Set Theory by matteo patierno https://padlet.com/matteopatierno2004/1jq4p8yxoe8l realizzato con taaanta voglia da Matteo Patierno en-us 2018-12-14 20:10:13 UTC 2024-08-23 09:23:37 UTC hello@padlet.com Sets matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314818136 A set is a collection of elements determined by a precise rule that allows us to establish whether an element belongs to the whole, or if it does not belong to it.

]]> 2018-12-14 20:19:23 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314818136 Subsets matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314819280 Consider a set A. It is said that a set B is a subset of A if and only if any element of B is taken, it is also an element of A. In this case we write that B⊂A or also A⊃B , and read "A is a subset of B"]]> 2018-12-14 20:22:56 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314819280 Empty set matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314820638 The empty set is a set that has no elements. To indicate an empty set, use the symbol of a circle with an oblique bar ø or with two curly braces without any elements inside them {}.]]> 2018-12-14 20:26:59 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/314820638 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325049133 Tabular representation


The tabular representation is obtained by enumerating the objects within braces;
example:
I want to consider set A composed of the first four natural numbers
1 2 3 4
I can write
A = {1, 2, 3, 4}
It is a representation that is used if the set is composed of a fairly limited number of objects

]]> 2019-01-28 17:35:26 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325049133 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325052364 A Venn diagram (also called the Euler-Venn diagram) is a diagram showing all the possible logical relationships between a finite collection of different sets. These diagrams depict the elements as points in the plane, and the sets as regions enclosed by closed curves.

]]> 2019-01-28 17:41:14 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325052364 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325062679 2019-01-28 17:57:47 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325062679 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325063727 One speaks of a subset precisely if at least one element is not included in the whole, ie in the case of strict inclusion.

]]> 2019-01-28 17:59:25 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325063727 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325065452 Given two sets A and B, set A is an improper subset of B if all elements of set A also belong to B and all elements of B also belong to A.

]]> 2019-01-28 18:02:18 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325065452 matteopatierno2004 https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325067937 Definiamo prodotto cartesiano AxB di due insiemi A e B l'insieme di tutte le coppie ordinate che hanno come primo elemento un elemento di A e come secondo elemento un elemento di B
 Dati gli insiemi

 A = { 1, 2, 3, 4 }
B = { a, b, c }
Costruisco tutte le coppie considerando come primo elemento un elemento di A e come secondo elemento un elemento di 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) }
]]> 2019-01-28 18:07:04 UTC https://padlet.com/matteopatierno2004/1jq4p8yxoe8l/wish/325067937