Determine whether the following sets/elements/functions are ∅-definable in respective structures; prove all your answers. a. The set of non-negative numbers in (ℚ, +). b. The set of non-negative numbers in (ℚ, +, ·). c. The function max(x, y) in (ℝ, <).
Determine whether the following sets/elements/functions are ∅-definable in respective structures; prove all your answers. a. The set of non-negative numbers in (ℚ, +). b. The set of non-negative numbers in (ℚ, +, ·). c. The function max(x, y) in (ℝ, <).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 4CR
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Determine whether the following sets/elements/functions are ∅-definable in respective structures; prove all your answers.
a. The set of non-negative numbers in (ℚ, +).
b. The set of non-negative numbers in (ℚ, +, ·).
c. The function max(x, y) in (ℝ, <).
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