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Birch: A birch is a thin-leaved deciduous hardwood tree of the genus Betula (), in the family Betulaceae, which also includes alders, hazels, and hornbeams. It is closely related to the beech-oak family Fagaceae.
Birch and Swinnerton-Dyer conjecture: In mathematics, the Birch and Swinnerton-Dyer conjecture describes the set of rational solutions to equations defining an elliptic curve. It is an open problem in the field of number theory and is widely recognized as one of the most challenging mathematical problems.
Birch bark manuscript: Birch bark manuscripts are documents written on pieces of the inner layer of birch bark, which was commonly used for writing before the advent of mass production of paper. Evidence of birch bark for writing goes back many centuries and in various cultures.
Birch reduction: The Birch reduction is an organic reaction that is used to convert arenes to cyclohexadienes. The reaction is named after the Australian chemist Arthur Birch.