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### NARROW

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1-20 of 307 Search Results for

#### gaussian

Book Chapter

Series: AIPP Books, Methods

Published: March 2023

EISBN: 978-0-7354-2574-3

ISBN: 978-0-7354-2572-9

... the Kalman-generalized sparse identification of nonlinear dynamics ,” in

*2022 American Control Conference (ACC)*(IEEE, 2022 ), pp. 5217 – 5222 . Zadakbar , O. , Khan , F. , and Imtiaz , S. , “ Dynamic risk assessment of a nonlinear non-Gaussian system using a particle filter...Book Chapter

Series: AIPP Books, Methods

Published: March 2023

10.1063/9780735425743_010

EISBN: 978-0-7354-2574-3

ISBN: 978-0-7354-2572-9

... using artificial neural networks, least squares regression, support vector regression, and Gaussian process regression. Also, modal decomposition-based techniques such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) are commonly used for reduced-order modeling and control...

Book Chapter

Series: AIPP Books, Methods

Published: March 2023

10.1063/9780735425743_012

EISBN: 978-0-7354-2574-3

ISBN: 978-0-7354-2572-9

... ) where

*w*is the process noise, and*v*represents the measurement noise. Both*w*and*v*are assumed to be drawn from a zero-mean Gaussian distribution with covariances*Q*and*R*, respectively. (12.16a) w ( t k ) ∼ N ( 0 , Q ) (12.16b...Images

**Published:**November 2022

FIG. 5.1 Linearly polarized (electric field along

*z*axis) Gaussian-envelope pulse modeled as a plane wave traveling in vacuum along*y*axis. The left plot is a snapshot representing the spatial variations of E (red line) and B (green line) at a fixed time, while the right plot represents the time variation of the amplitudes at a fixed point. Note that*E*and*B*are not presented in the proper scales. More about this image found in Linearly polarized (electric field along*z*axis) Gaussian-...Book Chapter

Series: AIPP Books, Methods

Published: March 2023

10.1063/9780735425743_005

EISBN: 978-0-7354-2574-3

ISBN: 978-0-7354-2572-9

...-point of a homogeneous flux distribution. The distribution of references is not restricted. As optimization references, Gaussian distributions were also used ( Ashley

*et al.*, 2017 ; and Ashley*et al.*, 2019 ). Cruz*et al.*(2018) proposed a two-layered method for obtaining...Book Chapter

Series: AIPP Books, Professional

Published: March 2023

10.1063/9780735425477_005

EISBN: 978-0-7354-2547-7

ISBN: 978-0-7354-2544-6

... than 10%) considered all charges or currents named in the questions, i.e., both those inside and outside the Gaussian surface or Ampèrian loop. Some 60% of students only considered the charges or currents inside the surface or loop. These students typically based their reasoning on an incorrect causal...

Book Chapter

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735425590_005

EISBN: 978-0-7354-2559-0

ISBN: 978-0-7354-2556-9

... contrast, as they were measured under so-called Scherzer defocus. The “center” of the dark contrasts, and hence, the atomic-column position was then determined by two-dimensional Gaussian fitting, which has now become a standard technique for atomic-position determination. For example, in a recent study...

Book Chapter

Series: AIPP Books, Professional

Published: March 2023

10.1063/9780735425477_001

EISBN: 978-0-7354-2547-7

ISBN: 978-0-7354-2544-6

...% for the case of the fully reflected pulse. Wittmann (2002) investigated how students reason about the mathematical representation of a pulse. A mathematical description of a pulse (a Gaussian form) was given and students were asked what the pulse will look like later on a non-dispersive, non-dissipative...

Book

Series: AIPP Books, Methods

Published: March 2023

10.1063/9780735425743

EISBN: 978-0-7354-2574-3

ISBN: 978-0-7354-2572-9

Book Chapter

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735425590_001

EISBN: 978-0-7354-2559-0

ISBN: 978-0-7354-2556-9

... due to crystallite size leads to a Lorentz profile, while that due to microstrain leads to a Gaussian profile. In this chapter, we will focus on two aspects: chemical composition induced strain and its effect on the physical properties, strain induced in epitaxial layers due to epitaxial growth...

