Letm be a fixed positive integer. It is well-known that a permutation σ of {1, . . . , n}may have one, many, or nomth roots. In this article we provide an explicit expression and a generating function for the number of mth roots of σ. Let pm(n) be the probability that a random n-permutation has an mth root. We also include a proof of the fact that pm(jq) = pm(jq + 1) = · · · = pm(jq + (q − 1)),...

We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in R an invariant JQ(L) which is a topological space (defined up to a homeomorphism). The space JQ(L) can be interpreted as a space of colourings of a diagram of the link L with colours from the quandle Q.

Let q > 1 be a real number and let m = m(q) be the largest integer smaller than q. It is well known that each number x ∈ Jq := [0, P ∞ i=1 mq ] can be written as x = P ∞ i=1 ciq −i with integer coefficients 0 ≤ ci < q. If q is a non-integer, then almost every x ∈ Jq has continuum many expansions of this form. In this note we consider some properties of the set Uq consisting of numbers x ∈ Jq ha...

SIRT1, a class III histone deacetylase, plays a critical role in regulating cancer cell growth, migration and invasion, which makes it a potential target for cancer therapeutics. In this study, we screened derivatives of several groups of natural products and identified a novel SIRT1 inhibitor JQ-101, a synthetic derivative of the polyprenylated acylphloroglucinol (PPAP) natural products, with ...

The scenario of heavy quark meson spectroscopy underwent recently a major revolution, after the observation of BABAR and CLEO, confirmed by BELLE, of DsJ L=1 excited states, and by further evidences by SELEX. These experimental results have cast doubts on the incarnations of the ideas of Heavy Quark Effective Theory in heavy quark spectroscopy. I shall review the status of experimental data, di...

   مقاله ی حاضر بر آن است تا بر اساس نقد تطبیقی به بررسی فضای جغرافیایی جنوب ایران در سفرها به ایران نوشته ی جیمز موریه و به سوی اصفهان نوشته ی پی یر لوتی بپردازد.با تکیه بر این شیوه نقد بر آنیم تا با بررسی سفرنامه های این دو نویسنده و سیاح که با یک قرن فاصله  از جنوب ایران دیدن کرده اند به روش توصیف فضای جغرافیایی این ناحیه پی ببریم. روشی که در ذهن جیمز موریه به صورت عینی وری...

Results from the four LEP experiments ALEPH, DELPHI, L3, and OPAL on the spectroscopy of B and charmed mesons are presented. The predictions of Heavy Quark Effective Theory (HQET) for the masses and the widths of excited L = 1 B mesons are supported by a new measurement from L3. A few Bc candidate events have masses consistent with the recent CDF observation and the predictions. New results on ...

Precocial avian hatchlings are typically highly social and show strong species-typical preferences for the maternal calls of their own species. The influence of social contingencies on the acquisition of species-specific preferences has, however, largely been neglected. We found that exposing bobwhite (BW) quail chicks to a Japanese quail (JQ) call contingent on their own vocalizations for 5 mi...