( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.

For one thing, there is a natural belt of rock across the river bed ; ;

In addition, they have been converted to Zen Buddhism, with its glorification of all that is `` natural '' and mysteriously alive, the sense that everything in the world is flowing.

But the natural condition for the heavenly bodies is neither rest, nor rectilinear motion.

The natural and primary aesthetic attitude is to enjoy contemporary art, to despise and dislike the art of the recent past, and wholly to ignore everything else ''.

His father was a professor at Hartford Theological Seminary, and from him he acquired a conviction, which he passed along to me, that there is in the universe of persons a moral law, the law of love, which is a natural law in the same sense as is the physical law.

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

This truth that the moral law is natural has other important corollaries.

And the entirety of the natural world is party to the action.

Hence the natural setting of tragedy is the palace gate, the public square, or the court chamber.

But preservation of the natural beauty of the Cape is of more than regional concern, for the automobile age has made it the recreation spot of people from all over the country.

Public sentiment for conserving our rich natural heritage is growing.

He won't submit to his natural desires all the time, and it's Mother's love that is responsible for his good behavior.

I once heard a comedian say that if you are killed by a taxicab in New York, it is listed as `` death due to natural causes ''.

Each one of these is, by its nature, a focal point or a point of natural congestion.

When one powerful nation strives to emulate the success of another, it is only natural.

The impression was unmistakable that, whatever one may choose to call it, natural law is a functioning generality with a certain objective existence.

This cooling does not change the avocado in any way, it just delays the natural softening of the fruit until a grovelike temperature ( room temperature ) is restored.

The effect of the recording is very open and natural, with the frequency emphasis exactly what you would expect from a live performance.

The spectacular upsurge in pleasure boating is markedly evident, expectedly, in the areas where boats have always been found: the natural lakes, rivers, and along the nation's coastline.

A tour of several of them is possible in a two-week vacation while a stay at just one of these natural beauty spots can be of equal reward.

The American-Negro Suite is in a sense an extension of the Cotton Club songs in that it is a collection of Negro songs, not for a night club, but for the concert stage.

You should make any request for an extension early so that if it is refused, your return may still be on time.

An extension of 2 months beyond the regular due date for filing is also available to taxpayers making returns for a fiscal year.

Such interest must be paid even though an extension of time for filing is granted.

( To avoid any possible excuse for a dripping parade through your house, it is a good idea to have a telephone extension near the pool as well as a direct outdoor route between the pool, and the parking area.

The observational data determining the concentration distribution have a range of error which is magnified in the extension into the micrometeorite region.

The other misconception is that our ecumenical problems will be solved if only the knowledge of the church in its world-wide extension and its interdenominational connections, now comprehended by many national leaders, can be communicated to all congregations.

In general, friendly contact with a member followed by contact with a clergyman will account for a major share of recruitment by the churches, making it quite evident that the extension of economic integration through co-optation is the principal form of mission in the contemporary church ; ;

`` The important thing from now on '', he said, `` is not to mourn the past but to seize the future opportunity to prevent the loss in northern Viet Nam from leading to the extension of Communism throughout Southeast Asia ''.

The " tail " is only possessed by the male and is an extension of the cloaca and used to inseminate the female.

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

In the case of a Galois extension L / K the subgroup of all automorphisms of L fixing K pointwise is called the Galois group of the extension.

An extension of this is the sacred cockfight, ” a popular form of fertility worship among almost all Southeast Asians ” considered by some in the Judeo-Christian ethic as a form of ’ fertility worship ’ or Baalim.

The more humid regions have a richer vegetation ; dense forest where the rainfall is greatest and variations of temperature least, conditions found chiefly on the tropical coasts, and in the west African equatorial basin with its extension towards the upper Nile ; and savanna interspersed with trees on the greater part of the plateaus, passing as the desert regions are approached into a scrub vegetation consisting of thorny acacias, etc.

Also from there is the word bung, from the Sydney pidgin English ( and ultimately from the Sydney Aboriginal language ), meaning " dead ", with some extension to " broken " or " useless ".

In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K, i. e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions that are not algebraic, i. e. which contain transcendental elements, are called transcendental.

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

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

The equation is used for the mathematical process of solving the problem.

However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order.

We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.

It has become painfully clear that the very attempt to make the language of social research free of values by erecting mathematical and physical models, is itself a conditioned response to a world which pays a premium price for technological manipulation.

A mathematical block diagram for the leveling system is shown in Fig. 7-2.

So, too, is the mathematical competence of a college graduate who has majored in mathematics.

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

it is also their mathematical mean, since it is equal to half the sum of every opposing pair, all of which equal 10.

With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

The working principle of a yupana is unknown, but in 2001 an explanation of the mathematical basis of these instruments was proposed by Italian mathematician Nicolino De Pasquale.

The abacus teaches mathematical skills that can never be replaced with talking calculators and is an important learning tool for blind students.

One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.

The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.

In mathematical notation, this is:

An atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom.

Acoustic theory is the field relating to mathematical description of sound waves.

The mathematical equation for an ideal gas undergoing a reversible ( i. e., no entropy generation ) adiabatic process is