Although the puzzle we started with might seem silly, the study of these structures — known as Diophantine approximations — is taken seriously and gets complicated fast. For example, it’s possible to construct so-called Liouville numbers that have an infinite irrationality exponent (endless n-good approximations for any n), but it’s a lot harder to prove that there’s any commonly-encountered number with an irrationality exponent greater than two. In the same vein, algebraic irrationals (e.g., √2) all have an irrationality measure of two, but the proof of this is fiendishly difficult and netted its discoverer the Fields Medal back in 1958.
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Кадровый дефицит остается одной из важнейших проблем МВД России, заявил президент России Владимир Путин на коллегии ведомства. По его словам, в 2026 году будет повышена зарплата полицейским, также принят целый ряд решений, направленных на комплектование органов внутренних дел.
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