Recent questions and answers in Mathematical Logic - GATE CSE Doubts

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First order logic
Is this first order logic Valid ? [ β→ ∃ₓ α(x) ]→ [ ∀ₓ(β→α(x)) ]

answered 2 days ago in Mathematical Logic by gatecse (173 points) | 24 views

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Recurrence Relation
In a second degree non homogenous recurrence Relation let it be (an) -4(an-1)+4(an-2)= 2 • b^n Let m1 and m2 are the roots of the characteristic equation that is m1 = m2 =2. What will be the particular solution ? 1. ( A n^2 b^n )where A is an arbitrary constant. 2. ( A b^n ) where A is an arbitrary constant 3. None of the above.

asked 4 days ago in Mathematical Logic by Sinchit (15 points) | 16 views

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Probability # Self doubt # GO test
How to solve this calculation step by step ? Ans is 99.56%.

asked Oct 22 in Mathematical Logic by Sharma9999999 (5 points) | 16 views

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#Ace2019TestSeries
Messagees are transmitted over a communication channel using two signals. the transmission of one signal requires 1 microsecond and the transmission of the other requires two microseconds. the recurrence relation for the numver of different massages consisting of sequences of these two signals ( where each signal is ... $a_{n} = 2a_{n-1} + a_{n-2}$ $a_{n} = a_{n-1} + a_{n-3}$

answered Oct 14 in Mathematical Logic by mayureshpatle (855 points) | 27 views

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Previous year gate question (2003)
Consider the following formula a and its two interpretations I1 and I2 Which of the following statements is true? A I1 satisfies α, I2 does not B I2 satisfies α, I1 does not C Neither I2 nor I1 satisfies α D Both I1 and I2 satisfy α An explanation would be helpful.

asked Oct 11 in Mathematical Logic by Rishav Chetan (5 points) | 11 views

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# Made Easy test

asked Oct 11 in Mathematical Logic by raviranjan21 (5 points) | 21 views

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Self Doubt - Previous Year Question.
Is the conversion from Ǝx [P(x) ˄ Q(x)] to Ǝx P(x) ˄ Ǝx Q(x) valid?

answered Oct 9 in Mathematical Logic by iarnav (231 points) | 20 views

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My College Notes
What are Relative Sets? Please explain with example

asked Oct 7 in Mathematical Logic by ivarnam (5 points) | 9 views

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Kenneth Rosen specific sections
Hi, I have been referring to Kenneth Rosen for Discrete Mathematics for GATE 2021 and since I have less time left, I would like to know which specific sections are to be read from the chapters in syllabus. I already know we have to go through ... or just some part of these chapters? If specific parts are to be completed can you please guide me with it? Thank you

asked Oct 3 in Mathematical Logic by motabhai (5 points) | 23 views

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Gatebook test series
Why option B is not correct here ? B’coz he can be a politician as he thinks about politics.

asked Sep 30 in Mathematical Logic by Raj_81 (5 points) | 37 views

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Combinatorics and Propositional logic
Which book should i refer for Combinatorics and Propositional logic?

asked Sep 22 in Mathematical Logic by kaleen bhaiya (9 points) | 16 views

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NPTEL DISCRETE STRUCTURE ASSIGNMENT QUESTION
Which of the following are logical consequences of { ($\alpha$ → $\beta$’), $\beta$, ($\gamma$ ’ → $\alpha$) } ($\alpha$ → $\beta$’) $\beta$’ $\gamma$ $\alpha$ Answer given is C but if this question asked as MSQ question then can A be the possible answer??

answered Sep 19 in Mathematical Logic by Ehraz Hasan (366 points) | 59 views

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Test series: GATE academy Logarithms question 2

answered Aug 23 in Mathematical Logic by g21 (1k points) | 32 views

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Test series: GATE academy Logarithms question 1
how to solve this? [closed]

answered Aug 23 in Mathematical Logic by g21 (1k points) | 80 views

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3 answers

Self Doubt in Propositional Logic
Translate this English proposition to Logical expression : “you will not get an A grade unless you work hard”

answered Aug 21 in Mathematical Logic by Ashutosh777 (67 points) | 30 views

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2a{n}=a{n-1}+2pow(n)..........a[0]=1then a[100]=?
2a{n}=a{n-1}+2pow(n)..........a[0]=1then a[100]=?

