This may be a formal hierarchy, or they may be vague, overlapping terms, or a combination of both.

Later still, abstraction was manifest in more purely formal terms, such as color, freedom from objective context, and a reduction of form to basic geometric designs.

Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

* Semantics encoding of formal language A in formal language B is a method of representing all terms ( e. g. programs or descriptions ) of language A using language B.

In every day terms, the imam for Sunni Muslims is the one who leads Islamic formal ( Fard ) prayers, even in locations besides the mosque, whenever prayers are done in a group of two or more with one person leading ( imam ) and the others follow by copying his ritual actions of worship.

In general terms, a calculus is a formal system that consists of a set of syntactic expressions ( well-formed formulæ or wffs ), a distinguished subset of these expressions ( axioms ), plus a set of formal rules that define a specific binary relation, intended to be interpreted as logical equivalence, on the space of expressions.

Tegmark writes that " abstract mathematics is so general that any Theory Of Everything ( TOE ) that is definable in purely formal terms ( independent of vague human terminology ) is also a mathematical structure.

The terms Neogene System ( formal ) and upper Tertiary System ( informal ) describe the rocks deposited during the Neogene Period.

Like other theories, the theory of probability is a representation of probabilistic concepts in formal terms — that is, in terms that can be considered separately from their meaning.

These formal terms are manipulated by the rules of mathematics and logic, and any results are interpreted or translated back into the problem domain.

where n is a natural number, the coefficients are elements of R, and X is a formal symbol, whose powers X < sup > i </ sup > are just placeholders for the corresponding coefficients a < sub > i </ sub >, so that the given formal expression is just a way to encode the sequence, where there is an n such that a < sub > i </ sub > = 0 for all i > n. Two polynomials sharing the same value of n are considered equal if and only if the sequences of their coefficients are equal ; furthermore any polynomial is equal to any polynomial with greater value of n obtained from it by adding terms in front whose coefficient is zero.

Thus each polynomial is actually equal to the sum of the terms used in its formal expression, if such a term a < sub > i </ sub > X < sup > i </ sup > is interpreted as a polynomial that has zero coefficients at all powers of X other than X < sup > i </ sup >.

Prolog has its roots in first-order logic, a formal logic, and unlike many other programming languages, Prolog is declarative: the program logic is expressed in terms of relations, represented as facts and rules.

The terms ' Paleogene System ' ( formal ) and ' lower Tertiary System ' ( informal ) are applied to the rocks deposited during the ' Paleogene Period '.

When the terms formal parameter and actual parameter are used, they generally correspond with the definitions used in computer science.

In less formal terms, a polymath ( or polymathic person ) may simply be someone who is very knowledgeable.

The relational model was the first database model to be described in formal mathematical terms.

Numerous slang terms pass into informal mainstream speech, and sometimes into formal speech, though this may involve a change in meaning or usage.

A more formal definition of a finite sequence with terms in a set S is a function from

In formal terms, the worldsheet in these theories is a non-orientable surface.

The collection, structuring and recovery of linked data are enabled by technologies that provide a formal description of concepts, terms, and relationships within a given knowledge domain.

According to the Center for Economic and Policy Research ( CEPR ), the period from 1980 – 2005 has seen diminished progress in terms of economic growth, life expectancy, infant and child mortality, and to a lesser extent education.

Sixteen of the schools have been affiliated with the United Nations ' UNESCO Associated Schools Project Network, which sponsors education projects that foster improved quality of education throughout the world, in particular in terms of its ethical, cultural, and international dimensions.

Nikolai Tsonev, defence minister under the 2005 – 2009 cabinet, undertook steps to provide the members of the military and their families with certain privileges in terms of healthcare and education, and to improve living conditions.

Rújiào and Kǒngjiào contain the Chinese character jiào, the noun " teach ", used in such as terms as " education ", or " educator ".

In addition to the academic requirements for graduation, Dartmouth requires every undergraduate to complete a swim and three terms of physical education.

Milken also established K12 ( company ), a publicly traded education management organization ( EMO ) that provides online schooling, including to charter school students for whom services are paid by tax dollars, which is the largest EMO in terms of enrollment.

After Deng Xiaoping took power in 1978 greater autonomy has been given to provinces in terms of economic policy implementation as well as other areas of policy such as education and transportation.

The edict paved the way for the most far-reaching reforms in terms of their social consequences, including the creation of a national education system and the abolition of the imperial examinations in 1905.

George Tenet, then-Director of the Central Intelligence Agency ( CIA ), later described intelligence reports of his meeting with Al Qaeda as “ frustratingly vague .” He, however, told the FIA intelligence officials in very clear terms that he had nothing to do with the Al-Qaeda or any other terrorist organization and he was only working on humanitarian issues like food, health and education.

In terms of women and the labor market, by the end of 1991 AMNLAE reported that almost 16, 000 working women-9, 000 agricultural laborers, 3, 000 industrial workers, and 3, 800 civil servants, including 2, 000 in health, 800 in education, and 1, 000 in administration-had lost their jobs.

Yet in 1935, the education budget for the entire country of Tanganyika amounted to only ( US ) $ 290, 000, although it is unclear how much this represented at the time in terms of purchasing power parity.

The whole education that we get for our children in school is entirely in terms of abstractions.

Social capital is particularly important in terms of education.

* Herefordshire College of Technology or HCT-the only main higher education facility in the county, and the largest in terms of property ownership.

In 2010, Miami ranked seventh in the United States in terms of finance, commerce, culture, entertainment, fashion, education, and other sectors.

* Chen Jitang governed the province of Guangdong where he made significant contributions in terms of modernization and education.

Increasingly, vocational education can be recognised in terms of recognition of prior learning and partial academic credit towards tertiary education ( e. g., at a university ) as credit ; however, it is rarely considered in its own form to fall under the traditional definition of higher education.

In 1979, the statute of autonomy was finally approved delegating more automomy in matters of education and culture than the 1932 statute, but less in terms of the systems of justice and public order.

Within the services sector, the main activities in terms of gross value added are business activities, distributive trade, education and public administration.

", and terms such as " attitude " or " attitudinal " may replaced " interpersonal " as contrasting with institutional classism, as in the Association of Magazine Media's definition of classism as " any attitude or institutional practice which subordinates people due to income, occupation, education and / or their economic condition.

The town is a shadow of its former self in terms of education facilities.

The public schools are governed by a seven-member board of education consisting of three trustees, one secretary, one treasurer, one vice president, and one president, elected by the residents of the district to staggered six-year terms.