* A precisely specified behavior of the arithmetic operations: arithmetic operations were required to be correctly rounded, i. e. to give the same result as if infinitely precise arithmetic was used and then rounded.

) The double exponential complexity of the theory makes it infeasible to use the theorem provers on complicated formulas, but this behavior occurs only in the presence of nested quantifiers: Oppen and Nelson ( 1980 ) describe an automatic theorem prover which uses the simplex algorithm on an extended Presburger arithmetic without nested quantifiers.

* The Normal order of an arithmetic function, a type of asymptotic behavior useful in number theory.

Some programs ( especially those that use fixed-point arithmetic where no dedicated floating-point hardware is available ) will use behavior similar to the IEEE standard, using large positive and negative numbers to approximate infinities.

In two's complement arithmetic, attempts to divide the smallest signed integer by are attended by similar problems, and are handled with the same range of solutions, from explicit error conditions to undefined behavior.

For example, a different behavior for dealing with number overflows cannot be realized if the arithmetic operations are just delegated to the corresponding operations in the host language.

Marking all the descriptor caches in the GDT and LDTs " not present " would allow the operating system to trap segment register reloads as well as attempts at performing real-mode specific " segment arithmetic " and emulate the desired behavior by updating the segment descriptors ( LOADALL again ).

In the late 19th century, most of West, Central, and parts of East Europe began to provide elementary education in reading, writing, and arithmetic, partly because politicians believed that education was needed for orderly political behavior.

Together with the Takagi existence theorem, it is used to describe the abelian extensions of K in terms of arithmetic of K and to understand the behavior of the nonarchimedean places in them.

The environmental theory of the progression of OCPD proposes that, OCPD is not the outcome of some internal conflict, but instead it is a largely socially learned behavior that is the outcome from the replication and copying of significant others throughout the childhood stage.

) The mathematical denotation denoted by a closed system < tt > S </ tt > is constructed increasingly better approximations from an initial behavior called < tt >⊥< sub > S </ sub ></ tt > using a behavior approximating function < tt > progression < sub > S </ sub ></ tt > to construct a denotation ( meaning ) for < tt > S </ tt > as follows:

One possible explanation for this progression argues that children are socialized from childhood to conform to gender roles and during early adolescence cognitive developments promote active self-presentation and anxiety over peer-perceptions ; as a result, early adolescents become more consciously aware of both the benefits of conventional gender identity and the threat of ridicule or rejection in response to unorthodox behavior.

The mathematical denotation denoted by a closed system < tt > S </ tt > is constructed from an initial behavior < tt >⊥< sub > S </ sub ></ tt > and a behavior-approximating function < tt > progression < sub > S </ sub ></ tt >.

: The mathematical denotation denoted by a closed system < tt > S </ tt > is found by constructing increasingly better approximations from an initial behavior called < tt >⊥< sub > S </ sub ></ tt > using a behavior approximating function < tt > progression < sub > S </ sub ></ tt > to construct a denotation ( meaning ) for < tt > S </ tt > as follows:

They arise in situations in which one believes that what happens depends not only on the external world, but also on the precise pattern of behavior of the individual or group.

The behavior of EM radiation depends on its frequency.

The relationship between offered traffic and carried traffic depends on the design of the system and user behavior.

The behavior of a star now depends on its mass, with stars below 0. 23 solar masses becoming white dwarfs directly, while stars with up to ten solar masses pass through a red giant stage.

The magnetic behavior of a material depends on its structure, particularly its electron configuration, for the reasons mentioned above, and also on the temperature.

In the presence of side effects, a program's behavior depends on history ; that is, the order of evaluation matters.

The structure and behavior of volcanoes depends on a number of factors.

Heidegger focuses less on the way in which the structures of being are revealed in everyday behavior, and more on the way in which behavior itself depends on a prior " openness to being.

In case of distributed attack or IP header modification ( that depends on the kind of security behavior ) it will fully block the attacked network from Internet, but without system crash.

There are a variety of types of mastectomy in use, and the type that a patient decides to undergo ( or whether he or she will decide instead to have a lumpectomy ) depends on factors such as size, location, and behavior of the tumor ( if there is one ), whether or not the surgery is prophylactic, and whether or not the patient intends to undergo reconstructive surgery.

