Results 141 to 150 of about 9,574,302 (235)
Insight into the Fractional Calculus via a Spreadsheet
Spreadsheets in Education, 2009 Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins
David A Miller, Stephen J Sugden
doaj +2 more sources
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
Optimal control of fractional systems: a diffusive formulation [PDF]
, 2010 Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core
Harnessing Machine Learning to Understand and Design Disordered Solids
Advanced Intelligent Discovery, EarlyView.This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley +1 more source
Advanced Intelligent Discovery, EarlyView.A machine learning framework simultaneously predicts four critical properties of monomers for emulsion polymerization: propagation rate constant, reactivity ratios, glass transition temperature, and water solubility. These tools can be used to systematically identify viable bio‐based monomer pairs as replacements for conventional formulations, with ...
Kiarash Farajzadehahary +1 more
wiley +1 more source
International Journal of Differential EquationsIn order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher-order q,τ-Bernoulli functions and polynomials.
Shaher Momani, Rabha W. Ibrahim
doaj +1 more source
Physics‐Grounded Probabilistic Bits for Hardware‐Efficient Intelligent Inference and Optimization
Advanced Intelligent Systems, EarlyView.Si–SiNx interface traps are harnessed as a complementary metal–oxide–semiconductor‐compatible source of controllable randomness for probabilistic bits. Pulse‐width‐programmed stochastic capture converts nanoscale defect dynamics into Boltzmann‐consistent binary outputs, while a physics‐based Simulation Program with Integrated Circuit Emphasis model ...
Dokyoung Lee +3 more
wiley +1 more source
Approximation of fractional-order integrals by algebraic polynomials. II
, 1999 Досліджуються наближення алгебраїчними многочленами функцій, які є інтегралами дробового порядку від обмежених функцій.We investigate the approximation of functions that are fractional-order integrals of bounded functions by algebraic ...
Моторный, В.П.
core +1 more source
Interpretable Short‐Term Electric Load Forecasting
Advanced Intelligent Systems, EarlyView.A temporal fusion transformer is implemented to generate day‐ahead forecasts of the hourly electrical load of a departmentbuilding at an Italian university. A forecasting performance improvement of more than 25% compared with established benchmark models and a provision of inherent robust interpretability insights reveal the potential of this model for
Alessandro Nicola +6 more
wiley +1 more source