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Trigonometric sequences and series [PDF]
, 2012 textThis report discusses the background of trigonometric sequences and series related to defining the sine and cosine functions. Proofs involving converging trigonometric sequences and series are presented using nontraditional methods.
Chu, Jessica Anna
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Energy Science &Engineering, EarlyView.A real‐time power quality disturbance generator is developed using virtual instrumentation based on LabVIEW and NI MyDAQ. The system generates IEEE‐standard PQ events with controllable noise and harmonics. Measurement uncertainty analysis confirms its reliability for realistic testing of Power Quality Disturbance detection and classification algorithms.
Abdullah Saud +5 more
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Exponential Tail Estimates for Lacunary Trigonometric Series
AxiomsWe establish precise exponential tail estimates for lacunary trigonometric sums of the form fN(x)=∑k=1Nckcos(2πnkx), under the Hadamard gap condition.
Maria Rosaria Formica +2 more
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Materials Genome Engineering Advances, EarlyView.This study breaks extrapolation barriers in alloy design by merging symbolic regression with latent space sampling. The dual‐strategy framework enables accurate prediction of high‐hardness properties and navigates uncharted compositional spaces. The approach successfully designs novel high‐entropy alloys with hardness exceeding 863.5 HV, demonstrating ...
Zhigang Yu +6 more
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Современная математика: Фундаментальные направленияWe consider a non-self-adjoint ordinary differential operator defined on a finite interval by an \( n \)th-order linear differential expression with a nonzero coefficient of the \( (n-1) \)th derivative and two-point Birkhoff regular boundary conditions.
V. S. Rykhlov
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On the calculation of rectangular plates by the trigonometric series
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The article is devoted to the question of applying the method of single trigonometric series to solving the plate bending problems. In this article the structure of this method is described, its main components are highlighted, the classical approach of
G.A. Yessenbayeva +2 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori +1 more
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Polymer Composites, EarlyView.Integrated analytical framework for tensile response of additively manufactured polymer composites, supported by experimental validation. ABSTRACT Additive manufacturing (AM) enables innovative product development through its material versatility and design freedom, further enhanced by advanced materials such as composites.
Ozgur Poyraz, Abas Abasov
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Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
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INTEGRABILITY OF TRIGONOMETRIC SERIES
Tamkang Journal of Mathematics, 1990 Generalization of the theorems of Taljakovskii [7] and Sing and Sharma [5] have been obtained.
openaire +4 more sources