From Wiktionary, the free dictionary
( US ) IPA (key ) : /ˈæb.səˌlut ˈkɑn.stn̩t/ , /ˌæb.səˈljut ˈkɑn.stn̩t/
absolute constant (plural absolute constants )
( mathematics ) A constant that maintains the same value wherever it occurs; such as π.[ 1]
2004 , Chunjie Wang, “On Korenblum's constant”, in Journal of Mathematical Analysis and Applications [1] , volume 296 , number 1, Elsevier, →DOI , →ISSN , pages 262–264 :Korenblum conjectured that there is an absolute constant
c
∈
(
0
,
1
)
{\displaystyle c\in (0,1)}
, such that whenever
|
f
(
z
)
|
⩽
|
g
(
z
)
|
{\displaystyle |f(z)|\leqslant |g(z)|}
(
f
,
g
∈
A
2
(
D
)
)
{\displaystyle (f,g\in A^{2}(D))}
in the annulus
c
<
|
z
|
<
1
{\displaystyle c<|z|<1}
, then
|
|
f
|
|
⩽
|
|
g
|
|
{\displaystyle ||f||\leqslant ||g||}
.
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.
^ Philip Babcock Gove (editor), Webster's Third International Dictionary of the English Language, Unabridged (G. & C. Merriam Co., 1976 [1909], →ISBN ), page 7