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Qué (quién) es lower semicontinuity - definición

PROPERTY OF FUNCTIONS WEAKER THAN CONTINUITY

Semicontinuous; Semicontinuity; Semi-continuous; Lower semi-continuous; Upper semi-continuous; Lower semicontinuous; Upper semicontinuous; Semi-continuous function; Semi-continuous mapping; Semicontinuous function; Upper-semicontinuous; Upper semicontinuity; Lower semicontinuity; Upper semi-continuity; Lower semi-continuity

$A lower semicontinuous function that is not upper semicontinuous. The solid blue dot indicates <math>f\left(x_0\right).</math>$
$An upper semicontinuous function that is not lower semicontinuous. The solid blue dot indicates <math>f\left(x_0\right).</math>$

Semi-continuity

In mathematical analysis, semicontinuity (or semi-continuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function f is upper (respectively, lower) semicontinuous at a point x_0 if, roughly speaking, the function values for arguments near x_0 are not much higher (respectively, lower) than f\left(x_0\right).

https://en.wikipedia.org/wiki/Semi-continuity

Lower Arrernte language

EXTINCT AUSTRALIAN ABORIGINAL LANGUAGE

Lower Aranda language; Lower Arrernte dialect; Lower Arrernte; Lower Southern Aranda language; Lower Aranda; ISO 639:axl; Lower Aranda dialect; Lower Southern Aranda; Alenjerntarpe language; Alenjerntarrpe

Lower Arrernte, also known as Lower Southern Arrernte, Lower Aranda, Lower Southern Aranda and Alenjerntarrpe, was an Arandic language (but not of the Arrernte language group). Lower Arrernte was spoken in the Finke River area, near the Overland Telegraph Line station at Charlotte Waters, just north of the border between South Australia and the Northern Territory, and in the Dalhousie area in S.

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

second chamber

CHAMBER OF A BICAMERAL LEGISLATURE

Lower House; Second chamber; Lower chamber

The second chamber is one of the two groups that a parliament is divided into. In Britain, the second chamber is the House of Lords. In the United States, the second chamber can be either the Senate or the House of Representatives.

N-SING

Wikipedia

Semi-continuity

In mathematical analysis, semicontinuity (or semi-continuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function $f$ is upper (respectively, lower) semicontinuous at a point $x_{0}$ if, roughly speaking, the function values for arguments near $x_{0}$ are not much higher (respectively, lower) than $f\left(x_{0}\right).$

A function is continuous if and only if it is both upper and lower semicontinuous. If we take a continuous function and increase its value at a certain point $x_{0}$ to $f\left(x_{0}\right)+c$ for some $c>0$ , then the result is upper semicontinuous; if we decrease its value to $f\left(x_{0}\right)-c$ then the result is lower semicontinuous.

The notion of upper and lower semicontinuous function was first introduced and studied by René Baire in his thesis in 1899.

https://en.wikipedia.org/wiki/Semi-continuity