The latter definition ignores the direction of the vectors and thus describes the angle between one-dimensional subspaces and spanned by the vectors and correspondingly.

An unrelated definition of Vice Chair describes an executive who is higher ranking or has more seniority than Executive Vice President.

In Samuel Johnson's 1828 dictionary, his definition of " pall mall " clearly describes a game with similarities to modern croquet: " A play in which the ball is struck with a mallet through an iron ring ".

The definition currently describes a collection of buildings that belong to a given institution, either academic or non-academic.

Robbins describes the definition as not classificatory in " pick out certain kinds of behaviour " but rather analytical in " focus attention on a particular aspect of behaviour, the form imposed by the influence of scarcity.

The thermodynamic definition was developed in the early 1850s by Rudolf Clausius and essentially describes how to measure the entropy of an isolated system in thermodynamic equilibrium.

This definition describes the entropy as being proportional to the natural logarithm of the number of possible microscopic configurations of the individual atoms and molecules of the system ( microstates ) which could give rise to the observed macroscopic state ( macrostate ) of the system.

By an abuse of the definition, a particular formal language is often thought of as being equipped with a formal grammar that describes it.

In its classic definition, by François-Louis Ganshof ( 1944 ), feudalism describes a set of reciprocal legal and military obligations among the warrior nobility, revolving around the three key concepts of lords, vassals, and fiefs.

According to the what economist Nicholas Barr describes as the " classical definition of income :" the 1938 Haig-Simons definition, " income may be defined as the ... sum of ( 1 ) the market value of rights exercised in consumption and ( 2 ) the change in the value of the store of property rights ..." Since the consumption potential of non-monetary goods, such as leisure, cannot be measured, monetary income may be thought of as a proxy for full income.

The William and Flora Hewlett Foundation definition describes open educational resources as either " resid in the public domain or [...] released under an intellectual property license that permits their free use or re-purposing by others.

Part of the definition shown is optional, and describes the types of this function.

A more practical definition of the term describes it as changes occurring on geological time scales, in contrast to microevolution, which occurs on the timescale of human lifetimes.

One definition casts quasigroups as a set with one binary operation, and the other is a version from universal algebra which describes a quasigroup by using three primitive operations.

The most commonly used definition is Max Weber's, which describes the state as a compulsory political organization with a centralized government that maintains a monopoly of the legitimate use of force within a certain territory.

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

UNHCR's mandate has gradually been expanded to include protecting and providing humanitarian assistance to whom it describes as other persons " of concern ," including internally displaced persons ( IDPs ) who would fit the legal definition of a refugee under the 1951 United Nations Convention Relating to the Status of Refugees and 1967 Protocol, the 1969 Organization for African Unity Convention, or some other treaty if they left their country, but who presently remain in their country of origin.

One definition describes Eastern Europe as a cultural ( and econo-cultural ) entity: the region lying in Europe with main characteristics consisting in Byzantine, Orthodox and minor and limited Ottoman influences.

As with every universal property, the above definition describes a balanced state of generality: The limit object L has to be general enough to allow any other cone to factor through it ; on the other hand, L has to be sufficiently specific, so that only one such factorization is possible for every cone.

UNHCR's mandate has gradually been expanded to include protecting and providing humanitarian assistance to what it describes as other persons " of concern ," including internally displaced persons ( IDPs ) who would fit the legal definition of a refugee under the 1951 Refugee Convention and 1967 Protocol, the 1969 Organization for African Unity Convention, or some other treaty if they left their country, but who presently remain in their country of origin.

Chalcedonian describes churches and theologians which accept the definition given at the Council of Chalcedon ( 451 AD ) of how the divine and human relate in the person of Jesus Christ.

A typical clue contains a definition at the beginning or end of the clue, and wordplay, which describes the word indicated by the definition, and which may not parse logically, but should be grammatical.

No matter how devoted a man was, no matter how fully he gave his life to the Lord, he could never extinguish that one spark of pride that gave him definition as an individual.

::" We have no idea how consciousness emerges from the physical activity of the brain and we do not know whether consciousness can emerge from non-biological systems, such as computers ... At this point the reader will expect to find a careful and precise definition of consciousness.

A normative definition views crime as deviant behavior that violates prevailing normscultural standards prescribing how humans ought to behave normally.

It is impossible to say how many chronicles exist, as the many ambiguities in the definition of the genre make it impossible to draw clear distinctions of what should or should not be included.

However, whether this is possible depends on how the field of complex numbers is derived in the first place: it may not be possible to distinguish a complex number from its conjugate ( say, 3 + i from 3-i ), since it is impossible to find a property of one that is not also a property of the other, without falling back on the underlying set-theoretic definition.

Frances and others have published debates on what they see as the six most essential questions in psychiatric diagnosis-are they more like theoretical constructs or more like diseases ; how to reach an agreed definition ; whether the DSM-V should take a cautious or conservative approach ; the role of practical rather than scientific considerations ; the issue of use by clinicians or researchers ; and whether an entirely different diagnostic system is required.

( Form of Content, that Louis Hjelmslev distinguished from Form of Expression ) than how the word " house " may be tied to a certain image of a traditional house ( i. e. the relationship between signifier and signified ) with each term being established in reciprocal determination with the other terms than by an ostensive description or definition: when can we talk about a " house " or a " mansion " or a " shed "?

" R. M. Hare also criticised ethical naturalism because of its fallacious definition of the terms ' good ' or ' right ' explaining how value-terms being part of our prescriptive moral language are not reducible to descriptive terms: " Value-terms have a special function in language, that of commending ; and so they plainly cannot be defined in terms of other words which themselves do not perform this function "

The identity of the longest word in English depends upon the definition of what constitutes a word in the English language, as well as how length should be compared.

Because no set definition of what constitutes a lake and no procedures for counting the number of lakes exist, it has been impossible to ascertain exactly how many lakes the region has.

An exact definition of how GWP is calculated is to be found in the IPCC's 2001 Third Assessment Report.

Grothendieck also saw how to phrase the definition of covering abstractly ; this is where the definition of a Grothendieck topology comes from.

He presented a paper which posed the question of correctly formed definitions in mathematics, i. e. " how do you define a definition ?".

Chief among these were the definition and configuration of the area to be allocated to contractors for exploration, the fees to be paid to the Authority and the question of how to deal with any overlapping claims that might arise.

A key factor in knitting is stitch definition, corresponding to how well complicated stitch patterns can be seen when made from a given yarn.

# Larry is always by definition right about how Perl should behave.

The exact number of known living languages will vary from 5, 000 to 10, 000, depending generally on the precision of one's definition of " language ", and in particular on how one classifies dialects.

The traditional definition of climate is pushed in to larger timescales with the further understanding of how the global oscillations cause both climate and weather disturbances in the synoptic and mesoscale timescales.

A common definition of a metaphor can be described as a comparison that shows how two things that are not alike in most ways are similar in another important way.

The definition of NC is not affected by the choice of how the PRAM handles simultaneous access to a single bit by more than one processor.