Results 21 to 30 of about 3,909 (206)
Conformable chebyshev differential Equation of first kind
International Journal of Electrical and Computer Engineering (IJECE), 2021 In this paper, the Chebyshev-I conformable differential equation is considered. A proper power series is examined; there are two solutions, the even solution and the odd solution. The Rodrigues’ type formula is also allocated for the conformable Chebyshev-I polynomials.
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Torque‐Transmitting Architected Metamaterials for Flexible and Extendable Tubular Robotics
Advanced Intelligent Systems, EarlyView.Soft and continuum robots commonly rely on fluid, tendon, or rod‐based power transmissions, to control robotic form and actuation. This study presents an architected structure, based on patterned straight‐line mechanisms, that enables simultaneous bending, extending, and torsionally rigid (BETR) transmission.
Sawyer Thomas, Aman Garg, Jeffery Lipton
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The Chebyshev solution of certain matrix equations
Numerische Mathematik, 1990 The problem of approximating ann x m matrixC by matrices of the formX A+B Y whereA, B, X andY are of appropriate size is considered. The measure of error is the supremum of the absolute values of the individual entries in the error matrix. The problem is closely related to that of approximating a bivariate functionf by sums of functions of the formxh ...
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Advanced Intelligent Systems, EarlyView.This study investigates how gaze mode and stimulus brightness affect augmented reality‐based steady‐state visual evoked potentials (AR‐SSVEP) brain‐computer interface (BCI) performance. Experiments with 20 participants show that binocular gaze improves recognition accuracy and stimulus luminance impacts performance.
Yiting Geng +6 more
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Random discrete probability measures based on a negative binomial process
Canadian Journal of Statistics, EarlyView.Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
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A new Chebyshev family with applications to Abel equations
Journal of Differential Equations, 2012 Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064.
Gasull, Armengol, Torregrosa, Joan
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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Strain analysis of black‐to‐yellow phase transitions in CsPbI3
InfoMat, EarlyView.All‐inorganic metal‐halide perovskite CsPbI3 shows strong potential for photovoltaic applications. Here strain analysis is used to probe the mechanisms behind the instability of its photoactive black phase. The results indicate that a relatively large positive (e1–e2) strain is the primary driver of the black‐to‐yellow phase transition.
Bangwei Jin +6 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations [PDF]
SIAM Journal on Scientific Computing, 2008 We present and analyze a new class of numerical methods for the solution of stiff stochastic differential equations (SDEs). These methods, called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit and of strong order 1 and possess large stability domains in the mean-square sense. For mean-square stable stiff SDEs, they are much more
Abdulle, Assyr, Cirilli, Stephane
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