scholarly journals The Dual Approach to Recursive Optimization: Theory and Examples

Econometrica ◽  
2018 ◽  
Vol 86 (1) ◽  
pp. 133-172 ◽  
Author(s):  
Nicola Pavoni ◽  
Christopher Sleet ◽  
Matthias Messner
2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Andrea L. Guerrieri ◽  
Alexandre Homrich ◽  
Pedro Vieira

Abstract Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.


Author(s):  
Matthias Messner ◽  
Nicola Pavoni ◽  
Christopher M. Sleet

Author(s):  
Suruchi S. Vasudev ◽  
Farhaan Jalees Ahmad ◽  
Sushama Talegaonkar ◽  
Rabea Parveen ◽  
Zeenat Iqbal
Keyword(s):  

1987 ◽  
Vol 15 (1) ◽  
pp. 3-29 ◽  
Author(s):  
K. Yamagishi ◽  
M. Togashi ◽  
S. Furuya ◽  
K. Tsukahara ◽  
N. Yoshimura

Abstract The Rolling Contour Optimization Theory (RCOT) can lead to improved steering, fuel efficiency, riding comfort, and braking performance of tires relative to those of conventional shape. The conventional shape has been guided by natural equilibrium profiles, while the RCOT technology shape is guided by that of the tire in motion. This reduces useless distortions caused by running the tire under load. The RCOT design focuses on the distribution of belt and sidewall tension in the tire. Controlling tension in the belt and carcass area while the tire is in motion was the key to creating this new tire shape.


Author(s):  
Dan J. Bodoh

Abstract The growth of the Internet over the past four years provides the failure analyst with a new media for communicating his results. The new digital media offers significant advantages over analog publication of results. Digital production, distribution and storage of failure analysis results reduces copying costs and paper storage, and enhances the ability to search through old analyses. When published digitally, results reach the customer within minutes of finishing the report. Furthermore, images on the computer screen can be of significantly higher quality than images reproduced on paper. The advantages of the digital medium come at a price, however. Research has shown that employees can become less productive when replacing their analog methodologies with digital methodologies. Today's feature-filled software encourages "futzing," one cause of the productivity reduction. In addition, the quality of the images and ability to search the text can be compromised if the software or the analyst does not understand this digital medium. This paper describes a system that offers complete digital production, distribution and storage of failure analysis reports on the Internet. By design, this system reduces the futzing factor, enhances the ability to search the reports, and optimizes images for display on computer monitors. Because photographic images are so important to failure analysis, some digital image optimization theory is reviewed.


2020 ◽  
Vol 55 ◽  
pp. 101344 ◽  
Author(s):  
Gerardo E. Camí ◽  
Elena V. Brusau ◽  
Griselda E. Narda ◽  
Rubén M. Maggio
Keyword(s):  

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