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Viewing our examples through a general lens of constrained minimax theory, we prove fundamental lower bounds on the statistical performance of any algorithm subject to the constraints--computational, confidentiality, or communication--specified.
In this first paper, we present a new, general lens equation and magnification formula governing lensing by a compact object.
I. General lens equation and magnification formula, Journal of Mathematical Physics, vol. 52 no. 9 (September, 2011), pp. 092502-092502, AIP Publishing [doi] [abs].
The results for the general lens are then used to find lower bounds on the total magnification due to non-singular and singular deflectors.
I. General lens equation and magnification formula, Journal of Mathematical Physics, vol. 52 no. 9 (2011), pp. 092502-092502, AIP Publishing [doi] [abs].
In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weak-deflection Kerr lensing to third order in our expansion parameter ε, which is the ratio of the angular gravitational radius to the angular Einstein radius.
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With live video (and video content in general) comes lens filtering – like Snapchat's Selfie Lens or Masquerade, a tool that lets users record video-selfie animation — that is perfect for keeping us entertained and engaged.
From a criminological perspective, that higher needs increased recidivism in reentry can also be viewed through a general strain lens (GST; Agnew, 2006).
So great, now you have a box with a camera, a general purpose lens and all the cables you'll need.
Of particular note is the observation of a general decrease in lens thickness, approximately 2 4 cm/yr, over the 14-year period for the northern regions of the Maldives.
The global geometry of caustics due to a general multiplane gravitational lens system is investigated.
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