In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry.

The basic idea of his proof is that a proposition that holds of x if x = n for some natural number n can be called a definition for n, and that the set

The most basic definition he used to describe a constitution in general terms was " the arrangement of the offices in a state ".

" With the latter definition, Confucianism is religious, even if non-theistic, in the sense that it " performs some of the basic psycho-social functions of full-fledged religions ", in the same way that non-theistic ideologies like Communism do.

Given this basic definition, further criteria are needed to establish a dividing line between postlexical clitics and morphological affixes, since both are characterized by a lack of prosodic autonomy.

In contrast, the basic definition of " whisky " in the United States has no specific aging duration requirements for whiskey, except for whiskey labelled as " straight " ( which must be aged for at least two years ).

Authorities disagree on the exact definition of fractal, but most usually elaborate on the basic ideas of self-similarity and an unusual relationship with the space a fractal is embedded in.

But this debate is more about basic economic theory ( the role of the factors in the economy ) than it is about the definition of the factors of production.

Hinduism is a conglomeration of distinct intellectual or philosophical points of view, rather than a rigid common set of beliefs, thus the basic definition of fundamentalism cannot apply to Hinduism considering that it does not contain any fundamental thoughts to abide to.

The term covers large paintings in oil on canvas or fresco produced between the Renaissance and the late 19th century, after which the term is generally not used even for the many works that still meet the basic definition.

However, a useful definition of risk management will be provided as well as some basic terminology and a commonly used process for risk management.

However, the method of cooking these sheets of dough does not correspond to our modern definition of either a fresh or dry pasta product, which only had similar basic ingredients and perhaps the shape.

" Eventually, the scope of those rights broadened even further to include a basic " right to be let alone ," and the former definition of " property " would then comprise " every form of possession -- intangible, as well as tangible.

However, many writers and scholars have noted that this basic ' belief in god ' definition fails to capture the diversity of religious thought and experience.

In two later cases, it did establish a basic definition.

A candidate key is a unique identifier enforcing that no tuple will be duplicated ; this would make the relation into something else, namely a bag, by violating the basic definition of a set.

" In management theory, the Chandler definition is typical: "... the determination of the basic long-term goals and objectives of an enterprise, and the adoption of courses of action and the allocation of resources necessary for carrying out these goals ".

The marginal note to section 1 of the Theft Act 1968 describes it as a " basic definition " of theft.

State law regulates most aspects of electoral law, including primaries, the eligibility of voters ( beyond the basic constitutional definition ), the running of each state's electoral college, and the running of state and local elections.

Within the very wide range of Eurasian decorative art that includes motifs matching this basic definition the term " arabesque " is used consistently as a technical term by art historians to describe only elements of the decoration found in two phases: Islamic art from about the 9th century onwards, and European decorative art from the Renaissance onwards.

The intercept point according to its basic definition should be determined by drawing the straight lines with slope 1 and n through the measured data at the smallest possible power level ( possibly limited towards lower power levels by instrument or device noise ).

This includes the root classes that form the class hierarchy, types tied to the language definition, basic exceptions, math functions, threading, security functions, as well as some information on the underlying native system.

More generally, while the basic demographic equation holds true by definition, in practice the recording and counting of events ( births, deaths, immigration, emigration ) and the enumeration of the total population size are subject to error.

A basic definition of wisdom is the making use of knowledge.

" dBi " is used rather than just " dB " to emphasize that this is the gain according to the basic definition, in which the antenna is compared to an isotropic radiator.

Discussion of minority housing necessarily involves such basic issues as the intensity of one's democratic conviction and religious belief concerning equality of opportunity, the function and limitations of government in the securing of such equality, and the spotlight that world opinion plays upon local incidents of racial agitation and strife.

After the basic form of the theorem is proved, it will be easy to extend it to the case of predicate calculus with equality.

During the 17th century, the basic tenets of the Grotian or eclectic school, especially the doctrines of legal equality, territorial sovereignty, and independence of states, became the fundamental principles of the European political and legal system and were enshrined in the 1648 Peace of Westphalia.

Critics like Ken Binmore say that this cognitive dissonance is apparently not very strong, since people often knowingly ignore the interests of faraway societies quite similar to their own, and that the " ought " above only applies if one already accepts Singer's basic premises about the equality of various interests.

