Tropical ideals are a class of in the tropical polynomial semiring that combinatorially abstracts possible collections supports all polynomials an ideal over field. We study zero-dimensional I with Boolean coefficients which underlying matroids paving matroids, or equivalently, minimal support have size $$\deg (I)$$ (I)+1$$ —we call them ideals. show degree $$d+1$$ bijection $${\mathbb {Z}}^n$$...

We give an algorithm that, for a given value of the geometric genus $p_g,$ computes all regular product-quotient surfaces with abelian group that have at most canonical singularities and system isolated base points. use it to show there are exactly two families such map degree $32$. also construct surface $q=1$ $24$. These $p_g=3$ point free system. discuss case $p_g=4$

background: the aim of this research was to determine and compare emotional quotient and clinical performance in type d and non-d personality anesthesiology residents. methods: this was a causative–comparative research consenting anesthesiology residents (n=48). all the participants completed bar-on emotional quotient and ds-14 (type d personality) questionnaires. clinical performance of partic...

In this paper we study various approaches for exploiting symmetries in polynomial optimization problems within the framework of semidefinite programming relaxations. Our special focus is on constrained problems especially when the symmetric group is acting on the variables. In particular, we investigate the concept of block decomposition within the framework of constrained polynomial optimizati...

We suggest to endow Mumford’s GIT quotient scheme with a stack structure, by replacing Proj(−) of the invariant ring with its stack theoretic analogue. We analyse the stacks resulting in this way from classically studied invariant rings, and in particular for binary forms of low degree. Our viewpoint is that the stack structure carries interesting geometric information that is intrinsically pre...

Individuals with autism spectrum disorder (ASD) often have difficulty coordinated fine motor skills, but the degree of significantly varies from person to person. To elucidate cause this diversity, we monitored brain activity during movement tasks (tying bowknots) by near-infrared spectroscopy in 17 adults ASD and 18 typical development matched for age, gender, intelligence quotient (IQ). We al...

We define the ε∞-product of a Banach space G by a quotient bornological space E | F that we denote by Gε∞(E | F ), and we prove that G is an L∞-space if and only if the quotient bornological spaces Gε∞(E | F ) and (GεE) | (GεF ) are isomorphic. Also, we show that the functor .ε∞. : Ban× qBan −→ qBan is left exact. Finally, we define the ε∞-product of a b-space by a quotient bornological space a...

We comment on the conformal boundary states of the c = 1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational r...

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finall...