From a1286822de3f375b804bf95588d6ef53c4c14e6c Mon Sep 17 00:00:00 2001 From: kieutrang1729 <67156758+kieutrang1729@users.noreply.github.com> Date: Sun, 11 Jul 2021 16:28:54 +0200 Subject: [set-theory/fr] Added French translation for Set theory (#4168) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit * Update set-theory.html.markdown Fixed a minor typo. * Add files via upload Added a french translation for set theory. * Add suggested changes J'ai fait presque tous les changements suggérés. * Fix spacing before semicolons --- set-theory.html.markdown | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'set-theory.html.markdown') diff --git a/set-theory.html.markdown b/set-theory.html.markdown index ae8b5388..c6e72960 100644 --- a/set-theory.html.markdown +++ b/set-theory.html.markdown @@ -87,7 +87,7 @@ D = { 2x : x ∈ N } = { 0, 2, 4, 6, 8, ... } ## Special Sets ### The Power Set -* Let `A` be any set. The set that contains all possible subsets of `A` is called a "power set" and is written as `P(A)`. If the set `A` contains `n` elements, then `P(A)` contains `2^N` elements. +* Let `A` be any set. The set that contains all possible subsets of `A` is called a "power set" and is written as `P(A)`. If the set `A` contains `n` elements, then `P(A)` contains `2^n` elements. ``` P(A) = { x : x ⊆ A } -- cgit v1.2.3 From eed9734dfc7fc4c9073a58d99e9e51686585c93e Mon Sep 17 00:00:00 2001 From: Nathan Date: Mon, 3 Jan 2022 10:53:13 -0500 Subject: fix typo (#4192) compliment -> complement --- set-theory.html.markdown | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'set-theory.html.markdown') diff --git a/set-theory.html.markdown b/set-theory.html.markdown index c6e72960..d55ab7d5 100644 --- a/set-theory.html.markdown +++ b/set-theory.html.markdown @@ -13,7 +13,7 @@ Set theory is a branch of mathematics that studies sets, their operations, and t * the union operator, `∪`, pronounced "cup", means "or"; * the intersection operator, `∩`, pronounced "cap", means "and"; * the exclusion operator, `\`, means "without"; -* the compliment operator, `'`, means "the inverse of"; +* the complement operator, `'`, means "the inverse of"; * the cross operator, `×`, means "the Cartesian product of". ### Qualifiers -- cgit v1.2.3 From 2b4c8854bfb1034983a228ba6ba098c0f5320d2e Mon Sep 17 00:00:00 2001 From: Stanislaw Baranski Date: Thu, 23 Feb 2023 19:27:00 +0100 Subject: Add the vertical bar qualifier explanation The vertical bar qualifier explanation is missing, but it's widely used interchangeably with the colon qualifier. Even it the text you use "|" so it should be explained as well. --- set-theory.html.markdown | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'set-theory.html.markdown') diff --git a/set-theory.html.markdown b/set-theory.html.markdown index d55ab7d5..f89345c0 100644 --- a/set-theory.html.markdown +++ b/set-theory.html.markdown @@ -17,7 +17,7 @@ Set theory is a branch of mathematics that studies sets, their operations, and t * the cross operator, `×`, means "the Cartesian product of". ### Qualifiers -* the colon qualifier, `:`, means "such that"; +* the colon, `:`, or the vertical bar `|` qualifiers are interchangeable and mean "such that"; * the membership qualifier, `∈`, means "belongs to"; * the subset qualifier, `⊆`, means "is a subset of"; * the proper subset qualifier, `⊂`, means "is a subset of but is not equal to". -- cgit v1.2.3 From c6d650df763f0cf5708c3a96891b97c4544f5cec Mon Sep 17 00:00:00 2001 From: Marcel Ribeiro-Dantas Date: Sun, 1 Oct 2023 17:52:27 -0300 Subject: [set-theory/en] add author, fix vowerls list Signed-off-by: Marcel Ribeiro-Dantas --- set-theory.html.markdown | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) (limited to 'set-theory.html.markdown') diff --git a/set-theory.html.markdown b/set-theory.html.markdown index f89345c0..144b4bbf 100644 --- a/set-theory.html.markdown +++ b/set-theory.html.markdown @@ -2,7 +2,9 @@ category: Algorithms & Data Structures name: Set theory contributors: + - ["Andrew Ryan Davis", "https://github.com/AndrewDavis1191"] --- + Set theory is a branch of mathematics that studies sets, their operations, and their properties. * A set is a collection of disjoint items. @@ -59,7 +61,7 @@ Long lists may be shortened with ellipses as long as the context is clear. For e Set builder notation is a more descriptive way of constructing a set. It relies on a _subject_ and a _predicate_ such that `S = { subject : predicate }`. For example, ``` -A = { x : x is a vowel } = { a, e, i, o, u, y} +A = { x : x is a vowel } = { a, e, i, o, u } B = { x : x ∈ N, x < 10 } = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } C = { x : x = 2k, k ∈ N } = { 0, 2, 4, 6, 8, ... } ``` -- cgit v1.2.3