Upon assuming power, the FSLNs political platform included the following: nationalization of property owned by the Somozas and their supporters ; land reform ; improved rural and urban working conditions ; free unionization for all workers, both urban and rural ; price fixing for commodities of basic necessity ; improved public services, housing conditions, education ; abolition of torture, political assassination and the death penalty ; protection of democratic liberties ; equality for women ; non-aligned foreign policy ; formation of a " popular army " under the leadership of the FSLN and Humberto Ortega.

In physics the term theory is generally used for a mathematical framework — derived from a small set of basic postulates ( usually symmetries, like equality of locations in space or in time, or identity of electrons, etc.

It affirmed Yemen's commitment to free elections, a multiparty political system, the right to own private property, equality under the law, and respect of basic human rights.

Calhoun explicitly rejected the founding principles of equality in the Declaration of Independence, denying that humanity is born free and equal in shared human nature and basic needs.

The second classification, was called the ' renewing kibbutz ', which included developments and changes in lifestyle, provided that the basic principles of mutual guarantee and equality are preserved.

In physics, the term theory is generally used for a mathematical framework — derived from a small set of basic postulates ( usually symmetries — like equality of locations in space or in time, or identity of electrons, etc.

Nearing instead outlined an economic republicanism based upon " four basic democratic concepts — equality of opportunity, civic obligation, popular government, and human rights.

* Book 1 contains Euclid's 10 axioms ( 5 named postulates — including the parallel postulate — and 5 named axioms ) and the basic propositions of geometry: the pons asinorum ( proposition 5 ), the Pythagorean theorem ( Proposition 47 ), equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are " equal " ( have the same area ).

Similarly, Clarke explores specific beliefs, longings and experience of oppression and resistance, the desire for safety, freedom, equality and other basic human rights, shared among the immigrants, historically and contemporaneously.

The equality of nations being a basic principle of the League of Nations, the High Contracting Parties agree to accord as soon as possible to all alien nationals of states, members of the League, equal and just treatment in every respect making no distinction, either in law or in fact, on account of their race or nationality.

Nevertheless, he courageously proposed that racial equality should have been legally enshrined as one of the basic tenets of the newly formed League of Nations, but both the USA and Great Britain opposed his proposal and prompted its rejection from the delegates, very likely because of the destabilizing effects it would have wreaked upon their respective racially segregated societies.

The formal approach is seen as a somewhat basic " no frills " or " narrow " approach to equality of opportunity, a minimal standard of sorts, limited to the public sphere as opposed to private areas such as the family, marriage, or religion.

The basic values of social democracy, freedom, equality, justice and solidarity were reaffirmed.

The Nordic strategy for achieving equality and excellence in education has been based on constructing a publicly funded comprehensive school system without selecting, tracking, or streaming students during their common basic education.

Family life is now in focus, and here also the basic values shine through, like that of gender equality.

Considering the presented historical facts and universally accepted principles of the modern world, as well as the inalienable and indivisible, non-transferable and nonexhaustible right of the Croatian nation to self-determination and state sovereignty, including its fully maintained right to secession and association, as basic provisions for peace and stability of the international order, the Republic of Croatia is established as the national state of the Croatian nation and the state of the members of autochthonous national minorities: Serbs, Czechs, Slovaks, Italians, Hungarians, Jews, Germans, Austrians, Ukrainians, Rusyns, Bosniaks, Slovenians, Montenegrins, Macedonians, Russians, Bulgarians, Poles, Roma, Romanians, Turks, Vlachs, Albanians and the others who are citizens, and who are guaranteed equality with citizens of Croatian nationality and the realization of national rights in accordance with the democratic norms of the United Nations Organization and the countries of the free world.

The preamble of the TDP was to provide a welfare state based on the basic tenets of social justice and equality for all.

The Commission considers that the expression of an individual's religion in the French state has to comply with the basic rules regarding the secular nature of the state and has to comply with the requirements of equality between the sexes and the safeguarding of the rights of minors.

Langar is always served to the sangat ( the congregation ) sitting on the floor, as equality amongst all members of the community is a basic tenet of Sikhism.