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Recent questions tagged set-theory
0
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61
set, relation
Consider the partition of a set having 3 block of 5 elements each, 4 block of 2 elements each and 2 block of 3 elements in each block. Find the cardinality of equivalence relation.
someshawasthi
asked
in
Set Theory & Algebra
Jan 17, 2023
by
someshawasthi
460
views
discrete-mathematics
set-theory
0
votes
1
answer
62
Set Theory, Basic | Power of a set
Given set A= {a,b}$^3$ What do the formed set look like and what is |A| (cardinility of A)
Souvik33
asked
in
Set Theory & Algebra
Jan 5, 2023
by
Souvik33
399
views
discrete-mathematics
set-theory
self-doubt
0
votes
2
answers
63
Set Theory
We have a set of cardinality 7. Suppose P is the power set of S. We have a subset of Power set, Ps such that every pair of elements (a, b) in subset is such that, either a is a subset of b or b is a subset of a. What could be the max cardinality of Ps?
shub2204
asked
in
Set Theory & Algebra
Dec 14, 2022
by
shub2204
399
views
set-theory
set-theory
1
vote
1
answer
64
Set theory
Let A = set of all real numbers. '*' be a binary operation a*b = a + b + a. b (A, *) is a group or not. Doubt : Till finding identity element (=0) every thing is okay. While finding inverse: a * $a^{-1}$ = e a + $a^{-1}$ + a$a^{-1}$ = 0 a + $a^{-1}$ + 1 = 0 Or a + $a^{-1}$(1+a) = 0 Both will lead to different answer. What is correct.
Overflow04
asked
in
Set Theory & Algebra
Oct 25, 2022
by
Overflow04
405
views
self-doubt
set-theory
1
vote
0
answers
65
Set Theory
If A = {1, 3,5,7,.......} Then (A, +) is semi group or not. Doubt : a +(b+c) =( a + b) +c So associativity property is present But a + b doesn't belong to A So closure property is not present. So A is semi group or not.
Overflow04
asked
in
Set Theory & Algebra
Oct 25, 2022
by
Overflow04
372
views
self-doubt
group-theory
set-theory
0
votes
1
answer
66
TIFR CSE 2022 | Part A | Question: 9
You are given the following properties of sets $A, B, X$, and $Y$. For notation, $|A|$ denotes the cardinality of set $A$ (i.e., the number of elements in $A$ ), and $A \backslash B$ denotes the set of elements that are in $A$ but not in $B$. $A \cup B=X \cup Y$ ... $|X|=5$ $|Y|=5$ $|A \cup X|=|B \cup Y|$ $|A \cap X|=|B \cap Y|$ $|A|=|B|$
admin
asked
in
Set Theory & Algebra
Sep 1, 2022
by
admin
390
views
tifr2022
set-theory&algebra
set-theory
0
votes
0
answers
67
TIFR CSE 2022 | Part A | Question: 11
Let $X$ be a finite set. A family $\mathcal{F}$ of subsets of $X$ is said to be upward closed if the following holds for all sets $A, B \subseteq X$ ... $\mathcal{F} \sqcup \mathcal{G}=\mathcal{G} \backslash \mathcal{F}$ None of the above
admin
asked
in
Set Theory & Algebra
Sep 1, 2022
by
admin
308
views
tifr2022
set-theory&algebra
set-theory
1
vote
1
answer
68
Engineering Mathematics
Does the given solution is correct: When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the solution.
Overflow04
asked
in
Set Theory & Algebra
Aug 23, 2022
by
Overflow04
566
views
engineering-mathematics
ace-test-series
set-theory
2
votes
1
answer
69
Engineering Mathematics
why 4^10 is done. solution: Please explain the last portion why 4^ 10 is done.
Overflow04
asked
in
Set Theory & Algebra
Aug 22, 2022
by
Overflow04
535
views
engineering-mathematics
ace-test-series
set-theory
0
votes
0
answers
70
Best Open Video Playlist for Sets Topic | Discrete Mathematics
Please list out the best free available video playlist for Sets Topic from Discrete Mathematics as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... standard ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 14, 2022
by
makhdoom ghaya
311
views
missing-videos
go-classroom
free-videos
video-links
set-theory
4
votes
1
answer
71
GO Classes Scholarship 2023 | Test | Question: 3
Let $\text{A, B}$ be two disjoint non-empty sets. Let $\text{M}$ be the universal set and $\text{A} \cup \text{B}$ is a proper subset of $\mathrm{M}$. For any set $\mathrm{S}$, let $\mathrm{S}^{\prime}$ be the set of those elements ...
