misspelledsearch.com:

distance learning college

information page

If you cannot find the information you are searching for on this page, we suggest searching Google with the correct spelling "distance learning college":

This article is about distance in the mathematical / physical sense. For other uses, see distance (disambiguation).

Distance is a numerical description of how far apart things lie. In physics or everyday discussion, distance may refer to a physical length, a period of time, or an estimation based on other criteria (e.g. “two counties over”). In mathematics, distance must meet more rigorous criteria.

Formal treatment

Mathematical analysis

General case

In mathematical analysis, distance is a function d: M x M -> R defined on a given set M which meets the following criteria:

• One can find the distance between any two points.
• That distance is a distinct real number.
• It is positive definite. d(x,y) ≥ 0, and d(x,y) = 0 if and only if x = y. (Distance is always positive, and it is zero precisely when measuring the distance from a point to itself).
• It is symmetric. d(x,y) = d(y,x). (The distance from x to y is the same as that from y to x).
• It satisfies the triangle inequality, d(x,z) ≤ d(x,y) + d(y,z). (The shortest distance between two points is on a straight line).

Such a function is known as a metric. Together with the set, it makes up a metric space. For example, one might define the distance between two real numbers x and y as d(x,y) = |x - y|.

Distances between sets

One can also find the distance between sets by finding the infimum of the distances between any two of their respective points. Alternatively, the distance between sets may indicate "how different they are", by taking the supremum over one set of the distance from a point in that set to the other set, and conversely, and taking the larger of the two values. This is called the Hausdorff metric.

Distance in Euclidean space

In the Euclidean space Rⁿ, the distance between two points is usually given by the Euclidean distance (2-norm distance). Other distances, based on other norms, are sometimes used instead.

For a point (x₁, x₂, ...,x_n) and a point (y₁, y₂, ...,y_n), the Minkowski distance of order p (p-norm distance) is defined as:

p need not be an integer, but it cannot be less than 1, because then the triangle inequality does not hold.

The 2-norm distance is the Euclidean distance, a generalization of the Pythagorean theorem to more than two coordinates. It is what would be obtained if the distance between two points were measured with a ruler: the "intuitive" idea of distance.

The 1-norm distance is more colourfully called the taxicab norm or Manhattan distance, because it is the distance a car would drive in a city laid out in square blocks (if there are no one-way streets).

The infinity norm distance is also called Chebyshev distance. In 2D it represents the distance kings and queens must travel between two squares on a chessboard.

Also, if you measure the strength of each of the n links in a chain (where larger numbers mean weaker links), then because a chain is only as strong as its weakest link, the strength of the chain will be the infinity-norm distance from the list of measurements to the origin.

The p-norm is rarely used for values of p other than 1, 2, and infinity, but see super ellipse.

In physical space the Euclidean distance is in a way the most natural one, because in this case the length of a rigid body does not change with rotation.

Geometry

In neutral geometry, the distance between two points is the length of the line segment between them.

In algebraic geometry, one can find the distance between two points of the xy-plane using the distance formula. The distance between (x₁,y₁) and (x₂,y₂) is given by

Similarly, given points (x₁,y₁,z₁) and (x₂,y₂,z₂) in three-space, the distance between them is

In the study of complicated geometries, we call this (most common) type of distance Euclidean distance, as it is derived from the Pythagorean theorem, which does not hold in Non-Euclidean geometries. This distance formula can also be expanded into the arc-length formula.

Physics

As opposed to a position coordinate, a distance can not be negative. Distance is a scalar quantity, containing only a magnitude, whereas displacement is an equivalent vector quantity containing both magnitude and direction.

The distance covered by a vehicle (often recorded by an odometer), person, animal, object, etc. should be distinguished from the distance from starting point to end point, even if latter is taken to mean e.g. the shortest distance along the road, because a detour could be made, and the end point can even coincide with the starting point.

Other uses

• Mahalanobis distance is used in statistics.
• Hamming distance is used in coding theory.
• Levenshtein distance

Informal treatment

In day-to-day discussion, distance often refers to the length of a straight line between objects. For locations on Earth, usually the distance along the surface is meant: either "as the crow flies" (along a great circle) or by road, railroad, etc. Distance is sometimes expressed in terms of the time to cover it, for example walking or by car.

Sometimes, these informal treatments do not meet the criterion for a metric. For example, if one measures distance by car and there are one-way streets, then that distance probably won't be symmetric. Measuring distance by time might also not be symmetric, as a road may be more crowded in one direction than in the other, for instance, and a ship can go faster downstream than up. Even in a given direction, though, time might not give a distinct distance. Downtown might be an hour from home in good traffic and five hours in bad, and it can always increase by going slower.

