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Mathematical induction
Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Indeed, the validity of mathematical induction is logically equivalent to the well-ordering principle.
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Mar. 21, 2026 Scientists at Harvard have built a miniature device that can twist and tune light in real time. By rotating two stacked photonic crystals and adjusting their spacing with a tiny mechanical system, ...
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