Results 51 to 60 of about 646,451 (325)

HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES

Barekeng
Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial
Eka Oktaviansyah, Edi Kurniadi, Dianne Amor Kusuma   +2 more
doaj   +1 more source

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations [PDF]

, 2010
In this Note, we present a Calder\'on-type uniqueness theorem on the Cauchy problem of stochastic partial differential equations. To this aim, we introduce the concept of stochastic pseudo-differential operators, and establish their boundedness and other
Liu, Xu, Zhang, Xu
core  

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, Masoud Mansouri, Carlos Garcia‐Fernandez, Daniel Sánchez‐Portal, Aran Garcia‐Lekue, Gustavo Ceballos, Aitor Mugarza   +6 more
wiley   +1 more source

Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control

Journal of Engineering, 2015
Based on the heteroclinic Shil’nikov theorem and switching control, a kind of multipiecewise linear chaotic system is constructed in this paper. Firstly, two fundamental linear systems are constructed via linearization of a chaotic system at its two ...
Chunyan Han, Fang Yuan, Xiaoyuan Wang
doaj   +1 more source

Some fundamental theorems in the interval-valued functions and time scales [PDF]

Journal of Mahani Mathematical Research
This research investigates the topological structure of the space of interval-valued functions equipped with an order relation defined by open balls. The aim is to establish analogues of fundamental theorems in calculus, including Bolzano’s theorem, the ...
Tahere Shokoohi, Seyed Mohammad Sadegh Modarres Mosadegh, Azam Karami   +2 more
doaj   +1 more source

Colloidal Heterostructures Enable Interfacial Transport of Immiscible Molecules in Printable Organohydrogels

Advanced Materials, EarlyView.
Multiphase printable organohydrogels with tunable microstructures are developed to control molecular transport pathways for immiscible cargo. The tortuosity and domain size of the colloidal phases are tuned by adjusting temperature and shear during processing, which enables the tailoring of diffusion kinetics due to different transport pathways.
Riley E. Dowdy‐Green, Rony Waheibi, Nazanin Shakoury, Yuemei Ye, Lilian C. Hsiao   +4 more
wiley   +1 more source

Finite partially ordered set and some of its properties

Bibechana, 2015
This paper focuses on some main properties of the finite partially ordered sets. These properties are furnished in the form of theorems. Here we have presented three such theorems. The first theorem is called as ‘duality theorem’.
RN Yadav, SK Chakrabarti, IS Jha, UP Yadav   +3 more
doaj   +3 more sources

On the existence of real R-matrices for virtual link invariants [PDF]

, 2015
We characterize the virtual link invariants that can be described as partition function of a real-valued R-matrix, by being weakly reflection positive.
Regts, Guus, Schrijver, Alexander, Sevenster, Bart   +2 more
core   +1 more source

Nonequilibrium Period with Emergence of Marangoni Circulations in Meniscus Splitting

Advanced Materials Interfaces, EarlyView.
The emergence and evolution of Marangoni convection in the meniscus splitting phenomenon are investigated. During the mass circulation of viscous fluids, the confluence and bifurcation of polymer dispersions beneath the evaporative interface lead to the inhomogeneous densification of the skin layer.
Leijie Wu, Kosuke Okeyoshi
wiley   +1 more source