This program is based on the policy of designing and building efficient machines which will help produce better textile values -- fabrics whose cost in relation to quality, fashion and utility provide the consumer with better textile products for the money.

Have you studied the caliber and sales approaches of your sales force in relation to requirements for effective marketing??

A parallel function for philosophy is the study of the relation between perceptions experientially received and conceptions logically formed.

that is, by being placed in such relation to the forms depicted within the illusion that these forms left no room for the typography except near the surface.

All too often its conception of parish ministry and pastoral care includes no responsibility for them in their relation to issues of the most desperate urgency for the life of mankind.

( 2 ) Realtors realize, of course, that they are involved in an increasingly complex legal and political system that is opening up opportunities for leverage on their relation to clients as well as opportunities for evasion of their responsibility for racial discrimination in housing.

In law, it is generally meant to state specifically and in detail what one did and for what reason, often in relation to commission of a crime.

Among the scripts in modern use, the Hebrew alphabet bears the closest relation to the Imperial Aramaic script of the 5th century BCE, with an identical letter inventory and, for the most part, nearly identical letter shapes.

In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X

The usual order relation ≤ on the real numbers is antisymmetric: if for two real numbers x and y both inequalities x ≤ y and y ≤ x hold then x and y must be equal.

Labels such as ‘ semi-Arian ’ or ‘ neo-Arian ’ are misleading, for those labelled so would have disavowed the importance of their relation to Arius.

The age limit, the same as that for office holders but ten years older than that required for participation in the assembly, gave the courts a certain standing in relation to the assembly ; for the Athenians of the court were not only older, but were wiser, too.

Atle Selberg ( 14 June 1917 – 6 August 2007 ) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.

Chinese astrology has a close relation with Chinese philosophy ( theory of the three harmonies: heaven, earth and man ) and uses concepts such as yin and yang, the Five phases, the 10 Celestial stems, the 12 Earthly Branches, and shichen ( 時辰 a form of timekeeping used for religious purposes ).

The Minḥat Ḳenaot is instructive reading for the historian because it throws much light upon the deeper problems which agitated Judaism, the question of the relation of religion to the philosophy of the age, which neither the zeal of the fanatic nor the bold attitude of the liberal-minded could solve in any fixed dogmatic form or by any anathema, as the independent spirit of the congregations refused to accord to the rabbis the power possessed by the Church of dictating to the people what they should believe or respect.

The constancy of a '/ a necessary for this relation to hold was pointed out by R. H. Bow ( Brit.

The close relationship of alternative algebras and composition algebras was given by Guy Roos in 2008: He shows ( page 162 ) the relation for an algebra A with unit element e and an involutive anti-automorphism such that a + a * and aa * are on the line spanned by e for all a in A.

Solving for U, the following relation is found:

Acknowledging the lack of progress in relation to bilateral relations and the internal situation following the position adopted in 1997, the EU adopted a step-by-step approach in 1999, whereby sanctions would be gradually lifted upon fulfillment of the four benchmarks set by the Organization for Security and Co-operation in Europe.

That influence was based on his relation with the assembly, a relation that in the first instance lay simply in the right of any citizen to stand and speak before the people.

The term is also commonly used as a pejorative to criticize the use of clever but unsound reasoning ( alleging implicitly the inconsistent — or outright specious — misapplication of rule to instance ), especially in relation to moral questions ( see sophistry ).

For instance, the equivalence relation ~ generated by:

Since biconditionality is an equivalence relation, any instance of ¬¬ A in a well-formed formula can be replaced by A, leaving unchanged the truth-value of the well-formed formula.

Usually in the relational model a database schema is said to consist of a set of relation names, the headers that are associated with these names and the constraints that should hold for every instance of the database schema.

A natural sign bears a causal relation to its object — for instance, thunder is a sign of storm.

In relation to English, for instance, Halliday has described systems such as mood, agency, theme, etc.

In one instance, Isis heals Horus from a lethal scorpion sting ; she also performs other miracles in relation to the cippi, or the plaques of Horus.

In micro-and nanoapplications, for instance in relation to semiconductors, a typical magnitude of an electric field is in the order of 1 volt / µm achieved by applying a voltage of the order of 1 volt between conductors spaced 1 µm apart.

For instance, if m is odd then n − m is also odd, and if m is even, then n − m is even, a non-trivial relation because ( besides 2 ) only odd numbers can be prime.

In older French references ( as for instance in relation to the naval battles on the Danube between the Turks and the German Empire in the 17th and 18th centuries ), it is often referred to as the Tibisque.

