Gavran's latest activity
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GGavran replied to the thread Finding the number of ways to arrange identical balls in a circle.For more complicated problems than this one in the original post the formula is $$...
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GGavran replied to the thread Finding the number of ways to arrange identical balls in a circle.You do not need any formula to solve this problem. With two blue balls and two red balls you have two cases BBRR and BRBR. How many...
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GGavran replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.The first statement of the theorem was published in 1887 by Georg Cantor. If M and N are two such sets that components M' and N' can be...
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GGavran reacted to fresh_42's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with
Informative.
If we have an injective map ##f\, : \,A\rightarrow B## then its restriction on the image ##f'\, : \,A \rightarrow f(A)## is bijective. -
GGavran replied to the thread I About the existence of Hamel basis for vector spaces.The answer to the post #8: Yes, it does.
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GGavran replied to the thread I About the existence of Hamel basis for vector spaces.The Axiom of Choice and the existence of a Hamel basis imply each other.
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GGavran replied to the thread I About the existence of Hamel basis for vector spaces.A ⇔ B The exclusion of A does not produce B is false.
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GGavran reacted to Charles Link's post in the thread B Venus and Jupiter Conjunction with Informative.
With Venus having a shorter period around the sun than Earth, with Earth having a much shorter period than Jupiter, Venus has now...
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GGavran replied to the thread I About the existence of Hamel basis for vector spaces.It can be shown that if the Axiom of Choice is false, then there are vector spaces with no Hamel basis. The exclusion of the Axiom of...
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GGavran replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.You already have the proof of the theorem on page 29 of the book. By the way, the more common statement of the Schroeder-Bernstein...
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GGavran reacted to mcastillo356's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with
Like.
I'm working on the Schroether-Bernstein theorem, this is, the next step in the textbook "Introduction to topology and modern analysis"... -
GGavran reacted to PeroK's post in the thread Making the denominator of a certain fraction real with Like.
##zz^*## is always real.
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GGavran reacted to chwala's post in the thread I Determine whether ##125## is a unit in ##\mathbb{Z_471}## with Like.
Thks @Gavran ,I will check on your approach...
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GGavran replied to the thread I Determine whether ##125## is a unit in ##\mathbb{Z_471}##.Although you have not used the standard step-by-step approach, your solution is also correct.
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GGavran reacted to chwala's post in the thread I Determine whether ##125## is a unit in ##\mathbb{Z_471}## with Like.
This is the question, I understand the concept, in ##\mathbb{Z_n}## an element is a is a unit if and only if gcd( a,n) =1. My...