A New Scheme of Integrability for (bi)Hamiltonian PDE by De Sole, Alberto, Kac, Victor G, Valeri, Daniele

“…We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, which combines the fractional powers technique of Gelfand and Dickey, and the classical Hamiltonian reduction technique of Drinfeld and Sokolov. …”
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Magnetostriction in ferromagnets and antiferromagnets. by Yacovitch, Robert Daniel

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What Could A Leader Learn From A Mediator?: Dispute Resolution Strategies for Organizational Leadership by Bowles, Hannah Riley

“…We easily recognize effective leaders as expert negotiators as they confront and appeal to a multiplicity of interests to achieve their objectives (Lax & Sebenius, 1986; Neustadt, 1990; Raiffa, 1982). …”
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APLicative programming with Naperian functors by Gibbons, J

“…We show also that the structure of multi-dimensional data is inherently a matter of Naperian applicative functors |lax monoidal functors, with strength, commutative up to isomorphism under composition|that also support traversal.…”

Hyper-kähler hierarchies and their twistor theory by Dunajski, M, Mason, L

“…(n) in twistor space and is canonically equipped with a Lax distribution for ASDVE hierarchies. The space ? …”

Hyper-K{ä}hler Hierarchies and their twistor theory by Dunajski, M, Mason, L

“…It is shown that ${\cal N}$ is a moduli space of rational curves with normal bundle ${\cal O}(n)\oplus{\cal O}(n)$ in twistor space and is canonically equipped with a Lax distribution for ASDVE hierarchies. The space ${\cal N}$ is shown to be foliated by four dimensional hyper-K{\"a}hler slices. …”

Impact of Natural Environment, Regional Integration, and Policies on FDI by Alali, W Y

“…Using a “catch-all” regulatory environment index and a dummy variable for country-pair membership of RTA, our analysis shows that lax regulatory environment and RTA are seemingly associated with FDI positively in both regions.…”

Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws. Part 1: Linearized approximations and linearized output functionals by Giles, M, Ulbrich, S

“…This paper analyzes the convergence of discrete approximations to the linearized equations arising from an unsteady one-dimensional hyperbolic equation with a convex flux function. A simple modified Lax-Friedrichs discretization is used on a uniform grid, and a key point is that the numerical smoothing increases the number of points across the nonlinear discontinuity as the grid is refined. …”

Twistor theory and the K.P. equations by Barge, S

“…We also present a reformulation of the Dirac operator and demonstrate a duality between the Dirac operator and the first Lax operator for the DS-II equations. We then proceed to generalise the Dirac operator construction to generate other integrable systems. …”

Protein repeats: structures, functions, and evolution. by Andrade, M, Perez-Iratxeta, C, Ponting, C

“…Constraints on sequence conservation appear to be relatively lax, due to binding functions ensuing from multiple, rather than, single repeats. …”

Linkage of the gene that encodes the alpha 1 chain of type V collagen (COL5A1) to type II Ehlers-Danlos syndrome (EDS II). by Loughlin, J, Irven, C, Hardwick, L, Butcher, S, Walsh, S, Wordsworth, P, Sykes, B

“…The commonest variant (EDS II) exhibits an autosomal dominant mode of inheritance and is characterized by joint hypermobility, cigarette paper scars, lax skin and excessive bruising. As yet no gene has been linked to EDS II, nor has linkage been established to a specific region of the genome. …”

Phase evolution and crystallite size of La-substituted YIG at differentcalcination temperatures. by Beh, Hoe Guan, Ramli, Irmawati, Yahya, Noorhana, Lim, K.P.

“…Yttrium iron garnet (YIG) substituted lanthanum ions (La3+) Y3-xLaxFe5O12 were synthesized at different temperatures. …”
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Ecological homogenization of soil properties in the American residential macrosystem by Christopher D. Ryan, Peter M. Groffman, J. Morgan Grove, Sharon J. Hall, James B. Heffernan, Sarah E. Hobbie, Dexter H. Locke, Jennifer L. Morse, Christopher Neill, Kristen C. Nelson, Jarlath O'Neil‐Dunne, Rinku Roy Chowdhury, Meredith K. Steele, Tara L. E. Trammell

“…Residential topsoil had higher total soil C than native topsoil, and microbial biomass C was markedly higher in residential topsoil in the two driest cities (LAX and PHX). Coefficients of variation for most biogeochemical metrics were higher in native soils than in residential soils across all cities, suggesting that residential development homogenizes soil properties and processes at the continental scale.…”
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Determining the fundamental conditions of the soliton solution for the new nonlocal discrete by Dina Ammar Salih, Amal Jasim Mohammed

“…There are two cases of the potential functions: single and double excitations, if the Lax operator has no spectrum neither outside nor inside the unit circle then, there is no soliton solution, this happens with a single site case. …”
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Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation by Sheng Zhang, Feng Zhu, Bo Xu

“…As for the main contributions, specifically, we propose a fractional form of the TCGH equation, provide the associated fractional Lax pair, and obtain fractional soliton and semirational solutions of the fractional TCGH equation by constructing its fractional DT and GDT. …”
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Study on infusion misdirection syndrome during phacoemulsification cataract surgery by Yi-Ru Wang, Hui-Ying Rao

“…Infusion misdirection syndrome(IMS)is a rare and troublesome intraoperative complication during phacoemulsification cataract surgery, which usually occurs in hydrodissection, phacoemulsification or irrigation/aspiration(I/A). Under the factors of lax zonular fibers, lens dislocation, posterior capsular rupture, the anterior segment crowding, high perfusion pressure, the infusion fluid accumulates in the vitreous cavity or behind the vitreous, leading to intraocular hypertension, shallowness or even disappearance of the anterior chamber and eventually causing the suspension of surgery. …”
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Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach by A M, N T

“…By imposing appropriate boundary conditions on the shoreline, the mapped equations are then solved using the two-step Richtmyer-Lax-Wenderoff numerical scheme. All of the computations are carried out by employing a program code developed by authors in FORTRAN 90. …”
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Comment on Dimou et al. Profile of Membrane Cargo Trafficking Proteins and Transporters Expressed under N Source Derepressing Conditions in <i>Aspergillus nidulans</i>. <i>J. Fungi... by Ignacio Bravo-Plaza, Miguel Hernández-González, Miguel Á. Peñalva

“…We add here additional bioinformatics evidence that fully disprove the otherwise negative evidence reported by Dimou et al., highlighting the dangers associated with the lax interpretation of genomic data. On the positive side, we establish guidelines for the identification of this key secretory gene in other species of Ascomycota and Basidiomycota, including species of medical and applied interest.…”
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Neurophenomenology Revisited: From Naturalism to Dialectics by Sebastjan Vörös

“…First, a strong case could be made that the idea of naturalization is ultimately at odds with the spirit of neurophenomenology; secondly, and relatedly, Varela’s lax use of the term naturalization not only puts it at odds with the more ordinary interpretations of naturalism but also risks emptying it of any substantive content. …”
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Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II by J. M. Maillet, G. Niccoli, B. Pezelier

“…This article is a direct continuation of [1] where we begun the study of the transfer matrix spectral problem for the cyclic representations of the trigonometric 6-vertex reflection algebra associated to the Bazhanov-Stroganov Lax operator. There we addressed this problem for the case where one of the K-matrices describing the boundary conditions is triangular. …”
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