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Holographic reciprocity law failure
Applied Optics, 1984Previous authors have reported a falloff in diffraction efficiency of reconstructed images in multiple-exposure holograms. We call this phenomenon holographic reciprocity law failure. We propose an explanation for this phenomenon based on latent image formation in photographic materials and discuss a method for superimposing holograms that reconstruct ...
K M, Johnson, L, Hesselink, J W, Goodman
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Fermat curves and a refinement of the reciprocity law on cyclotomic units
Journal für die Reine und Angewandte Mathematik, 2018We define a “period-ring-valued beta function” and give a reciprocity law on its special values. The proof is based on some results of Rohrlich and Coleman concerning Fermat curves. We also have the following application.
Tomokazu Kashio
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Bulletin of the Australian Mathematical Society, 2018
We prove the reciprocity law for the twisted second moments of Dirichlet $L$ -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet $L$ -functions over $\mathbb{Q}
Goran Djanković
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We prove the reciprocity law for the twisted second moments of Dirichlet $L$ -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet $L$ -functions over $\mathbb{Q}
Goran Djanković
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Journal of Conflict Resolution, 2018
Reciprocity is one of the oldest principles of warfare, but humanitarian norms embedded in international humanitarian law (IHL) prohibit reciprocity over various wartime acts.
Jonathan A. Chu
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Reciprocity is one of the oldest principles of warfare, but humanitarian norms embedded in international humanitarian law (IHL) prohibit reciprocity over various wartime acts.
Jonathan A. Chu
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A General Reciprocity Law for Symbols on Arbitrary Vector Spaces
, 2013The aim of this work is to offer a general theory of reciprocity laws for symbols on arbitrary vector spaces, and to show that classical explicit reciprocity laws are particular cases of this theory (sum of valuations on a complete curve, Residue Theorem,
F. P. Romo
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The American Mathematical Monthly, 1978
It is well known that the famous Legendre law of quadratic reciprocity, of which over 150 proofs are in print, has been generalized over the years to algebraic fields by a number of famous mathemat...
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It is well known that the famous Legendre law of quadratic reciprocity, of which over 150 proofs are in print, has been generalized over the years to algebraic fields by a number of famous mathemat...
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DESCARTESʼ LAW OF RECIPROCAL INNERVATION
Optometry and Vision Science, 1975Reciprocal innervation plays a crucial role in the fine motor control exhibited in body movements and this is especially true for the precise ocular rotations demanded of the extrinsic muscles of the eye. Although Galen, in 157 AD, was knowledgeable in human anatomy and muscle function, it was Descarted, who in 1626 first conceived of model for the ...
K J, Ciuffreda, L, Stark
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1973
The Hilbert Reciprocity Law states that $$\prod\limits_p {\left( {\frac{{\alpha ,\beta }}{p}} \right)} = 1.$$ The major portion of this chapter is devoted to the proof of this formula for algebraic number fields. The formula is actually true over any global field, but we shall not go into the function theoretic case here. The Hilbert Reciprocity
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The Hilbert Reciprocity Law states that $$\prod\limits_p {\left( {\frac{{\alpha ,\beta }}{p}} \right)} = 1.$$ The major portion of this chapter is devoted to the proof of this formula for algebraic number fields. The formula is actually true over any global field, but we shall not go into the function theoretic case here. The Hilbert Reciprocity
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