Stanley has studied a symmetric function generalization XG of the chromatic polynomial of a graph G. The innocent-looking Stanley-Stembridge Poset Chain Conjecture states that the expansion of XG in terms of elementary symmetric functions has nonnegative coefficients if G is a clawfree incomparability graph. Here we give a combinatorial interpretation of these coefficients by combining Gasharov...

Football is a sport that has the most fans in world. What makes sebak patterns so popular are their uncertain and unpredictable results. There many factors affect outcome of football match, including strategy, skill, even luck. Therefore, guessing results soccer match an interesting problem. All shots grouped into sections on playing field theoretical goal scores applied to each area. The analy...

This work is focused on the modification of interphase zone in short flax fibres / polypropylene (PP) composites by a bio-inspired called “nanostructuration” that uses adsorption biomass by-products, i.e. cellulose nanocrystals (CNC) and xyloglucan (XG), to create hierarchical fibres. The wettability interfacial adhesion study reveals strong decrease polar character CNC modified fibres, hence i...

Composite films based on dispersions of bismuth ferrite (BiFeO3) in polyvinylidene fluoride (PVDF) matrixes were prepared the presence multiwalled-carbon-nanotubes (MWCNT), using xanthan gum (XG) as dispersant. Films by spin coating and characterized infrared spectroscopy (FTIR) electronic microscopy (SEM). SEM images showed that samples containing MWCNT XG presented a uniform morphology with h...

Low permeability zones (LPZs) are typically bypassed when remedial reagents injected into heterogeneous aquifers, which hinders the in situ remediation. Although shear-thinning polymers have emerged as promising tools to meet this challenge, their applicability complex systems remains unconfirmed. We investigated sweeping efficiencies of calcium polysulfide (CPS) Cr(VI)-contaminated LPZs using ...

Multilayer biopapers composed of two electrospun layers poly(3-hydroxybutyrate-co-3-hydroxyvalerate) (PHBV) were impregnated, at the inner side one layers, with cellulose nanocrystals (CNCs) and their composites hydrocolloids, to develop high-barrier fully biobased structures. The study aimed for first time comparing impregnation fibers several biopolymer solutions. Thus, neat CNCs, CNCs mixed ...

Utilisation of plant waste materials contributes to sustainable food production and allows preparation functional ingredients from natural bio-materials. Microfibrillated cellulose (MFC) such as citrus peels has been suggested have potential “clean label” thickener. This study compared rheological (shear extensional rheology, hysteresis, yield stress), tribological sensory properties MFC disper...

Given a compact group G, a standard construction of a Z2 Markov shift ΣG with alphabet G is described. The cardinality of G (if G is finite) or the topological dimension of G (if G is a torus) is shown to be an invariant of measurable isomorphism for ΣG. We show that if G is sufficiently non–abelian (for instance A5, PSL2(F7) or a Suzuki simple group) and H is any abelian group with |H| = |G|, ...

We study fragments of a μ-calculus over data words whose primary modalities are ‘go to next position’ (Xg), ‘go to previous position’ (Yg), ‘go to next position with the same data value’ (Xc), ‘go to previous position with the same data value (Yc)’. Our focus is on two fragments that are called the bounded mode alternation fragment (BMA) and the bounded reversal fragment (BR). BMA is the fragme...

The results are presented of a study of the accuracy one may achieve at HERA in measuring the strong coupling constant αs and the gluon distribution xg(x,Q ) using future data of the structure function F2(x,Q ) which are estimated to be accurate at the few % level over the full accessible kinematic region down to x ≃ 10 and up to Q ≃ 50000 GeV. The analysis includes simulated proton and deutero...