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Recent questions tagged set-theory
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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
by
Overflow04
96
views
self-doubt
set-theory
0
votes
0
answers
2
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
by
Overflow04
70
views
self-doubt
group-theory
set-theory
0
votes
1
answer
3
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 $B$. $A \cup B=X \cup Y$ ... $|X|=5$ $|Y|=5$ $|A \cup X|=|B \cup Y|$ $|A \cap X|=|B \cap Y|$ $|A|=|B|$
Lakshman Patel RJIT
asked
in
Set Theory & Algebra
Sep 1
by
Lakshman Patel RJIT
90
views
tifr2022
set-theory&algebra
set-theory
0
votes
0
answers
4
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
Lakshman Patel RJIT
asked
in
Set Theory & Algebra
Sep 1
by
Lakshman Patel RJIT
61
views
tifr2022
set-theory&algebra
set-theory
0
votes
1
answer
5
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
by
Overflow04
147
views
engineering-mathematics
ace-test-series
set-theory
0
votes
1
answer
6
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
by
Overflow04
107
views
engineering-mathematics
ace-test-series
set-theory
0
votes
0
answers
7
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 can ... 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 15
by
makhdoom ghaya
27
views
missing-videos
go-classroom
free-videos
video-links
set-theory
4
votes
1
answer
8
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 7
by
GO Classes
267
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
3
votes
2
answers
9
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 7
by
GO Classes
195
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
0
votes
1
answer
10
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
by
clendaya
126
views
set-theory
0
votes
0
answers
11
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
by
kidussss
96
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
12
Mathematics for Natural Science
Prove that $2n < (n + 1)!, $ for all $ n \geq 3.$
kidussss
asked
in
Combinatory
Jul 29
by
kidussss
71
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
13
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
by
kidussss
82
views
discrete-mathematics
mathematical-logic
calculus
set-theory
4
votes
1
answer
14
GO Classes 2023 | Weekly Quiz 7 | Question: 7
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 $\text{A, B}$ are proper subsets ... $\{\text{A} \cap \text{B},\text{A}' \cap \text{B}'\}$
GO Classes
asked
in
Set Theory & Algebra
Apr 14
by
GO Classes
320
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
3
votes
1
answer
15
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
by
GO Classes
173
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
relations
multiple-selects
2-marks
3
votes
1
answer
16
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
by
GO Classes
180
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
1-mark
2
votes
1
answer
17
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
by
GO Classes
191
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
2
votes
1
answer
18
GO Classes 2023 | Weekly Quiz 7 | Question: 12
Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of $\text{A} \times \text{B}.$ Relation $\text{R}$ is reflexive, symmetric, transitive and antisymmetric. How many equivalence classes does relation $\text{R}$ have?
GO Classes
asked
in
Set Theory & Algebra
Apr 14
by
GO Classes
288
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
equivalence-class
2-marks
0
votes
2
answers
19
sets - mathematics - made easy test series
A newspaper agent sells the TOI, the HT and the IN in equal numbers to 302 persons. 7 persons get the HT and the IN, 12 get the TOI and the IN, 9 get the TOI and the HT and 3 get all three newspapers. Then the number of persons who get only one paper is ____
atulcse
asked
in
Set Theory & Algebra
Jan 26
by
atulcse
591
views
set-theory
made-easy-test-series
0
votes
1
answer
20
Applied Test Series
Consider the following statements S1 and S2 : S1 : The minimal elements of a poset always form an antichain. S2 : The maximal elements of a poset always form an antichain Which of the following is correct? Can someone explain these two with examples? Thank you!
ramakrushna
asked
in
Set Theory & Algebra
Jan 7
by
ramakrushna
293
views
test-series
discrete-mathematics
set-theory
0
votes
1
answer
21
Nptel Assignment Question
Given p, we want to prove q. Which of the following will suffice: (a) ¬q =⇒ ¬p (b) p ∧ q =⇒ q (c) ¬p ∧ ¬q =⇒ p (d) ¬q =⇒ q (e) p ∧ ¬q ∧ r =⇒ ¬r (f) none of these
rsansiya111
asked
in
Set Theory & Algebra
Dec 3, 2021
by
rsansiya111
184
views
nptel-quiz
discrete-mathematics
set-theory
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Recent questions tagged set-theory
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