Euclidean distance - определение. Что такое Euclidean distance
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Что (кто) такое Euclidean distance - определение

Найдено результатов: 794
Euclidean distance         
  • Deriving the <math>n</math>-dimensional Euclidean distance formula by repeatedly applying the Pythagorean theorem
CONVENTIONAL DISTANCE IN MATHEMATICS AND PHYSICS
Distance formula; Euclidean metric; Pythagorean metric; Geometric distance; Euclidean Distance; Euclidian distance; Pythagorean distance; Euclidean measure; Squared Euclidean distance; Distance formula (coordinate geometry); Distance Formula (coordinate geometry); Distance in Euclidean space
In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points.
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
Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.
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
·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.
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
¦ noun
1. the length of the space between two points: I cycled the short distance home.
2. the condition of being remote.
a far-off point.
3. the full length of a race or other contest.
Brit. Horse Racing a space of more than twenty lengths between two finishers in a race.
(the distance) Brit. Horse Racing a length of 240 yards from the winning post on a racecourse.
4. an interval of time.
5. aloofness or reserve.
¦ verb make distant.
?(often distance oneself from) dissociate or separate.
Phrases
go the distance last or continue to participate until the scheduled end of a contest.
keep one's distance stay far away.
?maintain one's reserve.
Origin
ME (in the sense 'discord, debate'): from OFr. or from L. distantia, from distant-, distare (see distant).
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
I
n.
1) to cover; run; travel; walk a distance
2) to keep a distance (to keep a safe distance between cars)
3) to close the distance between
4) a discreet; good, great, long; safe; short distance (we traveled a short distance)
5) (a) shouting; striking; walking distance (it's within easy walking distance)
6) (a) braking, stopping distance
7) a distance between; from; to (the distance between New York and London is three thousand miles; the distance from Philadelphia to Chicago is less than eight hundred miles)
8) at a distance (at a discreet distance; we spotted them at a distance of two hundred yards)
9) from a distance (I spotted her from a distance)
10) in the distance (the city was visible in the distance) (misc.)
11) to keep one's distance ('to not allow familiarity'); a short distance away; quite a distance
II
v. (D; refl.) to distance from
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
(distances, distancing, distanced)
Frequency: The word is one of the 1500 most common words in English.
1.
The distance between two points or places is the amount of space between them.
...the distance between the island and the nearby shore...
Everything is within walking distance...
N-VAR: with supp, oft N between pl-n
2.
When two things are very far apart, you talk about the distance between them.
The distance wouldn't be a problem.
N-UNCOUNT
3.
Distance learning or distance education involves studying at home and sending your work to a college or university, rather than attending the college or university in person.
I'm doing a theology degree by distance learning.
ADJ: ADJ n
4.
When you want to emphasize that two people or things do not have a close relationship or are not the same, you can refer to the distance between them.
There was a vast distance between psychological clues and concrete proof...
N-UNCOUNT: usu N between pl-n [emphasis]
5.
If you can see something in the distance, you can see it, far away from you.
We suddenly saw her in the distance...
N-SING: in/into the N
6.
Distance is coolness or unfriendliness in the way that someone behaves towards you. (FORMAL)
There were periods of sulking, of pronounced distance, of coldness.
? closeness
N-UNCOUNT: usu with supp
7.
If you distance yourself from a person or thing, or if something distances you from them, you feel less friendly or positive towards them, or become less involved with them.
The author distanced himself from some of the comments in his book...
Television may actually be distancing the public from the war.
VERB: V pron-refl from n, V n from n
distanced
Clough felt he'd become too distanced from his fans.
ADJ: v-link ADJ, usu ADJ from n
8.
If you are at a distance from something, or if you see it or remember it from a distance, you are a long way away from it in space or time.
The only way I can cope with my mother is at a distance...
Now I can look back on the whole tragedy from a distance of forty years.
PHRASE: PHR after v, v-link PHR
9.
If you keep your distance from someone or something or keep them at a distance, you do not become involved with them.
Jay had always tended to keep his girlfriends at a distance.
PHRASE: V inflects
10.
If you keep your distance from someone or something, you do not get physically close to them. (OLD-FASHIONED)
He walked towards the doorway, careful to keep his distance.
PHRASE: V inflects
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
I. n.
1.
Remoteness.
2.
Degree of remoteness or removal.
3.
Remote region, distant quarter.
4.
Interval, space, space intervening.
5.
Reserve, coldness, stiffness, distant behavior, frigidity.
II. v. a.
Outdo, surpass, excel, outstrip, leave behind.
Euclidean relation         
  • Right Euclidean property: solid and dashed arrows indicate antecedents and consequents, respectively.
  • Schematized right Euclidean relation according to property 10. Deeply-colored squares indicate the equivalence classes of ''R{{prime}}''. Pale-colored rectangles indicate possible relationships of elements in ''X''\ran(''R''). In these rectangles, relationships may, or may not, hold.
RELATION ∼ SUCH THAT, FOR EVERY A, B, C, IF A∼B AND A∼C, THEN B∼C
Euclidean relationship
In mathematics, Euclidean relations are a class of binary relations that formalize "Axiom 1" in Euclid's Elements: "Magnitudes which are equal to the same are equal to each other."
Distance transform         
A distance transform, also known as distance map or distance field, is a derived representation of a digital image. The choice of the term depends on the point of view on the object in question: whether the initial image is transformed into another representation, or it is simply endowed with an additional map or field.
Euclidean norm         
GENERALIZATION OF EUCLIDEAN GEOMETRY TO HIGHER-DIMENSIONAL VECTOR SPACES
Euclidean norm; Euclidian space; Euclidean spaces; N-dimensional Euclidean space; Euclidean vector space; Euclidean space as a manifold; Euclidean Space; Euclidean manifold; Euclidean length; Finite dimensional Euclidean space; Finite-dimensional real vector space; Euclidean n-space
<mathematics> The most common norm, calculated by summing the squares of all coordinates and taking the square root. This is the essence of Pythagoras's theorem. In the infinite-dimensional case, the sum is infinite or is replaced with an integral when the number of dimensions is uncountable. (2004-02-15)