论文标题
据称发现了西蒙·梅尔（Marius）的木星卫星
On alleged discovery of satellites of Jupiter by Simon Mayr (Marius)
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
In 1614, the German astronomer Simon Mayr published his claim to have discovered the satellites of Jupiter. Writing in the treatise Mundus Jovialis, Mayr made his assertion in a convoluted but unequivocal manner, earning the displeasure of Galileo Galilei, who published his harsh protest in 1623 in Il Saggiatore. Though objections of Galileo were fallacious in some respects, and though numerous scholars took to the field to prove claim of Mayr, none ever really succeeded, and the historical evidence remains to detriment of Mayr. On the basis of such historical evidence, including comparisons between Mundus Jovialis and earlier works of Mayr, independent discovery of the satellites by Mayr can be ruled out. Indeed, it is very likely that he never observed them before 30 December 1610, nearly a year after Galileo. The absence of a corpus of observations by Mayr and the inaccuracy of his tables are also puzzling.