The magnetism of ferric compounds is mainly determined by these five electrons, and their behavior depends on the number and type of ligands attached to iron, as described by ligand field theory.

The path-goal model can be classified both as a contingency theory, as it depends on the circumstances, and as a transactional leadership theory, as the theory emphasizes the reciprocity behavior between the leader and the followers.

In the case of electrons, the behavior depends on temperature and context.

Computer systems or programs are often described as non-deterministic if their behavior depends on factors that cannot be predicted or reliably reproduced, such as the time of day or the speed at which the user enters data at the keyboard.

Human fertility depends on factors of nutrition, sexual behavior, culture, instinct, endocrinology, timing, economics, way of life, and emotions.

Proper explanation of optical trapping behavior depends upon the size of the trapped particle relative to the wavelength of light used to trap it.

Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation.

The nature and behavior of markets depends somewhat on their locations therefore market performance partly depends on geography.

The behavior of the system depends on the relative values of the two fundamental parameters, the natural frequency ω < sub > 0 </ sub > and the damping ratio ζ.

In particular, the qualitative behavior of the system depends crucially on whether the quadratic equation for γ has one real solution, two real solutions, or two complex conjugate solutions.

Whether a wolf-dog cross should be considered more dangerous than a dog depends on behavior specific to

Psychologist Kenneth Kaye showed that infants ' ability to match the sounds or gestures of an adult depends on an interactive process of turn-taking over many successive trials, in which adults ' instinctive behavior plays as great a role as that of the infant.

The detective, commenting on Barco's behavior, felt that he merely belonged among the myriad citizens of our community who are mentally unhinged -- that he was a more or less harmless `` nut ''!!

The behavior of a biological aerosol, on a much smaller scale, is illustrated by a specific field trial conducted with a non-pathogenic organism.

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.

The positive Kohnstamm reactivity in Condition 1 ( ( the naive state ) is not adequately explained by such a concept as suggestibility ( if suggestibility is defined as the influence on behavior by verbal cues ).

Final ratings were made on the basis of a point system which was developed after studying the distributions of actual behaviors recorded and assigning weight values to each type of behavior that was deviant from the discovered norms.

Eventually such incidents became more sporadic, and more sharply demarcated from her day-after-day behavior, and in one particular session, after several minutes of such behavior -- which, as usual, went on without any accompanying words from her -- she asked, eagerly, `` Did you see Granny ''??

I have found, time and again, that some bit of particularly annoying and intractable behavior on the part of a patient rests, in the final analysis, on this basis ; ;

This behavior on her part subsided only after I had come to see the uncomfortably close similarity between, on the one hand, her arranging the ventilation of the common living room to her own liking, or turning the television off or on without regard to the wishes of the others, and on the other hand, my own coming stolidly into her room despite her persistent and vociferous objections, bringing my big easy chair with me, usually shutting the windows of her room which she preferred to keep in a very cold state, and plunking myself down in my chair -- in short, behaving as if I owned her room.

His first conclusion, on behavior of individual items, is negative, whereas mine ( on Ath. and Yok. ) was partially positive.

However, the teacher who understands the influence of emotions on behavior may be highly influential in helping pupils gain confidence, security, and satisfaction.

In late childhood the influence of the group on the social behavior of the child continues to increase ; ;

But the nickname never stuck and Gehrig was no match for Ruth in `` color '' -- which is sometimes a polite word for delinquent behavior on and off the field.

On the other hand, some unwed mothers had had so much work and responsibility imposed on them at an early age, and had thus had so little freedom or opportunity to develop autonomy and initiative, that their work and responsibilities became dull and unrewarding burdens -- to be escaped and rebelled against through fun and experimentation with forbidden sexual behavior.

Every single instance of altruistic behavior need not always increase inclusive fitness ; altruistic behaviors would have been selected for if such behaviors on average increased inclusive fitness in the ancestral environment.

The HAM-A ( Hamilton Anxiety Scale ) measures the severity of a patient's anxiety, based on 14 parameters, including anxious mood, tension, fears, insomnia, somatic complaints and behavior at the interview.

This behavior was the same as on the BBC Micro.