A system identifier is a document processing construct introduced in the HyTime markup language as a supplement to SGML.

HyTime ( Hypermedia / Time-based Structuring Language ) is a markup language that is an application of SGML.

* HyTime — Generalized hypertext and scheduling.

** HyTime was partially reworked into W3C XLink.

HyTime is rarely used in new projects.

HyTime is an international standard published by the ISO and IEC.

* XLink was intended as a simplified version of HyTime for use in the XML world, but has not seen much adoption.

* Work on applying HyTime to back-of-book indexes eventually led to the development of Topic Maps, which eventually became far more successful in its own right than HyTime ever was.

The HyTime standard itself is ISO / IEC 10744, first published in 1992 and available from the International Organization for Standardization.

* Standards: HyTime: A standard for structured hypermedia interchange by Charles Goldfarb, from IEEE Computer magazine, vol.

In HyTime, there are two kinds of system identifier: formal system identifier ( FSI ) and simple system identifier.

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.

Well-known communications protocols are Ethernet, a hardware and Link Layer standard that is ubiquitous in local area networks, and the Internet Protocol Suite, which defines a set of protocols for internetworking, i. e. for data communication between multiple networks, as well as host-to-host data transfer, and application-specific data transmission formats.

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.

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.

Formally speaking, a collation method typically defines a total order on a set of possible identifiers, called sort keys, which consequently produces a total preorder on the set of items of information ( items with the same identifier are not placed in any defined order ).

A filter implemented in a computer program ( or a so-called digital signal processor ) is a discrete-time system ; a different ( but parallel ) set of mathematical concepts defines the behavior of such systems.

The most common way to formalize this is by defining a field as a set together with two operations, usually called addition and multiplication, and denoted by + and ·, respectively, such that the following axioms hold ; subtraction and division are defined implicitly in terms of the inverse operations of addition and multiplication :< ref group =" note "> That is, the axiom for addition only assumes a binary operation The axiom of inverse allows one to define a unary operation that sends an element to its negative ( its additive inverse ); this is not taken as given, but is implicitly defined in terms of addition as " is the unique b such that ", " implicitly " because it is defined in terms of solving an equation — and one then defines the binary operation of subtraction, also denoted by "−", as in terms of addition and additive inverse.

Another way to describe G-sets is the functor category, where is the groupoid ( category ) with one element and isomorphic to the group G. Indeed, every functor F of this category defines a set X = F and for every g in G ( i. e. for every morphism in ) induces a bijection F < sub > g </ sub >: X → X.

The categorical structure of the functor F assures us that F defines a G-action on the set X.

is the potential energy function, now a function of the spatial configuration of the system and time ( a particular set of spatial positions at some instant of time defines a configuration ) and ;

Given a set S with a partial order ≤, an infinite descending chain is a chain V that is a subset of S upon which ≤ defines a total order such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.

The propositional calculus then defines an argument as a set of propositions.

The schema of a Directory Server defines a set of rules that govern the kinds of information that the server can hold.

MIME defines a collection of email headers for specifying additional attributes of a message including content type, and defines a set of transfer encodings which can be used to represent 8-bit binary data using characters from the 7-bit ASCII character set.

The " macroscopic " set of Maxwell's equations defines two new auxiliary fields that can sidestep having to know these ' atomic ' sized charges and currents.

The monolithic differs from other operating system architectures ( such as the microkernel architecture ) in that it defines alone a high-level virtual interface over computer hardware, with a set of primitives or system calls to implement all operating system services such as process management, concurrency, and memory management itself and one or more device drivers as modules. Structure of monolithic kernel, microkernel and hybrid kernel-based operating systems

Orthography thus describes or defines the set of symbols used in writing a language, and the rules about how to use those symbols.

An alternative approach defines a polytope as a set of points that admits a simplicial decomposition.

The product of group subsets therefore defines a natural monoid structure on the power set of G.

When parameters are present, the definition actually defines a whole family of functions, one for every valid set of values of the parameters.

* The RTP profile for Audio and video conferences with minimal control ( RFC 3551 ) defines a set of static payload type assignments, and a mechanism for mapping between a payload format, and a payload type identifier ( in header ) using Session Description Protocol ( SDP ).

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

With each spoken word or action in the scene, an improviser makes an offer, meaning that he or she defines some element of the reality of the scene.

A crucial element that defines soap opera is the open-ended nature of the narrative, with stories spanning several episodes.

Moreover, any element u ∈ F ( A ) defines a natural transformation in this way.

The most significant for the language being that an element name uniquely defines its possible contents.

* In linguistics, center embedding defines the recursive nesting of an element in the middle of a similar element

Persuasion of the ideal of his mother is an important element which defines his love.

* Timing is the third key element which defines the time spent in each pose or pranayama.

where f is in V * and v is in V. The map C defines the contraction operation on a tensor of type ( 1, 1 ), which is an element of.

When no mens rea is specified, under the Model Penal Code or MPC, the default mens rea requirement is recklessness, which the MPC defines as " when a person consciously disregards a substantial and unjustifiable risk with respect to a material element ".

Given a set S of matrices, each of which is diagonalizable, and any two of which commute, it is always possible to simultaneously diagonalize all of the elements of S. Equivalently, for any set S of mutually commuting semisimple linear transformations of a finite-dimensional vector space V there exists a basis of V consisting of simultaneous eigenvectors of all elements of S. Each of these common eigenvectors v ∈ V, defines a linear functional on the subalgebra U of End ( V ) generated by the set of endomorphisms S ; this functional is defined as the map which associates to each element of U its eigenvalue on the eigenvector v. This " generalized eigenvalue " is a prototype for the notion of a weight.

In any Heyting algebra, one defines the pseudo-complement of any element by setting.

Now a differential operator as above naturally defines an element of K ( TX ), and the image in Z under this map " is " the topological index.

This sample document defines an associative array with 7 top level keys: one of the keys, " items ", contains a 2 element array ( or " list "), each element of which is itself an associative array with differing keys.

This defines an associative algebra over K. This algebra has a unit element if and only if the quiver has only finitely many vertices.

Let R < sub > h </ sub > denote the ( right ) action of h ∈ H on P. The derivative of this action defines a vertical vector field on P for each element ξ of: if h ( t ) is a 1-parameter subgroup with h ( 0 )= e ( the identity element ) and h '( 0 )= ξ, then the corresponding vertical vector field is

More precisely, given a cyclically ordered set (, each element defines a natural linear order on the remainer of the set,, by the following rule: