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Basic computer instructor
Which one is measure of software complexity? Ans:- number of lines of code (LOC) I want to proof this quest answer, please
LRU
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Sep 20
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LRU
24
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is&software-engineering
2
votes
1
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2
PhD Admissions Written Test (Basic)
Let A be an array containing n integers. It is required to find 3 indices i, j, k such that i < j < k and either A[i] ≤ A[j] ≤ A[k] or A[i] ≥ A[j] ≥ A[k], if such indices exist. The asymptotic time complexity of the fastest algorithm for this problem, assuming the array is already available, is Θ(_____________).
Joey
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Sep 20
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Joey
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data-structures
algorithms
1
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3
IITB Practice Set: 22
Suppose the stop and wait protocol is employed over an asymmetric link $A$ to $B$. The $A$ to $B$ link bandwidth is $8\text{ Mbps}$ with a propagation delay of $20\;ms$, however the $B$ to $A$ link bandwidth is $800\;\text{Kbps}$ ... other delays. Express answer in kbps. ($1\text{ Mbps} = 10^6 \text {bps and } 1\text{ Kbps} = 10^3 \text{bps})$
Debanjan_2000
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Sep 16
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Debanjan_2000
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iitb-practice-set
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4
How to prepare for GATE 2023 CSE along with a job and only self-study?
I am a past student of Made Easy and got AIR 7500 in GATE 2022. I would like to get suggestions.
sanju s
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Sep 16
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sanju s
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career-advice
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5
UGC NET CSE | December 2005 | Part 2 | Question: 37
If you want to execute more than one program at a time, the systems software that are used must be capable of : word processing virtual memory compiling multitasking
amder111
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Sep 14
by
amder111
116
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ugcnetcse-dec2005-paper2
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6
Go Class Test Series + GO Test series
sir i am subscribed the go test series + go classes test series both but July 19, Aug 22, Aug 25 tests are not unlocked why ? and sir after Aug 29 tests are not unlocked why ? please reply fast, I pay full amount bu the tests are not unlocked
ashishk205
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Sep 12
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ashishk205
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goclasses-test-series
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PhD Admissions Written Test (Basic)
Let A be a sorted array of distinct integers of length n. Design an algorithm to find an index i such that A[i] = i if such an index exists. If there are more than one such indices, you may output any one ... −1. The asymptotic time complexity of the fastest algorithm for this problem, assuming the array is already available, is Θ ______________________________
rsansiya111
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Sep 10
by
rsansiya111
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sorting
array
time-complexity
asymptotic-notations
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8
PhD Admissions Written Test (Basic)
Consider all permutations of the 16 numbers from 1 to 16 which satisfy the property that every number is placed such that it is either bigger than ALL numbers preceding it or it is smaller than ALL numbers preceding it. The number of such permutations is ________________________
rsansiya111
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Sep 10
by
rsansiya111
40
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written-test
admissions
combinatory
0
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1
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9
TIFR Mathematics 2022 | Part B | Question: 19
Answer whether the following statements are True or False. There are $N$ balls in a box, out of which $n$ are blue $(1 < n < N)$ and the rest are red. Balls are drawn from the box one by one at random, and discarded. Then the ... in the first $n$ drawn is the same as the probability of picking all the red balls in the first $(N - n)$ draws.
afroze
answered
in
Others
Sep 10
by
afroze
37
views
tifrmaths2022
true-false
0
votes
1
answer
10
ISI2020-PCB-CS: 3
You are given two sorted arrays $X[\;]$ and $Y[\;]$ of positive integers. The array sizes are not given. Accessing any index beyond the last element of the arrays returns $-1$. The elements in each array are distinct but the two arrays may have common ... marks will be awarded if the time complexity of your algorithm is linear (or higher) in the maximum size of $X$ and $Y.$
shishir__roy
answered
in
Others
Sep 10
by
shishir__roy
36
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isi2020-pcb-cs
descriptive
0
votes
0
answers
11
TIFR Mathematics 2022 | Part B | Question: 1
Answer whether the following statements are True or False. $\mathbb{R}^{2} \backslash \mathbb{Q}^{2}$ is connected but not path-connected.
admin
asked
in
Others
Sep 9
by
admin
45
views
tifrmaths2022
true-false
0
votes
0
answers
12
TIFR Mathematics 2022 | Part B | Question: 2
Answer whether the following statements are True or False. If $X$ is a connected metric space, and $F$ is a subring of $C(X, \mathbb{R})$ that is a field, then every element of $C(X, \mathbb{R})$ that belongs to $F$ is a constant function.