See also

• Taxicab geometry
• astronomical units of length
• cosmic distance ladder
• comoving distance
• distance geometry
• distance (graph theory)
• distance-based road exit numbers
• Distance Measuring Equipment (DME)
• great-circle distance
• length
• milestone
• Metric (mathematics)
• Metric space
• orders of magnitude (length)
• distance matrix

External links

• Length Unit Converter - convert between various units of length, such as meter, mile, yard, and so on

• Interactive Length Conversion Table - convert selected unit to all other units of length

This distance learning college index site has been developed to help wayward users find the information they are looking for, no matter how they are mistakenly spelled or mistyped. This site is designed to help users find distance learning college information for the following query variants:

distance learning	distance learning cllege	distance learning collge	distance learning collee
distance learning corlege	distance learning corelge	distance learning corege	distance learning colelge
distance learning colege	distance learning coridge	distance learning collidge	distance learning colidge
distance learning corlidge	distance learning colleg	distance learning colelg	distance learning coleg
distance learning corleg	distance learning corelg	distance learning coreg	distance learning coiege
distance learning colleeg	distance learning collgee	distance learning clolege	distance learning ocllege
distance college	distance learing college	distance learnng college	distance lurning college
distance learnig college	distance lurnint college	distance rurning college	distance rurnint college
distance larning college	distance larnint college	distance lalning college	distance lalnint college
distance leernint college	distance elrning college	distance realnint college	distance reernint college
distance lerening college	distance ellning college	distance rerening college	distance lerenint college
distance elerning college	distance rerenint college	distance rearning college	distance elarning college
distance elelning college	distance lelning college	distance lealning college	distance rarning college
distance lerning college	distance elrening college	distance leelning college	distance elalning college
distance rerning college	distance leerning college	distance elrnint college	distance lelnint college
distance lealnint college	distance reerning college	distance learnint college	distance elernint college
distance leelnint college	distance elalnint college	distance rearnint college	distance elarnint college
distance elrenint college	distance relning college	distance realning college	distance rarnint college
distance lernint college	distance reelning college	distance ralning college	distance rernint college
distance learneignt college	distance lalneigng college	distance elerniegng college	distance lialning college
distance rerniegng college	distance larniegnt college	distance lelniegng college	distance elrneigng college
distance rarneigng college	distance lealneignt college	distance lerneigng college	distance elreniegng college
distance liarnint college	distance reerniegng college	distance lerniegnt college	distance leerniegng college
distance elerneigng college	distance rerneigng college	distance larneignt college	distance lelneigng college
distance elarniegnt college	distance lialnint college	distance riarniegng college	distance leerniegnt college
distance leelniegng college	distance elreneigng college	distance reerneigng college	distance lerneignt college
distance leerneigng college	distance riarning college	distance rereniegng college	distance liarniegnt college
distance liarniegng college	distance elarneignt college	distance riarneigng college	distance leerneignt college
distance leelneigng college	distance rialning college	distance rurniegng college	distance lereniegnt college
distance lialniegng college	distance learniegng college	distance rereneigng college	distance liarneignt college
distance liarneigng college	distance riarnint college	distance rearniegnt college	distance lurniegnt college
distance lereniegng college	distance lealniegng college	distance rurneigng college	distance lereneignt college
distance lialneigng college	distance learneigng college	distance elarniegng college	distance rearniegng college
distance lurniegng college	distance larniegng college	distance rearneignt college	distance lurneignt college
distance lereneigng college	distance lealneigng college	distance elalniegng college	distance realniegng college
distance learniegnt college	distance lalniegng college	distance elarneigng college	distance rearneigng college
distance lurneigng college	distance larneigng college	distance elrniegng college	distance liarning college
distance rarniegng college	distance lealniegnt college	distance lerniegng college	distance elalneigng college
distance realneigng college	distance laning college	distance lanint college	distance leaing college
distance leaning college	distance leanng college	distance leanig college	distance elening college
distance elenint college	distance rianiegng college	distance leaniegnt college	distance reaneignt college
distance laneignt college	distance lianint college	distance reaniegnt college	distance laniegnt college
distance elaneigng college	distance leneignt college	distance rianing college	distance elaniegng college
distance leniegnt college	distance eleneigng college	distance leeneignt college	distance rianint college
distance eleniegng college	distance leeniegnt college	distance elaneignt college	distance lianeignt college
distance leaneigng college	distance elaniegnt college	distance lianiegnt college	distance leaniegng college
distance reaneigng college	distance laneigng college	distance reaniegng college	distance laniegng college
distance raneigng college	distance leneigng college	distance raniegng college	distance leniegng college
distance reneigng college	distance leeneigng college	distance reniegng college	distance leeniegng college
distance reeneigng college	distance lianeigng college	distance reeniegng college	distance lianiegng college
distance rianeigng college	distance leaneignt college	distance lianing college	distance renint college
distance elanint college	distance reenint college	distance lenint college	distance leenint college
distance reaning college	distance raning college	distance rening college	distance elaning college
distance reening college	distance lening college	distance reanint college	distance leening college
