The Solution Sets of ⌈x⌉² − 𝑐 = 0, ⌈x²⌉ − 𝑐 = 0 and x⌈x⌉− 𝑐 = 0 where 𝑐 is a Real Number
Keywords:
ceiling function, solution set, quadratic equationAbstract
The ceiling function of a real number , denoted by
, is the least integer greater than or equal to . In this article, the solution sets of
and
, where
is a real number are shown.
References
Graham RL, Knuth DE, & Patashnik O (1994) Concrete Mathematics, Addison- Wesley Publishing Company, Inc. United States of America, 2nd edition
Kitcharoensubdee W, Boonklurb R, & Laoharenoo A (2024) Solution Sets of Some Two-Term Quadratic Equations involving Floor Functions, Proceeding of The 50th International Congress on Science, Technology and Technology-based Innovation (STT50), The Empress Hotel, Chiang Mai, Thailand, 25-27 November, 2024.
Matsko VJ (2020) Quadratics and the Floor Function, Mathematics Magazine Vol.93, No.2, 104-112.
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