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We show this in a couple of steps. First, as a consequence of how we constructed these fractional parts, we can rewrite any xk as the difference between the k-th multiple of r and the associated integer part vk. After making these substitutions for indices h and g, we get:
He died four days later from Covid.
苏轼曾经写过一篇《李氏山房藏书记》，其间说到当时人们阅读行为与习惯的变化，耐人寻味。当人们一书难求时，入手一本，视之不啻拱璧，“皆手自书，日夜诵读，惟恐不及”。后来书籍刻印兴盛，“学者之于书，多且易致”。结果呢？很多人却是“束书不观，游谈无根”。这样的反差，这样的场景，今天是不是仍在重现？