"Inclusion" and "true inclusion" are the relations between sets, which are also called subsets and proper subset relations. The real inclusion is inclusion first (the elements of the previous set are all elements of the latter set), but the latter set has elements that are not the previous set.

2. The difference between "contained in" and "really contained in":

"Inclusion in" and "True Inclusion in" are both concepts of mathematical sets. The difference between them lies in whether the former is the proper subset of the latter, while the former is the proper subset of the latter, which is "True Inclusion". The former is a subset of the latter and may be equal to the latter, so it is "contained in".

3. "Inclusion" and "inclusion in" are both active and passive, and their affiliation is different. Tolerance is active, and tolerance is passive.

Analysis:

1, contained in

A containing symbol is a symbol used to indicate that one set is a subset of another set. If a is contained in b, it means that set a is contained in set b, or a is a subset of b, and it is recorded as a? B.

2. Truth is contained in

The symbol of true inclusion is a symbol used to indicate that one set is the proper subset of another set. If A is really contained in B, it means that the set A is really contained in the set B, or A is the proper subset of B, and it is called A? B.

3, including

Inclusion between sets is called inclusion. If any element of the set A is an element of the set B, then the set A is called a subset of the set B, denoted as A? B or B? Answer.

4. For example:

Let a = {1, 2,3} b = {1,2,3} c = (1,2).

A contains b, and a contains C.

A really contains c (not really b)

C is included in a (or b)

B is included in a.

C is indeed included in a.

Extended data:

inclusion relation

1, definition:

Inclusion is the subordinate relationship between sets, also called subset relationship. The basic meaning is similar to implication, suggestion, inclusion and relative adjectives. From Han Huan Kuan's Theory of Salt and Iron: "Jun is inclusive, inclusive, selfless, not near, not far." .

2. Classification:

(1) contained in (contained)

(2) true inclusion in

3. Nature

(1) Transitivity: If set A is contained in set B and set B is contained in set C, then set A is contained in set C. ..

(2) Attribution: Set A is included in Set B, then Set A is in Set B and belongs to B. ..

Baidu Encyclopedia-Inclusion Relation