Since 1850, Pure Math leading with Abstract Algebra “Group Theory”, etc …however, after 2000, Applied Math catching up with Pure Math in IT (Category Theory, Fuzzy Logic, AI, Algebraic Toplology…).
https://v.ixigua.com/MDAP476/
【鄂维南：机器学习是应用数学几十年未有之机遇 – 今日头条】
https://m.toutiao.com/is/RJetHU4/
Supervised Machine Learning (ML), Unsupervised ML, Reinforced ML, use Function Approximation, Probability Distribution, Bellman Equation, resp.
https://zhuanlan.zhihu.com/p/139559442
“A pure mathematician, when stuck on the problem under study, often decides to narrow the problem further and so avoid the obstruction. An applied mathematician interprets being stuck as an indication that it is time to learn more mathematics and find better tools”
— Distinguished differential geometer Eugenio Calabi
The young Russian doctor Sergei Arutyunyan was working with patients whose immune systems were rejecting transplanted kidneys.
The doctor has to decide whether to keep or remove it. If they kept the kidney, the patient could die, but if they remove it, the patient would need another long wait (or never) for another kidney.
The mathematician Edward Frankel helped him to analyze the collected data with ‘expert rules’ in a decision tree. (Note: this is like the Artificial Intelligence Rule-based Expert System, except no fuzzy math).
The successful diagnosis (with Math): 95%
Love and Math by Edward Frenkel http://www.amazon.co.uk/dp/0465050743/ref=cm_sw_r_udp_awd_53swtb16779PY
Math Online Tom Circle 