distance ranint college	distance leanint college	distance earnng college	distance earning college
distance earnig college	distance urning college	distance urnint college	distance arning college
distance arnint college	distance alning college	distance alnint college	distance eaning college
distance earing college	distance elning college	distance eelning college	distance elnint college
distance eelnint college	distance ealning college	distance ealnint college	distance erning college
distance eerning college	distance earnint college	distance ernint college	distance eernint college
distance erening college	distance erenint college	distance eerniegnt college	distance eelniegng college
distance ereneignt college	distance ialneigng college	distance earneigng college	distance iarniegnt college
distance iarniegng college	distance urneignt college	distance ereneigng college	distance ealneigng college
distance ereniegnt college	distance ialniegng college	distance earniegng college	distance urneigng college
distance arneigng college	distance urniegnt college	distance ereniegng college	distance ealniegng college
distance earneignt college	distance alneigng college	distance urniegng college	distance arniegng college
distance ealneignt college	distance erneigng college	distance earniegnt college	distance alniegng college
distance arneignt college	distance elneigng college	distance iarning college	distance ealniegnt college
distance erniegng college	distance erneignt college	distance eerneigng college	distance ialning college
distance arniegnt college	distance elniegng college	distance eerneignt college	distance eelneigng college
distance iarnint college	distance erniegnt college	distance eerniegng college	distance iarneignt college
distance iarneigng college	distance ialnint college	distance realnin college	distance elalnan college
distance lernin college	distance rearnan college	distance learin college	distance lalnan college
distance riarniegn college	distance rurnen college	distance liarniegn college	distance lerenen college
distance elreneign college	distance lealnen college	distance rerneign college	distance rurnin college
distance leerneign college	distance rarnin college	distance elrnan college	distance lelnin college
distance realnan college	distance learnn college	distance lernan college	distance rereniegn college
distance elarnen college	distance lialniegn college	distance lurnen college	distance learniegn college
distance larnen college	distance reerneign college	distance elarnin college	distance leelneign college
distance ralnin college	distance elernan college	distance leernin college	distance rarnan college
distance lelnan college	distance rurniegn college	distance elalnen college	distance lereniegn college
distance rearnen college	distance lealniegn college	distance lalnen college	distance riarneign college
distance elalnin college	distance liarneign college	distance rernin college	distance elrenan college
distance leelnin college	distance rernan college	distance leernan college	distance elarniegn college
distance elrnen college	distance lurniegn college	distance realnen college	distance larniegn college
distance lernen college	distance rereneign college	distance elrnin college	distance lialneign college
distance relnin college	distance learneign college	distance liarnin college	distance reernan college
distance leelnan college	distance elalniegn college	distance elernen college	distance rearniegn college
distance rarnen college	distance lalniegn college	distance lelnen college	distance rurneign college
distance ellnin college	distance lereneign college	distance reernin college	distance lealneign college
distance lialnin college	distance riarnan college	distance learnin college	distance liarnan college
distance elrniegn college	distance elrenen college	distance realniegn college	distance rernen college
distance lerniegn college	distance leernen college	distance elarneign college	distance elernin college
distance lurneign college	distance reelnin college	distance larneign college	distance lerenin college
distance rerenan college	distance lealnin college	distance lialnan college	distance elerniegn college
distance learnan college	distance rarniegn college	distance reernen college	distance lelniegn college
distance leelnen college	distance elalneign college	distance elelnin college	distance rearneign college
distance riarnin college	distance lalneign college	distance lurnin college	distance rurnan college
distance larnin college	distance lerenan college	distance elreniegn college	distance lealnan college
distance rerniegn college	distance riarnen college	distance leerniegn college	distance liarnen college
distance elrneign college	distance elrenin college	distance realneign college	distance rialnin college
distance lerneign college	distance rearnin college	distance elarnan college	distance lalnin college
distance lurnan college	distance leanin college	distance larnan college	distance reerniegn college
distance rerenen college	distance leelniegn college	distance lialnen college	distance elerneign college
distance learnen college	distance rarneign college	distance rerenin college	distance lelneign college
distance iearning college	distance learnlng college	distance learming college	distance learnign college
distance learnnig college	distance learinng college	distance leanring college	distance leraning college
distance laerning college	learning college	distnce learning college	distace learning college
distane learning college	dstance learning college	ditance learning college	disance learning college
distenc learning college	dystenc learning college	dystance learning college	dystence learning college
distanse learning college	distense learning college	dystanse learning college	dystense learning college
distence learning college	distanc learning college	dystanc learning college	dstanc learning college
ditanc learning college	disanc learning college	distnc learning college	distac learning college
dlstance learning college	distamce learning college	distanec learning college	distacne learning college
distnace learning college	disatnce learning college	ditsance learning college	dsitance learning college
idstance learning college	istance learning college

If you would like to add or correct the content of this site, or if you are interested in supporting the efforts of misspelledsearch.com by placing your product information on these distance learning college pages, please contact mistype@gmail.com for details.