compactness - Meaning in Kannada
compactness - Meaning in Kannada
noun
- +1
compactness Word Forms & Inflections
Definitions and Meaning of compactness in English
compactness noun
- the consistency of a compact solid
- the spatial property of being crowded together
Synonyms
concentration, denseness, density, tightness
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Synonyms of compactness
Description
In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures" or "missing endpoints", i.e., it includes all limiting values of points. For example, the open interval (0,1) would not be compact because it excludes the limiting values of 0 and 1, whereas the closed interval [0,1] would be compact. Similarly, the space of rational numbers is not compact, because it has infinitely many "punctures" corresponding to the irrational numbers, and the space of real numbers is not compact either, because it excludes the two limiting values and . However, the extended real number line would be compact, since it contains both infinities. There are many ways to make this heuristic notion precise. These ways usually agree in a metric space, but may not be equivalent in other topological spaces.
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What is compactness meaning in Kannada?
The word or phrase compactness refers to the consistency of a compact solid, or the spatial property of being crowded together. See compactness meaning in Kannada, compactness definition, translation and meaning of compactness in Kannada. Find compactness similar words, compactness synonyms. Learn and practice the pronunciation of compactness. Find the answer of what is the meaning of compactness in Kannada.
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What is compactness meaning in Kannada, compactness translation in Kannada, compactness definition, pronunciations and examples of compactness in Kannada.