Results 101 to 110 of about 603,795 (280)

Defining sagittal knee phenotypes via monopedal static anterior tibial translation. Part 1: Translating weight‐bearing sagittal position into clinical risk profiles

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Static anterior tibial translation (sATT) is a reproducible monopodal weight‐bearing radiographic parameter that reflects the resting sagittal position of the tibiofemoral joint. Distinct from manual laxity tests that quantify passive displacement limits, sATT captures the functional equilibrium of the tibia under physiological load ...
Mahmut Enes Kayaalp, Hamit Caglayan Kahraman, Tunay Erden, Christoph Lutter, Sven Scheffler, Omer Taser, Roland Becker, Michael T. Hirschmann, David H. Dejour   +8 more
wiley   +1 more source

Symmetries in Connection Preserving Deformations

Symmetry, Integrability and Geometry: Methods and Applications, 2011
e wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A_2+A_1)^{(1)}, may be expressed as a quotient of the lattice of connection preserving deformations ...
Christopher M. Ormerod
doaj   +1 more source

Negative flows and non-autonomous reductions of the Volterra lattice [PDF]

Open Communications in Nonlinear Mathematical Physics
We study reductions of the Volterra lattice corresponding to stationary equations for the additional, noncommutative subalgebra of symmetries. It is shown that, in the case of general position, such a reduction is equivalent to the stationary equation ...
V. E. Adler
doaj   +1 more source

Coronal alignment behaviour across the knee range of motion is associated with constitutional alignment and soft‐tissue balance: The REAL HKA classification

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To evaluate intraoperative, pre‐resection coronal alignment throughout the range of motion (ROM) in knees undergoing robotic‐assisted total knee arthroplasty (ra‐TKA), and to assess its relationship with the Coronal Plane Alignment of the Knee (CPAK) and the Robotic Evaluation of Articular Laxity (REAL) classifications.
Nikolaos Mylonakis, Eustathios Kenanidis, Alexander Maslaris, Peter Keyes Sculco, Eleftherios Tsiridis   +4 more
wiley   +1 more source

Yang-Baxter sigma models and their Lax Pairs

, 2014
Integrabilitu nelineárních ?-modelů lze chápat ve smyslu existence 1-parametrické Laxovy formulace příslušných polních rovnic. V práci [4] se ukázalo, že Yang-Baxterovy ?-modely jsou integrabilní.
Petrásek Filip
core  

Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs

, 2012
We present an approach for analyzing initial-boundary value problems for integrable equations whose Lax pairs involve 3×3 matrices. Whereas initial value problems for integrable equations can be analyzed by means of the classical Inverse Scattering ...
Lenells, Jonatan,
core   +1 more source

Lax pairs and Bäcklund transformations for a new (3+1)-dimensional integrable equation utilizing symbolic computation

Ain Shams Engineering Journal
This article discusses a new integrable wave equation in (3+1)-dimensions that describes shallow water waves. The auto–Bäcklund and Cole-Hopf transformations are constructed by means of the homogeneous balance approach, which results in numerous new ...
Adil Jhangeer, Asifa Zahid, Zeeshan Amjad, Nauman Raza, Taseer Muhammad   +4 more
doaj   +1 more source

Direct linearization approach to discrete integrable systems associated with ℤ_𝒩 graded Lax pairs. [PDF]

Proc Math Phys Eng Sci, 2020
Fu W.
europepmc   +1 more source

Defining sagittal knee phenotypes via monopedal static anterior tibial translation. Part 2: The assessment‐led personalization (ALP) system for indication and correction target planning in slope‐reducing osteotomy

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Current decision‐making for slope‐reducing osteotomy (SRO) often relies on isolated posterior tibial slope (PTS) thresholds, potentially misidentifying patients with acquired soft‐tissue decompensation or possibly overtreating those with an asymptomatic, inherently hyperlax baseline.
Mahmut Enes Kayaalp, Hamit Caglayan Kahraman, Tunay Erden, Christoph Lutter, Sven Scheffler, Omer Taser, Roland Becker, Michael T. Hirschmann, David H. Dejour   +8 more
wiley   +1 more source

Integrable Couplings and Two-Dimensional Unital Algebras

Axioms
The paper aims to demonstrate that a linear expansion in a unital two-dimensional algebra can generate integrable couplings, proposing a novel approach for their construction. The integrable couplings presented encompass a range of perturbation equations
Wen-Xiu Ma
doaj   +1 more source