Results 231 to 240 of about 7,186 (267)
ABSTRACT Porous gas bearings (PGBs) enable high‐speed, oil‐free operation in modern rotating machinery. This study develops a coupled thermo‐hydrodynamic (THD) model for a cylindrical porous gas bearing lubricated with four working fluids—air, R‐134a, helium and hydrogen.
S. Bechiri, B. Bouchehit, B. Bou‐Saïd
wiley +1 more source
Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]
Caputi L, Pidnebesna A, Hlinka J.
europepmc +1 more source
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
Some Properties of the Plaquette Random-Cluster Model. [PDF]
Duncan P, Schweinhart B.
europepmc +1 more source
Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation
ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
wiley +1 more source
MathOdyssey: Benchmarking Mathematical Problem-Solving Skills in Large Language Models Using Odyssey Math Data. [PDF]
Fang M, Wan X, Lu F, Xing F, Zou K.
europepmc +1 more source
Abstract This systematic review analyses 32 studies published between 2013 and 2024 on the Mathematics Teacher's Specialised Knowledge (MTSK) model, with the aim of understanding its theoretical development, practical applications and contributions to teacher education in secondary and pre‐university contexts.
Daniel Martín‐Cudero
wiley +1 more source
Relativistic triangle-curvature computing for federated HIV-1 protein-sequence monitoring. [PDF]
Villalba-Díez J, González-Marcos A.
europepmc +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source

