New representation results for three families of regular languages are stated, using a special kind of shuffle operation, namely the synchronized shuffle. First, it is proved that the family of regular star languages is the smallest family containing the language (a+ bc)∗ and closed under synchronized shuffle and length preserving morphism. The second representation result states that the famil...

background: dyssynergic defecation is a major cause of chronic functional constipation as a common digestive complaint. we clinically evaluated the effects of biofeedback therapy on the pelvic floor motion indices through magnetic resonance (mr) defecography, quality of life and depression in patients with dyssynergic defecation.   methods : in this clinical trial study, among patients referrin...

The Gieseker-Uhlenbeck morphism maps the Gieseker moduli space of stable rank-2 sheaves on a smooth projective surface to the Uhlenbeck compactification, and is a generalization of the Hilbert-Chow morphism for Hilbert schemes of points. When the surface is the complex projective plane, we determine all the 1-point genus-0 Gromov-Witten invariants extremal with respect to the Gieseker-Uhlenbeck...

We consider a possibility of the existence of intersection homology morphism, which would be associated to a map of analytic varieties. We assume that the map is an inclusion of codimension one. Then the existence of a morphism follows from Saito’s decomposition theorem. For varieties with conical singularities we show, that the existence of intersection homology morphism is exactly equivalent ...

Directed containers make explicit the additional structure of those containers whose set functor interpretation carries a comonad structure. The data and laws of a directed container resemble those of a monoid, while the data and laws of a directed container morphism those of a monoid morphism in the reverse direction. With some reorganization, a directed container is the same as a small catego...

We introduce a new optimization strategy to compute numerical approximations of minimizers for optimal control problems governed by scalar conservation laws in the presence of shocks. We focus on the 1 − d inviscid Burgers equation. We first prove the existence of minimizers and, by a Γ-convergence argument, the convergence of discrete minima obtained by means of numerical approximation schemes...

Let $f$ be a morphism from klt pair $(X, \Delta)$ to an abelian variety $A$, $m\geq1$ rational number and $D$ Cartier divisor on $X$ such that $D\sim_{\mathbb Q}m(K_X+\Delta)$. We prove the sheaf $f_*\mathcal{O}_X(D)$ becomes globally generated after pullback by isogeny has Chen-Jiang decomposition, along with some related results. These are applied effective results for $\mathcal{O}_X(D)$ when...