Sentence examples for minimum weight of from inspiring English sources
The objective of the Weighted Coloring Problem [7] is, given a vertex-weighted graph (G), to determine the minimum weight of a proper coloring of (G), that is, its weighted chromatic number.
The contribution by Araujo and Linhares Sales is on graph theory, specifically on the problem of determining the minimum weight of a proper coloring of a vertex-weighted graph (G. ) The authors show a necessary and sufficient condition for the weighted chromatic number of (G) to be at least (k), for any positive real (k).
The Weighted Coloring Problem [7] consists in, for a given graph (G) with non-negatives real weights associated to its vertices, determining the minimum weight of a proper coloring of (G), that is, the weighted chromatic number of (G), denoted by (chi _w(G)): begin{aligned} chi _w(G) = min _{c mathrm{coloring,of} G} w(c).
Bike design always used to be about lightness, but in 2000 the UCI introduced a minimum weight of 6.8kg and manufacturers turned their attention to aerodynamics.
6.8 The minimum weight of a bike in kilograms, introduced by the UCI in 2000 to guarantee that bikes are robust and safe enough to withstand the rigours of the race.
There's the stalwart chicken, of course – and this is an occasion to splash out on something really special, such as an apple-fed Cotswold white cockerel, which, with a minimum weight of 4kg, will feed more than your average hen.
The largest minimum weights of these codes are investigated.
Objective functions of the optimization problems are minimum weights of the whole truss structures and constraints are stress, displacement and buckling limitations.
Optimizations using the 2D sandwich model are subsequently performed to determine the minimum weights of truss-cored sandwiches subjected to various failure constraints: overall and local buckling, yielding and facesheet wrinkling.
The problem of minimum weight design of simple and multi-stage spur gear trains has been a subject of considerable interest, since many high-performance power transmission applications (e.g., automotive, aerospace, machine tools, etc).
The optimization philosophies are illustrated first through the analytic derivation of minimum weight optimization of a single member.
