### Definition of Lower bound

1. Noun. (mathematics) a number equal to or less than any other number in a given set.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Bound, Boundary, Edge

### Lower Bound Pictures

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### Lexicographical Neighbors of Lower Bound

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### Literary usage of Lower bound

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Encyclopedia Americana: A Library of Universal Knowledge (1919)
"It follows immediately that every set having a lower bound has a greatest lower bound. The greatest lower bound or least upper bound of a set may or may not ..."

2. Societal Value of Geologic Maps by Richard L. Bernknopf (1994)
"Potential Lower-Bound Bias on the Net Benefit Measure These results should be considered a lower-bound estimate of benefits. Whether the net benefits ..."

3. Higher Order Asymptotics by J. K. Ghosh (1994)
"So something like a (conservative) lower bound to the mean square of an estimate is needed. The Cramer-Rao bound will not do because it either requires ..."

4. An Introduction to Continuity, Extrema, and Related Topics for General by Robert J. Adler (1990)
"lower bound Proof. The time has now come to tackle the hardest proof in these notes, that of establishing the lower bound in Theorem 4.1. ..."

5. Proceedings of the London Mathematical Society by London Mathematical Society (1908)
"... upper double ^ upper-upper ; for functions with a finite lower bound, ... for functions with an infinite lower bound, that lower-upper > lower double. ..."

6. Statistics in Molecular Biology and Genetics: Selected Proceedings of a 1997 by Françoise Seillier-Moiseiwitsch (1999)
"Using a = 1.46, T = 106° and b = 1.45, we obtain a lower bound of 2.32. ... For NO pairs, we suggest a lower bound of 2.80; for other pairs, ..."

7. Adaptive Designs: Selected Proceedings of a 1992 Joint Ams-Ims-Siam Summer by Nancy Flournoy, William F. Rosenberger, American Mathematical Society, Institute of Mathematical Statistics (1995)
"Procedure RHLB is based on the Huffman lower bound and Shannon-entropy criteria. All of the algorithms introduced have low design complexity and yet provide ..."