Math and Arithmetic
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# Is the union of two convex sets a non-convex set?

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

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## Related Questions

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&amp;B= {1,2,3,4,5} Intersection of Sets A&amp;B = {2,3}

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.

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.

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 However this is clearly not the case since A intersect B is the null set. Therefore A union B is not convex in general.Example:A = [0,1], B = [2,3]. Choosing any point in A and any point in B, we find that there will be points on the line tx + (1-t)y that are not in A or B.

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

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.

the set is&lt;9,3,4,5,4,&gt; or&lt;8,7,9,0,&gt;

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.

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.

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.

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

union of setsintersection of setsdifference of setscomplement of setordered pair, ordered n-tupleequality of ordered n-tuplesCartesian product of sets* * * * *The complement of a set is the difference between that set and the Universal set. So the complement is only a special case of a difference.

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.

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

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.

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.

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.

The (operation) union in mathematics usually refers to sets of numbers and means the combination of those sets. The best way to describe it is to use an example: Take some set A with the numbers 1, 2, 3, 4, 5 in it and some set B with the numbers 1, 3, 5, 7, 9 in it. The union of these two sets would be the list of all things (list of elements) that is in EITHER set. As long as something is in one of the sets, it's in the union of the sets. Going with the example, the union of these two sets would be 1, 2, 3, 4, 5, 7, 9. Note though that you do NOT count something twice if it's in both sets, it's only counted once.

A set is a collection of distinct objects. Operations of sets include union, intersection, difference, complement, Cartesian product and n-tuple.

Union of Sets | Intersection of Set | Difference of Set | Complement of Set | Ordered Pair | Equality or Ordered n-tuples | Cartesian Products of Set :))โฅ

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