Results 91 to 100 of about 21,799 (306)
Interactive animation on Directional derivatives & Level curves
, 2021 We present our short series of interactive animations on directional derivatives and level curves. This visualisation was developed for students of first-year mathematics courses at the Delft University of Technology.
Ranjha, Sayra (author) +7 more
core +1 more source
Fractal and FractionalWe are concerned in this paper with the stability and bifurcation problems for three-neuron-based bi-directional associative memory neural networks that are involved with time delays in transmission terms and possess Caputo fractional derivatives of non ...
Chengqiang Wang +3 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
wiley +1 more source
Directional derivatives and higher order chain rules for abelian functor calculus
, 2018 In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category of abelian categories and suitably homotopically defined functors, and ...
Tebbe, Amelia +9 more
core +1 more source
A genus six cyclic tetragonal reduction of the Benney equations [PDF]
, 2009 A reduction of Benney’s equations is constructed corresponding to Schwartz–Christoffel maps associated with a family of genus six cyclic tetragonal curves.
Gibbons, J., England, M.
core +1 more source
On weak subdifferentials, directional derivatives, and radial epiderivatives for nonconvex functions
, 2009 In this paper we study relations between the directional derivatives, the weak subdifferentials, and the radial epiderivatives for nonconvex real-valued functions.
Mammadov, Musa, Kasimbeyli, Refail
core +2 more sources
Fractional Powers of the Directional Derivative and a Maxwell–Gegenbauer Multipole Identity
Fractal and FractionalWe study fractional and complex powers of a fixed directional derivative in Rd, defined via a Marchaud-type singular integral representation. Under explicit convergence assumptions, this yields a pointwise nonlocal realization along rays.
Fethi Bouzeffour
doaj +1 more source
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Improved Directional Derivatives for Modifier-Adaptation Schemes [PDF]
The modifier-adaptation methodology enables real-time optimization (RTO) of plant operation in the presence of considerable plant-model mismatch. It requires the estimation of plant gradients.
Marchetti, Alejandro Gabriel +3 more
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Low‐Angle Grain Boundaries and Re‐Segregation in Single‐Crystalline Ni‐Base Superalloys
Advanced Engineering Materials, EarlyView.This work demonstrates that Re‐segregation at low‐angle grain boundaries (LAGBs) in Ni‐base superalloys is influenced by misorientation angle. Advanced microscopy and atom probe tomography reveal that higher misorientation angles increases Re‐segregation.
Alireza B. Parsa +9 more
wiley +1 more source