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Euclidian space

Space Space (sp[=a]s), n. [OE. space, F. espace, from L. spatium space; cf. Gr. spa^n to draw, to tear; perh. akin to E. span. Cf. Expatiate.] 1. Extension, considered independently of anything which it may contain; that which makes extended objects conceivable and possible. Pure space is capable neither of resistance nor motion. --Locke. 2. Place, having more or less extension; room. They gave him chase, and hunted him as hare; Long had he no space to dwell [in]. --R. of Brunne. While I have time and space. --Chaucer. 3. A quantity or portion of extension; distance from one thing to another; an interval between any two or more objects; as, the space between two stars or two hills; the sound was heard for the space of a mile. Put a space betwixt drove and drove. --Gen. xxxii. 16. 4. Quantity of time; an interval between two points of time; duration; time. ``Grace God gave him here, this land to keep long space.' --R. of brunne. Nine times the space that measures day and night. --Milton. God may defer his judgments for a time, and give a people a longer space of repentance. --Tillotson. 5. A short time; a while. [R.] ``To stay your deadly strife a space.' --Spenser. 6. Walk; track; path; course. [Obs.] This ilke [same] monk let old things pace, And held after the new world the space. --Chaucer. 7. (print.) (a) A small piece of metal cast lower than a face type, so as not to receive the ink in printing, -- used to separate words or letters. (b) The distance or interval between words or letters in the lines, or between lines, as in books. Note: Spaces are of different thicknesses to enable the compositor to arrange the words at equal distances from each other in the same line. 8. (Mus.) One of the intervals, or open places, between the lines of the staff. Absolute space, Euclidian space, etc. See under Absolute, Euclidian, etc. Space line (Print.), a thin piece of metal used by printers to open the lines of type to a regular distance from each other, and for other purposes; a lead. --Hansard. Space rule (Print.), a fine, thin, short metal rule of the same height as the type, used in printing short lines in tabular matter.

Space Space (sp[=a]s), n. [OE. space, F. espace, from L. spatium space; cf. Gr. spa^n to draw, to tear; perh. akin to E. span. Cf. Expatiate.] 1. Extension, considered independently of anything which it may contain; that which makes extended objects conceivable and possible. Pure space is capable neither of resistance nor motion. --Locke. 2. Place, having more or less extension; room. They gave him chase, and hunted him as hare; Long had he no space to dwell [in]. --R. of Brunne. While I have time and space. --Chaucer. 3. A quantity or portion of extension; distance from one thing to another; an interval between any two or more objects; as, the space between two stars or two hills; the sound was heard for the space of a mile. Put a space betwixt drove and drove. --Gen. xxxii. 16. 4. Quantity of time; an interval between two points of time; duration; time. ``Grace God gave him here, this land to keep long space.' --R. of brunne. Nine times the space that measures day and night. --Milton. God may defer his judgments for a time, and give a people a longer space of repentance. --Tillotson. 5. A short time; a while. [R.] ``To stay your deadly strife a space.' --Spenser. 6. Walk; track; path; course. [Obs.] This ilke [same] monk let old things pace, And held after the new world the space. --Chaucer. 7. (print.) (a) A small piece of metal cast lower than a face type, so as not to receive the ink in printing, -- used to separate words or letters. (b) The distance or interval between words or letters in the lines, or between lines, as in books. Note: Spaces are of different thicknesses to enable the compositor to arrange the words at equal distances from each other in the same line. 8. (Mus.) One of the intervals, or open places, between the lines of the staff. Absolute space, Euclidian space, etc. See under Absolute, Euclidian, etc. Space line (Print.), a thin piece of metal used by printers to open the lines of type to a regular distance from each other, and for other purposes; a lead. --Hansard. Space rule (Print.), a fine, thin, short metal rule of the same height as the type, used in printing short lines in tabular matter.

Euclidian space

Euclidian Eu*clid"i*an, n. Related to Euclid, or to the geometry of Euclid. Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space.

Euclidian Eu*clid"i*an, n. Related to Euclid, or to the geometry of Euclid. Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space.

- Euclidean space is the fundamental space of classical geometry. Originally, it was the three-dimensional space of Euclidean geometry, but in modern mathematics...

- portion of hyperbolic space and in a second paper in the same year, defined the Klein model, which models the entirety of hyperbolic space, and used this to...

- Einstein's notion of "field space" and mathematics from modern topology theory. It was also based on his idea that Euclidian space is hardly experienced by...

- less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Gr**** mathematician. It is the name of: Euclidean space, the two-dimensional...

- } In this example, our original Hilbert space is actually the 3-dimensional Euclidian space R 3 {\displaystyle \mathbb {R} ^{3}} equipped with...

- In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points. It can be calculated...

- Minkowski space is d s m 2 = d x 2 − d y 2 . {\displaystyle ds_{m}^{2}=dx^{2}-dy^{2}.} Consider a curve imbedded in two dimensional Euclidian space, x = f...

- Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal...

- Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only over short distances...

- more generalized concept of vectors defined simply as elements of a vector space. Vectors play an important role in physics: the velocity and acceleration...

- portion of hyperbolic space and in a second paper in the same year, defined the Klein model, which models the entirety of hyperbolic space, and used this to...

- Einstein's notion of "field space" and mathematics from modern topology theory. It was also based on his idea that Euclidian space is hardly experienced by...

- less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Gr**** mathematician. It is the name of: Euclidean space, the two-dimensional...

- } In this example, our original Hilbert space is actually the 3-dimensional Euclidian space R 3 {\displaystyle \mathbb {R} ^{3}} equipped with...

- In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points. It can be calculated...

- Minkowski space is d s m 2 = d x 2 − d y 2 . {\displaystyle ds_{m}^{2}=dx^{2}-dy^{2}.} Consider a curve imbedded in two dimensional Euclidian space, x = f...

- Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal...

- Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only over short distances...

- more generalized concept of vectors defined simply as elements of a vector space. Vectors play an important role in physics: the velocity and acceleration...

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