A simple bijection for classical and enhanced k-noncrossing partitions

In this short note, we give a simple bijection from partitions of subsets of [n] to partitions of [n+1], in which enhanced k-crossings correspond to classical k-crossings. This resolves a recent conjecture of Zhicong Lin involving the binomial transform of the sequence that enumerates enhanced k-noncrossing partitions.Comment: 2 page

On the Head and the Tail of the Colored Jones Polynomial

The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute values of the first and the last three leading coefficients of J(K,n) are independent of n when n is sufficiently large. Computation of sample knots indicates that this should be true for any fixed leading coefficient of the colored Jones polynomial for alternating knots. As a corollary we get a Volume-ish Theorem for the colored Jones Polynomial.Comment: 14 pages, 6 figure

Phase diagram and magnetocaloric effect of CoMnGe_{1-x}Sn_{x} alloys

We propose the phase diagram of a new pseudo-ternary compound, CoMnGe_{1-x}Sn_{x}, in the range x less than or equal to 0.1. Our phase diagram is a result of magnetic and calometric measurements. We demonstrate the appearance of a hysteretic magnetostructural phase transition in the range x=0.04 to x=0.055, similar to that observed in CoMnGe under hydrostatic pressure. From magnetisation measurements, we show that the isothermal entropy change associated with the magnetostructural transition can be as high as 4.5 J/(K kg) in a field of 1 Tesla. However, the large thermal hysteresis in this transition (~20 K) will limit its straightforward use in a magnetocaloric device.Comment: 12 pages, 5 figure

Fevereiro / 2022

Índice Infográficos Guias sobre crises não epilépticas psicogênicas para pacientes e médicosKnochenhauer AE, Froehner GV, Lunardi MS, Schwarzbold ML, Moreira AB, Lin K...............................2 Crises não epilépticas psicogênicas: um guia em vídeoKnochenhauer AE, Froehner GV, Moreira AB, Lin K...................................................................................8 Distanciamento SocialAlmeida FB, Ronzani FG, Klock DM, Coelho IS.........................................................................................1