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the union of two convex sets need not be a convex set.

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โˆ™ 2009-12-19 05:30:14
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Q: Is the union of two convex sets a non-convex set?
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Related questions

Is A union B a convex set?

yes


What is union and intersection of set?

Union: putting the elements of the sets together Intersection: getting the common elements of the sets Example: Set A={1,2,3} Set B={2,3,4,5} Union of Sets A&B= {1,2,3,4,5} Intersection of Sets A&B = {2,3}


Why empty set is a set?

The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.


What is for two sets the set of all elements that are in either set?

That is called the UNION of the two sets.


What is the union intersection set?

Given two or more sets there is a set which is their union and a set which is there intersection. But, there is no such thing as a "union intersection set", as required for the answer to the question.


What is the definition of union in math?

A union of two sets is the set that contains all the elements that are in any of the original sets.


what is union of two sets?

the union of two sets A and b is the set of elements which are in s in B,or in both A and B


What is the definition of union of sets?

the set is<9,3,4,5,4,> or<8,7,9,0,>


Show that A union B is not a convex set?

In some cases, A union B is convex, but in general this may not be true. Consider two sets A, B (subsets of Rn) such that A intersect B is the null set. Now choose a point x in A, and y in B. If a set is to be convex, then all points on the line tx + (1-t)y (0


What set is the union of the sets of non negative integers and negative integers?

It is a universal set


In math what does the union of two sets mean?

The union of two sets A and B is a set that consists of all elements which are either in A, or in B or in both.


Is the union of disjoint sets is always the empty set?

No, only if both sets are empty. The intersection of disjoint sets is always empty.


What for two sets is the set of all elements that are in either set?

The union of a collection of sets is defined as the set of all distinct elements that are in the collection. This includes the specific case where the collection consists of two sets.


What is the union of X and Y?

The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.


What are operations of sets?

union of sets,intersection of sets,difference of sets,ordered pair,ordered n-touples,cartician product of setThe basic operations are union and intersection. The complement of the set is also a basic operation.


What is union set?

anung meaning


Difference between Union and Set Intersection Operation?

union means to group the given sets. where as intersection means to pick out the common elements from the given sets. if set a has 1,2,3 elements and B has 1,2,3,4,5. then its union will have 1,2,3,4,5 as its elements. and its intersection will have 1,2,3 as its elements.


Is there any case when union and intersection are same in sets?

if we have set A and B consider A={1,2,3,4}and B={3,4,5,6} the union of these sets is A and B={1,2,3,4,5,6}and the intersection is{3,4} the union and the intersection are same only if A=B


What numbers are The union of the rational and irrational numbers?

The real numbers.


Can a null set be in union with a set of numbers in math?

Yes. Union is an operation in which all the members of any two sets are placed in a common set. The union operation can be applied to the null set and any set but since it has no members, it does not change the set the union is taken with. It is rather like adding 0 to a number.


What is the union of sets if one set is the set of prime numbers another set is the set of composite numbers?

The set of counting numbers greater than one.


What does the math word union mean?

ALL the elements in set A combined with all the elements in set B.Example:When A={1,2,3,4} and B={2,3,6} The union of Sets A and B would be: {1,2,3,4,6} , because both sets contain those numbers.


Is a circle a convex set?

no


Intersection of two convex set is convex?

The proof of this theorem is by contradiction. Suppose for convex sets S and T there are elements a and b such that a and b both belong to S∩T, i.e., a belongs to S and T and b belongs to S and T and there is a point c on the straight line between a and b that does not belong to S∩T. This would mean that c does not belong to one of the sets S or T or both. For whichever set c does not belong to this is a contradiction of that set's convexity, contrary to assumption. Thus no such c and a and b can exist and hence S∩T is convex.


What is the union set?

The union of two sets, X and Y, is the set containing all the elements that are either in X or in Y or in both. Duplicate entries are usually removed.