Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

The fertility rate pattern would seem to be a function, though a latent one, of the process of maintaining the boundary.

For a statement of costs per kilowatt-hour would ignore the fact that many of these costs are not a function of kilowatt-hour output ( or consumption ) of energy.

The committee debated the possibility of a shift key function ( like the Baudot code ), which would allow more than 64 codes to be represented by six bits.

( A formal proof for all finite sets would use the principle of mathematical induction to prove " for every natural number k, every family of k nonempty sets has a choice function.

Sometimes it was necessary to re-think the structure of the problem so that the computer would function satisfactorily.

Its function is to control the expulsion of feces, unwanted semi-solid matter produced during digestion, which, depending on the type of animal, may be one or more of: matter which the animal cannot digest, such as bones ; food material after all the nutrients have been extracted, for example cellulose or lignin ; ingested matter which would be toxic if it remained in the digestive tract ; and dead or excess gut bacteria and other endosymbionts.

An example of such a function would be

This would correspond to the mathematical notion of the support of a function ( i. e., the total " length " of values for which the function is nonzero ).

In addition, if all human hemoglobin were free in the plasma rather than being contained in RBCs, the circulatory fluid would be too viscous for the cardiovascular system to function effectively.

Equally important is to determine whether no such assignments exist, which would imply that the function expressed by the formula is identically FALSE for all possible variable assignments.

In this latter case, we would say that the function is unsatisfiable ; otherwise it is satisfiable.

Regarding the primary function of conscious processing, a recurring idea in recent theories is that phenomenal states somehow integrate neural activities and information-processing that would otherwise be independent.

An adherent of the subjective view, that the wave function represents nothing but knowledge, would take an equally subjective view of " collapse ".

When not celebrating Mass but still serving a liturgical function, such as the semiannual Urbi et Orbi papal blessing, some Papal Masses and some events at Ecumenical Councils, cardinal deacons can be recognized by the dalmatics they would don with the simple white mitre ( so called mitra simplex ).

Whether or not a certain cycloaddition would proceed depends on the electronic orbitals of the participating species, as only orbitals with the same sign of wave function will overlap and interact constructively to form new bonds.

That is, while an evaluation of the first function might be represented as, evaluation of the curried function would be represented as, applying each argument in turn to a single-argument function returned by the previous invocation.

: Turing's thesis: " Turing's thesis that every function which would naturally be regarded as computable is computable under his definition, i. e. by one of his machines, is equivalent to Church's thesis by Theorem XXX.

Augustin-Louis Cauchy exploited such a density function in 1827 with an infinitesimal scale parameter, defining what would now be called a Dirac delta function.

g ( x, y ) is the graph of the function g. A sketch of the graph of such a function or relation would consist of all the salient parts of the function or relation which would include its relative extrema, its concavity and points of inflection, any points of discontinuity and its end behavior.

The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions.

The Bernoulli numbers appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in formulas for the sum of powers of the first positive integers, in the Euler – Maclaurin formula, and in expressions for certain values of the Riemann zeta function.

Chloroplasts appear to be able to exchange proteins via stromules, and thus function as a network.

Interpretations of crannog function are not static through time ; instead they appear to change in both the archaeological and historic records.

Most traffic lights in Cairo appear not to function, but rather intersections are staffed by policemen who use subtle finger movements to indicate which cars may move.

However, the latter chip was necessary in order to provide the FERR signal to the mainboard and appear to function as a normal floating point unit.

Beginning in the nineteenth century, more sophisticated notions of integrals began to appear, where the type of the function as well as the domain over which the integration is performed has been generalised.

* Free morphemes can function independently as words ( e. g. town, dog ) and can appear with other lexemes ( e. g. town hall, doghouse ).

" The piece function can also appear as an assignment ( SET command ) target.

An explanation of this is that although the logarithm of the lognormal density function is quadratic in, yielding a " bowed " shape in a log-log plot, if the quadratic term is small relative to the linear term then the result can appear almost linear.

While they may appear to have a far more important part to play, or, perhaps, an important future role, being the unit of account for the IMF has long been the main function of the SDR.

Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.

A variety of common and stable tertiary structures appear in a large number of proteins that are unrelated in both function and evolution-for example, many proteins are shaped like a TIM barrel, named for the enzyme triosephosphateisomerase.

Some introns appear to have significant biological function, possibly through ribozyme functionality that may regulate tRNA and rRNA activity as well as protein-coding gene expression, evident in hosts that have become dependent on such introns over long periods of time ; for example, the trnL-intron is found in all green plants and appears to have been vertically inherited for several billions of years, including more than a billion years within chloroplasts and an additional 2 – 3 billion years prior in the cyanobacterial ancestors of chloroplasts.

These frequency measurements can be easily taken, and thus the losses which appear as the voltage across the load resistor in the circuit are a periodic function of the applied magnetic flux with a period of Φ < sub > 0 </ sub >.

Symptoms of MS usually appear in episodic acute periods of worsening ( called relapses, exacerbations, bouts, attacks, or " flare-ups "), in a gradually progressive deterioration of neurologic function, or in a combination of both.

However, they often lack a basilar papilla, having instead an entirely separate set of sensory cells at the upper edge of the saccule, referred to as the papilla amphibiorum, which appear to have the same function.

Closures typically appear in languages in which functions are first-class values — in other words, such languages allow functions to be passed as arguments, returned from function calls, bound to variable names, etc., just like simpler types such as strings and integers.

Simek rejects notions of a " vegetation cult " venerating Sif, says that Sif does not appear to have a function, dismisses theories proposing connections between Sif's hair and grain as " over-zealous interpretation ", and theorizes that Snorri invented the story of Sif's shorn locks in attempt to explain the attributes of various gods.

Diane de Poitiers, another favorite of the previous king, was also asked to not appear at the court ; her protege, Jean Bertrand, had to surrender his title, Keeper of the Seals of France, to the chancellor François Olivier that Diane removed from this function a few years earlier.

" Simek says that the majority of the names of the valkyries point to a warlike function, that most of their names do not appear to be very old, and that the names " mostly come from poetic creativity rather than from real folk-belief.

The advantage of using a ROM in this way is that any conceivable function of the m inputs can be made to appear at any of the n outputs, making this the most general-purpose combinational logic device available.

Since the ordinary notion of consistency involves that of contradiction, which again involves negation, and since this function does not appear in general as a primitive in generalized set of postulates a new definition must be given ".