A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
A New Perturbative Approach in Nonlinear Singularity Analysis

2011
*
Journal of Mathematics and Statistics
*

Conclusion/Recommendations: In particular, for a nonprincipal but maximal Painleve family the first-order perturbed series

doi:10.3844/jmssp.2011.249.254
fatcat:66ekj4l73fduteviravoykug2a
*solution*is already a local representation*of*the*general**solution*, whose convergence ... Problem statement: The study is devoted to the "*mirror*" method which enables one to study the integrability*of*nonlinear differential*equations*. ... Painleve set up the problem*of*determining all differential*equations*whose*general**solution*are single-valued. ...##
###
Picard–Fuchs Uniformization and Modularity¶of the Mirror Map

2000
*
Communications in Mathematical Physics
*

Via the constraints

doi:10.1007/s002200000228
fatcat:aqfkgcgy5vggpcvddy2csy7ohe
*of*special geometry, the Picard-Fuchs*equations*for one parameter families*of*Calabi-Yau threefolds imply a differential*equation*criterion for automorphicity*of*the*mirror*map in terms ... algebraic invariants -the functional and*generalized*functional invariants respectively. ... This is our*general*criterion for modularity*of*the*mirror*map for Calabi-Yau threefolds. ...##
###
Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams

1990
*
Journal de Physique
*

Abstract. 2014 We study the aberrations

doi:10.1051/jphys:0199000510200224300
fatcat:tsm22gwnu5gyjgdexk43saquzq
*of*massive*mirrors*heated by partial*of*intense laser beams in the coating or in the bulk. ... The non-uniform temperature field*generated*in the solid substrate induce thermoelastic deformations for which with the special assumption*of*axial symmetry, we give analytical models and numerical evaluations ... conditions reduce to : But 1} rz and 1} zz have the following expressions : We find the boundary conditions equivalent to the following linear system : where ym has already been defined in (3.15), and The*solutions*...##
###
Designing coupled free-form surfaces

2010
*
Optical Society of America. Journal A: Optics, Image Science, and Vision
*

Example applications are given to the design

doi:10.1364/josaa.27.002132
pmid:20922003
fatcat:mdshs3sdrzcjregcwetzxrtobu
*of*a*mirror*pair that increases the field*of*view*of*an observer, a similar*mirror*pair that also rotate the observers view, and a pair*of**mirrors*that give ... The problem*of*designing optical systems that contain free-form surfaces is a challenging one, even in the case*of*designing a single surface. ... In sharp contrast to the case*of*a single*mirror*(where no*solution*is expected), in*general*one can expect that there exists a unique*solution*surface (albeit possibly very small) passing through the ...##
###
A Continuous Adjoint Framework For Vehicle Aerocoustic Optimization

2018
*
Zenodo
*

The proposed methodology is applied to compute the sensitivity map on the side

doi:10.5281/zenodo.1442610
fatcat:jcwzhfim2rd3vj6xdmnvg7mmnq
*mirror**of*a*generic*vehicle model, the SAE body. ... This work focuses on the*solution**of*the derived adjoint systems, and the computation*of*the sensitivity derivatives. ... In Section 4, the method is applied to compute the adjoint aeroacoustic sensitivity map on the side*mirror**of*the*generic*SAE vehicle. ...##
###
Theory of double-chirped mirrors

1998
*
IEEE Journal of Selected Topics in Quantum Electronics
*

*Solutions*

*of*the transmission line

*equations*are given using the WKB-method. Analytic expressions for reflectivity and group delay are derived. ... A theory

*of*double-chirped

*mirrors*(DCM's) for dispersion compensation in ultrashort pulse laser sources is presented. We describe the multilayer interference coating by exact coupled-mode

*equations*. ... In Section IV, we study the

*solutions*

*of*these Schrödinger

*equations*qualitatively using WKB-

*solutions*and derive an explicit expression for the complex reflection coefficient

*of*the

*mirror*. ...

##
###
Ion Temperature Effects on Plasma Flow in the Magnetic Mirror Configuration
[article]

2022
*
arXiv
*
pre-print

Stationary accelerating

arXiv:2109.02006v2
fatcat:voslsexp65hphbwuw7ji3cuqdm
*solutions*were obtained and compared with the time dependent dynamics, confirming that the*solutions**of*the time-dependent*equations*converge to the stationary*solutions*and therefore ... The effects*of*the ion pressure anisotropy were analyzed using Chew-Goldberger-Low model and its*generalization*. ... Steady-state*solutions**of*stationary*equations*obtained by the shooting method were compared with the time-dependent*solutions*obtained as a*solution**of*the initial value problem for*equations*(3 -6), ...##
###
Beyond Alhazen's problem: Analytical projection model for non-central catadioptric cameras with quadric mirrors

