139,242 research outputs found
Yang-Baxter maps and the discrete KP hierarchy
No full textWe present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
No full textWe present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy. We obtain the one-soliton, two-soliton, and periodic solution for the bi-directional Sawada-Kotera (bSK), the bi-directional Kaup-Kupershmidt (bKK) and also the bi-directional Satsuma-Hirota (bSH) equation. Different solutions such as left- and right-going solitons are classified according to the symmetries of the 5th roots of eiε. Furthermore, we show that the soliton solutions of the n-reduction of the BKP and CKP hierarchies with n = 2j+1, j = 1,2,3,..., can propagate along j directions in the 1+1 space-time domain. Each such direction corresponds to one symmetric distribution of the nth roots of eiε. Based on this classification, we detail the existence of two-peak solitons of the n-reduction from the Grammian τ function of the sub-hierarchies BKP and CKP. If n is even, we again find two-peak solitons. Last, we obtain the ``stationary" soliton for the higher-order KP hierarchy
SK Dosen Pembimbing KP & Logsheet Ageng Nurpagi D.
No full textSK Dosen Pembimbing KP & Logsheet Ageng Nurpagi D
Tugas Individu Perekonomian Indonesia Kp D (galih wahyu kristian)
No full texttugas individu Perekonomian Indonesia Kp D (Galih Wahyu Kristian 130217927
D-particles, Matrix Integrals and KP hierachy
No full textWe derive the determinant representation and Hirota equations for the regularized correlation functions of the light-like coordinate operators DDNDD$-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large-N and double-scaling limits of the one-matrix model with cubic potential.We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing D-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large- N and double-scaling limits of the one-matrix model with cubic potential
SK KP 1B :SK Dekan No.2879/UN16.02.D/PP/S1Keb/2020 tanggal 23 November 2020
No full textSK KP 1B :SK Dekan No.2879/UN16.02.D/PP/S1Keb/2020 tanggal 23 November 202
SK KP 5C : SK Dekan No.2951/UN16.02.D/PP/S1Keb/2020 tanggal 30 Desember 2020
No full textSK KP 5C : SK Dekan No.2951/UN16.02.D/PP/S1Keb/2020 tanggal 30 Desember 202
SK KP 1A : SK Dekan No.2867/UN16.02.D/PP/S1Keb/2020 tanggal 19 November 2020
No full textSK KP 1A : SK Dekan No.2867/UN16.02.D/PP/S1Keb/2020 tanggal 19 November 202
Expression of GPR54 and KP and KP induction of ERK in primary trophoblast cells.
No full text<p>Relative mRNA expression levels of GPR54 <b>(A)</b> and KP <b>(B)</b> in HTR8 cells (white bars) and trophoblast cells (black bars). Protein expression of GPR54 <b>(C)</b> and KP-145 and KP-54 <b>(D)</b> in HTR8 cells and trophoblast cells. β-actin was used as a loading control. <b>(E)</b> HTR8 and trophoblast cells were treated for 10 min with vehicle (-), 1 µM KP antagonist (p356), 100 nM KP or both treatments (KP + p356) in combination in serum-free medium. Phospho- and total ERK1/2 protein levels were determined by Western Blot. <b>(F)</b> Quantification of Western Blots for phospho- and total ERK1/2 expression (n = 3). Error bars represent SEM. Statistical significance was tested by ANOVA, columns with different letters represent statistically different values, p<0.05, while same letters indicates no significant difference, p>0.05.</p
MeSH term explosion and author rank improve expert recommendations
No full textInformation overload is an often-cited phenomenon that reduces the productivity, efficiency and efficacy of scientists. One challenge for scientists is to find appropriate collaborators in their research. The literature describes various solutions to the problem of expertise location, but most current approaches do not appear to be very suitable for expert recommendations in biomedical research. In this study, we present the development and initial evaluation of a vector space model-based algorithm to calculate researcher similarity using four inputs: 1) MeSH terms of publications; 2) MeSH terms and author rank; 3) exploded MeSH terms; and 4) exploded MeSH terms and author rank. We developed and evaluated the algorithm using a data set of 17,525 authors and their 22,542 papers. On average, our algorithms correctly predicted 2.5 of the top 5/10 coauthors of individual scientists. Exploded MeSH and author rank outperformed all other algorithms in accuracy, followed closely by MeSH and author rank. Our results show that the accuracy of MeSH term-based matching can be enhanced with other metadata such as author rank
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