The objective function, which is to be maximized, is some function, usually piecewise continuous, of the product state.

* Entropic forces: According to the second law of thermodynamics, a system progresses to a state in which entropy is maximized.

The four points where these axes cross the ellipse are the vertices, points where its curvature is minimized or maximized.

For example, the statement " A society is free if and only if liberty is maximized and people are required to take responsibility for their actions " is true or paradoxical, depending on the individual's definition of liberty.

The growth rate is maximized where air is near a temperature of.

The entropy is maximized at 1 bit per trial when the two possible outcomes are equally probable, as in an unbiased coin toss.

) An important property of entropy is that it is maximized when all the messages in the message space are equiprobable ,— i. e., most unpredictable — in which case.

The challenge is selecting the appropriate mechanical seal arrangement and support system to ensure maximized seal life and its overall effectiveness.

Thus, flavor is maximized by storing a spice whole and grinding when needed.

In mountainous areas, heavy snow is possible where upslope flow is maximized within windward sides of the terrain at elevation, if the atmosphere is cold enough.

In Ethics ( 1912 ) Moore rejected a purely hedonistic utilitarianism and argued that there is a range of values that might be maximized.

One approach is to drop the demand that utility be maximized.

In The Methods of Ethics Henry Sidgwick asked “ is it total or average happiness that we seek to make a maximum ?” He noted that aspects of the question had been overlooked and answered the question himself by saying that what had to be maximized was the average multiplied by the number of people living.

The symmetric curve connecting two arbitrary apexes of the rotor is maximized in the direction of the inner housing shape with the constraint that it not touch the housing at any angle of rotation ( an arc is not a solution of this optimization problem ).

This continues until the correlation between the diffraction data and the model is maximized.

Information-integration tasks are ones where the accuracy is maximized when information from two sources are integrated at a pre-decisional stage, which follows a procedural-based system.

For many militaries, whose needs for maximized intra-organizational capability and capacity always strain existing systems, the additional cost and complexity of 3G is far more compelling.

`` Amen '', said the Reverend Doran, grabbing his rifle propped up against a tombstone, `` and now my brethren, it would seem that our presence is required elsewhere ''.

The presence of genuine mimesis in art is marked by the persistence with which the work demands attention and compels valuation even though it is but vaguely understood.

He had also learned to dispute extempore remarkably well, the main evidence for which of course is the presence of his name in the honors list of 1628/29.

Yet you feel the orchestra is near at hand, and the individual instruments have the same firm presence associated with listening from a good seat in an acoustically perfect hall.

The radius is calculated from the mass by assuming spheres of density Af except for the smallest particles, which must have a higher mass density to remain in the solar system in the presence of solar-radiation pressure.

It is characterized by the presence of incompletely developed secondary lobules ; ;

The possibility that the absence or presence of these shunts is species-dependent is therefore inferred.

In the presence of a low iodine intake, thyroglobulin labelled in vivo with Af is found to contain more mono-iodotyrosine than normal, the amounts of di-iodotyrosine and iodothyronines being correspondingly reduced.

-- Glycerinated muscle, in the presence of the physiological agent ( ATP ) responsible for delivering energy to the mechanochemically active proteins of muscle, has been shown to undergo a contraction which is highly sensitive both to temperature and to solvent composition in mixtures of alcohols and water.

One of the greatest problems associated with automatic leveling is establishing a true level in the presence of high-level acceleration noise.

But his is still a simple life relatively free of the female presence or influence, and he must go far, even though he may go fast, for sophisticated pleasures.

Their presence is not as frightening as the discontent which creates their opportunity.

the presence of other members of similar social and economic level is the sufficient condition.

How explicit such factors have been historically is evident in any chronology of restrictive covenant cases or in a review of NAREB's Code of Ethics Article 34 in the Code, adopted in 1924, states that `` a Realtor should never be instrumental in introducing into a neighborhood a character of property or occupancy, members of any race or nationality or any individuals whose presence will clearly be detrimental to property values in that neighborhood ''.

