Results 91 to 100 of about 1,655,826 (313)

On Some Properties of Bihyperbolic Numbers of The Lucas Type

open access: yesCommunications in Advanced Mathematical Sciences, 2023
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
doaj   +1 more source

Highly Flexible and Conformable ZnO/FeGa Magnetoelectric Heterostructures for Skin wound Healing

open access: yesAdvanced Science, EarlyView.
The magnetic field‐induced electric field generated by a highly flexile ZnO(piezoelectric)/FeGa(magnetostrictive) magnetoelectric heterostructure embedded in the low Young's modulus elastomer PDMS has been used to stimulate the wound healing processes.
Filippos Perdikos   +17 more
wiley   +1 more source

An introduction to Catalan numbers [PDF]

open access: yes, 2015
This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics.  Intended to be accessible to students new to the subject, the book begins with more elementary topics ...
Roman, Steven
core   +1 more source

Bijections between noncrossing and nonnesting partitions for classical reflection groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We present $\textit{type preserving}$ bijections between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of Athanasiadis and Reiner. The bijections for the abstract Coxeter types $B$, $C$ and $D$ are new in
Alex Fink, Benjamin Iriarte Giraldo
doaj   +1 more source

Geometry‐Controlled Assembly of Self‐Standing Nanorods With Undisturbed Plasmonics

open access: yesAdvanced Science, EarlyView.
This study reports a geometry‐driven assembly strategy to vertically align Au@Ag core–shell nanorods on PS beads. This well‐defined architecture enables the preservation of the intrinsic optical response of individual nanorods. Thus, demonstrate a highly reproducible SERS enhancement with exceptional uniformity.
Yoel Negrin‐Montecelo   +5 more
wiley   +1 more source

Growing and Destroying Catalan-Stanley Trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers.
Benjamin Hackl, Helmut Prodinger
doaj   +1 more source

Charge‐Transfer‐Mediated Boron Magneto‐Ionics: Towards Voltage‐Driven Multi‐Ion Transport

open access: yesAdvanced Science, EarlyView.
This study demonstrates voltage‐driven multi‐ion transport in FeBO systems, revealing simultaneous motion of B, Fe, and O ions enabled by charge‐transfer effects. By tuning oxidation states through oxygen incorporation, we achieve a transition from electrostatic‐like to electrochemical magneto‐ionic behavior. The findings establish boron magneto‐ionics,
Zheng Ma   +15 more
wiley   +1 more source

Neuropeptide Y—Graphene Oxide Complexes Inhibit Amygdala NPY‐Receptor Expressing Glutamatergic Pathways and Selectively Remove Aversive Memory In Vivo

open access: yesAdvanced Science, EarlyView.
A graphene oxide nanocarrier presents neuropeptide Y specifically to NPY receptor‐expressing pathways in the amygdala, whose activation selectively suppresses aversive memory formation, without modulating anxiety responses. This circuit‐restricted drug release strategy may impact future design of neuropsychiatric therapies with limited off‐target ...
Elisa Pati   +10 more
wiley   +1 more source

On some new properties of catalan numbers. [PDF]

open access: yes, 2012
It is well known that Catalan Numbers are used in Mathematical Biology as Enumerating RNA secondary structures for finite points.
Mohd Atan, Kamel Ariffin   +1 more
core   +1 more source

Success Run Waiting Times and Fuss-Catalan Numbers

open access: yesJournal of Probability and Statistics, 2015
We present power series expressions for all the roots of the auxiliary equation of the recurrence relation for the distribution of the waiting time for the first run of k consecutive successes in a sequence of independent Bernoulli trials, that is, the ...
S. J. Dilworth, S. R. Mane
doaj   +1 more source

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