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The full text of all the documents submitted to Shodhganga are available to read and to download in open access to the academic community worldwide. The repository has a collection of over 500,000 theses and 13000 synopses.
The greatest length of any of these paths is the diameter of the graph. A central vertex in a graph of radius r is one whose eccentricity is r —that is, a vertex whose distance from its furthest vertex is equal to the radius, equivalently, a vertex v such that ϵ(v) = r.
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The Wigner–Seitz radius, named after Eugene Wigner and Frederick Seitz, is the radius of a sphere whose volume is equal to the mean volume per atom in a solid (for first group metals). [1] In the more general case of metals having more valence electrons, r s {\displaystyle r_{\rm {s}}} is the radius of a sphere whose volume is equal to the ...
ProQuest Dissertations and Theses (PQDT) is an online database that indexes, abstracts, and provides full-text access to dissertations and theses. The database includes over 2.4 million records and covers 1637 to the present. [1] [2] It is produced by ProQuest and was formerly known as ProQuest Digital Dissertations.
The radius of the first arc must be chosen large enough to cause all successive arcs to end on the correct side of the next crossing point; however, all sufficiently-large radii work. For two lines, this forms a circle; for three lines on the sides of an equilateral triangle, with the minimum possible radius, it forms a Reuleaux triangle, and ...
as one would expect. This is equivalent to the above definition of the 2D mean diameter. However, for historical reasons, the hydraulic radius is defined as the cross-sectional area of a pipe A, divided by its wetted perimeter P, which leads to =, and the hydraulic radius is half of the 2D mean radius. [3]
Ionic radius, r ion, is the radius of a monatomic ion in an ionic crystal structure. Although neither atoms nor ions have sharp boundaries, they are treated as if they were hard spheres with radii such that the sum of ionic radii of the cation and anion gives the distance between the ions in a crystal lattice .