有了φ,就有了ψ。 * * * 温习:按之前的摘录,为了找φ,转而求解“two-scale equation”,也就是(2.15) —— p.12, In practice, one can often start the whole constructionby choosing an appropriate φ, i.e., a function φ satisfying (2.15) for some c n . (2.15)   ...
通过摘录体会原著的心思和价值... * * * 借用代数符号,将多分辨分析记作(φ,V i ,L 2 (R))或(φ,V i )。很多代数对象用一个字作为名字,如群、环、域,不妨把多分辨分析称作“涟”,它满足四条“公理”,对应原著的 (2.1)-(2.4)。我也把多分辨分析称作“φ-计划”。 . p.11, “ If one restricts onese ...
Initially, these organizations were introduced to address problems, serving as tools and in an auxiliary status. It was only later that the focus shifted to studying the organizations themselves - in a word, abstract algebra is the study of the 'organization' itself. (I argued that ...