This chapter proposes an emotional architecture organized around three pairs of antithetic universal symbols, or archetypes, derived from analytic psychology and anthropological accounts of mythical thinking. Their functions, relationships and interactions, on different levels of complexity within a dynamical system that mimics human emotional processes, are described by a formal model and a co...

We use twisted stable maps to answer the following question. Let E ⊂ P2 be a smooth cubic. How many rational degree d curves pass through a general points of E , have b specified tangencies with E and c unspecified tangencies, and pass through 3d − 1 − a − 2b − c general points of P2? The answer is given as a generalization of Kontsevich’s recursion. We also investigate more general enumerative...

Let C n be the set of all permutation cycles length over { 1 , 2 … } . f ( q ) : = ∑ σ ∈ + maj a -analogue factorial !, where denotes major index. We prove Wilson's congruence − ≡ μ mod Φ Möbius function and is -th cyclotomic polynomial.

Classical Cepheids (DCEPs) are the most important primary indicators for extragalactic distance scale, but they also objects per se, allowing us to put constraints on physics of intermediate-mass stars and pulsation theories. We have investigated peculiar DCEP HD 344787, which is known exhibit fastest positive period change among DCEPs along with a quenching amplitude light variation. used high...

Favard's theorem characterizes bases of functions $\{p_n\}_{n\in\mathbb{Z}_+}$ for which $x p_n(x)$ is a linear combination $p_{n-1}(x)$, $p_n(x)$, and $p_{n+1}(x)$ all $n \geq 0$ with $p_{0}\equiv1$ (and $p_{-1}\equiv by convention). In this paper we explore the differential analogue theorem, that is, $\{\varphi_n\}_{n\in\mathbb{Z}_+}$ $\varphi_n'(x)$ $\varphi_{n-1}(x)$, $\varphi_n(x)$, $\varp...

the gnrh analogue has been shown to be effective in the treatment of precocious puberty when given as a daily subcutaneous injection. we studied the effectiveness of a long-acting gnrh analogue, triptoreline, for the treatment of central precocity, by suppressing gonadotropin and estradiol secretion in three children with true precocious puberty. one month after single dose intramuscular inject...