英语词汇“simply connected”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

simply connected adj. Mathematics (originally) designating a surface in which any closed loop divides the surface into two regions of points such that any path between a point in one region and another in the second must cross the loop; (in later use more generally) designating a topological space (topological space at topological adj. 2) that is such that any two points can be joined by a path that lies entirely within the space, and any loop within the space can be contracted to a single point.Informally, simply connected topological spaces are those which do not have holes passing all the way through them.

ΘΚΠ

the world > relative properties > number > geometry > surface > [adverb]

simply connected1867

conformally1893

planimetrically1918

1867 P. G. Tait tr. H. von Helmholtz in London, Edinb. & Dublin Philos. Mag. 4th Ser. 33 486 If..in a simply-connected..space full of fluid there be a velocity-potential, the velocities of the fluid elements are equal to, and in the same direction as, the forces exerted on a magnetic particle in the interior of the space by a certain distribution of magnetic masses or electric currents on its surface.

1939 M. H. A. Newman Elem. Topol. Plane Sets of Points vi. 135 The complement of a simply connected domain in the open plane may have any number of components.

2009 M. Gessen Perfect Rigor iii. 35 It may or may not be simply connected, which is to say, it may or may not have holes.

单词	simply connected
释义	> as lemmas simply connected simply connected adj. Mathematics (originally) designating a surface in which any closed loop divides the surface into two regions of points such that any path between a point in one region and another in the second must cross the loop; (in later use more generally) designating a topological space (topological space at topological adj. 2) that is such that any two points can be joined by a path that lies entirely within the space, and any loop within the space can be contracted to a single point.Informally, simply connected topological spaces are those which do not have holes passing all the way through them. ΘΚΠ the world > relative properties > number > geometry > surface > [adverb] simply connected1867 conformally1893 planimetrically1918 1867 P. G. Tait tr. H. von Helmholtz in London, Edinb. & Dublin Philos. Mag. 4th Ser. 33 486 If..in a simply-connected..space full of fluid there be a velocity-potential, the velocities of the fluid elements are equal to, and in the same direction as, the forces exerted on a magnetic particle in the interior of the space by a certain distribution of magnetic masses or electric currents on its surface. 1939 M. H. A. Newman Elem. Topol. Plane Sets of Points vi. 135 The complement of a simply connected domain in the open plane may have any number of components. 2009 M. Gessen Perfect Rigor iii. 35 It may or may not be simply connected, which is to say, it may or may not have holes. extracted from simplyadv. < as lemmas
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