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What (who) is lower limit - definition

BOUNDS OF A SEQUENCE

Limit inferior; Lim sup; Lim inf; Limit superior; Limsup; Liminf; Limit superior of sets; Infimum limit; Supremum limit; Superior limit; Upper limit; Lower limit; Outer limit; Inner limit; Inferior limit; Limit superior & limit inferior; Limes supremum; Limes superior; Limit superior and limit inferior; Limit infimum; Limit supremum; Limit inferior (topological space); Limit superior (topological space)

$In case the sequence is bounded, for all <math>\epsilon > 0</math> almost all sequence members lie in the open interval <math>(\liminf_{n\to\infty} x_n - \epsilon,\limsup_{n\to\infty} x_n + \epsilon).</math>$

Detection limit

FOR A GIVEN ANALYTICAL PROCEDURE, CONCENTRATION OR QUANTITY DERIVED FROM THE SMALLEST MEASURE THAT CAN BE DETECTED WITH REASONABLE CERTAINTY

Limit of detection; Limit of Detection; Detection Limits; Limit of quantification; LOQ; Limit of quantitation

The limit of detection (LOD or LoD) is the lowest signal, or the lowest corresponding quantity to be determined (or extracted) from the signal, that can be observed with a sufficient degree of confidence or statistical significance. However, the exact threshold (level of decision) used to decide when a signal significantly emerges above the continuously fluctuating background noise remains arbitrary and is a matter of policy and often of debate among scientists, statisticians and regulators depending on the stakes in different fields.

https://en.wikipedia.org/wiki/Detection_limit

Tolman–Oppenheimer–Volkoff limit

UPPER BOUND TO THE MASS OF COLD, NONROTATING NEUTRON STARS

TOV limit; Oppenheimer–Volkoff limit; Tolman-Oppenheimer-Volkov limit; Oppenheimer-Volkov limit; Tolman-Oppenheimer-Volkoff limit; Tolman-Oppenheimer-Volkoff Limit; Oppenheimer-Volkoff limit

The Tolman–Oppenheimer–Volkoff limit (or TOV limit) is an upper bound to the mass of cold, nonrotating neutron stars, analogous to the Chandrasekhar limit for white dwarf stars. If the mass of the said star reaches the limit it will collapse to a denser form.

https://en.wikipedia.org/wiki/Tolman–Oppenheimer–Volkoff_limit

Direct limit

COLIMIT OF A "DIRECTED FAMILY OF OBJECTS"

Inductive limit; Direct system (mathematics); Directed union

In mathematics, a direct limit is a way to construct a (typically large) object from many (typically smaller) objects that are put together in a specific way. These objects may be groups, rings, vector spaces or in general objects from any category.

https://en.wikipedia.org/wiki/Direct_limit

Wikipedia

Limit inferior and limit superior

In mathematics, the limit inferior and limit superior of a sequence can be thought of as limiting (that is, eventual and extreme) bounds on the sequence. They can be thought of in a similar fashion for a function (see limit of a function). For a set, they are the infimum and supremum of the set's limit points, respectively. In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them; the type of object and the measure of size is context-dependent, but the notion of extreme limits is invariant. Limit inferior is also called infimum limit, limit infimum, liminf, inferior limit, lower limit, or inner limit; limit superior is also known as supremum limit, limit supremum, limsup, superior limit, upper limit, or outer limit.

The limit inferior of a sequence $(x_{n})$ is denoted by

and the limit superior of a sequence

(x_{n})

is denoted by

https://en.wikipedia.org/wiki/Limit inferior and limit superior

Examples of use of lower limit

1. The theoretical absolute lower limit, however, is zero degrees centigrade.

2. Other economists criticised the BoJ for having zero as its lower limit for desirable inflation.

3. King replied that if he recommended a lower limit, he would lose credibility with the government.

4. Greig and Norris feel that the lower limit for Tintin should be seven or eight.

5. But six Tory frontbenchers yesterday said they would use Tuesday‘s crunch vote to press for a lower limit.