Results 71 to 80 of about 23,659 (299)
Charge‐Transfer‐Mediated Boron Magneto‐Ionics: Towards Voltage‐Driven Multi‐Ion Transport
Advanced 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
What power of two divides a weighted Catalan number? [PDF]
, 2006 Given a sequence of integers b=(b0,b1,b2,…) one gives a Dyck path P of length 2n the weightwt(P)=bh1bh2⋯bhn, where hi is the height of the ith ascent of P.
Bruce E. Sagan +3 more
core +1 more source
Coxeter-biCatalan combinatorics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We consider several counting problems related to Coxeter-Catalan combinatorics and conjecture that the problems all have the same answer, which we call the $W$ -biCatalan number. We prove the conjecture in many cases.
Emily Barnard, Nathan Reading
doaj +1 more source
Advanced 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
, 2001 A Catalan path of length n, is a path from (0,0) going N=(0,1) or E=(0,1) in each step, such that it stays under (or on) the line x=y and ending at (n,n) after 2n steps. Here we calculate the total area between the line y=x and all Catalan paths.
Woan, Wen-jin, Wen-jin Woan
core +1 more source
Catalan-like Numbers and Determinants
Journal of Combinatorial Theory, Series A, 1999 The Catalan numbers play a central role in enumerations. They can be defined by recursion but also via so-called Hankel matrices. The Motzkin numbers are defined by a very similar recursion, and Aigner also found a description using Hankel matrices. Both types of numbers are involved in several classical formulae with binomial coefficients (and with ...
openaire +2 more sources
Advanced Science, EarlyView.A magneto‐ionic security‐by‐materials‐design strategy exploits voltage‐driven N3– migration in selectively contacted FeCoN dots, creating reconfigurable sub‐15 nm ferromagnetic sublayers with deterministic and/or probabilistic (single‐domain↔vortex) states, voltage‐tunable probabilities and fully stochastic orientation/chirality.
Irena Spasojevic +4 more
wiley +1 more source
On Coloring Catalan Number Distance Graphs and Interference Graphs [PDF]
, 2018 A vertex coloring of a graph G is a mapping that allots colors to the vertices of G. Such a coloring is said to be a proper vertex coloring if two vertices joined by an edge receive different colors.
Venkataraman Yegnanarayanan +2 more
core +1 more source
On ideal convergence of sequences via Catalan matrix operator
Miskolc Mathematical NotesCatalan sequence initially introduced by Euler but named after Eugene Catalan has found abundant applications in the fields of probability theory, number theory, analysis, combinatorics etc.
Vakeel Ahmad Khan, Mikail Et, Umme Tuba
doaj +1 more source
Journal of Patient-Reported Outcomes, 2022 Purpose Pectus excavatum (PE) is the most common congenital chest wall deformity. It can have a negative effect in exercise tolerance. However, cosmetic features are the most frequent concerns in these patients.
Irene de Haro Jorge +5 more
doaj +1 more source