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Since every (n + m)-step self avoiding walk can be decomposed into an n-step self-avoiding walk and an m-step self-avoiding walk, it follows that c n+m ≤ c n c m. Therefore, the sequence {log c n} is subadditive and we can apply Fekete's lemma to show that the following limit exists: =. μ is called the connective constant, since c n depends ...
Avoided crossing. In quantum physics and quantum chemistry, an avoided crossing (sometimes called intended crossing, [1] non-crossing or anticrossing) is the phenomenon where two eigenvalues of a Hermitian matrix representing a quantum observable and depending on N continuous real parameters cannot become equal in value ("cross") except on a ...
Fermat–Catalan conjecture. In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many ...
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Fast, secure and reliable email. Stay in touch and enjoy the ride with AOL Mail. supported web browser. Get user-friendly email with AOL Mail. Sign up now for world-class spam protection, easy ...
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