Computational Synthesis of Substrates by Crystal Cleavage

Posted by klaurent Cornell

Kavli Affiliate: Kyle Shen | First 5 Authors: Joshua T. Paul, Joshua T. Paul, , , | Summary: The discovery of novel substrate materials has been dominated by trial and error, opening the opportunity for a systematic search. To identify stable crystal surfaces, we generate bonding networks for materials from the Materials Project database with […]


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A two-sided Faulhaber-like formula involving Bernoulli polynomials

Posted by klaurent MIT

Kavli Affiliate: J. S. Villasenor | First 5 Authors: Fernando Barbero G., Juan Margalef-Bentabol, Eduardo J. S. Villaseñor, , | Summary: We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in particular, a Faulhaber-like formula for sums of the form $1^m (n-1)^m + 2^m (n-2)^m + cdots + (n-1)^m 1^m$ for […]


Continue.. A two-sided Faulhaber-like formula involving Bernoulli polynomials