In order to integrate numerically a well-posed multiscale evolutionary problem such as a Cauchy problem for an ODE system or a PDE system, using time-subcycling techniques consists in splitting the vector field in a fast part and a slow part and taking advantage of this decomposition, for example by integrating the fast equation on a much smaller time step than the slow equation (instead of hav...

The study of hadronic matter at high baryon density has recently attracted a lot of interest. At zero baryon density chiral symmetry is broken by a quark-anti-quark condensate. At high density condensation in the quarkanti-quark channel is suppressed. Instead, attractive interactions in the color anti-symmetric quark-quark channel favor the formation of diquark condensates. As a consequence, co...

Thermal emission rates and mean free paths of photons in a color-flavor locked (CFL) phase of quark matter at high densities and moderate temperatures are evaluated. Our calculations are based on a low-energy effective theory for CFL matter describing Goldstone boson excitations and their electromagnetic as well as strong interactions. Inmedium coupling strengths of vector mesons are found to b...

In this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on rational numbers. There exists an elegant binary representation for positive rational numbers based on this tree [Graham et al., Concrete Mathematics, 1994]. We will study this representation by investigating various algorithms to perform exact rational arithmetic using an adaptation of the homographic ...

The logographic nature of the Chinese writing system creates a huge hurdle for Chinese as a foreign language (CFL) learners. Existing literature (e.g., Shen, 2010; Taft & Chung, 1999) suggests that radical knowledge facilitates character learning. In this project, we selected 48 compound characters in eight radical groups and examined how grouping characters based on their radicals affected the...

Many people are learning English as a second or foreign language, and there are estimated 375 million English as a Second Language (ESL) and 750 million English as a Foreign Language (EFL) learners around the world according to Graddol (2006). Evidently, automatic grammar checkers are much needed to help learners improve their writing. However, typical English proofreading tools do not target s...

No wonder you activities are, reading will be always needed. It is not only to fulfil the duties that you need to finish in deadline time. Reading will encourage your mind and thoughts. Of course, reading will greatly develop your experiences about everything. Reading concrete mathematics a foundation for computer science is also a way as one of the collective books that gives many advantages. ...

The cooling mechanism of compact stars with quark cores in the color-flavor locked phase is discussed. It is argued that the high thermal conductivity of the quark core plays a key role in the stellar cooling. It implies that the cooling time of compact stars with color-flavor locked quark cores is similar to that of ordinary neutron stars, unless the star is almost completely made of color-fla...

We study instanton effects in QCD at very high baryon density. In this regime instantons are suppressed by a large power of (ΛQCD/μ), where ΛQCD is the QCD scale parameter and μ is the baryon chemical potential. Instantons are nevertheless important because they contribute to several physical observables that vanish to all orders in perturbative QCD. We study, in particular, the chiral condensa...

1. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd ed., John Wiley, 1968. 2. R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science, Addison-Wesley, 1989. 3. R. Hirshon and R. De Simone, An offer you can’t refuse, Mathematics Magazine 81 (2008) 146–152. 4. L. Takács, On the classical ruin problems, J. American Stat...