THE SETS THEORY by https://padlet.com/desybranc/9v27bp81sccv Realized by Annapia e Cristina!!!!! en-us 2018-11-30 14:02:01 UTC 2024-07-19 11:10:10 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Balance.png THE SIGNS OF THE SETS desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309771742 The signs are:
icates a collection 
A=indefined
a=indicates an element of A 
∈=belongs
∉=doesen't belongs
∅=empty set
The sets must be well dA=indefined
EXAMPLE:
A={a,b,c} TABULOR FORM



]]> 2018-11-30 14:15:38 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309771742 Definition of a Set desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309808730 a set is a well defined collection of distinct object i.e. the nature of the nature of the object is the same or in other words the object in a set may be anything:numbers,people,places,letters,etc.
These objects are called the elements or membres of the set.]]> 2018-11-30 15:15:19 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309808730 Concept of subset desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309815925 Proper subset:
B⊂A ⇔ Every element of B is also an element of A 
                      ↓]]> 2018-11-30 15:26:49 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309815925 Subset desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309835019 B⊆A ⇔ ∄x∈A,x∈B 
                   ↓
There is an element of A what is an element of B 
∅⊆A=A=∅]]> 2018-11-30 15:59:59 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309835019 SET OPERATION desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309845806 2018-11-30 16:17:41 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309845806 INTERSECTION desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309849307 x ∈ A∩B ⇔ x ∈ A e x ∈ 
 when both A and B belongs is intersection
C∩D=∅=disjoint]]> 2018-11-30 16:23:12 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309849307 UNION desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/309858775 x ∈ A∪B ⇔ x ∈ A x ∈]]> 2018-11-30 16:40:27 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/309858775 OPERATIONS WITH THE SETS desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/323977421 2019-01-24 15:50:55 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/323977421 DIFFERENCE WITH THE SETS desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/323991103   You define the difference between two sets all elements of the first set that do not belong to the second set; ]]> 2019-01-24 16:11:31 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/323991103 PROPERTIES OF OPERATIONS desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/324005161 the main property of the Union and intersection are:
           ASSOCIATIVE PROPRETY
 for union:      (A  B)  C = A  (B  C) 
 for intersection :      (A  B)  C = A  (B  C) 
      PROPERTY OF THE EMPTY SET
for union:      A  Ø = Ø  A = A 
 for union  the empty set is the neutral element
  for intersection:      A  Ø = Ø  A = Ø
  to the intersection of the empty set is the absorbing element
           DISTRIBUTIVE PROPERITY
the Union compared to the intersection: 
      A  (B  C) = (A  B)  (A  C) 
 the intersection compared to the Union: 
      A  (B  C) = (A  B)  (A  C) 
]]> 2019-01-24 16:34:02 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/324005161 MULTIPLICATION BETWEEN SETS desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/324026490 is CARTESIAN PRODUCT]]> 2019-01-24 17:06:37 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/324026490 desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/324030641 Define Cartesian product AxB of two sets A and B the set of all an element of A and as a second element an element of B ordered pairs whose first element
Data sets   
A = { 1, 2, 3, 4 }
B = { a, b, c }
I build all couples considering as the first item in an element of A and as a second element an element of B
Axb= { (1,a) (1,b) (1,c) (2,a) (2,b) (2,c) (3,a) (3,b) (3,c) (4,a) (4,b) (4,c) }]]> 2019-01-24 17:14:11 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/324030641 SUPPLEMENTARY SET desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/324044276 is the set of elements that do not belong to a set of reference.  Given two sets A and B, where B is a subset of A, the set of B than A is the set difference A-B (difference sets). ]]> 2019-01-24 17:38:10 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/324044276 desybranc https://padlet.com/desybranc/9v27bp81sccv/wish/370858405 2019-07-11 12:17:36 UTC https://padlet.com/desybranc/9v27bp81sccv/wish/370858405