While sovereignty has roots in antiquity, in its present usage it is essentially modern.

Professionally a lawyer, that is to say associated with dignity, reserve, discipline, with much that is essentially middle-class, he is compelled by an impossible love to exhibit himself dressed up, disguised -- that is, paradoxically, revealed -- as a child, and, worse, as a whore masquerading as a child.

The Connally amendment says that the United States, rather than the court, shall determine whether a matter is essentially within the domestic jurisdiction of the United States in a case before the World Court to which the United States is a party.

It is not essentially different from a memorandum of an attorney in the Department of Justice, of which the Attorney General receives many, and to which he may give his approval or rejection.

Roy Mason is essentially a landscape painter whose style and direction has a kinship with the English watercolorists of the early nineteenth century, especially the beautifully patterned art of John Sell Cotman.

The direct evidence on the micrometeorite environment near the Earth is obtained from piezoelectric sensors ( essentially microphones ) and from wire gages ; ;

There is some reason to think that thyroglobulin synthesis may proceed independently of iodination, for in certain transplantable tumours of the rat thyroid containing essentially no iodinated thyroglobulin, a protein that appears to be thyroglobulin has been observed in ultracentrifuge experiments ( Wolff, Robbins and Rall, 1959 ).

From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.

For internal political reasons, the union asks for ( and accepts ) increases in the basic wage rate, and would vigorously oppose a reduction in this rate, but the adjustment of the basic wage rate upwards is essentially up to the discretion of the companies of the industry.

Here the problem is essentially one of defining the word `` filling ''.

It is absurd to speak of philosophy as a superior enterprise to sociology, since the former is a logical, rational discipline, where sociology is essentially descriptive and empirical.

In addition to the incompleteness of science and the completeness of metaphysics, they differ in that science is essentially descriptive, while philosophy in its inherited forms, tends to be goal-oriented, teleological and prescriptive.

It is as follows: `` The usual sensitivity tests showed that the specific qualities of skin-perceptiveness ( pressure, pain, temperature ), as well as the kinesthetic sensations ( muscular feelings, feelings in the tendons and joints ), were, as such, essentially intact, although they seemed, in comparison with normal reactions, to be somewhat diminished over the entire body.

If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.

the `` sober opinion '' of his letter to Noyes, written when Hardy was eighty years old, is essentially that of his first `` philosophical '' notebook entry, made when he was twenty-five: `` The world does not despise us: it only neglects us '' ( Early Life, p. 63 ).

The index is essentially a new treatment of previously compiled morphological data.

The instrument is shown in Fig. 1 and consists essentially of a hard, sharp, tungsten carbide knife which is pushed along the substrate to remove the coating.

It is an understandable paradox that most American history and most American literature is today written from an essentially egocentric and isolationistic point of view at the very time America is spreading her dominion over palm and pine.

Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.

The content is not the same, however: rather than individual security, it is the security and continuing existence of an `` ideological group '' -- those in the `` free world '' -- that is basic.

Unconcerned with the practical function of his actions, the dancer is engrossed exclusively in their `` motional content ''.

How literature does this, or for whom, is certainly not clear, but the content, form, and language of the `` message '', as well as the source, would all play differentiated parts in giving and molding a sense of purpose.

It is true that this distinction between style and idea often approaches the arbitrary since in the end we must admit that style and content frequently influence or interpenetrate one another and sometimes appear as expressions of the same insight.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Unless you want to make your wife a pool widow and to spend a great many of your leisure hours nursing your pool's pristine purity, its care and feeding -- from pH content to filtering and vacuuming -- is best left to a weekly or bi-monthly professional service.

For all meteorites, the average nickel content is about 2.5 per cent.

This is much higher than the nickel content of terrestrial dusts and sediments and provides a basis for the determination of the meteoritic mass influx.

It is a commonplace that to the degree these special preserves of past philosophic hunting grounds establish an empirical content and suitable methodological criteria, they move away from philosophy as such.

