Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...

National Institute of Neurological Disorders and Stroke, Bethesda, Maryland 20814, United States National Heart, Lung and Blood Institute, Bethesda, Maryland 20892, United States Theoretical and ...

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today. One afternoon in January 2011, Hussein Mourtada leapt onto his ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

Abstract: In 1960 Leonhard Euler gave rigorous proof of an efficient calculation using the recurrence of partition numbers. Since the power of the variables in the recurrence is the pentagonal numbers ...

Bayesian Decision Trees provide a probabilistic framework that reduces the instability of Decision Trees while maintaining their explainability. While Markov Chain Monte Carlo methods are typically ...

In the past, what we call “almost partition identities” were immediate corollaries of classical theta series identities, such as Jacobi’s triple product. Consequently, they were always of this form: ...

% 2. Run spm_post_concatenate on the saved SPM.mat. % 3. Estimate the SPM.mat in the normal way.

% finds a threshold u such that the expected FDR is at most q. % spm_uc_FDR returns this critical threshold u. % [P Ps] = spm_uc_FDR(Z1,df,STAT,n,Vs); %-Initialization, image read % P = ...

We describe the procedure of zeta regularization of an infinite product, in particular following the technique we introduced in previous works (13). The problem of regularizing infinite products is a ...