base casen.
/ˈbeɪs ˌkeɪs/, U.S. /ˈbeɪs ˈkeɪs/ 1. The particular case of a system being analysed in which no variables are changed from their initial values.
ΚΠ
1963 Jrnl. Marketing 27 No. 1. 11/1 The computer run for the base case showed some interesting results for the relevant variables.
1983 Science 28 Jan. 359/1 In the base case the demand for electricity would be 80 terawatt-hours.
2010 R. S. J. Tol in B. Lomborg Smart Solutions Climate Change 89/1 In the base case, the global mean temperature increases by 2.5°C in equilibrium for a doubling of CO2 equivalents.
2. Mathematics. The initial statement proved in an induction, forming the first element of the infinite sequence generated by the induction.
ΚΠ
1975 Jrnl. Philos. Logic 4 390 The base case being immediate, we proceed to the inductive case .
1994 Linguistics & Philos. 17 660 In the base case of the induction, we take the sequent-degree to be 0.
2008 College Math. Jrnl. 39 364 The base case n = 0 is true precisely because of the hypotheses described in the first paragraph of this proof.
This is a new entry (OED Third Edition, December 2012; most recently modified version published online December 2021).
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n.1963