Prelec axiomatized a flexible 2-parameter weighting function W over probabilities in a utility context, and Luce reported a simpler axiomatic condition for the case W ð1Þ 1⁄4 1. This article modifies the latter to yield also the generalized Prelec functions with W ð1Þa1 and deals also with the cases where the variables go through 1⁄21;11⁄2 or through the whole positive line. This has arisen nat...

We show that graph equation W (L(T )) = W (T ), where T is a tree, W (T ) its Wiener index and L(T ) its line graph, has infinitely many nonhomeomorphic solutions among open quipus. This gives a positive answer to the 2004 problem of Dobrynin and Mel’nikov on the existence of solutions with arbitrarily large number of arbitrarily long pendant paths, and disproves the 2014 conjecture of Knor and...

the optimum shape of balance weights is determined, using two different criteria. according to one, one of the balance weights should have minimum size. while the other requires that the mass moment of inertia about the axis of rotation should be minimum. in the second case, the calculus of variation is used to determine the optimum shape. graphs are presented to enable designers to find the di...

Information about the aggregation state of fine particles is an important element for process control, product quality monitoring and fundamental understanding in many cases of industrial slurries. W hen aggregates are small or fragile objects, their w ithdraw al is difficult and off-line characterization may be a source of error. This w ork deals w ith the application of different in line meth...

Let G be a graph. Denote by L(G) its i-iterated line graph and denote by W (G) its Wiener index. There is a conjecture which claims that there exists no nontrivial tree T and i ≥ 3, such that W (L(T )) = W (T ), see [5]. We prove this conjecture for trees which are not homeomorphic to the claw K1,3 and the graph of letter H.

The minimum all-suffixes directed acyclic word graph (MASDAWG) of a string w has |w| + 1 initial nodes, where the dag induced by all reachable nodes from the k-th initial node conforms with the DAWG of the k-th suffix of w. A new space-economical algorithm for the construction of MASDAWG(w) is presented. The algorithm reads a given string w from right to left, and constructs MASDAWG(w) without ...

This experiment was conducted to evaluate the effects of different levels of costmary(Tanacetum balsamita)medicinal plant on performance, egg traits, and blood biochemical parameters of laying hens. Hundred-eighty of Hi-line laying hens (W 36) from 46 until 58 weeks of age were used in a completely randomized design in five treatments and three replicates (12 birds per replicate). The treatment...

Theorem 1 (Line). The equation of a line is ux+ vy + wz = 0 where u, v, w are reals. (These u, v and w are unique up to scaling.) ∗Mewto55555, Missouri. I can be contacted at [email protected]. †v Enhance, SFBA. I can be reached at [email protected]. 1For ABC counterclockwise, this is positive when P , Q and R are in counterclockwise order, and negative otherwise. When ABC is la...

2 Sets S (bold line) and translations (dashed line) on the reciprocal lattice of the sampling scheme, i.e., S+2W ?t S k (left, W S is the standard sampling matrix) and S + 2W ?t I k (right, W I is the interlaced sampling matrix). Sampling the Radon transform with a rectangular scheme leads to a lattice in the Fourier space generated by ~ u 1 ; ~ u 2 (see left) for satisfying the non-overlapping...

A new generalized high-frequency transmission line model is presented for general uniform hybrid waveguide structures consisting of inhomogeneous isotropic or anisotropic media. Starting from Maxwell's equations, the generalized coupled telegrapher's equations are found and the frequency-dependent transmission line parameter matrices R(~o), G(w), L(c0), and C(w) are defined in an unambiguous wa...