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

[ak28it]

Are union and sum the same?

[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.

[ak28it]

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.

Thanks again

[ak28it]

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 ???

[jemidiah]

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

[ak28it]

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

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 .....

[jemidiah]

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 .

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.

[ak28it]

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.

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