Book

Series: AIPP Books, Professional

Published: March 2023

10.1063/9780735425477

EISBN: 978-0-7354-2547-7

ISBN: 978-0-7354-2544-6

Book Chapter

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735425590_006

EISBN: 978-0-7354-2559-0

ISBN: 978-0-7354-2556-9

... to mimic the nucleation process ( Chen and Khachaturyan, 1991 ; and Simmons

*et al.*, 2000 ). These stochastic terms are assumed to be uncorrelated in both space and time (white noise) and are approximated by a Gaussian random number distribution. More details about the Langevin noise terms can...Book

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735425590

EISBN: 978-0-7354-2559-0

ISBN: 978-0-7354-2556-9

Book Chapter

Series: AIPP Books, Principles

Published: March 2023

0

EISBN: 978-0-7354-2439-5

ISBN: 978-0-7354-2436-4

... of orbital angular momentum to metal particles from a focused circularly polarized Gaussian beam ,” Opt. Express 17 ( 25 ), 23316 – 23322 ( 2009 ). 10.1364/OE.17.023316 Zhao , X. , Tsai , J. M. , Cai , H. , Ji , X. M. , Zhou , J. , Bao , M. H. et al. , “ Nano-opto...

Book Chapter

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735424395_007

EISBN: 978-0-7354-2439-5

ISBN: 978-0-7354-2436-4

... using microelectromechanical systems (MEMS) mirrors ( Lee

*et al.*, 1999 ), and have been commercially available since the late 1990s. The micromirrors can reflect a broad spectrum of wavelengths. Like all Gaussian-beam-based systems discussed before, mirrors also need a precise optical design...Images

in Enhanced Sampling Based on Collective Variables
> A Practical Guide to Recent Advances in Multiscale Modeling and Simulation of Biomolecules

**Published:**January 2023

FIG. 7.3 Graphic representation unbiased MD, U.S., ABF, MtD, and WTM-eABF. (a) In unbiased MD, the molecular assembly can only explore the region around a local minimum. (b) and (c) U.S. adopts harmonic restraints and the stratification strategy to enforce sufficient sampling along the transition ... More about this image found in Graphic representation unbiased MD, U.S., ABF, MtD, and WTM-eABF. (a) In un...

Book

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735424395

EISBN: 978-0-7354-2439-5

ISBN: 978-0-7354-2436-4

Book Chapter

Series: AIPP Books, Methods

Published: January 2023

10.1063/9780735425279_008

EISBN: 978-0-7354-2527-9

ISBN: 978-0-7354-2524-8

... is (8.1) V ( s ( R ) , t ) = ∑ t ′ = τ , 2 τ , … t ′ < t W exp ( − ∑ i = 1 d ( s i ( q ) − s i ( q ( t ′ ) ) ) 2 2 σ i ) , where

*W*is the Gaussian height,*τ*is the Gaussian...Images

in Actuator Methods for Wind Turbine Computations
> Wind Turbine Aerodynamics Modeling Using CFD Approaches

**Published:**November 2022

FIG. 5.14 Comparison of the CFD results for the isotropic Gaussian distribution (left), anisotropic Gaussian distribution (center), and the anisotropic Gauss-Gumbel distribution (right). Top: vortical structures in the near wake area, bottom: vorticity field for a section at

*r*= 0.7*R*. Figure obtained from Cormier*et al.*(2021) , license CC BY 3.0. More about this image found in Comparison of the CFD results for the isotropic Gaussian distribution (left...Book Chapter

Series: AIPP Books, Methods

Published: January 2023

10.1063/9780735425279_007

EISBN: 978-0-7354-2527-9

ISBN: 978-0-7354-2524-8

... and Parrinello, 2002 ), as the most popular variant of the self-adaptive U.S., uses a sum of Gaussian potentials to approximate −

*A*(*ξ*), namely, (7.8) V ( ξ ) = w ∑ t e − ξ − ξ t 2 σ , where*t*=*τ*, 2*τ*, 3*τ*… is the time...1