https://padlet.com/annachiaranullo/hkv8et1umis4 "Set theory" by Anna,Giulia,Miriana and Francesca. Made with love,guys!💘 en-us 2018-11-30 09:36:44 UTC 2024-06-01 11:38:03 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Rocket.png annachiaranullo https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314465565 CAPITAL LETTER=SETS
SMALL LETTER=ELEMENTS
X=general element
A={a,e,i,o,u}=TABULAR FORM
A={x|x is a vocal of the alphabet}
|=such as


]]> 2018-12-13 20:43:24 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314465565 annachiaranullo https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314471641 BUILDER FORM
VENN'S DIAGRAM is a simple circle.In it,we can represent our set's elements.

]]> 2018-12-13 21:04:04 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314471641 annachiaranullo https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314474728 The universal set is bigger than the others and contains them.
u=universal set.
{8,4,7} belongs to u.

]]> 2018-12-13 21:15:25 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314474728 annachiaranullo https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314477783 RELATION BETWEEN TWO SUBSETS
Some authors use the symbols ⊂ and ⊃ to indicate subset and superset respectively; that is, with the same meaning and instead of the symbols, ⊆ and ⊇.So for example, for these authors, it is true of every set A that A ⊂ A.
EXAMPLES:

• The set A = {1, 2} is a proper subset of B = {1, 2, 3}, thus both expressions A ⊆ B and A ⊊ B are true.
• The empty set { }, denoted by ∅, is also a subset of any given set X. It is also always a proper subset of any set except itself.

]]> 2018-12-13 21:27:41 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/314477783 annachiaranullo https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316297327 UNION
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
Elements can't be duplicated.
Ex:
A={1,3,6,8}
B={1,6,10,12}
A∪B={1,3,6,8,10,12}]]> 2018-12-20 21:05:18 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316297327 mirianamiceri04 https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316298439 The set B is strictly included in set A when every element of B is also element of A, but there are also elements of A that aren't elements of B.]]> 2018-12-20 21:12:28 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316298439 pagnottafrancescapia https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316300873 the intersection of two sets: “A” and “B” is the set that contains all elements of A that also belong to B. we could write:
A ∩ B = { x| x( a ∈ A) ∧ ( b ∈ B)}

]]> 2018-12-20 21:26:14 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316300873 montigiulia1006 https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316499805 Set subtraction is a method which modifies a set by just removing the elements that belong to another set. This operation is represented by the symbols of minus or backslash (by - or \). 
Ex: P\Q = P - Q = {x : x in P and x not in Q} 
Q\P = Q - P = {x : x in Q and x not in P}

]]> 2018-12-22 07:33:41 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/316499805 pagnottafrancescapia https://padlet.com/annachiaranullo/hkv8et1umis4/wish/317176368 A partition of a set A is by definition any collection of subsets of A such that they are not empty, that they have an empty intersection two by two and such that their union coincides with the whole set A.

 We will say that two or more subsets of A form a partition of A if they satisfy three conditions:
 1) nobody must be empty;
 2) in any case two subsets are taken and their intersection must be empty;
 3) their union must give us all the whole A.

]]> 2019-01-03 10:18:47 UTC https://padlet.com/annachiaranullo/hkv8et1umis4/wish/317176368