Libyan Desert silica-glass, another natural glass, is composed of nearly pure silica and has the same trace germanium content as sands in the area.

In another approach to the same procedure, the content of the readings is analyzed so as to see how the particular medium is likely to slant her statements.

If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.

`` If you substitute ' atom ' for ' angel ', the problem is not insoluble, given the metallic content of the pin in question ''.

A general testing is done on the soil content first.

Because of the alcohol content, it is possible to fail a breathalyzer test after rinsing although breath alcohol levels return to normal after 10 minutes.

Steel is a metal alloy whose major component is iron, with carbon content between 0. 02 % and 2. 14 % by mass.

For example, the term is used to describe systems such as verlan and louchébem, which retain French syntax and apply transformations only to individual words ( and often only to a certain subset of words, such as nouns, or semantic content words ).

Yellow-hair chicken is valued for its flavor, but needs to be cooked properly to be tender due to its lower fat and higher muscle content.

Establishing the truth or falsehood of the continuum hypothesis is the first of Hilbert's 23 problems presented in the year 1900.

There is, however, room to doubt whether Hilbert's own views were simplistically formalist in this sense.

* Hilbert's paradox of the Grand Hotel, a meditation on strange properties of the infinite, is often used in popular accounts of infinite cardinal numbers.

The is related to Hilbert's tenth problem, which asks for an algorithm to decide whether Diophantine equations have a solution.

In mathematics, specifically commutative algebra, Hilbert's basis theorem states that every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated.

Hilbert's example: " the assertion that either there are only finitely many prime numbers or there are infinitely many " ( quoted in Davis 2000: 97 ); and Brouwer's: " Every mathematical species is either finite or infinite.

Work on Hilbert's 10th problem led in the late twentieth century to the construction of specific Diophantine equations for which it is undecidable whether they have a solution, or even if they do, whether they have a finite or infinite number of solutions.

In 1900, David Hilbert posed an influential question about transcendental numbers, Hilbert's seventh problem: If a is an algebraic number, that is not zero or one, and b is an irrational algebraic number, is a < sup > b </ sup > necessarily transcendental?

While he is best known for the Kolmogorov – Arnold – Moser theorem regarding the stability of integrable Hamiltonian systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory, including posing the ADE classification problem, since his first main result — the partial solution of Hilbert's thirteenth problem in 1957 at the age of 19.

Hilbert's paradox of the Grand Hotel is a mathematical veridical paradox ( a non-contradictory speculation that is strongly counter-intuitive ) about infinite sets presented by German mathematician David Hilbert ( 1862 – 1943 ).

However, in Hilbert's aptly named Grand Hotel, the quantity of odd-numbered rooms is no smaller than total " number " of rooms.

Hilbert's goals of creating a system of mathematics that is both complete and consistent were dealt a fatal blow by the second of Gödel's incompleteness theorems, which states that sufficiently expressive consistent axiom systems can never prove their own consistency.

Hilbert's geometry is mathematical, because it talks about abstract points, but in Field's theory, these points are the concrete points of physical space, so no special mathematical objects at all are needed.

This fact follows from the famous Hilbert's basis theorem named after mathematician David Hilbert ; the theorem asserts that if R is any Noetherian ring ( such as, for instance, ), R is also a Noetherian ring.

By induction, Hilbert's basis theorem establishes that, the ring of all polynomials in n variables with coefficients in, is a Noetherian ring.

The two results are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible, giving a negative answer to Hilbert's second problem.

Not all mathematicians agree with this analysis, however, and the status of Hilbert's second problem is not yet decided ( see " Modern viewpoints on the status of the problem ").

In Hilbert's axiomatization of geometry this statement is given as a theorem, but only after much groundwork.

While Hilbert's tenth problem is not a formal mathematical statement as such the nearly universal acceptance of the ( philosophical ) identification of a decision algorithm with a total computable predicate allows us to use the MRDP theorem to conclude the tenth problem is unsolvable.