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function with angular limit - traduction vers russe

Limit preserving (order theory); Limit preserving function (order theory); Limit preserving function

function with angular limit

функция с угловым пределом

limit superior

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

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)

математика

верхний предел

superior limit

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

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)

superior limit максимум;

Définition

angular distance

Apparent distance, distance as measured by an angle.

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Wikipédia

Limit-preserving function (order theory)

In the mathematical area of order theory, one often speaks about functions that preserve certain limits, i.e. certain suprema or infima. Roughly speaking, these functions map the supremum/infimum of a set to the supremum/infimum of the image of the set. Depending on the type of sets for which a function satisfies this property, it may preserve finite, directed, non-empty, or just arbitrary suprema or infima. Each of these requirements appears naturally and frequently in many areas of order theory and there are various important relationships among these concepts and other notions such as monotonicity. If the implication of limit preservation is inverted, such that the existence of limits in the range of a function implies the existence of limits in the domain, then one obtains functions that are limit-reflecting.

The purpose of this article is to clarify the definition of these basic concepts, which is necessary since the literature is not always consistent at this point, and to give general results and explanations on these issues.

https://en.wikipedia.org/wiki/Limit-preserving function (order theory)

Traduction de &#39function with angular limit&#39 en Russe