The road coloring problem is an interesing problem proposed over 40 years ago by Adler, Goodwyn and Weiss. Hundreds of mathematicians worked on this problem and failed to make the conjecture a theorem. Finally, in 2007, it was proved by a 60-year-old Israeli mathematician, Avraham Trahtman. It turns out the prove was quite simple after Trahtman partitioned the graph into cycles and trees. The d...

We prove the inequality E[(X/μ)k]≤(k/μlog(1+k/μ))k≤exp(k2/(2μ)) for sub-Poissonian random variables X, such as Binomially or Poisson distributed variables, with mean μ. The asymptotic behaviour E[(X/μ)k]=1+O(k2/μ) matches a lower bound of 1+Ω(k2/μ) small k2/μ. This improves over previous uniform raw moment bounds by factor exponential in k.

background: cystoid macular edema (cme) is one of the most common and sight threatening complications of uveitis. intravitreal injection of corticosteroids and anti-vegf antibody are two routine options for treatment. objective: to compare the effects of intravitreal injections of bevacizumab and triamcinolone acetonide for the treatment of persistent macular edema in non-infectious uveitis. me...

Integrated land-use and transport interaction models (LUTI) are praised for their ability to evaluate land-use and transport planning in an integrated and consistent modeling system. However, applications of empirically estimated land use models are rare. This paper will present the application of the Dutch national land-use/transport interaction model TIGRIS XL in a recent land-use and transpo...

This paper focuses on internal quality measures for automatic road extraction from aerial images taken over urban areas. The motivation of this work is twofold: Firstly, any automatic system should provide the user with a small number of values indicating the reliability of the obtained results. This is often referred to as ”self-diagnosis” and is in particular a crucial part of automatic image...

Let G be a connected reductive complex algebraic group with maximal torus T. We denote by Λ the coweight lattice of Λ+⊂Λ submonoid dominant coweights. For λ∈Λ+,μ∈Λ,μ⩽λ, in [7], authors defined generalized transversal slice W‾μλ. This is an variety dimension 〈2ρ∨,λ−μ〉, where 2ρ∨ sum positive roots G. In this paper, we construct isomorphism W‾μλ≃W‾μ+λ×A〈2ρ∨,μ+−μ〉 for μ∈Λ such that 〈α∨,μ〉⩾−1 any r...

I propose a restricted theory of tone-TBU association called Basic Tonal Theory (BTT). BTT includes six well-attested constraints, and a restricted GEN. The typology contains attested cases of tone overcrowding resolution such as tone deletion, mora epenthesis, and mora deletion, but also predicts unattested cases of languages that resolve tonal crowding by using a combination of the aforementi...