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Is Closed and bounded subset of a complete metric space compact?

No.


How do you use bounded in a sentence?

I am bound to take science in school (there's no way out of it).


Definition of geometric solid?

a portion of space that is bounded on all sides


Is the identity function bounded or unbounded?

That depends! The identity operator must map something from a space X to a space Y. This mapping might be continuous - which is the case if the identify operator is bounded - or discontinuous - if the identity operator is unbounded.


What is bounded by the interior surface of the chest wall and the exterior surface of the lung?

interpleural space


What is a solid that is bounded by polygons called faces that enclose a single region of space?

It is called a polyhedron.


Are geometric planes and geometric space infinitely large?

Yes, unless specifically described as bounded.


Vestibular-perineal structure anterior to posterior?

The anterior structures of the vestibular-perineal region include the clitoris, urethra, and vaginal opening. Moving posteriorly, you will find the hymen, perineal body, and anus. The perineum extends between the thighs and is crucial for supporting the pelvic floor muscles.


Can give the Examples for compact spaces in topology?

Any closed bounded subset of a metric space is compact.


What is difference between polygon and three dimension?

Almost everything is different!A polygon is a closed shape in 2 dimensional space, bounded by straight lines. Three dimension is a description of normal space.


Are bounded domain functions periodic?

No. You can always "cheat" to prove this by simply giving the function's domain a bound.Ex: f: [0,1] --> RI simply defined the function to have a bounded domain from 0 to 1 mapping to the codomain of the set of real numbers. The function itself can be almost anything, periodic or not.Another way to "cheat" is to simply recognize that all functions having a domain of R are bounded functions, by definition, in the complex plane, C.(Technically, you would say a non-compact Hermitian symmetric space has a bounded domain in a complex vector space.) Obviously, those functions include non-periodic functions as well.


What type of margin adds extra space to the left top or inside of a document that is bounded such as a book?

The type of margin that adds extra space to the left, top, or inside of a document, especially in bounded formats like books, is called a "gutter margin." This margin is specifically designed to accommodate binding and ensure that text does not get lost in the spine, providing a more readable layout. The gutter margin is usually wider than other margins to allow for this extra space.