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It is proved that each bounded injective bilateral weighted shift $W$ satisfying the equality $W^{*n}W^{n}=(W^{*}W)^{n}$ for some integer $n\geq 2$ is quasinormal. For any integer $n\geq 2$, an example of a bounded non-quasinormal weighted shift $A$ on a
Pietrzycki, Paweł
core +1 more source
Part-Products of 1-Free Integer Compositions [PDF]
If $\vec{\lambda}$ is a composition of the positive integer $n$, define ${\bf B}(\vec{\lambda})$ to be the product of the parts of $\vec{\lambda}$. We present a modified version of Hitczenko's stopped sequence construction that leads to a proof of the asymptotic lognormality of ${\bf B}$ for random 1-free compositions (compositions containing no parts
openaire +2 more sources
Under what circumstances might every extension of a combinatorial structure contain more copies of another one than the original did? This property, which we call prolificity, holds universally in some cases (e.g., finite linear orders) and only ...
Murray Tannock, Michael Albert
doaj +1 more source
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Encoding Magnetic Anisotropies in Digital Light Processing 3D Printing
A hybrid magnetic device—combining a coaxial coil within a nested Halbach array—is presented, integrated into a DLP 3D printer to enable spatially resolved magnetic field control. This system enables complex, multimodal responses by programming liquid crystal elastomer resins for magnetic and thermal actuation, and by inducing electrically conductive ...
Eléonore Aïdonidis +11 more
wiley +1 more source
Iteration of Composition Operators on small Bergman spaces of Dirichlet series
The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
doaj +1 more source
Casting light on integer compositions
Abstract Integer compositions of n are viewed as bargraphs with n circular nodes or square cells in which the ith part of the composition $$x_i$$ x i is given by the ith ...
Blecher, Aubrey +2 more
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Sums of reciprocals modulo composite integers
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Cosgrave, John B., Dilcher, Karl
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A Note on the Compositions of an Integer [PDF]
Given an integer n, we define an r-composition of n as follows:An r-composition of n, (t1, ... , tr), is a set of ti where ti ≥ 1 is an integer for i = 1, ... , r such thatIf r is an integer such that 1 ≤ r ≤ n, we have, obviously, distinct r - compositions of n.
Narayana, T. V., Fulton, G. E.
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Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions
Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan +8 more
wiley +1 more source

