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Distance is a numerical description of how far apart objects are. 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.

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The Distance Blog

The Distance Blog. A blog about Distance Learning and ways your ... GST Distance Learning Database. November (9) Blog Updates by Email. Regional DL/IVC meeting ...thedistanceblog.blogspot.com/

The Distance

Life's been crazy, and I owe you all a strong apology for not updating this here ... Jason listens to The Distance... so should you. Or else. Time. Artist. Track ...www.thedistance.info/

Mr. Long Distance Blog

International long distance resources and cheap long distance information. ... With this option, prepaid long distance can now be purchase on the Tel3Advantage ...mrlongdistance.com/blog/

Jamie's Distance Learning Blog

Free Distance Learning Newsletter! Sign Up. Discuss in my Forum. Jamie's Distance Learning Blog ... About.com Distance Learning: Most Popular Articles ...distancelearn.about.com/b/

Critical Distance Weblog

Check out his various blogs like whiteafrican.com and afrigadget.com. ... avalanche of applications for mobile and health), and then head over to his blog. ...www.criticaldistance.blogspot.com/

Wikipedia About Distance

Distance is a numerical description of how far apart objects are. 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.

In most cases, "distance from A to B" is interchangeable with "distance between B and A".

Geometry

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

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

d=\sqrt{(\Delta x)^2+(\Delta y)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.\,

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

d=\sqrt{(\Delta x)^2+(\Delta y)^2+(\Delta z)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}.

Which is easily proven by constructing a right triangle with a leg on the hypotenuse of another (with the other leg orthogonal to the plane that contains the 1st triangle) and applying the Pythagorean theorem.

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.

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, ...,xn) and a point (y1, y2, ...,yn), the Minkowski distance of order p (p-norm distance) is defined as: ^n \left| x_i - y_i \right| |- | 2-norm distance || = \left( \sum_{i=1}^n \left| x_i - y_i \right|^2 \right)^{1/2} |- | p-norm distance || = \left( \sum_{i=1}^n \left| x_i - y_i \right|^p \right)^{1/p} |- | infinity norm distance || = \lim_{p \to \infty} \left( \sum_{i=1}^n \left| x_i - y_i \right|^p \right)^{1/p} |- | || = \max \left(|x_1 - y_1|, |x_2 - y_2|, \ldots, |x_n - y_n| \right). |}

p need not be an integer, but it cannot be less than 1, because otherwise 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.

Search results for Distance

distance definition | Dictionary.com

Definition of distance at Dictionary.com with free online dictionary, ... distance between planets. distance equation. point to point mileage calculator ...dictionary.reference.com/browse/distance

Cosmic distance ladder - Wikipedia, the free encyclopedia

Light Purple boxes: Geometric distance technique. ... 4.3.3 Novae in distance determinations. 4.4 Globular cluster luminosity function ...en.wikipedia.org/wiki/Stellar_distance

Northwestern College Center for Distance Education

Christ-centered college education.distance.nwc.edu/

ND Center for Distance Education

ND Center for Distance Education offers accredited online high school classes & online middle school classes. Easy enrollment.www.ndcde.org/

Compare Local and Long Distance Rates

Compare local and long distance phone plans. View available rates and plans and sign up online.www.e-wisdom.com/long_distance/local.html

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News about Distance

CC goes distance to stop Yanks' skid

Major League BaseballSabathia goes distance for winhttp://mlb.mlb.com/news/gameday_recap.jsp?ymd=20090508&conte...

Scolarici leads O'Fallon distance crew

Suburban JournalsMichael Scolarici is already one of the top athletes on the O'Fallon boys track team, but coach Ron Koch believes the sophomore distance runner is just starting to realize his potential.http://suburbanjournals.stltoday.com/articles/2009/05/09/stc...

Wendroth, Dobbins duel in distance

Post-BulletinRochester Mayo junior Keaton Wendroth has huge respect for John Marshall senior Nate Dobbins. Both are standout long-distance runners.http://www.postbulletin.com/newsmanager/templates/localnews_...

Titans Kaul is going the distance

The Oshkosh NorthwesternBStory, sound slide:/b Now in the final year of a collegiate career in which hes won 11 All-American awards and five national championships, set several school records and earned the title of NCAA Division III mens indoor track athlete of the year, UWOs Willy Kaul is working to get even faster in the hopes of making an Olympic trials team.http://www.thenorthwestern.com/article/20090510/OSH02/905090...

Distance runners lift Colts to OAA Red title

The Oakland PressROCHESTER — With his top sprinter out with an injury, Troy girls track coach Matt Richardson was expecting the worse.http://theoaklandpress.com/articles/2009/05/10/sports/doc4a0...

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Husband suspects daughter isn't his

Minneapolis Star TribuneCarolyn Hax: Waging war with flirty friend is futile Carolyn Hax: 'Toxicity' not the only reason friendships die No interest in mom who neglected her Carolyn Hax: Distance is wearing her boyfriend down Nix mixed signals to guy who won't let go Dear ... http://www.startribune.com/lifestyle/family/44612407.html?el...

Weather puts wet blanket on California wildfire

San Francisco GateBut a short distance away up a narrow canyon road, homes were gutted and cars were burned-out wrecks. The fire erupted Tuesday just above Santa Barbara on the face of the steep Santa Ynez Mountains. The fire was driven into outlying residential areas ... http://www.sfgate.com/cgi-bin/article.cgi?f=/n/a/2009/05/10/...

Amid economic rubble, Shangkong will rise

Financial TimesThe two cities are 750 miles apart, not an insurmountable distance in this age of rapid transit and internet communications. The connections are already being made: Beijing has just declared that Shanghai will be a major global financial centre in ... http://www.ft.com/cms/s/0/dfbd55ea-3d8c-11de-a85e-00144feabd...

