Results 101 to 110 of about 1,655,826 (313)

On generalized bihyperbolic Mersenne numbers [PDF]

Mathematica Bohemica
In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained.
Dorota Bród, Anetta Szynal-Liana
doaj   +1 more source

The inverse of a triangular matrix and several identities of the Catalan numbers

Applicable Analysis and Discrete Mathematics, 2019
In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer powers and higher order derivatives of the generating
Feng Qi (祁锋), Qing Zou, Bai-Ni Guo (郭白妮)   +2 more
semanticscholar   +1 more source

Voltage‐Reconfigurable Magneto‐Ionic Nanolayers in Dot Arrays for Probabilistic, Materials‐Engineered Security Primitives

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, Federica Celegato, Alessandro Magni, Paola Tiberto, Jordi Sort   +4 more
wiley   +1 more source

Catalan numbers and Pascal's Triangle [PDF]

, 2017
Die Diplomarbeit behandelt sowohl die Catalan-Zahlen, als auch einige grundsätzliche Ideen des Pascalschen Dreiecks. Nach einem kurzen, historischen Überblick über die Erforschung der Catalan-Zahlen folgen einige Definitionen, die im Laufe der Zeit ...
Unterluggauer, Philipp
core  

Some factorisations counted by Catalan numbers [PDF]

, 2006
In this paper, yet another occurrence of the Catalan numbers is presented; it is shown that the number of primitive factorisations of the cyclic permutation into n transpositions is Cn, the n-th Catalan number.
DANIELE A. GEWURZ, Gewurz, Daniele A., MEROLA, FRANCESCA   +2 more
core   +1 more source

SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range

Advanced Electronic Materials, EarlyView.
A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel, Aleix Barrera, Lluís Balcells, Narcís Mestres, Enrique Miranda, Anna Palau, Jordi Suñé   +6 more
wiley   +1 more source

Some explicit expressions for twisted q-analogues of Catalan numbers and polynomials [PDF]

Discrete Mathematics Letters, 2022
Dongkyu Lim
doaj   +1 more source

On ideal convergence of sequences via Catalan matrix operator

Miskolc Mathematical Notes
Catalan 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

On a generalization of the Gadovan numbers [PDF]

Mathematica Moravica
In this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity,
Özkan Engın, Eser Engın, Uysal Mıne
doaj   +1 more source

Proofs of two conjectures involving sums of normalized Narayana numbers

Demonstratio Mathematica
Narayana numbers are well-known and have many applications in the field of combinatorics. The Narayana numbers form a triangular array, where the sum of the nth row is the nth Catalan number.
Goldman Ron, Simeonov Plamen, Zafiris Vasilis   +2 more
doaj   +1 more source