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Q: What is the Set of elements that belongs to at least two different set?
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What is the meaning of set in mathematics?

Sets are just collections of things. A set is defined by the things that belong to it- that is if you have two sets A and B and everything that belongs to A belongs to B and everything that belongs to B belongs to A then A and B are actually the same set. An important example is the empty set - which by definition contains nothing. There is only one empty set. The things that belong to a set are calle its elements There are different ways of defining sets. You can define them by listing their elements, or you can define them by giving one or more properties that uniquely define the elements that belong to the set.


What is the meaning of the word elements?

An item that belongs to a set


What are the properties of the subgroup in abstract algebra?

The properties are as follow:The operation of two elements belonging to the set is closed.The identity belongs to the setThe inverse also belongs to the set


What are the properties of topology in point-set topology?

In point-set topology, the properties of the set S are:X and ∅ belongs to the set S.The intersection of any subsets belongs to the set S.The union of any subsets belongs to the set S.For instance:Let τ = {X,∅}. Then, it's the topology. We call that the trivial or discrete topology. If the set is indiscrete topology, then it contains infinitely many elements!


Is 5 closed under multilplication?

No. Closure under multiplication is a property of a set of numbers. It requires that if x and y are elements of the set (not necessarily different), then x*y is also an element of the set. If the set consists only of the number 5, ie S = {5}. Since 5 belongs to S, closure would require that 5*5 belongs to the set. It clearly does not and so the set cannot be closed.


What are the different subsets in a set?

They are collections of some, or all, of the elements of the set. A set with n elements will have 2^n subsets.


What is the set notation for G?

The set notation for G would be written as G = {...}, where the ellipsis (...) represents the elements of the set G.


Why all sets have at least one element?

That's not true. All sets have zero or more elements. You can have a set with zero elements - the "empty set".


What is basic concepts of set theory?

The basic concepts are:a setsome elements, anda rule which can be used to decide whether or not a particular element belongs to the set.


How many subsets does 6 elements have?

If you have a set of 6 elements, you can make a total of 26 different subsets - including the empty set and the set itself.


When the elements combine to form compound how many are there?

Different compounds have different numbers of constituent elements. here is no set number.


What are the different kinds of sets according to the relationship?

There are various types of sets based on the relationship between their elements. Some common types include: Empty set: A set containing no elements. Singleton set: A set with only one element. Finite set: A set with a countable number of elements. Infinite set: A set with an uncountable number of elements. Subset: A set where all elements are also elements of another set. Proper subset: A subset that is not equal to the original set. Universal set: A set that contains all elements under consideration. Disjoint set: Sets that have no common elements. Power set: A set consisting of all possible subsets of a given set.