which defines the Abbe number with respect to the yellow Fraunhofer d ( or D < sub > 3 </ sub >) helium line at 587. 5618 nm wavelength.

The atomic number of an element is equal to the number of protons that defines the element.

Although a " bijection " seems a more advanced concept than a number, the usual development of mathematics in terms of set theory defines functions before numbers, as they are based on much simpler sets.

Using the diagonal argument, it is possible to define a real number x, which is not equal to G ( n ) for any n. This means that there is a language L ' that defines x, which is undefinable in L.

The private company, Dansk Standard, regulation number 359 of 2005, defines the red colour of the flag as Pantone 186c.

In a debate at Orange Coast College, he voiced his support for Proposition 8, which defines marriage in California as only between a man and a woman, and said that he " would suggest not changing the definition of marriage in our society to make a small number of people feel more comfortable.

Frequentist probability or frequentism is the " standard " interpretation of probability ; it defines an event's probability as the limit of its relative frequency in a large number of trials.

This code defines a new word ( again, word is the term used for a subroutine ) called using the following commands: duplicates the number on the stack ; places a 6 on top of the stack ; compares the top two numbers on the stack ( 6 and the ed input ), and replaces them with a true-or-false value ; takes a true-or-false value and chooses to execute commands immediately after it or to skip to the ; discards the value on the stack ; and ends the conditional.

In addition to the data circuits, the standard defines a number of control circuits used to manage the connection between the DTE and DCE.

In addition, SVG defines and elements where authors may also provide plain-text descriptive material within an SVG image to help indexing, searching and retrieval by a number of means.

The revised and expanded, second edition of the Mismeasure of Man ( 1996 ) analyzes and challenges the methodological accuracy of The Bell Curve ( 1994 ), by Richard Herrnstein and Charles Murray, which re-presented the arguments of what Gould terms biological determinism, which he defines as " the abstraction of intelligence as a single entity, its location within the brain, its quantification as one number for each individual, and the use of these numbers to rank people in a single series of worthiness, invariably to find that oppressed and disadvantaged groups — races, classes, or sexes — are innately inferior and deserve their status.

A system parameter defines the maximum number of data bytes that a host can pack into a frame.

Otherwise, that cut defines a unique irrational number which, loosely speaking, fills the " gap " between A and B.

Dedekind's construction of the number line ensures that two crossing lines always have one point in common because each of them defines a Dedekind cut on the other.

Generally, NASA defines " high " hypersonic as any Mach number from 10 to 25, and re-entry speeds as anything greater than Mach 25.

Wall Street defines itself through a number of morality conflicts putting wealth and power against simplicity and honesty.

The user defines a number of callback methods that will be called when events occur during parsing.

( Please note that Japan has a guideline of a limit of 1 % of GDP on defense spending, however, Japan defines a number of activities as non-defense spending ) Given these circumstances, some have viewed Article 9 as increasingly irrelevant.

JFIF defines a number of details that are left unspecified by the JPEG Part 1 standard ( ISO / IEC IS 10918-1, ITU-T Recommendation T. 81 ):

The sampling rate, sample rate, or sampling frequency () defines the number of samples per unit of time ( usually seconds ) taken from a continuous signal to make a discrete signal.

The narration was then improvised by Kerouac resulting in a film that defines the Beat Generation, making a comment on a number of topics representative of conservative America, including protests against industrialization, education, anti-Semitism, sexuality, gender roles, religion and patriotism.

In lexical order we obtain a sequence of definitions D < sub > 1 </ sub >, D < sub > 2 </ sub >, D < sub > 3 </ sub >, ... Now, it may happen that a definition defines its own number.

While there is no generally accepted formal definition of " algorithm ," an informal definition could be " a set of rules that precisely defines a sequence of operations.

The formalisation defines algorithm complexity, problem complexity and reducibility which in turn allows equivalence classes to be defined.

This defines a future horizon, which limits the events in the future that we will be able to influence.

This is a paradox: there must be an integer defined by this expression, but since the expression is self-contradictory ( any integer it defines is definable in under eleven words ), there cannot be any integer defined by it.

* Classical or Angkor Wat Style ( 1080 – 1175 ): Angkor Wat, the temple and perhaps the mausoleum of King Suryavarman II, is the greatest of the Angkorian temples and defines what has come to be known as the classical style of Angkorian architecture.

A formal grammar defines ( or generates ) a formal language, which is a ( usually infinite ) set of finite-length sequences of symbols ( i. e. strings ) that may be constructed by applying production rules to another sequence of symbols which initially contains just the start symbol.

Such a grammar defines the formal language: all words consisting solely of terminal symbols which can be reached by a derivation from the start symbol.

In the following, Marvin Minsky defines the numbers to be computed in a manner similar to those defined by Alan Turing in 1936, i. e. as " sequences of digits interpreted as decimal fractions " between 0 and 1:

Another technique called constructive solid geometry defines objects by conducting boolean operations on regular shapes, and has the advantage that animations may be accurately produced at any resolution.

The United Nations defines the essential features of population and housing censuses as " individual enumeration, universality within a defined territory, simultaneity and defined periodicity ", and recommends that population censuses be taken at least every 10 years.

The specification defines an environment that allows multiple high-level languages to be used on different computer platforms without being rewritten for specific architectures.

In the same way one defines a Cartesian space of any dimension n, whose points can be identified with the tuples ( lists ) of n real numbers, that is, with.

This refers, roughly, to whether the disorders it defines are actually real conditions in people in the real world, that can be consistently identified by its criteria.

A library defines items that should be compiled and handled together, while a module defines the namespace.

The flow now defines a map, the Poincaré map F: S → S, for points starting in S and returning to S. Not all these points will take the same amount of time to come back, but the times will be close to the time it takes x < sub > 0 </ sub >.

It is often claimed in this context that a person defines himself or herself, which is often perceived as stating that they can wish to be something — anything, a bird, for instance — and then be it.

For example, under standard organizational and casing conventions, might be the name of a file that defines a class called X.

Modern mathematics defines an " elliptic integral " as any function which can be expressed in the form

LTI filters can be completely described by their frequency response and phase response, the specification of which uniquely defines their impulse response, and vice versa.

The dogmatic constitution states that the Pope has " full and supreme power of jurisdiction over the whole Church " ( chapter 3: 9 ); and that, when he " speaks ex cathedra, that is, when, in the exercise of his office as shepherd and teacher of all Christians, in virtue of his supreme apostolic authority, he defines a doctrine concerning faith or morals to be held by the whole Church, he possesses, by the divine assistance promised to him in blessed Peter, that infallibility which the divine Redeemer willed his Church to enjoy in defining doctrine concerning faith or morals " ( chapter 4: 9 ).

The code defines how sequences of three nucleotides, called codons, specify which amino acid will be added next during protein synthesis.