Today the private detective will also investigate insurance claims or handle divorce cases, but his primary function remains what it has always been, to assist those who have money in their unending struggle with those who have not.

The rocking has the ambiguous function of keeping the erotic undercurrent silent and making it present ; ;

It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.

The responsibility for taking the initiative in generating ideas is that of every officer in the Department who has a policy function, regardless of rank.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.

In the second category the function Af has no values defined in a neighborhood Af.

The values Af are the ordinary values at Af of a multi-valued function g{t} which has components corresponding to those of f{t}.

We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

It might be pointed out that the integrating function of religion, for good or ill, has often supported or been identified with other groupings -- political, nationality, language, class, racial, sociability, even economic.

To a much less full extent, the hebephrenic person's belching or flatus has a comparable communicative function ; ;

Moreover, whereas in Interstate Commerce Commission parlance `` variable cost '' means a cost deemed to vary in direct proportion to changes in rate of output, in the type of analysis now under review `` variable cost '' has been used more broadly, so as to cover costs which, while a function of some one variable ( such as output of energy, or number of customers ), are not necessarily a linear function.

271 - 307 ) indicate, that the concept of function in sociology has been built up from physiological and biological models, in which the notions of teleology, i.e., metaphysical purpose, are central.

-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.

Since the removal force is a function of coating thickness, a differential transformer pickup has been incorporated into the instrument to accurately measure film thickness.

Even death, therefore, has a providential as well as a punitive function.

They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

: For any set A, the power set of A ( with the empty set removed ) has a choice function.

: Every set has a choice function.

The statement of the axiom of choice does not specify whether the collection of nonempty sets is finite or infinite, and thus implies that every finite collection of nonempty sets has a choice function.

In the even simpler case of a collection of one set, a choice function just corresponds to an element, so this instance of the axiom of choice says that every nonempty set has an element ; this holds trivially.

( 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.

") This method cannot, however, be used to show that every countable family of nonempty sets has a choice function, as is asserted by the axiom of countable choice.

Next to the old problem of the slowness of decision making, network structure seems to be paramount, and without monitoring no network has value.

An uncompromising belief in the moral law has the advantage of making religion natural, even as physical law is natural.

Cambodia's chief of state, who has been accused of harboring Communist marauders and otherwise making life miserable for neighboring South Viet Nam and Thailand, insists he would be very unhappy if communism established its power in Southeast Asia.

Certainly it isn't making the President happy, and he has been doing his apologetic best to explain how the budget got into its unbalanced condition, how he intends to economize wherever he can and how he hopes to do better next year.

By making inroads in the name of law enforcement into the protection which Congress has afforded to the marriage relationship, the Court today continues in the path charted by the recent decision in Wyatt v. United States, 362 U.S. 525, where the Court held that, under the circumstances of that case, a wife could be compelled to testify against her husband over her objection.

by making certain that no faculty member has too many committee assignments ; ;

Great thought has been given to making life easier for the growing boating population of the country ; ;

the marksman has some probability p, perhaps 0.1, of making a bull's-eye.

The consuming public has used up a good part of these liquid assets, or they have been drained by the rising price level, and we have apparently gotten to the end of the line in making consumer or home mortgage terms easier.

Plaster of Paris, once utilized in making impressions of teeth, has been replaced by alginates ( gelatin-like material ) that work quickly and accurately and with least discomfort to a child.

Of the two, Porter is justly the better known, for he went far beyond the vital finding of fiction for films to take the first step toward fashioning a language of film, toward making the motion picture the intricate, efficient time machine that it has remained since, even in the most inept hands.

But the tardiness of the administration in making the dedication has caused legislators to suspect the tax bill was related more directly to an over-all shortage of cash than to segregation.

Again, India has imposed formidable barriers against the entrance of additional missionaries, and fanatical Hindu parties are expected to seek further action against Christians once the influence making for tolerance due to Nehru and his followers is gone.

It has been a matter of eliminating the ambiguity by making oneself pure inwardness or pure externality, by escaping from the sensible world or being engulfed by it, by yielding to eternity or enclosing oneself in the pure moment .".

With a population of about 30 million, it has an area of, making it the 42nd most populous and 41st largest nation in the world.

From here, it can be argued that, to the extent amateurs threaten the professional industry by providing free services, the professional industry has an interest in making its counterpart amateur activity shameful.

The prose version has survived, but the Life is very much a hagiography: many of the stories it contains have obvious Biblical parallels, making them suspect as a historical record.

It has the thinnest soundbox and the smallest overall size of the major styles, making it very comfortable to play but also one of the quietest.

Due to mutual agreements with foreign clubs, the youth academy has also signed foreign players as teenagers before making first team debuts, such as Belgian defensive trio Jan Vertonghen, Toby Alderweireld and Thomas Vermaelen ( now with Arsenal ) and winger Tom de Mul ( now with Sevilla ), all of whom are full internationals as well as Dutch youth international Javier Martina and Vurnon Anita of the Netherlands Antilles.

Arcturus has a visual magnitude of − 0. 04, making it the brightest star north of the celestial equator, and the fourth brightest star in the night sky.

He has devoted his life to making the Talmud accessible to all Jews.

However, the city of Aveiro together with neighbouring Ílhavo, make one conurbation which has a population of 119, 258 inhabitants, making it one of the most important by population density in the Centro Region.

Research from the University of Botswana has found that the common practice of overstocking cattle to cope with drought losses actually depletes scarce biomass, making ecosystems more vulnerable.

A controversial figure, Thackeray has attracted significant attention by making statements expressing admiration for Hitler as an artist and demagogue, while condemning the Holocaust, inciting violence against Muslims, expressing support for the LTTE, and taking strong stances on the aspects of popular culture, including fervent opposition to the celebration of Valentine's Day.