Results 81 to 90 of about 693,136 (285)
Constant terms in powers of a Laurent polynomial
The following is a conjecture of O. Mathieu: Let \(K\) be a connected real compact Lie group. Let \(f\) and \(g\) be \(K\)-finite functions on \(K\). Assume for all \(n \geq 1\) that the constant term of \(f^{n}\) vanishes, i.e. \[ \int_{K} f^{n}(k) \;dk = 0 .
Duistermaat, J.J., Kallen, W. van der
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A Self‐Healing Magnetoelectric Sensor with Pain Sensing for Underwater Soft Electronics
This study introduces a self‐healing magnetoelectric sensory system designed for amphibious soft electronics. By utilizing liquid‐metal conductors and self‐healing elastomers, the system enables autonomous recovery from mechanical damage. Its multilayered architecture features dual self‐powered proximity and tactile sensing alongside pain sensing in ...
Xuan Zhang +6 more
wiley +1 more source
Constant congestion linkages in polynomially strong digraphs in polynomial time
Given integers $k,c > 0$, we say that a digraph $D$ is $(k,c)$-linked if for every pair of ordered sets $\{s_1, \ldots, s_k\}$ and $\{t_1, \ldots, t_k\}$ of vertices of $D$, there are $P_1, \ldots, P_k$ such that for $i \in [k]$ each $P_i$ is a path from $s_i$ to $t_i$ and every vertex of $D$ appears in at most $c$ of those paths.
Raul Lopes, Ignasi Sau
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Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger +14 more
wiley +1 more source
Generalized Chebyshev Polynomials
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
doaj +1 more source
A Polynomial Optimization Approach to Constant Rebalanced Portfolio Selection [PDF]
We address the multi-period portfolio optimization problem with the constant rebalancing strategy. This problem is formulated as a polynomial optimization problem (POP) by using a mean-variance criterion.
Sotirov, R., Takano, Y.
core +1 more source
Orthogonal Dirichlet polynomials with constant weight
Let {?j}? j=1 be a sequence of distinct positive numbers. We analyze the orthogonal Dirichlet polynomials {?n,T} formed from linear combinations of {?-it,j}n j=1 , associated with constant (or Legendre) weight on [-T, T]. Thus 1/2T ? T,-T ?n,T (t) ?m,T(t)dt = ?mn. Moreover, we analyze how these polynomials behave as T varies.
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Constant-Size Commitments to Polynomials and Their Applications [PDF]
We introduce and formally define polynomial commitment schemes, and provide two efficient constructions. A polynomial commitment scheme allows a committer to commit to a polynomial with a short string that can be used by a verifier to confirm claimed evaluations of the committed polynomial.
Kate, A., Zaverucha, G., Goldberg, I.
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AI–Guided 4D Printing of Carnivorous Plants–Inspired Microneedles for Accelerated Wound Healing
This work presents an artificial intelligence (AI)‐guided 4D‐printed microneedle platform inspired by carnivorous plants for wound healing. A thermo‐responsive shape memory polymer enables body temperature–triggered self‐coiling for autonomous wound closure.
Hyun Lee +21 more
wiley +1 more source
Algebraic derivations with constants satisfying a polynomial identity
The authors continue the line of investigation started by \textit{I. N. Herstein} and \textit{L. Neumann} [Ann. Mat. Pura Appl., IV. Ser. 102, 37-44 (1975; Zbl 0302.16020)]. The philosophy is that if \(R\) is a unitary algebra over a commutative ring \(C\) and \(b\in R\) is integral over \(C\), then the centralizer \(C_R(b)\) is large enough in the ...
Chuang, C. L., Lee, T. K.
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