Results 61 to 70 of about 5,854 (265)

Solutions for Initial Boundary Value Problems for Some Degenerate Equations Systems of Fractional Order with Respect to the Time

Известия Иркутского государственного университета: Серия "Математика", 2015
Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional order in a Banach space is used for deriving of necessary and sufficient conditions of solvability for some arising in hydrodynamics equations systems of ...
D.M. Gordievskikh, V.E. Fedorov
doaj  

Explicit Bounds for Linear Forms in the Exponentials of Algebraic Numbers

Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, 2022
In this paper, we study linear forms \[λ= β_1\mathrm{e}^{α_1}+\cdots+β_m\mathrm{e}^{α_m},\] where $α_i$ and $β_i$ are algebraic numbers. An explicit lower bound for the absolute value of $λ$ is proved, which is derived from "théorème de Lindemann--Weierstrass effectif" via constructive methods in algebraic computation.
openaire   +2 more sources

Concurrent Terahertz Spin Excitations and Phase Shift Control in Fe4Nb2O9: A Material for Synergizing Computation and Communication Technologies

Advanced Science, EarlyView.
A multifunctional terahertz (THz) platform is demonstrated, in a model material Fe4Nb2O9, exhibiting a large intrinsic THz phase shift alongside distinct THz magnon excitations in its antiferromagnetic phase. This coexistence of phase modulation and spin dynamics offers a promising pathway toward integrated THz communication and magnonic computation ...
Brijesh Singh Mehra, Karan Datt Sharma, Sanjeev Kumar, Gaurav Dubey, Mitanshi Gupta, Ravi Shankar Singh, Dibakar Roy Chowdhury, Christine Martin, Antoine Maignan, Kiran Singh, Dhanvir Singh Rana   +10 more
wiley   +1 more source

TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens

Advanced Science, EarlyView.
ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan, Yuqing Zhang, Wangzhe Zhou, Zhaojian Zhang, Xiaoyun He, Xinpeng Jiang, Yiyi Li, Xin He, Jiagui Wu, Yuanmu Yang, Junbo Yang   +10 more
wiley   +1 more source

Power graphs and exchange property for resolving sets

Open Mathematics, 2019
Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton twins is given.
Abbas Ghulam, Ali Usman, Munir Mobeen, Bokhary Syed Ahtsham Ul Haq, Kang Shin Min   +4 more
doaj   +1 more source

The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems [PDF]

Quantum
Qudits with local dimension $d \gt 2$ can have unique structure and uses that qubits ($d=2$) cannot. Qudit Pauli operators provide a very useful basis of the space of qudit states and operators.
Rahul Sarkar, Theodore J. Yoder
doaj   +1 more source

The Index and Split Forms of Linear Differential-Algebraic Equations

The Bulletin of Irkutsk State University. Series Mathematics, 2019
Differential-algebraic equations (DAEs) composed by linear systems of ordinary differential equations (ODE) with rectangular matrices of coefficients are considered, including the case when the matrix before the derivative of the desired vector function has not full rank for all argument values from the domain. Criteria for the existence of nonsingular
M.V. Bulatov, V.F. Chistyakov
openaire   +2 more sources

Beyond Percolation: Graphene‐Enabled Network Reinforcement Enhances Thermal Transport in Paraffin Phase‐Change Composites

Advanced Science, EarlyView.
Expanded‐graphite/graphene‐nanoplatelet hybrids deliver a near‐order‐of‐magnitude thermal‐conductivity enhancement in paraffin phase‐change materials. A microCT‐informed 3D modeling framework resolves the percolating EG backbone and captures sub‐voxel GNP enrichment, quantitatively linking microstructure to heat flow and revealing a graphene‐enabled ...
Thomas Hoke, Jackson Hoke, Shucheng Guo, Brittany Chan, Xi Chen   +4 more
wiley   +1 more source

Luo Shu

SAGE Open, 2015
Feng Shui, still popularly practiced today, was closely related to philosophy, natural science, geography, environmental science, architecture, metaphysics, and astrology in ancient China.
Albert Ting Pat So, Eric Lee, Kin Lun Li, Dickson Koon Sing Leung   +3 more
doaj   +1 more source

Freeness of linear and quadratic forms in von Neumann algebras

Journal of Functional Analysis, 2011
We characterize semicircular distribution by the freeness of linear and quadratic forms in noncommutative random variables from a tracial $W^*$-probability space with relaxed moment conditions.
Chistyakov, Gennadiy, Götze, Friedrich, Lehner, F.   +2 more
openaire   +3 more sources