admin
asked
in
Others
Sep 9
by
admin
34
views
tifrmaths2022
true-false
0
votes
0
answers
13
TIFR Mathematics 2022 | Part B | Question: 3
Answer whether the following statements are True or False. Let $K \subseteq[0,1]$ be the Cantor set. Then there exists no injective ring homomorphism $C([0,1], \mathbb{R}) \rightarrow C(K, \mathbb{R})$.
admin
asked
in
Others
Sep 9
by
admin
20
views
tifrmaths2022
true-false
0
votes
0
answers
14
TIFR Mathematics 2022 | Part B | Question: 4
Answer whether the following statements are True or False. There exists a metric space $(X, d)$ such that the group of isometries of $X$ is isomorphic to $\mathbb{Z}$.
admin
asked
in
Others
Sep 9
by
admin
15
views
tifrmaths2022
true-false
0
votes
0
answers
15
TIFR Mathematics 2022 | Part B | Question: 5
Answer whether the following statements are True or False. Let $A \subset \mathbb{R}^{2}$ be a nonempty subset such that any continuous function $f: A \rightarrow \mathbb{R}$ is constant. Then $A$ is a singleton set.
admin
asked
in
Others
Sep 9
by
admin
12
views
tifrmaths2022
true-false
0
votes
0
answers
16
TIFR Mathematics 2022 | Part B | Question: 6
Answer whether the following statements are True or False. For a nilpotent matrix $A \in \mathrm{M}_{n}(\mathbb{R})$, let \[ \exp (A):=\sum_{n=0}^{\infty} \frac{A^{n}}{n !}=\mathrm{Id}+\frac{A}{1 !}+\frac{A^{2}}{2 !}+\cdots \in \mathrm{M}_{n}(\mathbb{R}) \] If $A$ is a nilpotent matrix such that $\exp (A)=\mathrm{Id}$, then $A$ is the zero matrix.
admin
asked
in
Others
Sep 9
by
admin
17
views
tifrmaths2022
true-false
0
votes
0
answers
17
TIFR Mathematics 2022 | Part B | Question: 7
Answer whether the following statements are True or False. There exists $A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right) \in \mathrm{M}_{2}(\mathbb{R})$, with $A^{2}=A \neq 0$, such that $|a|+|b|<1 \quad \text{and} \quad|c|+|d|<1.$
admin
asked
in
Others
Sep 9
by
admin
21
views
tifrmaths2022
true-false
0
votes
0
answers
18
TIFR Mathematics 2022 | Part B | Question: 8
Answer whether the following statements are True or False. If $A \in \mathrm{M}_{3}(\mathbb{C})$ is such that $A^{i}$ has trace zero for all positive integers $i$, then $A$ is nilpotent.
admin
asked
in
Others
Sep 9
by
admin
17
views
tifrmaths2022
true-false
0
votes
0
answers
19
TIFR Mathematics 2022 | Part B | Question: 9
Answer whether the following statements are True or False. For any finite cyclic group $G$, there exists a prime power $q$ such that $G$ is a subgroup of $\mathbb{F}_{q}^{\times}.$
admin
asked
in
Others
Sep 9
by
admin
12
views
tifrmaths2022
true-false
0
votes
0
answers
20
TIFR Mathematics 2022 | Part B | Question: 10
Answer whether the following statements are True or False. There are only finitely many isomorphism classes of finite nonabelian groups, all of whose proper subgroups are abelian.
admin
asked
in
Others
Sep 9
by
admin
17
views
tifrmaths2022
true-false
0
votes
0
answers
21
TIFR Mathematics 2022 | Part B | Question: 11
Answer whether the following statements are True or False. Every subring of a unique factorization domain is a unique factorization domain.
admin
asked
in
Others
Sep 9
by
admin
13
views
tifrmaths2022
true-false
0
votes
0
answers
22
TIFR Mathematics 2022 | Part B | Question: 12
Answer whether the following statements are True or False. Let $f_{1}, f_{2}, f_{3}, f_{4} \in \mathbb{R}[x]$ be monic polynomials each of degree exactly two. Then there exist a real polynomial $p \in \mathbb{R}[x]$ and a subset $\{i, j\} \subset\{1,2,3,4\}$ with $i \neq j$, such that $f_{i} \circ p=c f_{j}$ for some $c \in \mathbb{R}$.
