Chandler Davis (1926–2022)

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چکیده

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A generalization of the Chandler Davis convexity theorem

In 1957 Chandler Davis proved a theorem that a rotationally invariant function on symmetric matrices is convex if and only if it is convex on the diagonal matrices. We generalize this result to groups acting nonlinearly on convex subsets of arbitrary vector spaces thereby understanding the abstract mechanism behind the classical theorem. We apply the new theorem to a problem from the mathematic...

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Another Simple Proof of a Theorem of Chandler Davis

In 1957, Chandler Davis proved that unitarily invariant convex functions on the space of hermitian matrices are precisely those which are convex and symmetrically invariant on the set of diagonal matrices. We give a simple perturbation theoretic proof of this result. (Davis’ argument was also very short, though based on completely different ideas). Consider an orthogonally invariant function f ...

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Davis v. Davis (1992)

In Davis v. Davis (1992), the Supreme Court of Tennessee decided a dispute over cryopreserved preembryos in favor of Junior Lewis Davis, who sought to have the preembryos destroyed over the objections of his former wife, Mary Sue Davis. The decision in Davis, although not binding in other states, suggested a framework for resolving similar disputes in the US. That framework established that cou...

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Autobiography of David Chandler.

I was born the younger of my parents’ two children, on October 15, 1944, at Brooklyn Jewish Hospital, in New York. Except for two years when I was five and six years old, I spent my formative years in Great Neck, a north shore Long Island suburb of New York City, where I benefited from material comforts, excellent schools, and abundant opportunities for cultural and recreational activities. My ...

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Davis v. Davis [Brief] (1992)

This case was the first of its kind to address questions of personhood [5] in the context of in vitro [6] fertilization [7] of a human embryo. It laid a foundation for future cases to work from: specifically, this case established the importance of prior written agreements for disposition of frozen embryos. This was also the first court decision to borrow the word ?pre-embryo? from bioethics to...

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ژورنال

عنوان ژورنال: The Mathematical Intelligencer

سال: 2022

ISSN: ['0343-6993', '1866-7414']

DOI: https://doi.org/10.1007/s00283-022-10241-7