Table of Contents
What are some antonyms of compact?
antonyms for compact
- empty.
- loose.
- uncrowded.
- unfriendly.
- big.
- large.
- lengthy.
- long.
Can a person be compact?
Word forms: compacts A compact person is small but looks strong. He was compact, probably no taller than me.
Does compact mean small?
English Language Learners Definition of compact (Entry 1 of 2) : smaller than other things of the same kind. : using little space and having parts that are close together. : closely or firmly packed or joined together.
What is the synonym of compacted?
verb. 1’the snow has been compacted by cars’ compress, condense, pack down, press down, tamp, tamp down, cram down, ram down, flatten. loosen.
Is Z a compact?
Thus {Vi | i ∈ F} is a finite subcover of {Ui |i ∈ I} and we have shown that every open cover of Z has a finite subcover. Hence Z is compact.
Why is R not compact?
R is neither compact nor sequentially compact. That it is not se- quentially compact follows from the fact that R is unbounded and Heine-Borel. To see that it is not compact, simply notice that the open cover consisting exactly of the sets Un = (−n, n) can have no finite subcover.
What is a compact man?
compact, heavyset, stocky, thick, thicksetadjective. having a short and solid form or stature. “a wrestler of compact build”; “he was tall and heavyset”; “stocky legs”; “a thickset young man” compendious, compact, succinct, summaryverb.
What are some antonyms for depleted?
antonyms for depleted
- energized.
- full.
- augmented.
- enlarged.
- increased.
- unconsumed.
- unused.
Which is an example of a compact interval?
The unit interval [0,1] is compact. This follows from the Heine-Borel Theorem. Proving that theorem is about as hard as proving directly that [0,1] is compact. The half-open interval(0,1] is not compact: the open cover(1/n,1]for n=1,2,…does not have a finite subcover.
Can a compact vector space be an infinite dimension?
This is not true for infinite dimensions; in fact, a normed vector space is finite-dimensional if and only if its closed unit ball is compact. Any finite topological space is compact. Consider the set 2ℕof all infinite sequenceswith entries in {0,1}.
Is the closed unit ball of a normed vector space compact?
Again from the Heine-Borel Theorem, we see that the closed unit ballof any finite-dimensional normed vector spaceis compact. This is not true for infinite dimensions; in fact, a normed vector space is finite-dimensional if and only if its closed unit ball is compact.