GO Classes
asked
in
Set Theory & Algebra
Aug 6, 2022
by
GO Classes
518
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
6
votes
2
answers
72
GO Classes Scholarship 2023 | Test | Question: 11
Let $\text{U}$ be a set and $\text{X, Y} \subseteq \text{U}$. Define operation twist by $ \operatorname{twist}\text{(X, Y)} =(\text{X} \cap \text{Y}) \cup(\overline{\text{X}} \cap \overline{\text{Y}}). $ Which of the following ... $\operatorname{twist}\text{(X, Y)}=\operatorname{twist}(\overline{\text{X}}, \overline{\text{Y}})$
GO Classes
asked
in
Set Theory & Algebra
Aug 6, 2022
by
GO Classes
427
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
0
votes
1
answer
73
Self doubt : Set Theory
At a family group meeting of 30 women, 17 are descended from George, 16 are descended from John, and 5 are not descended from George or John. How many of the 30 women are descended from both George and John?
clendaya
asked
in
Set Theory & Algebra
Aug 4, 2022
by
clendaya
312
views
set-theory
0
votes
0
answers
74
Mathematics for Natural Science
Let y in the form of $a + bi$, where $a$ and $b$ are real numbers, be the cubic roots of complex number $z^{20},$ where $z=\frac{2}{4 + 3i}.$ Find $a + b.$
kidussss
asked
in
Combinatory
Jul 29, 2022
by
kidussss
319
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
75
Mathematics for Natural Science
Prove that $2n < (n + 1)!, $ for all $ n \geq 3.$
kidussss
asked
in
Combinatory
Jul 29, 2022
by
kidussss
242
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
76
Mathematics for Natural Science
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$
kidussss
asked
in
Combinatory
Jul 29, 2022
by
kidussss
241
views
discrete-mathematics
mathematical-logic
calculus
set-theory
3
votes
1
answer
77
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 9
We define a relation $\text{S}$ on a non-empty Set $\text{A}.$ The definition of relation $\text{S}$ ... $\text{A}$ on which such relation $\text{S}$ can be defined.
GO Classes
asked
in
Set Theory & Algebra
Apr 21, 2022
by
GO Classes
578
views
goclasses2024-dm-2-weekly-quiz
goclasses
set-theory&algebra
set-theory
relations
multiple-selects
2-marks
4
votes
0
answers
78
GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 11
Let $\text{A, B}$ be two non-empty sets such that $\text{P(A)} \subset \text{P(B)},$ where $\text{P(S)}$ denotes Power set of set $\text{S}$, and $\subset$ denotes proper subset . Let $\text{M}$ be the universal set and ... $\{\text{A} \cap \text{B},\text{A}' \cap \text{B}'\}$
GO Classes
asked
in
Set Theory & Algebra
Apr 21, 2022
by
GO Classes
346
views
goclasses2024-dm-2-weekly-quiz
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
3
votes
1
answer
79
GO Classes 2023 | Weekly Quiz 7 | Question: 9
Let $\text{S}$ be a non-empty set. $\text{P(s)}$ is the power set of $\text{S}.$ Let $\text{A}$ be a non-empty subset of $\text{P(s)}.$ We define is subset of relation $\text{R}$ on $\text{A}.$ So, $x\text{R}y$ iff ... be symmetric, for some choice of $\text{A}.$ It is possible for $\text{R}$ to be Not anti-symmetric, for some choice of $\text{A}.$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
339
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
relations
multiple-selects
2-marks
3
votes
1
answer
80
GO Classes 2023 | Weekly Quiz 7 | Question: 10
Consider a set $\text{A} = \{ a,b,c,d,e,f,g \}.$ Consider the following partition $\text{P}$ of set $\text{A}:$ $\text{P} : \{ \{a,b\} , \{c\}, \{d\}, \{e,f,g\} \}$ ... that the set of equivalence classes of $\text{R}$ is exactly the same as partition $\text{P}.$ What is the cardinality of relation $\text{R}?$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
345
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
1-mark
2
votes
1
answer
81
GO Classes 2023 | Weekly Quiz 7 | Question: 11
Let $\text{A}$ be a non-empty set. Let $\text{P(A)}$ denote the power set of $\text{A}.$ Which of the following is/are necessarily true ? If $x \in \text{A}$ then $x$ cannot be an element of $\text{P(A)}.$ If every element of $\text{P(A)}$ ... $\text{B},$ then $\text{A} \subseteq \text{B}.$ $\text{A} \subseteq \text{P(A)}$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
394
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
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