Results 111 to 120 of about 52,586 (291)

Construction of a Lax Pair for the E_6^{(1)} q-Painlevé System

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We construct a Lax pair for the $ E^{(1)}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv ...
Christopher M. Ormerod, Nicholas S. Witte   +1 more
doaj   +1 more source

Integrable spin Calogero-Moser systems

, 2001
We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations.
Li, Luen-Chau, Xu, Ping
core   +1 more source

Quantum Lax Pairs via Dunkl and Cherednik Operators [PDF]

Communications in Mathematical Physics, 2019
Minor editorial changes to the introduction.
openaire   +4 more sources

Underestimation of tibial tuberosity–trochlear groove distance in conventional knee magnetic resonance imaging compared to full‐extension imaging

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To assess the effect of the knee flexion on the tibial tuberosity–trochlear groove (TT–TG) distance measurement by comparing conventional and whole‐leg rotational magnetic resonance imaging (MRI). Methods This retrospective cohort study included 45 patients with patellar dislocations who had undergone both conventional knee MRI with ...
Chantal Gaudes, Lena Eggeling, Vito Gaetano Rinaldi, David Dejour, Stefano Zaffagnini, Roland Becker, Sebastian Kopf   +6 more
wiley   +1 more source

Cross-linguistic Phonological Transfer:

Crossings
The perception and acquisition of non-native tense and lax vowel contrasts have been the subject of extensive research (Bustos et al., 2023; Chang, 2023; Fabra & Romero, 2012; Lai, 2010). Previous studies have highlighted various factors influencing the
Jahurul Islam, Md. Sayeed Anwar, Shahriar Mohammad Kamal   +2 more
doaj   +1 more source

A Revised Understanding of Petalomonad Diversity (Petalomonadida; Euglenida) Enabled by a Cultivation Approach, With Five New Species and Two New Genera. [PDF]

J Eukaryot Microbiol
ABSTRACT Euglenids are an important group of free‐living phototrophic, osmotrophic, or phagotrophic protists, with most of the phylogenetic diversity represented by phagotrophs. One major subgroup of phagotrophs is the petalomonads: rigid, often relatively small cells with few pellicle strips (usually 4–8).
Lee WJ, Lax G, Weston EJ, Packer JA, Hall A, Kim SY, Jeong DH, Simpson AGB.   +7 more
europepmc   +2 more sources

Targeting ligament boundaries rather than alignment boundaries in augmented‐reality‐assisted total knee arthroplasty ensures comparable gait patterns between operated and contralateral limbs

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Modern personalised total knee arthroplasty (TKA) techniques aim to mimic natural knee kinematics by focusing on soft‐tissue dynamics rather than static alignment. However, a consistent definition of the optimal ligamentous balance has not yet been established.
Michael Engl, Fjorela Qordja, Guido Bocchino, Giulio Maccauro, Sebastian Schaller, Andrea Giordano Salvi, Luca De Berardinis, Michele Paolo Festini Capello, Pieralberto Valpiana, Pier Francesco Indelli   +9 more
wiley   +1 more source

Managing the meniscus Part 2: Traumatic tear patterns, biologic augmentation, transplantation, innovation and future research

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Acute, traumatic meniscus tears are common and should be repaired whenever possible. However, the biological age of the patient, along with the specific tear morphology, may significantly influence the selection of the repair technique, expected clinical outcomes and the postoperative rehabilitation protocol.
Armin Runer, Matthew P. Kolevar, Ehab M. Nazzal, Jonathan D. Hughes, Sebastian Kopf, Aaron J. Krych, Michael T. Hirschmann, Robert F. LaPrade, Alan Getgood, Tim Spalding, Robert Prill, Maria Tuca, Matthieu Ollivier, Sebastian Siebenlist, Sachin Tapasvi, Volker Musahl   +15 more
wiley   +1 more source

On commuting differential operators

Electronic Journal of Differential Equations, 2000
The theory of commuting linear differential expressions has received a lot of attention since Lax presented his description of the KdV hierarchy by Lax pairs $(P,L)$. Gesztesy and the present author have established a relationship of this circle of ideas
R. Weikard
doaj  

Lax pairs for additive difference Painlev�� equations

, 2016
9 pages, 2 figures, 1 ...
openaire   +2 more sources