Results 51 to 60 of about 64,375 (247)

Approximate Solution of Bratu Differential Equations Using Trigonometric Basic Functions [PDF]

open access: yesKragujevac Journal of Mathematics, 2021
In this paper, I have proposed a method for finding an approximate function for Bratu differential equations (BDEs), in which trigonometric basic functions are used. First, by defining trigonometric basic functions, I define the values of the transformation function in relation to trigonometric basis functions (TBFs).
openaire   +2 more sources

Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains

open access: yesAdvanced Robotics Research, EarlyView.
How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao   +3 more
wiley   +1 more source

Cubic-quartic optical solitons with Kudryashov’s law of refractive index by F-expansions schemes

open access: yesResults in Physics, 2020
This work presents cubic-quartic optical soliton solutions to Kudryashov’s equation in polarization-preserving fibers. The integration is conducted with F-expansion scheme having four independent forms.
Gokhan Genc   +3 more
doaj   +1 more source

Elliptic and K-theoretic stable envelopes and Newton polytopes [PDF]

open access: yes, 2018
In this paper we consider the cotangent bundles of partial flag varieties. We construct the $K$-theoretic stable envelopes for them and also define a version of the elliptic stable envelopes. We expect that our elliptic stable envelopes coincide with the
Rimányi, R., Tarasov, V., Varchenko, A.
core   +3 more sources

Backpropagation Through Soft Body: Investigating Information Processing in Brain–Body Coupling Systems

open access: yesAdvanced Robotics Research, EarlyView.
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka   +3 more
wiley   +1 more source

Shape Invariant Rational Extensions And Potentials Related to Exceptional Polynomials

open access: yes, 2015
In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well known technique of isospectral shift deformation.
Kapoor, A. K   +2 more
core   +1 more source

Flexible Memory: Progress, Challenges, and Opportunities

open access: yesAdvanced Intelligent Discovery, EarlyView.
Flexible memory technology is crucial for flexible electronics integration. This review covers its historical evolution, evaluates rigid systems, proposes a flexible memory framework based on multiple mechanisms, stresses material design's role, presents a coupling model for performance optimization, and points out future directions.
Ruizhi Yuan   +5 more
wiley   +1 more source

New exact travelling solutions of the generalized Hirota equation

open access: yesPartial Differential Equations in Applied Mathematics, 2021
In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
doaj   +1 more source

A Flexible and Energy‐Efficient Compute‐in‐Memory Accelerator for Kolmogorov–Arnold Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
This article presents KA‐CIM, a compute‐in‐memory accelerator for Kolmogorov–Arnold Networks (KANs). It enables flexible and efficient computation of arbitrary nonlinear functions through cross‐layer co‐optimization from algorithm to device. KA‐CIM surpasses CPU, ASIC, VMM‐CIM, and prior KAN accelerators by 1–3 orders of magnitude in energy‐delay ...
Chirag Sudarshan   +6 more
wiley   +1 more source

The Investigation of Solutions to the Coupled Schrödinger-Boussinesq Equations

open access: yesAbstract and Applied Analysis, 2013
The (G′/G)-expansion method and the symbolic computation system Mathematica are employed to investigate the coupled Schrödinger-Boussinesq equations. The hyperbolic function solutions, trigonometric function solutions, and rational function solutions to ...
Xin Huang
doaj   +1 more source

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