object, usually called a P-brane, with P referring to the number of dimensions in which it exists.

* NPT ensemble, a name for the isothermal – isobaric ensemble where the number of particles ( N ), pressure ( P ), and temperature ( T ) of the system are in equilibrium

Looney's theory attracted a number of activist followers who published books supplementing his own and added new arguments, most notably Percy Allen, Bernard M. Ward, Louis P. Bénézet and Charles Wisner Barrell.

A number a is a root of P if and only if the polynomial x − a ( of degree one in x ) divides P. It may happen that x − a divides P more than once: if ( x − a )< sup > 2 </ sup > divides P then a is called a multiple root of P, and otherwise a is called a simple root of P. If P is a nonzero polynomial, there is a highest power m such that ( x − a )< sup > m </ sup > divides P, which is called the multiplicity of the root a in P. When P is the zero polynomial, the corresponding polynomial equation is trivial, and this case is usually excluded when considering roots: with the above definitions every number would be a root of the zero polynomial, with undefined ( or infinite ) multiplicity.