Algebra is a form (or subset) of mathematics.
In abstract algebra, a generating set of a group is a subset of that group. In that subset, every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
the difference between a subset and a proper subset
Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,
give example of subset
Algebra is a form (or subset) of mathematics.
Algebra
Π R.l (R) ⊆ Π S.l (S)
In abstract algebra, a generating set of a group is a subset of that group. In that subset, every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones. We say a transformation T: A --> B is linear over field F if T(a + b) = T(a) + T(b) and kT(a) = T(ka) where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.
the difference between a subset and a proper subset
Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,
Because every set is a subset of itself. A proper subset cannot, however, be a proper subset of itself.
A is a subset of a set B if every element of A is also an element of B.
give example of subset
A subset of a set S can be S itself. A proper subset cannot.
A subset is a division of a set in which all members of the subset are members of the set. Examples: Men is a subset of the set people. Prime numbers is a subset of numbers.