The area may also be provided with additional data during the running of the object program by means of EDMOV or move macro-instructions.

Merchant has found that the same basic relationships which describe the geometry and force systems in the case of the cutting mechanism can also be applied to the discontinuous chip formation provided the proper values of instantaneous shear angle and instantaneous chip thickness or cross-sectional area are used.

The royal ritual generated power into the other world: it also provided the living with a way to control the spirits, and bring their powers directly to bear on the everyday affairs of the world.

The Morrill Land-Grant Colleges Act, also signed in 1862, provided government grants for agricultural colleges in each state.

The President is also provided a variety of powers, like defining the policy of the country.

Not only was his Belgian nationality interesting because of Belgium's occupation by Germany ( which provided a valid explanation of why such a skilled detective would be out of work and available to solve mysteries at an English country house ), but also at the time of Christie's writing, it was considered patriotic to express sympathy with the Belgians, since the invasion of their country had constituted Britain's casus belli for entering World War I, and British wartime propaganda emphasized the " Rape of Belgium ".

The train provided a great service to Achill, but it also fulfilled an ancient prophecy.

As far as atoms and their electron shells were concerned, not only did this yield a better overall description, i. e. the atomic orbital model, but it also provided a new theoretical basis for chemistry

Ampère also provided a physical understanding of the electromagnetic relationship, theorizing the existence of an “ electrodynamic molecule ” ( the forerunner of the idea of the electron ) that served as the component element of both electricity and magnetism.

The second provided amnesty for all insurgents except those holding property valued at $ 20, 000 or more ; it also appointed a provisional governor for North Carolina and authorized elections.

The same number also works for Smart Telecom lines provided by local-loop unbundling.

PAP also provided for out-of-band status queries, handled by separate ATP transactions.

He also provided a gift of a bag containing all winds but the west, which Odysseus's crew members unwittingly opened just before they were to reach Ithaca.

Today, the Valley is still largely dominated by agriculture but also has a growing diversity in its economies, partly aided by the importance of post-secondary education centres provided by Acadia University in Wolfville, and the Nova Scotia Community College campuses located in Kentville, Middleton, Lawrencetown, and Digby.

Capp portrayed himself in a cameo role in the Bob Hope film That Certain Feeling, ( for which he also provided promotional art ).

The quarrels among Timur's descendants that threw Afghanistan into turmoil also provided the pretext for the intervention of outside forces.

The Nova provided four accumulators, AC0-AC3, although AC2 and AC3 could also be used to provide offset addresses, tending towards more generality of usage for the registers.

The amount of protection provided by any one antioxidant will also depend on its concentration, its reactivity towards the particular reactive oxygen species being considered, and the status of the antioxidants with which it interacts.

Local transport is provided by a Stadtbahn ( light rail ), which also features two lines to Cologne.

Some assistance was provided to Belarus within the framework of the TACIS programme and also through various aid programs and loans.

Pakistan has also provided medium-tech to high Tech weapons to Bosnian Government in the past.

Brazil has also increasingly provided Latin American nations with financial aid and technical assistance.

International service is also provided by Air Zaïre, Sabena, and other airlines.

Years later, he decided that this sort of experience had provided him with not only an interest in design, but also a habit of being familiar with and knowledgeable about the materials that his later projects would require.

It is also commonly used in mathematics in algebraic solutions representing quantities such as angles.

The sum, difference, product and quotient of two algebraic numbers is again algebraic ( this fact can be demonstrated using the resultant ), and the algebraic numbers therefore form a field, sometimes denoted by A ( which may also denote the adele ring ) or < span style =" text-decoration: overline ;"> Q </ span >.

His first ( pre-IHÉS ) breakthrough in algebraic geometry was the Grothendieck – Hirzebruch – Riemann – Roch theorem, a far-reaching generalisation of the Hirzebruch – Riemann – Roch theorem proved algebraically ; in this context he also introduced K-theory.

The term abstract data type can also be regarded as a generalised approach of a number of algebraic structures, such as lattices, groups, and rings.

To see this, note that if L is any algebraic extension of K, then the algebraic closure of L is also an algebraic closure of K, and so L is contained within the algebraic closure of K.

The algebraic closure of K is also the smallest algebraically closed field containing K,

The two values can also be interpreted as logical values ( true / false, yes / no ), algebraic signs (+/−), activation states ( on / off ), or any other two-valued attribute.

The spaceX * of all linear maps into K ( which is called the algebraic dual space to distinguish it from X ′) also induces a weak topology which is finer than that induced by the continuous dual since X ′ ⊆ X *.

C *- algebras are now an important tool in the theory of unitary representations of locally compact groups, and are also used in algebraic formulations of quantum mechanics.

Diophantine geometry, which is the application of techniques from algebraic geometry in this field, has continued to grow as a result ; since treating arbitrary equations is a dead end, attention turns to equations that also have a geometric meaning.

* A congruence relation is an equivalence relation whose domain X is also the underlying set for an algebraic structure, and which respects the additional structure.

Algebra also defines the rules and conventions of how it is written ( called algebraic notation ).

The most commonly used fields are the field of real numbers, the field of complex numbers, and the field of rational numbers, but there are also finite fields, fields of functions, various algebraic number fields, p-adic fields, and so forth.

Analytically, x can also be raised to an irrational power ( for positive values of x ); the analytic properties are analogous to when x is raised to rational powers, but the resulting curve is no longer algebraic, and cannot be analyzed via algebraic geometry.

* The fundamental groups considered in algebraic geometry are also profinite groups, roughly speaking because the algebra can only ' see ' finite coverings of an algebraic variety.

Since the polynomials with integer coefficients are countable, and since each such polynomial has a finite number of zeroes, the algebraic numbers must also be countable.

A related class of numbers are closed-form numbers, which may be defined in various ways, including rational numbers ( and in some definitions all algebraic numbers ), but also allow exponentiation and logarithm.