Results 91 to 100 of about 217,821 (286)
The author discusses the usefulness of some concepts of the comparative convexity of two functions. He defines, for instance, \(f\) as \textit{absolutely} more convex than \(g\) on some interval \([a,b]\) if for all \(\lambda_1,\lambda_2\geq 0\), \(\lambda_1+ \lambda_2= 1\), and all \(x_1,x_2\in [a,b]\), \[ \lambda_1 f(x_1)+ \lambda_2f(x_2)- f ...
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On convex optimization without convex representation [PDF]
7 pages; 1 ...
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A two‐phase workflow (OFAT screening followed by central composite design) maps how processing variables tune PFCE‐PLGA nanoparticle size, dispersity, surface charge, loading, and 19F‐MRI signal. In situ, time‐resolved synchrotron SAXS tracks albumin‐corona growth on intact dispersions and reveals PFCE‐dependent adsorption pathways.
Joice Maria Joseph +11 more
wiley +1 more source
Monotonicity, convexity, and inequalities for the generalized elliptic integrals
We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals K a ( r ) $\mathscr{K}_{a}(r)$ and E a ( r ) $\mathscr {E}_{a}(r)$ depending on a parameter a ∈ ( 0 , 1 ) $a\in(0,1)$ , which contains an earlier
Tiren Huang, Shenyang Tan, Xiaohui Zhang
doaj +1 more source
Convex characterization of linearly convex domains
We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\mathbf{C}^n$ is linearly convex if and only if the convex hull of any two discs in $D$ with common center lies in $D$.
Nikolov, Nikolai, Thomas, Pascal J.
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Human periosteum‐derived cell spheroids bioprinted at high density within a hyaluronic acid matrix promote fusion and hypertrophic cartilage formation in vitro. Early encapsulation enhances spheroid interaction and matrix maturation, generating scalable cartilage templates intended for endochondral bone regeneration.
Ane Albillos Sanchez +6 more
wiley +1 more source
Unveiling the Role of Curvature in Carbon for Improved Energy Release of Ammonium Perchlorate
High‐curvature carbon materials identified via machine learning and simulation can enhance the heat release and combustion performance of ammonium perchlorate. ABSTRACT The catalytic role of carbon curvature in the thermal decomposition of ammonium perchlorate (AP) remains largely unexplored. To address this gap, this study employs machine learning and
Dan Liu +8 more
wiley +1 more source
Mergers among leaders and mergers among followers [PDF]
We are the first to confirm that sufficient cost convexity in a Stackelberg model generates profitable mergers between two leaders and between two followers.
John S. Heywood, Matthew McGinty
core
On φ-convexity of convex functions
The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique +1 more
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Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source

