We study a particular graded ring structure on the set of all loopfree matroids on a fixed labeled ground set, which occurs naturally in tropical geometry. The product is given by matroid intersection and the additive structure is defined by assigning to each matroid the indicator vector of its chains of flats. We show that this ring is generated in corank one, more precisely that any matroid c...

In this paper we study restrictions imposed on individual preferences, as opposed to preference profiles, and we introduce individual preference restrictions that characterize the existence and uniqueness of stable hedonic coalition structures on rich preference domains. We prove that if such a preference domain satisfies an individual preference restriction then it guarantees the existence of ...

The main objective of this paper is to illustrate the use of the UCF Driving Simulator as a test bed for high-risk locations such as signalized intersections and toll plazas. The Alafaya (SR434) – Colonial (SR50) signalized intersection in Orange County, Florida, is used to validate the simulator. The SR 434 SR 50 intersection is four-leg 6×5 signalized intersection, and has two left turn lanes...

We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph ofG. The condition is derived from a recent extension of the Matroid intersection theorem due to Aharoni and Berger. We apply the result to the problem of the existence of a (spanning) 2-walk in sufficiently tough graphs.

We examine the recently found point of intersection between the Z2 and Z4 orbifold subvarieties in the K3 moduli space more closely. First we give an explicit identification of the coordinates of the respective Z2 and Z4 orbifold theories at this point. Secondly we construct the explicit identification of conformal field theories at this point and show the orthogonality of the two subvarieties.

For i = 1, ... ,p, let Xi!, ... ,Xini denote independent random samples from normal populations. The ith population has unknown mean Jli and unknown variance a;. We consider the sign testing problem of testing Ho : Jli :::; ai, for some i = 1, ... ,p, versus HI : Jli > ai, for all i = 1, ... ,p, where al,." ,ap are fixed constants. Here, HI might represent p different standards that a product m...

When the degree of saturation at intersection approaches one, Webster’s optimum cycle length equation becomes inapplicable, because the cycle length will becomes very big when the degree of saturation approaches one and will be fully unrealistic when the degree of saturation becomes greater than one. This is not a problem for HCM2000 method. But optimum cycle length calculation in this method h...

For multi-objective optimization under condition of complicated objective function, the data processing in evaluation is sometime tediously long, special algorithm needed to be adopted. Since remarkable features uniform distribution test points within domain and small number tests, fully representative each point, easy perform regression analysis, design method hybrid with “intersection” for si...

The union-intersection principle yields a class of multiple comparison tests that include the classical Scheffé tests for analysis of variance, and are easily applied to any likelihood ratio test. Examples are given.

F. Richard Moore proposed a general model for spatial processing of sounds in 1982. [5] This model separates space in two nested areas. The outer room is an imagimary acoustic space within which the inner room (or the real performance space) is located. The inner room is denoted by the location of the speakers which simulate the sound heard in the inner room as if the speakers were “openings” c...