Hausdorff distance - traduzione in Inglese
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Hausdorff distance - traduzione in Inglese

MATHEMATICAL DISTANCE BETWEEN TWO SUBSETS OF A METRIC SPACE
Hausdorff metric; Pompeiu-Hausdorff metric; Pompeiu–Hausdorff distance; Pompeiu-Hausdorff distance; Pompeiu–Hausdorff metric; Hausdorf distance; Hausdorff semi-metric; Hausdorff convergence

Hausdorff distance         
(n.) = distancia de Hausdorff
Ex: The proposed similarity measure, based on a fuzzy Hausdorff distance, estimates the mismatch between 2 possibility distributions.
distance         
  • The distances between these three sets do not satisfy the triangle inequality:<math display="block">d(A,B)>d(A,C)+d(C,B)</math>
  • Distance along a path compared with displacement.  The Euclidean distance is the length of the displacement vector.
  • Airline routes between [[Los Angeles]] and [[Tokyo]] approximately follow a direct [[great circle]] route (top), but use the [[jet stream]] (bottom) when heading eastwards. The shortest route appears as a curve rather than a straight line because the [[map projection]] does not scale all distances equally compared to the real spherical surface of the Earth.
  • [[Manhattan distance]] on a grid
LENGTH OF STRAIGHT LINE THAT CONNECTS TWO POINTS IN A MEASURABLE SPACE OR IN AN OBSERVABLE PHYSICAL SPACE
Distances; Distance Formula; Distance in time; Time distance; Directed distance; Distance traveled; Oriented distance; Distance (mathematics); Distance between sets
distancia
distanciar
distance learning         
  • [[William Rainey Harper]] encouraged the development of external university courses at the new University of Chicago in the 1890s.
  • ''The London University'' in 1827, drawn by [[Thomas Hosmer Shepherd]]
  • Walton Hall]], renovated in 1970 to act as the headquarters of the newly established [[Open University]] (artist: Hilary French)
EDUCATION VIA COMMUNICATION TECHNOLOGY WITH LITTLE OR NO FACE-TO-FACE TEACHING
Correspondence school; Distance learning; Online education; Distance Learning; Correspondence course; Online Master's Program; Internet learning; Distance Education; Correspondence education; Correspondence Education; Online college; Correspondence courses; Distance-learning; Distance university; Distance Learning Education and Degrees; Online learning university; Online College Courses; Open and Distance Learning; Open and distance learning; Virtual classroom; Online colleges; Teleteaching; Remote learning; Online universities; Tuition outsourcing; Distance course; Open and distance education; Virtual classrooms; Home study course; Online distant learning; Online class; Distance classroom; Distant education; Correspondence learning; Generations of Distance Education: Technologies, Pedagogies, and Organizations; Distance e-Learning (Philippines); Distance Classroom; Virtual college; Mail-order course; Mail order course; Extramural education; Correspondence class; Correspondence classes; History of distance education; Criticism of distance education
Aprendizaje de lejos, estudios desde la casa, sistema de estudios no dentro del aula escolar (por medio del correo, por medio del internet y etc.)

Definizione

Distance
·noun Remoteness of place; a remote place.
II. Distance ·vt To place at a distance or remotely.
III. Distance ·noun Space between two antagonists in fencing.
IV. Distance ·noun Ideal disjunction; discrepancy; contrariety.
V. Distance ·noun A space marked out in the last part of a race course.
VI. Distance ·vt To cause to appear as if at a distance; to make seem remote.
VII. Distance ·noun The interval between two notes; as, the distance of a fourth or seventh.
VIII. Distance ·noun Length or interval of time; period, past or future, between two eras or events.
IX. Distance ·noun The remoteness or reserve which respect requires; hence, respect; ceremoniousness.
X. Distance ·noun A withholding of intimacy; alienation; coldness; disagreement; variance; restraint; reserve.
XI. Distance ·noun Remoteness in succession or relation; as, the distance between a descendant and his ancestor.
XII. Distance ·vt To outstrip by as much as a distance (see Distance, ·noun, 3); to leave far behind; to surpass greatly.
XIII. Distance ·noun The part of a picture which contains the representation of those objects which are the farthest away, ·esp. in a landscape.
XIV. Distance ·noun Relative space, between troops in ranks, measured from front to rear;
- contrasted with interval, which is measured from right to left.
XV. Distance ·noun The space between two objects; the length of a line, especially the shortest line joining two points or things that are separate; measure of separation in place.

Wikipedia

Hausdorff distance

In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from each other. It turns the set of non-empty compact subsets of a metric space into a metric space in its own right. It is named after Felix Hausdorff and Dimitrie Pompeiu.

Informally, two sets are close in the Hausdorff distance if every point of either set is close to some point of the other set. The Hausdorff distance is the longest distance you can be forced to travel by an adversary who chooses a point in one of the two sets, from where you then must travel to the other set. In other words, it is the greatest of all the distances from a point in one set to the closest point in the other set.

This distance was first introduced by Hausdorff in his book Grundzüge der Mengenlehre, first published in 1914, although a very close relative appeared in the doctoral thesis of Maurice Fréchet in 1906, in his study of the space of all continuous curves from [ 0 , 1 ] R 3 {\displaystyle [0,1]\to \mathbb {R} ^{3}} .