But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

It is often convenient to write this as an infinite product over all the primes, where all but a finite number have a zero exponent.

In 1931 Lemaître went further and suggested that the evident expansion of the universe, if projected back in time, meant that the further in the past the smaller the universe was, until at some finite time in the past all the mass of the Universe was concentrated into a single point, a " primeval atom " where and when the fabric of time and space came into existence.

* a finite set of production rules ( left-hand side right-hand side ) where each side consists of a sequence of these symbols

For example, intervals, where takes all integer values in Z, cover R but there is no finite subcover.

# is a finite relation from to, where the asterisk represents the Kleene star operation.

For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.

where a finite number of the n < sub > i </ sub > are positive integers, and the rest are zero.

* The order, or number of elements, of a finite field is of the form p < sup > n </ sup >, where p is a prime number called the characteristic of the field, and n is a positive integer.

In the case where V is of finite dimension n it is common to choose a basis for V and identify GL ( V ) with GL ( n, K ) the group of n-by-n invertible matrices on the field K.

This we can do because human language is based on a dual code, where a finite number of meaningless elements ( e. g. sounds, letters or gestures ) can be combined to form units of meaning ( words and sentences ).

So if L ( r ) is proportional to r < sup >− 2 </ sup >, then for to be finite, N ( r ) must be proportional to r < sup > b </ sup >, where b < 1.

The postmodern era is positioned to synthesize at a higher level — the level of experience, where the being of things and the activity of the finite knower compenetrate one another and provide the materials whence can be derived knowledge of nature and knowledge of culture in their full symbiosis — the achievements of the ancients and the moderns in a way that gives full credit to the preoccupations of both.

It is the inverse limit of the finite groups Z / p < sup > n </ sup > Z where n ranges over all natural numbers and the natural maps Z / p < sup > n </ sup > Z → Z / p < sup > m </ sup > Z ( n ≥ m ) are used for the limit process.

This group is the inverse limit of the finite groups Gal ( F / K ), where F ranges over all intermediate fields such that F / K is a finite Galois extension.

Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).

, where the intersection runs through all normal subgroups of finite index ).

* is a finite subset of, the < em > transition relation </ em >, where denote the set of strings over and denotes the empty string.

The open sets in the product topology are unions ( finite or infinite ) of sets of the form, where each U < sub > i </ sub > is open in X < sub > i </ sub > and U < sub > i </ sub > ≠ X < sub > i </ sub > only finitely many times.

Since Sprouts is a finite game where no draw is possible, a perfect strategy exists either for the first or the second player, depending on the number of initial spots.

A consequence of the theorem is that the order of any element a of a finite group ( i. e. the smallest positive integer number k with a < sup > k </ sup > = e, where e is the identity element of the group ) divides the order of that group, since the order of a is equal to the order of the cyclic subgroup generated by a.

* Resource leaks, where a finite system resource such as memory or file handles are exhausted by repeated allocation without release.

An infinite difference is a further generalization, where the finite sum above is replaced by an infinite series.