2011
*
CVPR 2011
*

We derive an analytical 'forward projection'

doi:10.1109/cvpr.2011.5995596
dblp:conf/cvpr/AgrawalTR11
fatcat:tc236xstenfx3aujzkc56hgdam
*equation*for the projection*of*a 3D point reflected by a quadric*mirror*on the imaging plane*of*a perspective camera, with no restrictions on the camera placement ... Catadioptric cameras are widely used to increase the field*of*view using*mirrors*. ... While a spherical*mirror*has four*solutions*, it is assumed that there is no closed-form or analytical*solution*for*general**mirrors*. ...##
###
Schwinger-Dyson equations for fermions self-energy in the electroweak-scale right-handed neutrino model

2017
*
HUE UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCE
*

*Mirror*quark and righthanded neutrino condensates can be determined through

*solutions*

*of*Schwinger-Dyson

*equations*. ... Two types

*of*condensates are considered here: that which is produced by the exchange

*of*the fundamental Higgs double t 2 between two

*mirror*quarks and the other which is produced by the exchange

*of*the ... The

*solutions*to the SD

*equations*for RH neutrinos and

*mirror*quarks self-energy We begin by considering the case

*of*Higgs triplet. ...

##
###
Analytical Forward Projection for Axial Non-central Dioptric and Catadioptric Cameras
[chapter]

2010
*
Lecture Notes in Computer Science
*

-Reduces to 4 th degree

doi:10.1007/978-3-642-15558-1_10
fatcat:xyqyjl6cpvgrhivhtokweq2ega
*equation*for spherical*mirror*• Closed Form*Solution*• For refractive sphere -Solve 10 th degree*equation*in one unknown • 100 times speed up -3D reconstruction using ... Analytical Forward Projection for Non-Central Cameras • Axial Configuration -Camera lies on the axis*of*rotationally symmetric*mirror*• For conic*mirrors*-Solve 6 th degree*equation*in one unknown ... Results: Fast Projection*of*3D Points • Project randomly*generated*100,000 points (spherical*mirror*) ...##
###
Two-Sided Gravitational Mirror: Sealing off Curvature Singularities
[article]

2012
*
arXiv
*
pre-print

structure

arXiv:1201.0137v2
fatcat:jhxueelotrhivpslj6xrtgtt24
*of*a massive*mirror*. ... To demonstrate the phenomenon analytically, we derive an exact, static, radially symmetric, two-sided*mirror**solution*, which asymptotes the massless BTZ black hole background, and then probe the local ... The primary role*of*the scalar potential V (φ) is to ensure a stable*general*relativistic vacuum*solution*. ...##
###
Generalized figure-control algorithm for large segmented telescope mirrors

2001
*
Optical Society of America. Journal A: Optics, Image Science, and Vision
*

for the figure control

doi:10.1364/josaa.18.000638
fatcat:ecm4b5wrvze4xmiuw2fpwd6t6a
*of*a Keck-type telescope*mirror*. ... The author establishes a universal mathematical control model and provides an efficient algorithm to solve this model*equation*set. ... Establishment*of*a*Generalized**Equation*Set for Segmented-*Mirror*Figure Control The complexity*of*the coefficient matrix*of*a*generalized*figure-control*equation*set is closely related to the sensor-actuator ...##
###
Applications of the Network Simulation Method to Differential Equations with Singularities and Chaotic Behaviour

2021
*
Mathematics
*

others like the parabolic

doi:10.3390/math9121442
fatcat:dzqsf2ewajfghnxeiqwjqvewfy
*mirror*and van der Pol non-linear*equation*. ... Additionally, we introduce also the electric-electronic circuits we have designed to be able*of*obtaining the*solutions**of*the referred*equations*. ... Circuit equivalent to*equation*Parabolic*Mirror*p = y (t) Circuits to*generate*the values*of*y(t) and y'(t) Circuit equivalent to*equation*Parabolic*Mirror*. ...##
###
Geometric optimization of magnetically actuated MEMS micromirrors

2016
*
Journal of Physics, Conference Series
*

We use this

doi:10.1088/1742-6596/757/1/012030
fatcat:u5ztcpjzbredxfg4zs2z5m3moa
*solutions*to optimize the micromirror geometry by minimization*of*a linear objective function. ... The tradeoffs that emerge from optimization data allow simple quantitative design*of*low current, low size*mirrors*. ... Acknowledgments The author wishes to acknowledge the financial contribution by the ENIAC Joint Undertaking in the framework*of*project Lab4MEMS II under grant n. 621176-2. ...##
###
A Comparative CFD Study of Side-view Mirror and Side-view Camera Usages on a City Bus

2020
*
International Journal of Automotive Science and Technology
*

As a result

doi:10.30939/ijastech..726376
fatcat:cjkj5et27nca7ph45aw5aczy2a
*of*these operations, continuity*equation*and*general*momentum*equations*for incompressible flows may be stated as respec Fig. 3 . 3 Sub-options and constants*of*RSM turbulence model 2.2 Boundary ... [7] studied on the interference drag that is*generated*by the mixing*of*airflow streamlines between door*mirrors*and vehicle body. ...
« Previous

*Showing results 1 — 15 out of 266,348 results*