admin
asked
in
Others
Sep 9
by
admin
16
views
tifrmaths2022
true-false
0
votes
0
answers
23
TIFR Mathematics 2022 | Part B | Question: 13
Answer whether the following statements are True or False. There exists a finite abelian group $G$ such that the group Aut$(G)$ of automorphisms of $G$ is isomorphic to $\mathbb{Z} / 7 \mathbb{Z}$.
admin
asked
in
Others
Sep 9
by
admin
9
views
tifrmaths2022
true-false
0
votes
0
answers
24
TIFR Mathematics 2022 | Part B | Question: 14
Answer whether the following statements are True or False. There exists an integral domain $R$ and a surjective homomorphism $R \rightarrow R$ of rings that is not injective.
admin
asked
in
Others
Sep 9
by
admin
10
views
tifrmaths2022
true-false
0
votes
0
answers
25
TIFR Mathematics 2022 | Part B | Question: 15
Answer whether the following statements are True or False. There exists $f \in C([0,1], \mathbb{R})$ satisfying the following two conditions: $\int_{0}^{1} f(x) d x=1$; and $\lim _{n \rightarrow \infty} \int_{0}^{1} f(x)^{n} d x=0$.
admin
asked
in
Others
Sep 9
by
admin
14
views
tifrmaths2022
true-false
0
votes
0
answers
26
TIFR Mathematics 2022 | Part B | Question: 16
Answer whether the following statements are True or False. Let $a_{n} \geq 0$ for each positive integer $n$. If the series $\sum_{n=1}^{\infty} \sqrt{a_{n}}$ converges, then so does the series $\sum_{n=1}^{\infty} \frac{a_{n}}{n^{1 / 4}}$.
admin
asked
in
Others
Sep 9
by
admin
13
views
tifrmaths2022
true-false
0
votes
0
answers
27
TIFR Mathematics 2022 | Part B | Question: 17
Answer whether the following statements are True or False. There exists a differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$ such that \[ \lim _{x \rightarrow \infty} f(x)=2 \quad \text { and } \quad \lim _{x \rightarrow \infty} f^{\prime}(x)=1 .\]
admin
asked
in
Others
Sep 9
by
admin
10
views
tifrmaths2022
true-false
0
votes
0
answers
28
TIFR Mathematics 2022 | Part B | Question: 18
Answer whether the following statements are True or False. Let $f:[0,1] \rightarrow[0, \infty)$ be continuous on $[0,1]$ and twice differentiable in $(0,1)$. If $f^{\prime \prime}(x)=7 f(x)$ for all $x \in(0,1)$, then $f(x) \leq \max \{f(0), f(1)\}$ for all $x \in[0,1]$.
admin
asked
in
Others
Sep 9
by
admin
13
views
tifrmaths2022
true-false
0
votes
0
answers
29
TIFR Mathematics 2022 | Part B | Question: 20
Answer whether the following statements are True or False. The set $\{f(x) \in \mathbb{R}[x] \mid f(n) \in \mathbb{Z}$ for all $n \in \mathbb{Z}\}$ is uncountable.
admin
asked
in
Others
Sep 9
by
admin
16
views
tifrmaths2022
true-false
0
votes
0
answers
30
TIFR Mathematics 2022 | Part A | Question: 1
Consider the following properties of a metric space $(X, d)$ : $(X, d)$ is complete as a metric space. For any sequence $\left\{Z_{n}\right\}_{n \in \mathbb{N}}$ of closed nonempty subsets of $X$, such that $Z_{1} \supseteq Z_{2} \supseteq$ ... (I). (I) does not imply (II) but (II) implies (I). (I) does not imply (II) and (II) does not imply (I).
admin
asked
in
Others
Sep 9
by
admin
10
views
tifrmaths2022
0
votes
0
answers
31
TIFR Mathematics 2022 | Part A | Question: 2
Consider the following assertions: $\left\{(x, y) \in \mathbb{R}^{2} \mid x y=1\right\}$ is connected. $\left\{(x, y) \in \mathbb{C}^{2} \mid x y=1\right\}$ is connected. Which of the following sentences is true? Both (I) and (II) are true. (I) is true but (II) is false. (I) is false but (II) is true. Both (I) and (II) are false.
