We present a rating method that, given information on the pairwise comparisons of n items, minimizes the number of inconsistencies in the ranking of those items. Our Minimum Violations Ranking (MVR) Method uses a binary linear integer program (BILP) to do this. We prove conditions when the relaxed LP will give an optimal solution to the original BILP. In addition, the LP solution gives informat...

Two barn swallows (Hirundo rustica) flying in the Lund wind tunnel were filmed using synchronised high-speed cameras to obtain posterior, ventral and lateral views of the birds in horizontal flapping flight. We investigated wingbeat kinematics, body tilt angle, tail spread and angle of attack at speeds of 4-14 ms(-1). Wingbeat frequency showed a clear U-shaped relationship with air speed with m...

We consider the problem of inserting a vertex inside a star-shaped input polygon at the location that maximizes the minimum angle in the resulting triangulation. An existing polynomial-time algorithm solves for the intersection of three polynomial surfaces (a prior paper indicates that these are eighth-degree polynomials) and computes the maxima of the curve of intersection of two such surfaces...

Given a set S of n points in the plane and a fixed angle 0 < ω < π, we show how to find all triangles of minimum area with angle ω that enclose S in O(n log n) time.

Given a set S of n points in the plane and a fixed angle 0 < ω < π, we show how to find all triangles of minimum area with angle ω that enclose S in O(n log n) time. We also demonstrate that in general, the solution cannot be written without cubic root.

We present an accurate description of the conjugate pair angle-angular momentum in terms of the exponential of the angle instead of the angle itself, which leads to dispersion as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We disc...

Two different local-density approximations, the Gáspár-Kohn-Sham and the Perdew-Zunger approximations, of the density-functional method have been used to calculate structural and electronic properties of polyethylene systems with several different dihedral angles. For each system, the CC bond lengths and the CCC and HCH bond angles are optimized simultaneously. All the parameters appear to be s...

the railway transportation planning under the fuzzy environment is investigated in this paper. as a main result, a new modeling method, called minimum risk chance-constrained model, is presented based on the credibility measure. for the convenience ofs olving the mathematical model, the crisp equivalents ofc hance functions are analyzed under the condition that the involved fuzzy parameter...

dermatophyte fungi are the etiologic agents of skin infections commonly referred to as ringworm. these infections are not dangerous but as a chronic cutaneous infections they may be difficult to treat and can also cause physical discomfort for patients. they are considered important as a public health problem as well. no information is available regarding the efficacy of antifungal agents again...

We consider bounding the cardinality of an arbitrary triangulation with smallest angle We show that if the local feature size i e distance between disjoint vertices or edges of the triangulation is within a con stant factor of the local feature size of the input then N O M where N is the cardinality of the triangulation and M is the cardinality of any other triangulation with smallest angle at ...