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Recent questions in Mathematical Logic
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Propositional and first order logic.
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0
votes
1
answer
1
Rank of a matrix
Let A be a 4×3 real matrix with rank 2. Let B be transpose matrix of A. Which one of the following statement is TRUE? (a) Rank of BA is less than 2. (b) Rank of BA is equal to 2. (c) Rank of BA is greater than 2. (d) Rank of BA can be any number between 1 and 3.
asked
3 days
ago
in
Mathematical Logic
by
bts
(
107
points)

21
views
rankofmatrix
engineeringmathematics
matrix
0
votes
0
answers
2
UGCNETNov2017III70
Consider a Takagi  Sugeno  Kang (TSK) Model consisting of rules of the form : If x1 is Ai1 and ... and xr is Air THEN y =fi (x1, x2, ..., xr) = bi0+bi1 x1+.....+birxr assume, $\alpha$i is the matching degree of rule i, then the total output of the model is given by : (1) y ... 1}^{L}$ fi (x1,x2,....., xr)/$\sum_{i=1}^{L}\alpha$i (4) y = maxi [$\alpha$i fi (x1,x2,....., xr)]
asked
4 days
ago
in
Mathematical Logic
by
Roma_nagpal
(
115
points)

20
views
0
votes
0
answers
3
This question is from graph theory
What is the total number of vertices in a tree if there are 3n vertices of degree 2 and 2n vertices of degree n?
asked
5 days
ago
in
Mathematical Logic
by
Pratyush
(
7
points)

24
views
0
votes
2
answers
4
self doubt
What is the English of both statement ∀x((x!=0)→∃y(xy=100)) ∀x∃y((x!=0)→(xy=100))
asked
Jun 16
in
Mathematical Logic
by
Vegeta
(
21
points)

32
views
0
votes
1
answer
5
self doubt
dog(x) = x is a dog Int (x) = x is intelligent write in logic form No dogs are intelligent.
asked
Jun 14
in
Mathematical Logic
by
Vegeta
(
21
points)

31
views
propositionallogic
firstorderlogic
logicalreasoning
0
votes
2
answers
6
IIT M video questions
P(x,y,z), xy=z, Universe is interger; write in logic form If xy=x for all y, then x =0. Thank you
asked
Jun 14
in
Mathematical Logic
by
Vegeta
(
21
points)

51
views
propositionallogic
firstorderlogic
logicalreasoning
0
votes
0
answers
7
generating funtion
1/1−2x2 provide close formula for the sequences it determines
asked
Jun 14
in
Mathematical Logic
by
sunil sarode
Active
(
1.2k
points)

14
views
generatingfunctions
kennethrosen
discretemathematics
+3
votes
1
answer
8
find close form of generating function discrete mathematics kenneth rosen
asked
Jun 14
in
Mathematical Logic
by
sunil sarode
Active
(
1.2k
points)

56
views
kennethrosen
discretemathematics
counting
0
votes
0
answers
9
discrete maths
P: Good mobile phones are not cheap Q: Cheap mobile phones are not good L: P implies Q M: Q implies P N: P is equivalent to Q Which one of the following about L, M, and N is CORRECT? (A) Only L is TRUE. (B) Only M is TRUE. (C) Only N is TRUE. (D) L, M and N are TRUE
[closed]
asked
Jun 13
in
Mathematical Logic
by
Preety singhal
(
15
points)

18
views
0
votes
0
answers
10
LogicKenneth Rosen (Ex1.411f)
Let S(x) be the predicate that "x is a student", F(x) be the predicate "x is a faculty member", and A(x,y) the predicate "x has asked y a question", where the domain consists of all people associated with your school. ... A(x,y) ) ) Doubt 2: What is the difference between my answer and rosen's answer.Which one is correct. Please help.
[closed]
asked
Jun 12
in
Mathematical Logic
by
Ayush Upadhyaya
Loyal
(
9k
points)

36
views
discretemathematics
propositionallogic
0
votes
0
answers
11
ISI 2014 MMA 9
asked
Jun 12
in
Mathematical Logic
by
Sammohan Ganguly
(
417
points)

22
views
userisi2014
usermod
engineeringmathematics
0
votes
0
answers
12
ISI 2014 MMA  3
asked
Jun 12
in
Mathematical Logic
by
Sammohan Ganguly
(
417
points)

24
views
userisi2014
usermod
engineeringmathematics
+1
vote
1
answer
13
Propositional Equivalences
Which of the following are true : 1. $\forall x (P(x) \Leftrightarrow Q(x) ) \rightarrow (\forall x P(x) \Leftrightarrow \forall x Q(x))$ 2. $\forall x (P(x) \Leftrightarrow Q(x) ) \leftarrow (\forall x P(x) \Leftrightarrow \forall x Q(x))$ 3. $\ ... exists x Q(x))$ 6. $\exists x (P(x) \Leftrightarrow Q(x) ) \Leftrightarrow (\exists x P(x) \Leftrightarrow \exists x Q(x))$
asked
Jun 10
in
Mathematical Logic
by
lokeshsolanki17
(
123
points)

65
views
0
votes
0
answers
14
LogicKenneth Rosen(Ex1.45e)
Let W(x,y) mean that student x has visited website y, where the domain for x consists of all students in your school and domain for y consists of all websites. Express below statement in the english sentence. ∃x∃y∀z ( (x$\neq$y) ^ ( ... two persons who have visited exactly the same set of websites." And this means exactly two. Which one is correct interpretation?
asked
Jun 10
in
Mathematical Logic
by
Ayush Upadhyaya
Loyal
(
9k
points)

