Marie Curie was present in such minute quantities that they would eventually have to process tons of the ore. In July 1898, Curie and her husband published a joint paper announcing the existence of an element which they named "polonium", in honour of her native Poland, which would for another twenty years remain partitioned among three empires (Russian, Austrian, and Prussian). On 26 December 1898, the Curies announced the existence of a second element, which they named "radium", from the Latin word for "ray". In the course of their research, they also coined the word "radioactivity". To prove their discoveries beyond any
Field with one element discrete Fourier transform (complex-valued) and the related number-theoretic transform (Z/"n"Z-valued). Field with one element In mathematics, the field with one element is a suggestive name for an object that should behave similarly to a finite field with a single element, if such a field could exist. This object is denoted F, or, in a French–English pun, F. The name "field with one element" and the notation F are only suggestive, as there is no field with one element in classical abstract algebra. Instead, F refers to the idea that there should be a way to replace sets and operations, the