Results 51 to 60 of about 19,167 (257)
On generalised catalan numbers
Discrete Mathematics, 1978 AbstractThe Catalan number Cn is defined to be 2nn(n+1). One of its occurrences is as the number of ways of bracketing a product of n+1 terms taken from a set with binary operation. In this note the corresponding result for a set with a k-ary operation is considered.
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Some properties of the Catalan–Qi function related to the Catalan numbers [PDF]
SpringerPlus, 2016 In the paper, the authors find some properties of the Catalan numbers, the Catalan function, and the Catalan-Qi function which is a generalization of the Catalan numbers. Concretely speaking, the authors present a new expression, asymptotic expansions, integral representations, logarithmic convexity, complete monotonicity, minimality, logarithmically ...
Feng Qi +3 more
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Advanced Materials, EarlyView.The Y supersaturation in the [Ba‐Cu(I/II)‐O] transient liquid composition is the driving force toward YBCO nucleation and growth in TLAG. Tuning the initial (Ba:Cu) molar ratio in the ink composition determines the YBCO epitaxial nucleation through supersaturation control.
Lavinia Saltarelli +12 more
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Two explicit formulas for the generalized Motzkin numbers
Journal of Inequalities and Applications, 2017 In the paper, by the Faà di Bruno formula, the authors establish two explicit formulas for the Motzkin numbers, the generalized Motzkin numbers, and the restricted hexagonal numbers.
Jiao-Lian Zhao, Feng Qi
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Catalan Numbers for the Classroom?
Elemente der Mathematik, 1997 The author describes the experiences with 13-14 years old pupils in a project on Catalan numbers. She asserts that solving simple combinatorial problems plays an important role in developing thought processes, and should be practised throughout secondary school.
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Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
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Studia Romanica Posnaniensia, 2016 This paper aims to investigate the Classical proverbs listed as equivalents to the Catalan proverb L’amic, prova’l primer ans que l’hages menesterby Sebastià Farnés in his volume entitled Paremiologia catalana comparada. In this paper, I
Xavier Pascual-López
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Some structures of the catalan numbers I [PDF]
ریاضی و جامعهThe Catalan numbers are ubiquitous in counting problems which is one of the primary reasons for its popularity. From various sources like books and Wikipedia we see that in combinatorial mathematics.
Daniel Yaqubi, Madjid Mirzavaziri
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