27
views
discretemathematics
kennethrosen
propositionallogic
0
votes
0
answers
15
LogicKenneth Rosen(Ex1.357)
Let P(x)x is a baby Q(x) x is logical R(x)x is able to manage a crocodile S(x)x is despised. Suppose that the domain consists of all people.Express each of the these statements using quantifiers (a)Babies are illogical (b)Nobody is despised who can manage a ... x)) (c)∀x($\sim Q(x)\rightarrow S(x)$ ) (d)∀x($P(x)\rightarrow \sim R(x)$) Please verify my answers.
[closed]
asked
Jun 10
in
Mathematical Logic
by
Ayush Upadhyaya
Loyal
(
9k
points)

26
views
discretemathematics
kennethrosen
propositionallogic
0
votes
0
answers
16
SelfDoubtLogic
What is the negation of ∃x(x2=2) I think it is ∀x(x2$\neq$2)
asked
Jun 9
in
Mathematical Logic
by
Ayush Upadhyaya
Loyal
(
9k
points)

43
views
discretemathematics
mathematicallogic
0
votes
1
answer
17
Distinguishable objects and indistinguishable boxes
asked
Jun 8
in
Mathematical Logic
by
Na462
Active
(
3.3k
points)

75
views
permutationsandcombinations
0
votes
2
answers
18
Sheldon ross Conditional probability
asked
Jun 6
in
Mathematical Logic
by
Prateek Raghuvanshi
Active
(
3.9k
points)

66
views
sheldonross
probability
+1
vote
1
answer
19
Kennth Rosen,ch:1,Ex:1.3,Qn:51
Find a compound proposition logically equivalent to $p \rightarrow q$ using only the logical operator $\downarrow$?
asked
Jun 5
in
Mathematical Logic
by
siva140191
(
63
points)

39
views
kennethrosen
settheory&algebra
propositionallogic
mathematicallogic
descriptive
+1
vote
1
answer
20
Kenneth Rosen Ch:1,Ex:1.5 Qn:52.
Express the quantification $∃!xP (x)$,using universal quantifications, existential quantifications, and logical operators.?
asked
Jun 4
in
Mathematical Logic
by
siva140191
(
63
points)

69
views
discretemathematics
engineeringmathematics
kennethrosen
settheory&algebra
propositionallogic
0
votes
0
answers
21
Sheldon ross(9th ed.)chapter 2 example 5(g)
asked
Jun 4
in
Mathematical Logic
by
Prateek Raghuvanshi
Active
(
3.9k
points)

23
views
0
votes
0
answers
22
Kennth Rosen Ch:1,Ex:1.2, Qn:38.
Solve this famous logic puzzle, attributed to Albert Einstein, and known as the zebra puzzle.Five men with different nationalities and with different jobs live in consecutive houses on a street. These houses are painted different colors. The men ... , their pets, and their favorite drinks and use logical reasoning to determine the correct entries in the table.]?
asked
Jun 3
in
Mathematical Logic
by
siva140191
(
63
points)

51
views
kennethrosen
mathematicallogic
settheory&algebra
propositionallogic
descriptive
0
votes
1
answer
23
Test series
How to do these type of questions?
asked
Jun 1
in
Mathematical Logic
by
saumya mishra
Junior
(
933
points)

49
views
0
votes
2
answers
24
Number of ordered pairs
asked
Jun 1
in
Mathematical Logic
by
saumya mishra
Junior
(
933
points)

49
views
0
votes
1
answer
25
Made easy test
asked
May 31
in
Mathematical Logic
by
saumya mishra
Junior
(
933
points)

54
views
0
votes
1
answer
26
Group Theory
Let G and G1 be two groups such that G1 is a homomorphic image of G. If G is a cyclic group then so is G1.
asked
May 31
in
Mathematical Logic
by
Sammohan Ganguly
(
417
points)

19
views
groups
0
votes
1
answer
27
Group theory
Let G and G1 be two groups such that G1 is a homomorphic image of G. Prove that if G is a commutative group,then so is G1.
asked
May 31
in
Mathematical Logic
by
Sammohan Ganguly
(
417
points)

16
views
groups
+1
vote
1
answer
28
Doubts
1. What is the Difference Between Range and Co domain of Function ? 2.If i say a function is one to one , onto , bijection what does it actually tell about the function is there any significance or they are just types of function ? 3. when i say $fog(x ... domain then what's the problem because we can never attain that image because there exist no pre image so how does it effect its range ?
asked
May 30
in
Mathematical Logic
by
Na462
Active
(
3.3k
points)

42
views
engineeringmathematics
discretemathematics
functions
sets
settheory&algebra
+1
vote
1
answer
29
Mathematical logic
Suppose the numbers $1$ to $20$ are placed in any order around a circle . Show that the sum of some three consecutive numbers must be atleast $32$.
asked
May 30
in
Mathematical Logic
by
Sammohan Ganguly
(
417
points)

34
views
engineeringmathematics
discretemathematics
mathematicallogic
0
votes
1
answer
30
Mathematical logic
Which of the following is(are) not logical implications? p<>q => p>q p^q => p<>q p<> => p>~q p<>~q => p>q
asked
May 30
in
Mathematical Logic
by
Mr khan 3
(
127
points)

33
views
engineeringmathematics
discretemathematics
mathematicallogic
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