Results 41 to 50 of about 103,432 (283)

Hidden symmetries and large N factorisation for permutation invariant matrix observables

Journal of High Energy Physics, 2022
Permutation invariant polynomial functions of matrices have previously been studied as the observables in matrix models invariant under S N , the symmetric group of all permutations of N objects.
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam   +2 more
doaj   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Classifying and constraining local four photon and four graviton S-matrices

Journal of High Energy Physics, 2020
We study the space of all kinematically allowed four photon and four graviton S-matrices, polynomial in scattering momenta. We demonstrate that this space is the permutation invariant sector of a module over the ring of polynomials of the Mandelstam ...
Subham Dutta Chowdhury, Abhijit Gadde, Tushar Gopalka, Indranil Halder, Lavneet Janagal, Shiraz Minwalla   +5 more
doaj   +1 more source

Determination of a Type of Permutation Trinomials over Finite Fields [PDF]

, 2013
Let $f=a{\tt x} +b{\tt x}^q+{\tt x}^{2q-1}\in\Bbb F_q[{\tt x}]$. We find explicit conditions on $a$ and $b$ that are necessary and sufficient for $f$ to be a permutation polynomial of $\Bbb F_{q^2}$. This result allows us to solve a related problem. Let $
Hou, Xiang-dong
core   +1 more source

Enumerating Permutation Polynomials I: Permutations with Non-Maximal Degree

Finite Fields and Their Applications, 2002
Every permutation \(\sigma\) on the elements of \(\mathbb F_q\) (\(q>2\)) is uniquely represented by a polynomial \(f_\sigma\in\mathbb F_q[x]\) of degree \(\leq q-2\). A lower bound for the degree of \(f_\sigma\) is given by the number of fixed points of \(\sigma\) (\(\sigma\not=\text{id}\)).
MALVENUTO C, PAPPALARDI, FRANCESCO
openaire   +2 more sources

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Complete permutation polynomials from exceptional polynomials

Journal of Number Theory, 2017
We classify complete permutation polynomials of type $aX^{\frac{q^n-1}{q-1}+1}$ over the finite field with $q^n$ elements, for $n+1$ a prime and $n^4 < q$. For the case $n+1$ a power of the characteristic we study some known families. We also classify indecomposable exceptional polynomials of degree $8$ and $9$.
D. Bartoli, M. Giulietti, L. Quoos, G. Zini   +3 more
openaire   +6 more sources

Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation

Advanced Functional Materials, EarlyView.
Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu, Joel Aboagye, Marcella Edwards, Nick Rogozinski, Yufeng Wen, Angello Huerta Gomez, Zui Pan, Ge Zhang, Huaxiao Yang, Yi Hong   +9 more
wiley   +1 more source

Poly-Dragon: an efficient multivariate public key cryptosystem

Journal of Mathematical Cryptology, 2011
In this paper, we propose an efficient multivariate public key cryptosystem. Public key of our cryptosystem contains polynomials of total degree three in plaintext and ciphertext variables, two in plaintext variables and one in ciphertext variables ...
Singh Rajesh P., Saikia A., Sarma B. K.
doaj   +1 more source

A converse to the Grace--Walsh--Szeg\H{o} theorem

, 2008
We prove that the symmetrizer of a permutation group preserves stability of a polynomial if and only if the group is orbit homogeneous. A consequence is that the hypothesis of permutation invariance in the Grace-Walsh-Szeg\H{o} Coincidence Theorem cannot
DAVID G. WAGNER, Grace, PETTER BRÄNDÉN, Rahman   +3 more
core   +1 more source