Daniel Barter

6 hours ago This as-told-to essay is based on a conversation with Rahul Kasanagottu, a 32-year-old customer engineer at Google, specialized in AI and machine learning, and based in Austin. His identity and employment have been verified by Business Insider. The following has has been edited for length and …

Predictive stochastic analysis of massive filter-based electrochemical reaction networks† Daniel Barter,‡a Evan Walter Clark Spotte-Smith, ‡bc Nikita S. Redkar,cd Aniruddh Khanwale,bce Shyam Dwaraknath, f Kristin A. Persson bg and Samuel M. Blau *a Abstract Chemical reaction networks (CRNs) are powerful tools for obtaining insight into complex reactive processes. However, they are difficult to employ in domains such as electrochemistry where reaction mechanisms and outcomes are not well understood.

What is the intuition (hopefully, geometric) behind these basic facts about homogeneous ideals? An ideal $I$ in $S$ is homogeneous if an element $f = \sum_{n \ge 0} f_n$ of $S$ lies in $I$ if and only if each homogeneous part $f_n$ lies in $I$. Here, we let $S = \bigoplus_{n \ge 0} S_n$ be an $\mathbf{N}$-graded ring. An ideal generated by homogeneous elements is a homogeneous ideal.