absolute constant

• (US) IPA^(key): /ˈæb.səˌlut ˈkɑn.stn̩t/, /ˌæb.səˈljut ˈkɑn.stn̩t/

absolute constant (plural absolute constants)

1. (mathematics) A constant that maintains the same value wherever it occurs; such as π.
   • 2004, Chunjie Wang, “On Korenblum's constant”, in Journal of Mathematical Analysis and Applications‎, volume 296, number 1, Elsevier, →DOI, →ISSN, pages 262–264:

     Korenblum conjectured that there is an absolute constant ${\displaystyle c\in (0,1)}$, such that whenever ${\displaystyle |f(z)|\leqslant |g(z)|}$ ${\displaystyle (f,g\in A^{2}(D))}$ in the annulus ${\displaystyle c<|z|<1}$, then ${\displaystyle ||f||\leqslant ||g||}$.

2. Used other than figuratively or idiomatically: see absolute,‎ constant.
   • 1907, William Estabrook Chancellor, A Theory of Motives, Ideals, and Values in Education, Houghton, Mifflin, →LCCN, →OCLC, page 424:

     Play is an absolute constant in education from birth until full maturity; and it is a very valuable aid in manhood and down to old age.