inf
The largest number that is less than or equal to all numbers in a set
- symbol
- Specialized
:
ínfimo
- In calculus, we often use inf to denote the infimum of a set.
Examples
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The inf character is commonly used in mathematical notation to signify the greatest lower bound.
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And the Lim INF of X of N, this is defined to be the limit as N goes to Infinity of the B sub NS.
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Therefore Lim INF of FN of X = F of X.
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When solving limits, students frequently encounter the symbol inf in their equations.
Synonyms
The largest number that is not greater than any number in a group of numbers
is the same concept but shown by a short symbolic label
Surface Forms
inf main
Etymology
In mathematics, inf comes from infimum, a word that means 'lowest', and it is like minimum. So inf marks the 'lowest limit' that a set of numbers can reach.