THIRD-ORDER EFFICIENCY IMPLIES FOURTH-ORDER EFFICIENCY
JOURNAL OF THE JAPAN STATISTICAL SOCIETY, 1996 Summary: \textit{K. Takeuchi} [Asymptotic theory of statistical inference. (1974)], \textit{K. Takeuchi} and \textit{M. Akahira} [Lect. Notes Math. 550, 604-638 (1976; Zbl 0398.62027)] and \textit{J. Pfanzagl} [Contributions to Statistics, Jaroslav Hajek Mem.
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, 2015 I derive the third order optics of quadrupoles. I transform away the derivatives of the strength function, and thus demonstrate that third order aberrations are insensitive to fringe field shaping. The results can be used for efficient tracking to third order or for simple and quick evaluation of nonlinear effects.
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Analytical Solution to a Third-Order Rational Difference Equation. [PDF]
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First- and third-order chromatic aberrations in Glaser magnetic lens for object magnetic immersion. [PDF]
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Commentary: First-Order Embodiment, Second-Order Embodiment, Third-Order Embodiment
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Third-Order Nonlinear Optical Properties of Aqueous Silver Sulfide Quantum Dots. [PDF]
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On bounded nonoscillatory solutions of third-order nonlinear differential equations
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The hydrodyanamics of gravity-driven vessel drainage of third order fluid using perturbation method. [PDF]
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Ablation and optical third-order nonlinearities in Ag nanoparticles
International Journal of Nanomedicine, 2010 Carlos Torres-Torres1, Néstor Peréa-López2, Jorge Alejandro Reyes-Esqueda3, Luis Rodríguez-Fernández3, Alejandro Crespo-Sosa3, Juan Carlos Cheang-Wong3, Alicia Oliver31Section of Graduate Studies and
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