Results 31 to 40 of about 4,347 (105)
Edge‐minimum saturated k‐planar drawings
Abstract For a class D of drawings of loopless (multi‐)graphs in the plane, a drawing D ∈ D is saturated when the addition of any edge to D results in D ′ ∉ D—this is analogous to saturated graphs in a graph class as introduced by Turán and Erdős, Hajnal, and Moon.
Steven Chaplick+4 more
wiley +1 more source
Calculating functional diversity metrics using neighbor‐joining trees
The study of functional diversity (FD) provides ways to understand phenomena as complex as community assembly or the dynamics of biodiversity change under multiple pressures. Different frameworks are used to quantify FD, either based on dissimilarity matrices (e.g. Rao entropy, functional dendrograms) or multidimensional spaces (e.g.
Pedro Cardoso+7 more
wiley +1 more source
We study integral operators related to a regularized version of the classical Poincar\'e path integral and the adjoint class generalizing Bogovski\u{\i}'s integral operator, acting on differential forms in $R^n$.
Alan McIntosh+15 more
core +2 more sources
Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez+1 more
wiley +1 more source
Starlikeness of sections of univalent functions [PDF]
Let ${\S}$ be the class of all normalized analytic and univalent functions in the unit disk $\ID$. In this paper, we determine condition so that each section $s_{n}(f,z)$ of $f\in {\S}$ is starlike in the disk $|z|\lt r_n$. In particular, $s_{n}(f,z)$ is starlike in $|z|\leq 1/2$ for $n \geq 47$.
Obradović, M., Ponnusamy, S.
openaire +3 more sources
Abstract Aim The continental island system comprising Sakhalin, Hokkaido and the southern Kuril Islands (SHSK) in northeastern Asia serves as one of the southernmost habitats for many boreal and arctic organisms, with colonization via land bridges formed during glacial periods.
Gohta Kinoshita+10 more
wiley +1 more source
The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles
Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
wiley +1 more source
Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close‐to‐Star Functions
Suppose that ST1 is a class of close‐to‐star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients.
Dong Guo+5 more
wiley +1 more source
A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed.
Kuptsov, Pavel V., Kuptsova, Anna V.
core +1 more source
Macromolecular Poly(N‐isopropylacrylamide) (PNIPAM) in Cancer Treatment and Beyond
Poly(N‐isopropylacrylamide) (PNIPAM) is a versatile polymer known for its phase transition properties, exhibiting a lower critical solution temperature (LCST) of approximately 32°C. Below this temperature, PNIPAM is hydrophilic, while above it, the polymer becomes hydrophobic, making it ideal for thermosensitive drug delivery systems (DDSs).
Siddhi Throat+2 more
wiley +1 more source