Lexic.us

Definition of Lower limit

1. Noun. The smallest possible quantity.

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

Lexicographical Neighbors of Lower Limit

lower extremes lower extremity lower eyelid lower heating value lower house lower houses lower hybrid waves lower ivy lower jaw lower jawbone

lower lateral cutaneous nerve of arm lower leaf zone lower lid lower limb lower limit (current term) lower limits lower lip lower lobe of lung lower mantle lower motor neuron

lower motor neuron dysarthria lower motor neuron lesion lower nephron nephrosis lower nodal extrasystole lower oesophageal sphincter lower oneself lower quartile lower rank lower respiratory infection

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 ..."

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