Lower Bound (Noun)
Meaning
(mathematics) a number equal to or less than any other number in a given set.
Classification
Nouns denoting two and three dimensional shapes.
Examples
- The value 3 is a lower bound of the set of all positive integers that can be expressed as the sum of four perfect cubes.
- Finding a non-trivial lower bound for the Ramsey number R(5,5) is still an open problem in combinatorial mathematics.
- The lower bound of the interval [a,b] is a, and the upper bound is b.
- The function f(x) = x^2 has a lower bound of 0, since the square of any real number is non-negative.
- In this proof, we will show that the lower bound of the set of all possible solutions is greater than 0.