Diameter

Diameter Measurement
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Measure Diameter
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Diameter - Wikipedia, the free encyclopedia
In geometry, a diameter of a circle is any straight line segment that passes ... In differential geometry, the diameter is an important global Riemannian invariant. ...
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diameter: Definition from Answers.com
diameter n. ( Abbr. d or diam. ) Mathematics. A straight line segment passing through the center of a figure, especially of a circle or sphere, and
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Circumference
Circumference of a circle is presented in this interactive lesson from Math Goodies. ... where is circumference and is diameter. ...
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angular diameter: Definition from Answers.com
angular diameter ( ?angy?l?r ?d??am?d?r ) ( astronomy ) The angle subtended at the observer by a diameter of a distant spherical body which is
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diameter definition | Dictionary.com
Definition of diameter at Dictionary.com with free audio pronunciation. ... IMS Technology & Diameter. Convergence Technology & Solutions from the Convergence Experts ...
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Introduction to Diameter
Get an overview of the Diameter protocol, the next generation Authentication, ... The Diameter protocol was derived from the RADIUS ... AAA and Diameter ...
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Graph Diameter -- from Wolfram MathWorld
In other words, a graph's diameter is the largest number of vertices which must ... SEE ALSO: Diameter, Graph, Graph Distance, Graph Eccentricity, Graph Geodesic, ...
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RFC 3588
J. Arkko Ericsson September 2003 Diameter Base Protocol Status of this Memo This ... Abstract The Diameter base protocol is intended to provide an Authentication, ...
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For the authentication, authorisation, and accounting protocol, see DIAMETER.

In geometry, a diameter (Greek language words diairo = divide and metro = measure) of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle. The diameters are the longest chord (geometry) of the circle.

In more modern usage, the length of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter, because all diameters of a circle have the same length, this being twice the radius.

For a convex shape in the plane, the diameter is defined to be the largest distance that can be formed between two opposite parallel lines tangent to its boundary, and the width is defined to be the smallest such distance. For a curve of constant width such as the Reuleaux triangle, the width and diameter are the same because all such pairs of parallel tangent lines have the same distance.

The diameter of a connected graph is the distance between the two vertex (graph theory) which are furthest from each other. The distance between two vertices a and b is the length of the shortest path connecting them (for the length of a path, see Graph theory).

The three definitions given above are special cases of a more general definition. The diameter of a subset of a metric space is the supremum of the distances between pairs of points in the subset. So, if A is the subset, the diameter is supremum { d(x, y) | x, yA } .

In medical idiom#parlance the diameter of a lesion is the longest line segment whose endpoints are within the lesion.

Diameter symbol drawing

The symbol or variable for diameter is similar in size and design to ø, the lowercase letter o with stroke. Unicode provides character number 8960 (hexadecimal 2300) for the symbol, which can be encoded in HTML webpages as ⌀ or ⌀. Proper display of this character, however, is unlikely in most situations, as most Typefaces do not have it included. (Your browser displays ⌀ and ⌀ in the current font.) In most situations the letter ø is acceptable, obtained in Microsoft Windows by holding the key down while entering 0 2 4 8 on the numeric keypad.

It is important not to confuse a diameter symbol (ࣼ) with the empty set symbol (∅), similar to the uppercase Ø. Phi (letter) is sometimes used for diameter, although this seems to come from the fact that the symbols appear similar.

See also

External links



diameter from FOLDOC
diameter. The diameter of a graph is the maximum value of the minimum distance between any two nodes. Try this search on Wikipedia, OneLook, Google

Diameter - Wikipedia, the free encyclopedia
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle.

Diameter (protocol) - Wikipedia, the free encyclopedia
Diameter is a computer networking protocol for AAA (Authentication, Authorization and Accounting). It is a successor to RADIUS.

Definition: diameter from Online Medical Dictionary
The Online Medical Dictionary is a searchable dictionary of definitions from medicine, science and technology.

Diameter of Gold Coins
The measurements or dimensions of coin diameters shown on this site are in millimteres (mms), and are shown to a varying number of decimal places...

diameter - definition of diameter by the Free Online Dictionary ...
Definition of diameter in the Online Dictionary. Meaning of diameter. Pronunciation of diameter. Translations of diameter. diameter synonyms, diameter antonyms. Information about ...

Diameter -- from Wolfram MathWorld
The diameter of a circle is the distance from a point on the circle to a point pi Radians away, and is the maximum distance from one point on a circle to another. The diameter of a ...

Graph Diameter -- from Wolfram MathWorld
The length max_(u,v)d(u,v) of the "longest shortest path" (i.e., the longest graph geodesic) between any two graph vertices (u,v) of a graph, where d(u,v) is a graph distance.

Large Diameter Pipelines
Frazer and Tabberer supplied approximately 18km of 1220mm diameter pipe to the D2H Project in Northern Ireland in 2006. ...

AskOxford: diameter
diameter /di amm it r/ • noun a straight line passing from side to side through the centre of a circle or sphere. — ORIGIN from Greek diametros gramme ‘line measuring across ...





 
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