
Definition of Lower limit
1. Noun. The smallest possible quantity.
Generic synonyms: Extremum, Peak, Small Indefinite Amount, Small Indefinite Quantity
Specialized synonyms: Skeleton
Antonyms: Maximum
Derivative terms: Minimise, Minimise, Minimize, Minimize, Minimize
2. Noun. The limit on the lower (or southernmost) side of something.
Definition of Lower limit
1. Noun. (analysis) The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the "first subsequence." Then remove the first term of the first subsequence in order to obtain the "second subsequence." Repeat the removal of first terms in order to obtain a "third subsequence," "fourth subsequence," etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit. ¹
¹ Source: wiktionary.com
Lower Limit Pictures
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Lexicographical Neighbors of Lower Limit
Literary usage of Lower limit
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"An upper or lower limit, which is attained, is an extreme point of the set of
... An upper or a lower limit which is not attained is certainly a limiting ..."
2. A Treatise on Electricity and Magnetism by James Clerk Maxwell (1904)
"For the lower limit of the resistance we shall suppose that an infinitely thin
disk of perfectly conducting matter is placed between the end of the cylinder ..."
3. An Elementary Course of Infinitesimal Calculus by Horace Lamb (1897)
"Upper or lower limit of an Assemblage. Before proceeding further with the theory
of continuous functions it is convenient to extend the definitions of the ..."
4. The Earth: A Descriptive History of the Phenomena of the Life of the Globe by Elisée Reclus (1873)
"lower limit OP SNOW. — ZONE OP PERPETUAL OR PERMANENT SNOW. THERE are few sights
more charming than that of the clouds sweeping in long trains over the ..."
5. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"A little below it the lower limit of the great pectoral muscle is seen running
upward and outward to the axilla; in the female this is obscured by the ..."