It is unknown whether or not the promoter or Glass Harp's then-management directed that the statement be placed in the advertisement, but it is believed to be the first instance of any rumor regarding Hendrix in relation to Keaggy / Glass Harp

It also happens that in some scene graphs, a node can have a relation to any node including itself, or at least an extension that refers to another node ( for instance Pixar's PhotoRealistic RenderMan because of its usage of Reyes rendering algorithm, or Adobe Systems's Acrobat 3D for advanced interactive manipulation ).

However, this relation does not hold in the general case: if, for instance, a constant, unidirectional acceleration is reversed after ( t < sub > 1 </ sub > − t < sub > 0 </ sub >)/ 2 then the velocity difference is t < sub > 1 </ sub > − t < sub > 0 </ sub > = 0, but delta-v is the same as for the non-reversed thrust.

For instance " was born before or has the same first name as " is not generally a transitive relation.

A more general approach to reification is to create an explicit new class and n new properties to represent an n-ary relation, making an instance of the relation linking the n individuals an instance of this class.

This approach can also be used to represent provenance information and other properties for an individual relation instance.

That might have practical implications, particularly, for instance, in relation to the Child Benefit Agency and to the drawing of child benefit which would have been drawn by one spouse alone.

In spherically symmetric systems the integrals of functions, for instance, are one-dimensional because all variables in the calculation depend only on the radial parameter of the dispersion relation.

We just saw that the feed on relation is not transitive, but it still contains some transitivity: for instance: humans feed on rabbits, rabbits feed on carrots, and humans also feed on carrots.

Whether considered alone or in relation to other editions, COLH 40 is a document of prime importance.

An example is the " divides " relation between the set of prime numbers P and the set of integers Z, in which every prime p is associated with every integer z that is a multiple of p ( and not with any integer that is not a multiple of p ).

The unmoved movers inspiring the planetary spheres are no different in kind from the prime mover, they merely suffer a dependency of relation to the prime mover.

Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.

Speaking of prime minister Tony Blair's criticism of the mass media at the time he left office, Paxman asserted that often press and broadcasting may be " oppositional " in relation to the government of the day this could only benefit democracy.

# The significance of axioms in geometry and the necessity for the mathematician to rely upon philosophy and hence the importance of the relation of any particular science to prime philosophy.

The early reciprocity laws found in the 19th century were usually expressed in terms of a power residue symbol ( p / q ) generalizing the quadratic reciprocity symbol, that describes when a prime number is an nth power residue modulo another prime, and gave a relation between ( p / q ) and ( q / p ).

For practical reasons, the Cabinet is informally referred to either in relation to the prime minister in charge of it or, more formally, the number of ministries since Confederation.

The divisibility relation among the P-smooth numbers, natural numbers whose prime factors all belong to the finite set P, gives these numbers the structure of a partially ordered set isomorphic to.

Recently the relation between the two Maoist leaders became public, when Prachanda blamed India for supporting Bhattarai as future prime minister, and for trying to use him to create a struggle inside the party.

The AKS primality test is based upon the following theorem: An integer n (≥ 2 ) is prime if and only if the polynomial congruence relation

for some polynomials f and g. This congruence can be checked in polynomial time with respect to the number of digits in n, because it is provable that r needs be logarithmic with respect to n. Note that all primes satisfy this relation ( choosing g = 0 in ( 3 ) gives ( 1 ), which holds for n prime ).

These revised stories can generally be distinguished by Mulliner identifying the prime character of the story as a " distant cousin " ( or some other far-flung relation ) whose surname is not Mulliner.

As one reviewer noted in relation to the album, " If you subscribe to the theory that the ' 60s actually survived a couple of years into the 1970s, then this is a prime slice of 1960s garage punk.

Even if for some relation y ( x ) is not smooth, it may be possible to merge two of these partial relations to form a full one, if the two y's are products of the same prime ( s ) outside the factor base.

His fixation upon the criminal Metcalf, and later, his superior officer, Margaret Thatcher, ( no relation to the British prime minister ), was unreasonable, and he may have used his attraction to an unavailable woman as a mechanism for avoiding change in his own life.

Covering systems can be used to find primefree sequences, sequences of integers satisfying the same recurrence relation as the Fibonacci numbers, such that consecutive numbers in the sequence are relatively prime but all numbers in the sequence are composite numbers.

Later, Jung Bahadur established official Rolls of Succession that ranked all his descendants in relation to their hereditary rights to the office of prime minister.