On the affine analogue of Jack's and Macdonald's polynomials
We define the analogue of Jack's (Jacobi) polynomials, which were defined for finite-dimensional root system by Heckman and Opdam as eigenfunctions of trigonometric Sutherland operator for the affine root system $\hat A_{n-1}$. In the affine case, we define the polynomials as eigenfunctions of "affine Sutherland operator", which is Calogero-Sutherland ...
Etingof, Pavel, Kirillov Jr., Alexander
openaire +2 more sources
Body-Ordered Approximations of Atomic Properties. [PDF]
Thomas J, Chen H, Ortner C.
europepmc +1 more source
A Novel Surgical Approach to Induce an Ankle Joint Contracture in Rats
ABSTRACT Our primary aim was to establish a novel surgical immobilization approach to induce a persistent ankle plantar‐flexion contracture in the Wistar rat. A stainless steel suture was placed in experimental animals (n = 14) and pulled taut between the calcaneal bone and the knee joint, restricting dorsal‐flexion while still allowing for limited ...
Guido Geusebroek +5 more
wiley +1 more source
Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles
ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom +2 more
wiley +1 more source
The optics of the human eye at 8.6 µm resolution. [PDF]
Bonaque-González S +13 more
europepmc +1 more source
Back-propagation-assisted inverse design of structured light fields for given profiles of optical force. [PDF]
Zhao X, Lin H, Chen H, Zheng H, Ng J.
europepmc +1 more source
The Social Origins and Education of the British Civil Service Elite, 1945–2022
ABSTRACT We provide a fuller account than previously available of the extent of change in the social backgrounds of the British civil service elite from 1945 onwards. We consider our findings in relation to questions of meritocracy in recruitment to the elite and of the representativeness of the elite of the population at large.
Erzsébet Bukodi +2 more
wiley +1 more source
Research on the Mechanical Properties and Temperature Compensation of an Intelligent Pot Bearing for a Pipe-Type Welding Strain Gauge. [PDF]
Deng N, Zhang H, Ning F, Tang Z.
europepmc +1 more source
Fractional dynamic system simulating the growth of microbe. [PDF]
Hadid SB, Ibrahim RW.
europepmc +1 more source
Rianú: Multi-tissue tracking software for increased throughput of engineered cardiac tissue screening. [PDF]
Murphy JF, Costa KD, Turnbull IC.
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