Stefan Wild has been named a 2025 SIAM Fellow. This recognition celebrates his groundbreaking work in derivative-free optimization, which has made significant impacts across multiple scientific and en...

We compare, mathematically, the text of a famous Italian novel, I promessi sposi, written by Alessandro Manzoni (source text), to its most recent English translation, The Betrothed by Michael F. Moore (target text). The mathematical theory applied does not measure the efficacy and beauty of texts; only their mathematical underlying structure and similarity. The translation theory adopted by the translator is the “domestication” of the source text because English is not as economical in its use of subject pronouns as Italian. A domestication index measures the degree of domestication. The modification of the original mathematical structure produces several consequences on the short–term memory buffers required for the reader and on the theoretical number of patterns used to construct sentences. The geometrical representation of texts and the related probability of error indicate that the two texts are practically uncorrelated. A fine–tuning analysis shows that linguistic channels are very noisy, with very poor signal–to–noise ratios, except the channels related to characters and words. Readability indices are also diverse. In conclusion, a blind comparison of the linguistic parameters of the two texts would unlikely indicate they refer to the same novel.

In this article, we analyze some curvature restrictions satisfying by the concircular curvature tensor in (2n+1)-dimensional Sasakian manifolds with the generalized Tanaka–Webster connection ∇¯ admitting Ricci–Yamabe solitons. Finally, we give an example of three-dimensional Sasakian manifolds which verifies some of our findings.

Based on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived. A high point of the presentation is the rediscovery, by much simpler means, of a famous quadratic Euler sum originally discovered in 1995 by Borwein and Borwein. In addition, the following series ∑n=1∞1n(n+1)n+zn,∑n=1∞1n(n+1)(n+2)n+zn,∑n=1∞1n(n+1)(n+2)(n+3)n+zn, as well as the harmonic and odd harmonic number series associated with them are evaluated.

PhD position in Marseille on quantum trajectory methods for open quantum systems, with emphasis on coding, scientific software development, and scalable simulations. Strong background in physics, theo...

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