Results 31 to 40 of about 288,897 (274)

Targeting multi-loop integrals with neural networks

open access: yesSciPost Physics, 2022
Numerical evaluations of Feynman integrals often proceed via a deformation of the integration contour into the complex plane. While valid contours are easy to construct, the numerical precision for a multi-loop integral can depend critically on the ...
Ramon Winterhalder, Vitaly Magerya, Emilio Villa, Stephen P. Jones, Matthias Kerner, Anja Butter, Gudrun Heinrich, Tilman Plehn
doaj   +1 more source

Numerical Contour Integration [PDF]

open access: yesThe Mathematica Journal, 2021
We present a straightforward implementation of contour integration by setting options for Integrate and NIntegrate, taking advantage of powerful results in complex analysis. As such, this article can be viewed as documentation to perform numerical contour integration with the existing built-in tools.
openaire   +1 more source

One "shape" fits all: The orientation bandwidth of contour integration [PDF]

open access: yes, 2014
The ability of human participants to integrate fragmented stimulus elements into perceived coherent contours (amidst a field of distracter elements) has been intensively studied across a large number of contour element parameters, ranging from luminance ...
Hansen, BC, Hess, RF, May, KA
core   +1 more source

Low level constraints on dynamic contour path integration. [PDF]

open access: yesPLoS ONE, 2014
Contour integration is a fundamental visual process. The constraints on integrating discrete contour elements and the associated neural mechanisms have typically been investigated using static contour paths.
Sophie Hall, Patrick Bourke, Kun Guo
doaj   +1 more source

RPExpand: Software for Riesz projection expansion of resonance phenomena

open access: yesSoftwareX, 2021
We present the software RPExpand for modal expansions of physical observables in resonant systems. The software is implemented in MATLAB® and uses Riesz projections to compute the expansion terms.
Fridtjof Betz   +2 more
doaj   +1 more source

Asymptotic Expansions for Large Degree Tangent and Apostol-Tangent Polynomials of Complex Order

open access: yesJournal of Applied Mathematics, 2023
This paper provides asymptotic expansions for large values of n of tangent Tnμz and Apostol-tangent Tnμz;λ polynomials of complex order. The derivation is done using contour integration with the contour avoiding branch cuts.
Cristina B. Corcino   +2 more
doaj   +1 more source

Gamma frequency transcranial alternating current stimulation over the visual cortex modulates contour integration

open access: yesFrontiers in Cognition
IntroductionThe visual system must integrate spatially fragmented information to perceive coherent object boundaries. Contour integration represents a fundamental process underlying this perceptual organization by linking discrete edge elements into ...
Yosun Yoon   +3 more
doaj   +1 more source

Configuration-specific attentional modulation of flanker target lateral interactions [PDF]

open access: yes, 2004
Elements of a contour are often easier to detect when they possess collinearity, with their local orientations matching the global orientation of the contour. We recently reported attentional modulation of such lateral interactions between a central near-
Driver, J., Freeman, E. D., Sagi, D.
core   +1 more source

CONSISTENCY MATCHING IN THE INTEGRATION OF CONTOUR AND RIVER DATA BY SPATIAL KNOWLEDGE [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2012
As the representation of terrain surface and height information, the contour data has the strict constraint relationship with the distribution of river network.
T. Ai, M. Yang
doaj   +1 more source

Microlensing with advanced contour integration algorithm: Green's theorem to third order, error control, optimal sampling and limb darkening

open access: yes, 2010
Microlensing light curves are typically computed either by ray-shooting maps or by contour integration via Green's theorem. We present an improved version of the second method that includes a parabolic correction in Green's line integral. In addition, we
Beaulieu   +32 more
core   +1 more source

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