Another element to concern the choreographer is that of the visual devices of the theatre.

indeed, it is maintained that the sexual element in jazz, by freeing the listener of his inhibitions, can have therapeutic value.

The rocking, I realized, is the single element in the story that carries the erotic message, the unspoken and unconscious undercurrent that would mar the innocence of a child's fantasy and disturb the effects of the work if it were made explicit.

It is a matter of trying to sort out an earlier fourth-century Saxon element from the later, fifth-century mainstream of Anglo-Saxon invasions.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

The element is inserted in the discharge circuit in place of the exploding wire, and the calorimetric heating of the element is measured with high accuracy.

This is used as a reference for comparing the ohmic heating and the electrical energy obtained from the measured current through the element and the measured voltage across the element.

The Strategic Air Command is the principal element of our long-range nuclear capability.

Steinberg obviously has concluded that it is the lyric element which must dominate in this score, and he manages at times to create the effect of the whole orchestra bursting into song.

There is some indication from a limited number of interviews with members of the population that the element of power, primarily the voluntary influence of non-authoritative power, has been exerted on actors in the system, particularly in regard to mate selection.

Each cell except the last in the chain also contains the address of the Y-cell that is the next element of the chain ; ;

This element is often called `` strong hands ''.

A sixth element, not always considered, is intelligence.

Proponents of single elements tend to ensure predominance of that element without determining if it is justified, and the element with the most enthusiastic and vociferous proponents has assumed the greatest importance.

While one element is announcing progress, another is delineating its problems.

The advantages inherent in mine warfare justify as great an importance for this element as is accorded any of the other elements.

Of course, there is an element of training here: these gifted people, by concentration, study, guidance, have learned to develop their power.

the cinematic element of time is merely used to increase the realism of an object which would still be reasonably realistic in a still photo.

Science is fully competent to deal with any element of experience which arises from an object in space and time.

The notion of irreducible fraction generalizes to the field of fractions of any unique factorization domain: any element of such a field can be written as a fraction in which denominator and numerator are coprime, by dividing both by their greatest common divisor.

The irreducible fraction for a given element is unique up to multiplication of denominator and numerator by the same invertible element.

In any ring R, any prime element is irreducible.

** Unique factorization domain, an integral domain in which every non-zero element can be written as a product of irreducible elements in essentially a unique way

In mathematics, a unique factorization domain ( UFD ) is a commutative ring in which every non-unit element, with special exceptions, can be uniquely written as a product of prime elements ( or irreducible elements ), analogous to the fundamental theorem of arithmetic for the integers.

In abstract algebra, a non-zero non-unit element in an integral domain is said to be irreducible if it is not a product of two non-units.

) In an integral domain, every prime element is irreducible, but the converse is not true in general.

Moreover, while an ideal generated by a prime element is a prime ideal, it is not true in general that an ideal generated by an irreducible element is an irreducible ideal.

However, if is a GCD domain, and is an irreducible element of, then the ideal generated by is an irreducible ideal of.

If R is an integral domain, an element f of R which is neither zero nor a unit is called irreducible if there are no non-units g and h with f = gh.

One can show that every prime element is irreducible ; the converse is not true in general but holds in unique factorization domains.

* Spec k, the spectrum of the polynomial ring over a field k, which is also denoted, the affine line: the polynomial ring is known to be a principal ideal domain and the irreducible polynomials are the prime elements of k. If k is algebraically closed, for example the field of complex numbers, a non-constant polynomial is irreducible if and only if it is linear, of the form t − a, for some element a of k. So, the spectrum consists of one closed point for every element a of k and a generic point, corresponding to the zero ideal.

; Irreducible: An element x of an integral domain is irreducible if it is not a unit and for any elements a and b such that x = ab, either a or b is a unit.

Note that every prime element is irreducible, but not necessarily vice versa.

If such an intermediate extension does exist, and if: F is finite, then if S is defined as in the previous paragraph,: F < sub > sep </ sub >=: F =: K. One known proof of this result depends on the primitive element theorem, but there does exist a proof of this result independent of the primitive element theorem ( both proofs use the fact that if is a purely inseparable extension, and if f in F is a separable irreducible polynomial, then f remains irreducible in K ).

It may be thought unfortunate that he was called on entirely by accident to perform, if again we may trust the opening of the oratio, for it marks the beginning for us of his use of his peculiar form of witty word play that even in this Latin banter has in it the unmistakable element of viciousness and an almost sadistic delight in verbally tormenting an adversary.

The moment the sea closed over Nick, some atavistic sense warned him that he would survive in this alien element only if he did not panic.

The prefix " hydro -" is added only if the acid is made up of just hydrogen and one other element.

For example, the open interval ( 0, 1 ) does not have a least element: if x is in ( 0, 1 ), then so is x / 2, and x / 2 is always strictly smaller than x.

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

We say A is unital if it contains an element 1 such that

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, if the sorted list to which we apply binary search has n elements, and we can guarantee that each lookup of an element in the list can be done in unit time, then at most log < sub > 2 </ sub > n + 1 time units are needed to return an answer.

Otherwise, if the sought key is less than the middle element's key, then the algorithm repeats its action on the sub-array to the left of the middle element or, if the input key is greater, on the sub-array to the right.

A Banach algebra is called " unital " if it has an identity element for the multiplication whose norm is 1, and " commutative " if its multiplication is commutative.

Two sets A and B are defined to be equal when they have precisely the same elements, that is, if every element of A is an element of B and every element of B is an element of A.

Humanistic psychologists argue that even if the cabal behind the conspiracy is almost always perceived as hostile, there is often still an element of reassurance in it for conspiracy theorists.

According to IUPAC, chemical elements are not proper nouns in English ; consequently, the full name of an element is not routinely capitalized in English, even if derived from a proper noun, as in californium and einsteinium.