space


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space

1. 
a. the region beyond the earth's atmosphere containing the other planets of the solar system, stars, galaxies, etc.; universe
b. (as modifier): a space probe
2. 
a. the region beyond the earth's atmosphere occurring between the celestial bodies of the universe. The density is normally negligible although cosmic rays, meteorites, gas clouds, etc., can occur. It can be divided into cislunar space (between the earth and moon), interplanetary space, interstellar space, and intergalactic space
b. (as modifier): a space station
3. Music any of the gaps between the lines that make up the staff
4. Maths a collection of unspecified points having properties that obey a specified set of axioms

space

The near-vacuum existing beyond the atmospheres of all bodies in the Universe. The extent of space, i.e. whether it is finite or infinite, is as yet unresolved. See intergalactic medium; interplanetary medium; interstellar medium.

Space

The unlimited continuous three-dimensional expanse in which all material objects exist; all the area in and around a structure, or volume between specified boundaries, and the interval between two objects.

Space

 

in mathematics, a logically conceivable form or structure that is used as a setting in which other forms and various constructions are realized. For example, in elementary geometry the plane or space is the setting in which various figures are constructed. In most spaces, we introduce relations whose formal properties are similar to those of ordinary spatial relations, such as distance between points or congruence of figures. Consequently, such spaces may be said to represent logically conceivable spacelike forms.

Historically, the first mathematical space was three-dimensional Euclidean space, which is an approximate abstract image of physical space; it has remained a very important space in mathematics. The general concept of space took shape in mathematics as a result of the gradual, increasingly broad generalization and modification of the concepts of the geometry of Euclidean space. The first spaces differing from three-dimensional Euclidean space were introduced in the first half of the 19th century. These spaces were Lobachevskian space and n-dimensional Euclidean space. The general concept of mathematical space was advanced in 1854 by B. Riemann. The process of generalizing, refining and concretely defining the concept followed various directions; for example, such concepts as vector space, Hilbert space, Riemannian space, function space, and topological space were developed.

In contemporary mathematics a space is defined as a set of objects, which are called the points of the space. These objects may be. for example, geometric figures, functions, or the states of a physical system. When we consider a set of objects as a space, we deal not with the individual properties of the objects but with only those properties of the set that are determined by relations that we wish to take into account or that we introduce by definition. These relations between points and various configurations, or sets of points, determine the geometry of the space. When the geometry is constructed axiomatically, the basic properties of these relations are expressed in the corresponding axioms.

Three examples of spaces are metric spaces, spaces of events, and phase spaces. In a metric space, the distance between points is defined. Thus, the functions f(x) continuous on an interval [a, b] form a metric space—whose points are the functions f (x)— when the distance between f1(x) and f2(x) is defined as the maximum of the absolute value of the difference between the two functions:

r = max ǀf1(x) –f2(x

The concept of space of events plays an important role in the geometric interpretation of the theory of relativity. Every event is characterized by its position—the coordinates x, y, and z— and the time t of its occurrence. The set of all possible events is thus a four-dimensional space, in which an event or point is defined by the four coordinates x, y, z, and t.

Phase spaces are studied in theoretical physics and mechanics. The phase space of a physical system is the set of all the possible states of the system. The states are the points of the space.

The spaces in these examples are of significance in the actual universe since the set of possible states of a physical system or the set of events with space and time coordinates has real existence. Consequently, we are dealing with forms of reality that, although not spatial in the ordinary sense, are spacelike in structure. The question of which mathematical space reflects most accurately the general properties of physical space is answered experimentally. Thus, it has been established that in describing physical space Euclidean geometry is not always sufficiently accurate, and Riemannian geometry is used in the present-day theory of physical space (seeRELATIVITY, THEORY OF). The concept of space in mathematics is also discussed in the articles GEOMETRY, MATHEMATICS, and MULTIDIMENSIONAL SPACE.

A. D. ALEKSANDROV

space

[spās]
(astronomy)
Specifically, the part of the universe lying outside the limits of the earth's atmosphere.
More generally, the volume in which all celestial bodies, including the earth, move.
(communications)
The open-circuit condition or the signal causing the open-circuit condition in telegraphic communication; the closed-circuit condition is called the mark.
(mathematics)
In context, usually a set with a topology on it or some other type of structure.

space

(character)
The space character, ASCII 32.

See octal forty.

space

(1) In digital electronics, a 0 bit. Contrast with mark.

(2) The trendy word that started in the 1990s for area or field of endeavor. For example, the phrase "we are involved in the videoconferencing space" refers simply to the videoconferencing industry. To many, this sounds more chic than using a word such as "field," "arena" or "industry."
References in classic literature ?
His first two shafts had packed themselves into the small space left at the bull's-eye; while his third had split down between them, taking half of each, and making all three appear from a distance, as one immense arrow.
You CAN move about in all directions of Space, but you cannot move about in Time.
Reason says: (1) space with all the forms of matter that give it visibility is infinite, and cannot be imagined otherwise.
There were sudden cries; and then long spaces of silence, such as there are in a cathedral when a boy's voice has ceased and the echo of it still seems to haunt about the remote places of the roof.
Padwar: 2 feathers; 2 spaces diagonal in any direction or combination.
Trade boxes belonging to the blacks had been irregularly piled so that a small space was left between two boxes in the lower tier.
In the little open space off the road they found the fallen horse.
This is the order of truth that obtains, not for the universe, but for the live things in it if they for a little space will endure ere they pass.
To the Boy:) Tell me, boy, do you assert that a double space comes from a double line?
We shall have to come then to my ideal of a cannon half a mile long; for you see 1,600,000 pounds will occupy a space of about
On the 30th of November, at the hour fixed upon, from the midst of an extraordinary crowd of spectators, the departure took place, and for the first time, three human beings quitted the terrestrial globe, and launched into inter-planetary space with almost a certainty of reaching their destination.
We see in these facts some deep organic bond, prevailing throughout space and time, over the same areas of land and water, and independent of their physical conditions.