admin
asked
in
Others
Sep 9
by
admin
8
views
tifrmaths2022
0
votes
0
answers
32
TIFR Mathematics 2022 | Part A | Question: 3
What is the number of solutions of: \[ x=\frac{x^{2}}{50}-\cos \frac{x}{2}+2 \] in $[0,10]$ ? $0$ $1$ $2$ $\infty$
admin
asked
in
Others
Sep 9
by
admin
11
views
tifrmaths2022
0
votes
0
answers
33
TIFR Mathematics 2022 | Part A | Question: 4
Let $A$ be an element of $\mathrm{M}_{4}(\mathbb{R})$ with characteristic polynomial $t^{4}-t$. What is the characteristic polynomial of $A^{2}$ ? $t^{4}-t$ $t^{4}-2 t^{3}+t^{2}$ $t^{4}-t^{2}$ None of the other three options
admin
asked
in
Others
Sep 9
by
admin
14
views
tifrmaths2022
0
votes
0
answers
34
TIFR Mathematics 2022 | Part A | Question: 5
Let $n$ be a positive integer, and let $V=\{f \in \mathbb{R}[x] \mid \operatorname{deg} f \leq n\}$ be the real vector space of real polynomials of degree at most $n$. Let $\operatorname{End}_{\mathbb{R}}(V)$ denote the real vector space of linear ... $1$ $n$ $n+1$ $n^{2}$
admin
asked
in
Others
Sep 9
by
admin
8
views
tifrmaths2022
1
vote
1
answer
35
TIFR CSE 2022 | Part B | Question: 7
Consider the following grammar: $\text{P, Q, R}$ are non-terminals; $c, d$ are terminals; $\text{P}$ is the start symbol; and the production rules follow. $\mathrm{P}::=\mathrm{QR}$ $\text{Q ::= c}$ $\text{Q} ::=\text{RcR}$ ... has three consecutive $c\text{'s}$ Every string produced by the grammar has at least has many $d\text{'s}$ as $c\text{'s}$
afroze
answered
in
Others
Sep 9
by
afroze
42
views
tifr2022
0
votes
2
answers
36
TIFR CSE 2022 | Part A | Question: 2
We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that share the same birthday is at least $1.$ What should $n$ be? (Ignore leap years, so ... birthdays fall with equal probability on each of the $365$ days of the year.) $23$ $28$ $92$ $183$ $366$
shishir__roy
answered
in
Others
Sep 9
by
shishir__roy
49
views
tifr2022
0
votes
1
answer
37
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 $B$. $A \cup B=X \cup Y$ ... $|X|=5$ $|Y|=5$ $|A \cup X|=|B \cup Y|$ $|A \cap X|=|B \cap Y|$ $|A|=|B|$
shishir__roy
answered
in
Others
Sep 9
by
shishir__roy
36
views
tifr2022
13
votes
1
answer
38
TIFR CSE 2022 | Part A | Question: 8
Let $A$ be the $(n+1) \times(n+1)$ matrix given below, where $n \geq 1$. For $i \leq n$, the $i$-th row of $A$ has every entry equal to $2i-1$ and the last row, i.e., the $(n+1)$-th row of $A$ has every entry equal to $-n^2$ ... $A$ has rank $n$ $A^2$ has rank $1$ All the eigenvalues of $A$ are distinct All the eigenvalues of $A$ are $0$ None of the above
shishir__roy
answered
in
Others
Sep 9
by
shishir__roy
150
views
tifr2022
0
votes
1
answer
39
TIFR CSE 2022 | Part A | Question: 15
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of the particle is $\pi$ i.e., the probability that particle is in location $i$ is given by $\pi(i)$. In the ... $\pi(1)=1$ and $\pi(i)=0$ for $i \neq 1$ $\pi(n)=1$ and $\pi(i)=0$ for $i \neq n$
shishir__roy
answered
in
Others
Sep 9
by
shishir__roy
47
views
tifr2022
1
vote
1
answer
40
UGC NET CSE | January 2017 | Part 3 | Question: 73
Which of the following neural networks uses supervised learning? Multilayer perception Self organizing feature map Hopfield network (A) only (B) only (A) and (B) only (A) and (C) only
rsansiya111
answered
in
Others
Sep 9
by
rsansiya111
197
views
ugcnetcse-jan2017-paper3
non-gate
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