Titlebook: Mathematical Surprises; Mordechai Ben-Ari Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicable) and The Author(s) 2022 open access high school m

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Mordechai Ben-Ariimens.Features tried-and-true lab protocols that are ready t.The rapid pace of microRNA (miRNA) research continues to drive the advances of techniques for miRNA expression profiling, and innovative technologies that are more sensitive, specific, quantitative, and that are compatible with a wide rang

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imens.Features tried-and-true lab protocols that are ready t.The rapid pace of microRNA (miRNA) research continues to drive the advances of techniques for miRNA expression profiling, and innovative technologies that are more sensitive, specific, quantitative, and that are compatible with a wide rang

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Trisection of an Angle,e construction of cube roots, but a straightedge and compass can only construct lengths that are expressions built from integers, the four arithmetic operators and square roots. This was proved by Pierre Wantzel in 1837. Nevertheless, innumerable amateurs continue to attempt to trisect an angle. The

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Induction,y not be known to the reader. We begin with a short review of mathematical induction (Sect. 6.1). Section 6.2 proves results about the familiar Fibonacci numbers while Sect. 6.3 proves results about Fermat numbers. Section 6.4 presents the 91-function discovered by John McCarthy; the proof is by ind