Conceptual Qs:----------

Are union and sum the same?

It depends. There is a common notation where the union is denoted by a + and called a sum, and similarly the intersection is called a product. This emphasizes the similarity in distributivity between the two operations.

Obviously if by "sum" you mean "adding together two numbers", then no, they are not the same.

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Originally Posted by jemidiah

It depends. There is a common notation where the union is denoted by a + and called a sum, and similarly the intersection is called a product. This emphasizes the similarity in distributivity between the two operations.

Obviously if by "sum" you mean "adding together two numbers", then no, they are not the same.

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Thanks again :)

A/c to me Union is used in case of groups and here the set of numbers or related to any group are called Union
And Sum is addition of numbers .Is'nt it ???

I cannot understand what you have written. I have no idea what you are asking.

Quote:

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Originally Posted by jemidiah

I cannot understand what you have written. I have no idea what you are asking.

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I was just confirming my concepts related to it .So Am i right???????

union is a collection of sets and is the set of all distinct elements in the collection. The union of a collection of sets gives a set .

and the Sum id addition of more than one elements............
Thanks .....:):confused::afrog::eek2:

Quote:

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Originally Posted by ak28it

union is a collection of sets and is the set of all distinct elements in the collection. The union of a collection of sets gives a set .

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Yes, the union of a collection of sets is the set containing all the elements in at least one set in the collection. Sets by definition have only 1 copy of each of their elements. For instance, {1, 2, 3} union {3, 4, 5} = {1, 2, 3, 4, 5}.

The sum of elements of a set is sometimes defined. For instance, we can compute the sum of two elements of the set {1, 2, 3}: 2+3 = 5, for instance. However, the sum of elements of an arbitrary set is not typically defined: for instance, given {Jim, John, Mary}, what is the sum of Jim and John?

Sometimes "sum" is used as a synonym for "union", though this notation is less common. In that case, "product" may be used for "intersection". Using the symbol + to indicate the union of sets can be somewhat problematic, because of the identical notation for the sumset. In practice, the distinction is clear from context.

Quote:

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Originally Posted by jemidiah

Yes, the union of a collection of sets is the set containing all the elements in at least one set in the collection. Sets by definition have only 1 copy of each of their elements. For instance, {1, 2, 3} union {3, 4, 5} = {1, 2, 3, 4, 5}.

The sum of elements of a set is sometimes defined. For instance, we can compute the sum of two elements of the set {1, 2, 3}: 2+3 = 5, for instance. However, the sum of elements of an arbitrary set is not typically defined: for instance, given {Jim, John, Mary}, what is the sum of Jim and John?

Sometimes "sum" is used as a synonym for "union", though this notation is less common. In that case, "product" may be used for "intersection". Using the symbol + to indicate the union of sets can be somewhat problematic, because of the identical notation for the sumset. In practice, the distinction is clear from context.

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Thanks jemidiah .............for your help and support .