Travis Said to Prepare 300 Million-Pound Share Sale (Update1)

BloombergChief Executive Officer Geoff Cooper is taking advantage of a doubling in Travis’s share price since February’s end to take the company a safer distance from banking covenants preventing debt from exceeding 3.5 times earnings. The supplier of ... http://www.bloomberg.com/apps/news?pid=20601087&sid=aicRHlU8...

Japan's Ryosuke Irie sets backstroke world record

CNN Sports IllustratedLochte set the previous mark of 1:53.94 while winning the gold medal over the distance at last year's Beijing Olympics. Irie wore an Arena brand swimsuit, which is undergoing independent testing by world governing body FINA, which still has to verify ... http://sportsillustrated.cnn.com/2009/more/05/10/backstroke....

Search results for Distance

distance - Definition of distance at YourDictionary.com

noun. the fact or condition of being separated or removed in space or time; remoteness; a gap, space, or interval between two points, lines, objects, etc.http://www.yourdictionary.com/distance

Distance (Hikaru Utada album) - Wikipedia, the free encyclopedia

Distance is the second album released by Japanese pop singer Hikaru Utada, released on March 28, 2001 in direct "competition" with A Best by Ayumi Hamasaki.(see 2001 in music).http://en.wikipedia.org/wiki/Distance_%28Utada_Hikaru_album%...

distance - definition of distance in the Medical dictionary - by the ...

distance /dis·tance/ (dis´tins) the measure of space intervening between two objects or two points of reference. focal distance that from the focal point to the optical center of ... http://medical-dictionary.thefreedictionary.com/distance

Distance -- from Wolfram MathWorld

The distance between two points is the length of the path connecting them. In the plane, the distance between points (x_1,y_1) and (x_2,y_2) is given by the Pythagorean theorem, d ... http://mathworld.wolfram.com/Distance.html

distance - Wiktionary

Definition from Wiktionary, a free dictionaryhttp://en.wiktionary.org/wiki/distance

Wikipedia results for Distance

Distance - Wikipedia, the free encyclopedia

Distance is a numerical description of how far apart objects are. In physics or everyday discussion, distance may refer to a physical length, a period of time, or an estimation ... http://en.wikipedia.org/wiki/Distance

Distance (Hikaru Utada album) - Wikipedia, the free encyclopedia

Distance is the second album released by Japanese pop singer Hikaru Utada, released on March 28, 2001 in direct "competition" with A Best by Ayumi Hamasaki.(see 2001 in music).http://en.wikipedia.org/wiki/Distance_%28Utada_Hikaru_album%...

Distance education - Wikipedia, the free encyclopedia

Distance education, or distance learning, is a field of education that focuses on the pedagogy and andragogy, technology, and instructional systems design that aim to deliver ... http://en.wikipedia.org/wiki/Distance_university

Cosmic distance ladder - Wikipedia, the free encyclopedia

The cosmic distance ladder (also known as the Extragalactic Distance Scale) is the succession of methods by which astronomers determine the distances to celestial objects.http://en.wikipedia.org/wiki/Distance_ladder

Sun - Wikipedia, the free encyclopedia

The mean distance of the Sun from the Earth is approximately 149,600,000 kilometers, or 92,960,000 miles, and its light travels this distance in 8 minutes and 19 seconds.http://en.wikipedia.org/?title=Sun
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Videos found for Distance

Stults Goes The Distance To Stop Gi...

Stults Goes The Distance To Stop GiantsEric Stults fired a four-hit shutout in the Dodgers' 8-0 winFlash - Video

Keeping your distance

Keeping your distanceProfessor Ira Longini talks about how "social distancing" can reduce transmission of swine flu. (msnbc.com)Windows Media - Video

ReKap: Distance Makes the Heart Gro...

ReKap: Distance Makes the Heart GrowWill Kim's addiction to work get in the way of her relationship with Reggie? Look back at the couple overcomes obstacles.Flash - Video

Keep a Safety Distance

Keep a Safety DistanceClick here to watch the videoVideo - Video

Kommentary: Distance Makes the Hear...

Kommentary: Distance Makes the Heart GrowKim and co. comment on Kim's busy life and its effects on her long distance relationship. Get the scoop!Flash - Video

Answers for Distance

ollaDistance..?olla2. Distance to second base is perhaps the easiest. Because the 4 bases make a square, you can use right triangles and pythagoreans theorem to help solve the problem for distance to second base. Draw ...l0VE<3Relationship between distance and force in the work equation?l0VE<3think of lifting weights. If you lift a small wight x meters, doing work to that weight; you would only need to lift a big weight( 2 times the small one) half as high to do the same workX L M T DHow much distance will a vehicle having an acceleration of 0-60 kmph cover in 4 seconds?X L M T Dacceleration = a = (60 - 0)/(4) a = 15 km/hr - sec a = (15 km./hr - sec)* (1 hour/3600 sec) a = 0.0042 km/sec^2 Use the formula S = VoT + (1/2)(a)(T^2) where S = distance travelle...EllieHow do you calculate the distance from a speed vs distance graph?EllieThe distance from a speed-time graph is numerically equal to the area under the graph If it a Straight line graph sloping upwards [diagonally], from zero or sloping down to zero, the shape under the ......What is the distance from one milliliter to another on a graduated cylinder?...Distance is one dimensional. Volume is three dimensional, only if the other two dimensions are 1 cm, or if the cross-sectional area of your collection tube was 1 cm^2, would the height be equal in val...
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