One significant obstacle is the phase-ordering problem, where the sequence of optimization algorithms can impact code quality and potentially lead to performance deterioration. While machine learning has shown promise in addressing this issue, it still encounters limitations in certain scenarios. ...
Let X be a topological space and let g be an ideal of subsets of X. The space X is called connected modulo g if there is no continuous mapping f : X → [0, 1] which is 2-valued modulo g in the sense that neither f~(-1)(0) nor f~(-1)(1) belongs to g but X (f(-1...
In this paper, we investigate the Fourier coefficients of the eta‐quotients of the forms qλ0+lkλ124η(τ)λ0η(lkτ)λ1,$$ {q}^{frac{lambda_0+{l}^k{lambda}_1}{24}}eta {left(tau right)}^{-{lambda}_0}eta {left({l}^ktau right)}^{-{lambda}_1}, $$ where η(τ)$...
We investigate the sum of the parts congruent to r modulo m counted without multiplicity in all the partitions of n. Considering truncated theta series, we introduce a collection of infinite families of linear inequalities involving this sum. We provide connections with partitions with nonnegative ...