One example of a weak back reaction is a vibrating iron body in air.

In a polygon, an edge is a line segment on the boundary, and is often called a side.

Cycle property For any cycle C in the graph, if the weight of an edge e of C is larger than the individual weights of all other edges of C , then this edge cannot belong to a MST.

If the graph is directed, the direction is indicated by drawing an arrow.

Uniqueness If each edge has a distinct weight then there will be only one, unique minimum spanning tree .

A sphere need not be smooth if it is smooth, it need not be diffeomorphic to the Euclidean sphere.

At the next iteration, the side length is halved formula_9and there are 4 such smaller tetrahedra.

The same applies for the radius if it is taken to equal one, as in the case of a unit sphere.

In geometry, a hexagon (from Greek ἕξ hex , six and γωνία, gonía, corner, angle ) is a polygon with six edges and six vertices.

In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.

In the mathematical area of graph theory, a clique ( or ) is subset of vertices of an undirected graph, such that its induced subgraph is complete that is, every two distinct vertices in the clique are adjacent.

The Radius allows you to set how many pixels on either side of an edge that will be affected by sharpening. High resolution images allow higher radius. You'd better always sharpen an image at its final resolution.

We can also assign a weight to each edge, which is a number representing how unfavorable it is, and use this to assign a weight to a spanning tree by computing the sum of the weights of the edges in that spanning tree.

Regular dodecahedron Dimensions If the edge length of a regular dodecahedron is a , the radius of a circumscribed sphere (one that touches the dodecahedron at all vertices) is formula_1and the radius of an inscribed sphere (tangent to each of the dodecahedron's faces) is formula_2while the midradius, which touches the middle of each edge, is formula_3These quantities may also be expressed as formula_4 formula_5 formula_6where φ is the golden ratio.

Similar notions may be defined for directed graphs , where each edge (arc) of a path or cycle can only be traced in a single direction (i.e., the vertices are connected with arrows and the edges traced tail to head ).

However, on July 14, 1865, in what is considered the last ascent of the golden age of alpinism, the English party of Edward Whymper, Charles Hudson, Lord Francis Douglas, Douglas Robert Hadow, Michel Croz and the two Peter Taugwalders (father and son) were able to reach the summit by an ascent of the Hörnli ridge in Switzerland.

If we consider a transparent cube of length formula_10 on a side, filled with soot, then the optical depth of this medium is inversely proportional to the square of formula_10, and therefore proportional to the areal density of soot particles we can make it easier to see through the imaginary cube just by making the cube larger.

The Threshold control is a fraction of the maximum RGB value, needed to apply the difference amount. It allows you to set the minimum difference in pixel values that indicates an edge where sharpening should be applied. That way, you can protect areas of smooth tonal transition from sharpening, and avoid creation of blemishes in face, sky or water surface.

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28 january 2005 25 february 2005 25 march 2005 29 april 2005 27 may 2005 24 june 2005 29 july 2005 26 august 2005 30 september 2005 28 october 2005 25 november 2005 30 december 2005 No No No Yes No No Yes No Yes No No Yes

28 Mar 2003 25 Apr 2003 30 May 2003 27 Jun 2003 25 Jul 2003 29 Aug 2003 26 Sep 2003 31 Oct 2003 28 Nov 2003 26 Dec 2003 No No Yes No No Yes No Yes Yes No

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Some example classes are search algorithms, sorting algorithms, merge algorithms, numerical algorithms, graph algorithms, string algorithms, computational geometric algorithms, combinatorial algorithms, medical algorithms, machine learning, cryptography, data compression algorithms and parsing techniques.

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1 June 1998 to 31 August 1999 1 September 1999 to 16 April 2004 since 30 April 2004

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