Results 31 to 40 of about 203,104 (277)
On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
Abstract and Applied Analysis, 2010 We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified
Min-Soo Kim, Daeyeoul Kim, Taekyun Kim
doaj +1 more source
A Survey of Alternating Permutations [PDF]
, 2009 This survey of alternating permutations and Euler numbers includes refinements of Euler numbers, other occurrences of Euler numbers, longest alternating subsequences, umbral enumeration of classes of alternating permutations, and the cd-index of the ...
Stanley, Richard P.
core +1 more source
Euler numbers of four-dimensional rotating black holes with the Euclidean signature
, 2005 For a black hole's spacetime manifold in the Euclidean signature, its metric is positive definite and therefore a Riemannian manifold. It can be regarded as a gravitational instanton and a topological characteristic which is the Euler number is ...
A. Sen +29 more
core +2 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
wiley +1 more source
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
, 2011 Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central point are determined by the Euler numbers of the Hilbert schemes of ...
Campillo +8 more
core +1 more source
Meta‐Rod Mechanical Metamaterials With Programmable Reconfiguration
Advanced Functional Materials, EarlyView.Existing mechanical metamaterials achieve programmable large deformations in planar square or cubic configurations, restricted by required complex boundary conditions. This research proposes a 1D metamaterial, Meta‐rod, with linear, bending, twisting, area, and volume deformation modes.
Atharva Pande, Lyes Kadem, Hang Xu
wiley +1 more source
Actuation of Cell Layers in Three Dimensions
Advanced Materials, EarlyView.ABSTRACT The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing fibroblasts on 2D‐patterned substrates and observing the contraction of cell sheets upon detachment from the
Kirsten Endresen +6 more
wiley +1 more source
De-Moivre and Euler Formulae for Dual-Complex Numbers
Universal Journal of Mathematics and Applications, 2019 In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
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Advanced Materials, EarlyView.Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
wiley +1 more source