Results 51 to 60 of about 173,242 (326)
Stochastically Generated Digital Twins of 3D Solid‐State Electrolyte Architecture
Digital Twins of random porous tape‐cast solid‐state battery architectures across µm to mm feature sizes from FIB‐SEM to X‐Ray µCT, respectively. Abstract Solid‐state lithium batteries (SSBs) have the potential to overcome conventional Li‐ion batteries in performance and safety.
Jonathan O'Neill +3 more
wiley +1 more source
Fixed Point Theorem for Monotone Non-Expansive Mappings
In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
doaj
The Daugavet equation in uniformly convex Banach spaces
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Charalambos D. Aliprantis +2 more
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Locking Metastable Topological Domains in Nematic Liquid Crystal Pi Cells
Selective photopolymerization in the presence of a controlled voltage defines permanent director walls that lock‐in metastable bend and twist configurations within nematic liquid crystal Pi cells. Q‐tensor simulations corroborate the experiments, demonstrating the topological state stabilization.
Adithya Pradeep +7 more
wiley +1 more source
Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces
We define and study Browder's fixed point theorem and relation between an intuitionistic fuzzy convex normed space and a strong intuitionistic fuzzy uniformly convex normed space.
Cancan M
doaj
Steepest Descent on a Uniformly Convex Space
This paper contains some generalizations of well-known results on the steepest descent method to find zeros or critical points of nonnegative \(C^2\) functions. The results known from the literature in Hilbert spaces are extended to uniformly convex Banach spaces. The theoretical findings are illustrated by two case studies.
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On Set Correspondences into Uniformly Convex Banach Spaces [PDF]
It is proved that the values of a set-valued set function, the total variation of which is an atomless finite measure, are conditionally convex. Let E be a nonempty o-field of subsets of a set S. A (set) correspondence, say 1, from E to a Banach space X maps, by definition, every element E of E to IF(E), a nonempty subset of X.
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Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H +12 more
core +1 more source
Electromagnetic interference (EMI) shields consisting of polylactic acid (PLA) in layers with different concentrations of multiwalled carbon nanotubes (MWCNT) are produced using additive manufacturing. The permittivity function of layers with different filler concentrations is learned using data of homogeneous and randomly ordered shields.
Stijn De Smedt +5 more
wiley +1 more source
Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
In a Hilbert space \(H\) the norm satisfies the so-called polarization identity: \[ \| x+y\|^ 2=\| x\|^ 2+2 \text{Re}\langle x,y\rangle+\| y\|^ 2. \] A number of authors (e.g. Reich, Kay, Bynum and Drew, Ishikawa, Prus and Smarzewski) have derived inequalities which generalize (in one way or another) the polarization identity to \(L^ p\)-spaces, or ...
Zongben Xu, G. F. Roach
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