Now to him who is able to preserve you without sin and to set you before the presence of his glory, without blemish, in gladness, to the only God our Savior, through Jesus Christ our Lord, belong glory and majesty, dominion and authority, before all time, and now, and forever.

There is an extraordinary sense of presence in all of these recordings, apparently obtained at least in part by emphasizing the middle and high frequencies.

While both sexes state that kindness is the most preferable trait in a partner there is some evidence that men place less value on this than women and that women may not be more altruistic in presence of an attractive man.

Love confirms others in their freedom, shuns propaganda and masks, assures others of its presence, and is ultimately confirmed not by mere declarations from others, but by each person's experience and practice from within.

Arraignment is a formal reading of a criminal complaint in the presence of the defendant to inform the defendant of the charges against him or her.

One of the defining characteristics of the order is the presence of phytomelan, a black pigment present in the seed coat, creating a dark crust.

Synapomorphies ( a character that is shared by two or more groups through evolutionary development ) include the presence in the plants of oligosaccharide inulin, a nutrient storage molecule used instead of starch ; and unique stamen morphology.

The effectiveness of the technique is demonstrated to a group of VIPs, who watch as Alex collapses before a walloping bully, and abases himself before a scantily-clad young woman whose presence has aroused his predatory sexual inclinations.

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

Each mode is believed to have a specific attribute -- one inducing pleasure, another generosity, another love, and so on, to include all of the emotions.

Yet his concern even here is with a slowly changing socio-economic order in general, and he never deals with such specific aspects of this change as the urban and industrial impact.

The specific analogy to the dilemma of love is the problem of the `` breakthrough '' in the realm of art.

Let us not confuse the issue by labeling the objective or the method `` psychoanalytic '', for this is a well established term of art for the specific ideas and procedures initiated by Sigmund Freud and his followers for the study and treatment of disordered personalities.

The symposium provides an opportunity to confront the self with specific statements which were made at particular times by identifiable communicators who were addressing definite audiences -- and throughout several hundred pages everyone is talking about the same key symbol of identification.

Even in such technical curricula as engineering, the senior is much more likely than the freshman to choose, as an ideal, liberal education over specific vocational preparation.

There is impressive consistency between specific occupational preferences and the student's basic conception of what is for him a good way of life.

When their faith in civil liberties is tested against strong pressures of social expediency in specific issues, e.g., suppression of `` dangerous ideas '', many waver and give in.

But in ways more fundamental than specific political opinions they are still what they always were: passionate, sure without a shadow of doubt of whatever it is that they are sure of, capable of seeing black and white only and, therefore, committed to the logical extreme of whatever it is they are temporarily committed to.

One specific example is a secret `` fraternity '' which will `` coordinate anti-Communist efforts ''.

There is room for disagreement concerning some of Dr. Conant's specific views.

Among the specific areas of concentration in which the staff is engaged, are such projects as biological and biochemical studies of the effects of microwaves ; ;

Mr. Claude is a specialist in torso development and he has long favored the now-famous Weider Push-Pull Super-Set technique in which one exercise of the Super-Set is a pressing or `` pushing '' movement which accents one sector of a muscle group in a specific way, followed by a `` pulling '' exercise which works the opposing sector of the same muscle group.

A mathematical formula is nothing more than a pattern for solving a specific problem.

We divided the country into five regions plus Hawaii and Alaska and in each is included a general description of the area plus specific recommendations of places and events to cover.

Foliage is the outstanding photo subject in many of the Southern locales mentioned above and some specific tips on how and where to shoot it are in order.

It is for this reason that Roy avoids selecting subjects that require specific recognition of place for their enjoyment.

If no specific organization plan exists limiting the number of scientists at each salary level, the result is a department top-heavy with high-level, high-salaried personnel ''.

Quite naturally, there is a greater availability of those models which are manufactured within a specific country.

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

A solid immunity is the one effective circumstance whereby attack by a specific agent can be neutralized.