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 23 views

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Set Practice Question
9) Let A = { a,b,c } and a relation on set A is defined as S = { (a,b) (b,c) (a,c) (c,c) (a,a) (b,a)} which of the following is true ? a) R Is equivalence relation b) R is Irreflexive relation ( or ) Anti-symmetric c) R is Symmetric ( or ) ... but not (c,a). It's not asymmetric because it has a symmetric pair (a,b). False. (b,a), (a,b) present but not (b,b) Thank you.

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 37 views

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Calculus Estimating Errors
what is the solution ?

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 22 views

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Discrete mathematics
Prove that a tree with more than 1vertex has atleast 2leaves

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 16 views

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Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^10

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 27 views

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Group theory
How to tackle such proofs Prove that a group of order 9 is abelian.

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 27 views

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Let A=set of all +ve integers.Relation R is defined by aRb<->a-b is divisible by 4.The equivalence class of 3 is

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 20 views

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Gate material problem
In gate 2018,from first order logic.. Question was asked on model.. Which is not in kenneth h rosen. Please help with good materials for gate

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 35 views

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2 answers

Discrete mathematics complete

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 44 views

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2 answers

What is maximal independent set(MIS)?

answered Aug 16 in Mathematical Logic by Arkaprava (711 points) | 31 views

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Cse zeal modules
How many subsets A of {1,2 3,....,10} have the property that no two elements of A sum to 11

answered Aug 15 in Mathematical Logic by Arkaprava (711 points) | 30 views

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2 answers

Self doubts whether function f(x)=x^(2/3) is differentiable or not

answered Aug 15 in Mathematical Logic by jayeshasawa001 (2.5k points) | 49 views

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Combinatorics Simple doubt
What is the difference between flipping a pair of Distinct dices and flipping a pair of Identical Dices ??

answered Aug 15 in Mathematical Logic by Arkaprava (711 points) | 20 views

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Made Easy test series multiple subject discrete mathematics combinatorics

answered Aug 12 in Mathematical Logic by Arkaprava (711 points) | 37 views

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Kenneth-Rossen
Is grid and hypercube in syllabus?

answered Aug 12 in Mathematical Logic by Arkaprava (711 points) | 25 views

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self doubt -kenneth rosen
"In the statement ∃x(x + y = 1), the variable x is bound by the existential quantification ∃x, but the variable y is free because it is not bound by a quantifier and no value is assigned to this variable. This illustrates that in the statement ∃x(x ... y is free becoz it is not bound by a quantifier. thats it!!,Why is no value is assigned to this variable. written?

answered Aug 12 in Mathematical Logic by Arkaprava (711 points) | 26 views

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Grimaldi rules of inference
Question If the argument is valid than identify which inference rule is used and if invalid than the error. For part b,c,e

answered Aug 12 in Mathematical Logic by Arkaprava (711 points) | 29 views

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Universal and existential quantifier
Generally, universal quantifier i.e. ∀ is followed by an implication in a sentence and existential quantifier is followed by an AND operation in a sentence. Can anyone give an example of a sentence where universal quantifier is followed by AND operator and existential quantifier is followed by an implication ?

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 26 views

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STATISTICS - Probability
The Indian cricket team is visiting New Zealand to play a test series comprising five matches. In each match, assume that the Indian team has a 70% chance of winning. Further, assuming that the matches are independent of each other, what is the probability that: The Indian team will win the series? b. The team will win all five matches, and that the team will lose all?

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 33 views

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How many 4 digits even number have all digits distinct

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 27 views

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MADE EASY DMATHS 2020

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 20 views

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Self doubt descrete maths (relations)
Consider R is binary relation on A×B where cardinality of set A is 5 and that of B is 6 then total numbers of possible relation are? My answer is $2^{900}$

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 47 views

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Kenneth Rosen Exercise 2 -Q-15
Each inhabitant of a remote village always tells the truth or always lies. A villager will give only a Yes or a No response to a question a tourist asks. Suppose you are a tourist visiting this area and come to a fork in the road. One ... A villager is standing at the fork in the road. What one question can you ask the villager to determine which branch to take?

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 22 views

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This question is from gate cse zeal acadmey module

answered Aug 11 in Mathematical Logic by Arkaprava (711 points) | 24 views

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TIFR 2017 PHD CS & SS

asked Aug 8 in Mathematical Logic by harypotter0 (5 points) | 15 views

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