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Recent activity by makhdoom ghaya
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1
ISI 2020 | PCB Mathematics | Question: 10
Prove that if $T_{1}, T_{2}, \ldots, T_{k}$ are pairwise-intersecting subtrees of a tree $T$, then $T$ has a vertex that belongs to all of $T_{1}, T_{2}, \ldots, T_{k}$.
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16 hours
ago
7
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isi2020-pcb-mathematics
0
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2
ISI 2020 | PCB Mathematics | Question: 9
Let $X_{i} \sim\left(i . i . d\right.$.) Bernoulli $\left(\frac{\lambda}{n}\right), n \geq \lambda \geq 0$. $Y_{i} \sim\left(\right.$ i. i. d.) Poisson $\left(\frac{\lambda}{n}\right),\left\{X_{i}\right\}$ and $\left\{Y_{i}\right\}$ ... $\frac{T_{n}}{S_{n}}$ as $n \rightarrow \infty$.
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Others
16 hours
ago
6
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isi2020-pcb-mathematics
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3
ISI 2020 | PCB Mathematics | Question: 8
Prove that the function defined by $ f(x)=\sum_{n=0}^{\infty}\left(\frac{x^{n}}{n !}\right)^{2} $ is continuous on $\mathbb{R}$, for any real number $x$.
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16 hours
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6
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isi2020-pcb-mathematics
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4
ISI 2020 | PCB Mathematics | Question: 7
Let $A=\{1,2,3, \cdots, 50\}$. In how many ways can three distinct numbers $x<y<z$ be chosen from $A$ such that the product $x y z$ is divisible by 125 ?
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16 hours
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6
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isi2020-pcb-mathematics
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5
ISI 2020 | PCB Mathematics | Question: 6
Find all possible integers $n$ for which $n^{2}+20 n+15$ is a perfect square.
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16 hours
ago
21
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isi2020-pcb-mathematics
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6
ISI 2020 | PCB Mathematics | Question: 5
Prove that if $N$ and $K$ are normal subgroups of a group $G$ such that $N \cap K=\left\{e_{G}\right\}$, then $x y=y x, \forall x \in N, \forall y \in K$. Deduce that if $N, H, K$ are normal subgroups of a group $G$ such that $ N \bigcap H=N \bigcap K=H \bigcap K=\left\{e_{G}\right\} $ and $G=H K$, then $N$ is an Abelian group.
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16 hours
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6
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isi2020-pcb-mathematics
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7
ISI 2020 | PCB Mathematics | Question: 4
Let $c$ be a positive real number for which the equation $ x^{4}-x^{3}+x^{2}-(c+1) x-\left(c^{2}+c\right)=0 $ has a real root $\alpha$. Prove that $c=\alpha^{2}-\alpha$.
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16 hours
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5
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isi2020-pcb-mathematics
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8
ISI 2020 | PCB Mathematics | Question: 3
Suppose $A$ is an $(n \times n)$ matrix over $\mathbb{R}$ such that $A^{p}=0$ for some positive integer $p$. Prove that $I+A$ is an invertible matrix, where $I$ is the $(n \times n)$ identity matrix. Find the characteristic polynomial of $A$.
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16 hours
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isi2020-pcb-mathematics
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9
ISI 2020 | PCB Mathematics | Question: 2
Show that the sequence $\left\{x_{n}\right\}, n>0$, defined by $ x_{n}=\int_{1}^{n} \frac{\cos (t)}{t^{2}} d t $ is convergent.
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16 hours
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isi2020-pcb-mathematics
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10
ISI 2020 | PCB Mathematics | Question: 1
Let $\epsilon>0$. Prove that there exists $n_{0} \in \mathbb{N}$ such that $ n \geq n_{0} \Rightarrow 2-\epsilon<\frac{2 n+1}{n+2}<2+\epsilon $
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16 hours
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6
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isi2020-pcb-mathematics
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11
Best Open Video Playlist for Data Flow Analysis: Common Subexpression Elimination Topic | Compiler Design
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in
Study Resources
16 hours
ago
6
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go-classroom
missing-videos
free-videos
video-links
0
answers
12
Best Open Video Playlist for Data Flow Analyses: Liveness Analysis Topic | Compiler Design
Please list out the best free available video playlist for Data Flow Analyses: Liveness Analysis from Compiler Design as an answer here (only one playlist per answer). We'll then select the best playlist and add ... are more likely to be selected as best. For the full list of selected videos please see here
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in
Study Resources
17 hours
ago
5
views
go-classroom
free-videos
missing-videos
0
answers
13
Best Open Video Playlist for Local Optimisation Topic | Compiler Design
Please list out the best free available video playlist for Local Optimisation from Compiler design as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... ones are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
17 hours
ago
5
views
go-classroom
missing-videos
free-videos
video-links
0
answers
14
Best Open Video Playlist for Data Flow Analyses: Constant Propagation Topic | Algorithm
Please list out the best free available video playlist for Data Flow Analyses: Constant Propagation from Compiler Design as an answer here (only one playlist per answer). We'll then select the best playlist and add ... are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
17 hours
ago
5
views
go-classroom
missing-videos
free-videos
video-links
0
answers
15
Best Open Video Playlist for Intermediate Code Generation Topic | Compiler Design
Please list out the best free available video playlist for Intermediate Code Generation from Compiler Design as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO ... ones are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
21 hours
ago
9
views
go-classroom
missing-videos
free-videos
video-links
intermediate-code
0
answers
16
Best Open Video Playlist for Runtime Environments Topic | Compiler Design
Please list out the best free available video playlist for Runtime Environments from Compiler design as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. ... ones are more likely to be selected as best. For the full list of selected videos please see here
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in
Study Resources
21 hours
ago
6
views
go-classroom
video-links
missing-videos
free-videos
runtime-environment
0
answers
17
Best Open Video Playlist for Syntax-Directed Translation Topic | Compiler Design
Please list out the best free available video playlist for Syntax-Directed Translation from Compiler Design as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom ... ones are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
21 hours
ago
4
views
go-classroom
free-videos
video-links
missing-videos
syntax-directed-translation
0
answers
18
Best Open Video Playlist for Parsing Topic | Compiler Design
Please list out the best free available video playlist for Parsing Topic from Compiler Design 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 ... but standard ones are more likely to be selected as best. For the full list of selected videos please see here
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in
Study Resources
21 hours
ago
3
views
go-classroom
missing-videos
free-videos
video-links
parsing
0
answers
19
Best Open Video Playlist for Lexical Analysis Topic | Compiler Design
Please list out the best free available video playlist for Lexical Analysis Topic from Compiler Design as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video ... standard ones are more likely to be selected as best. For the full list of selected videos please see here
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in
Others
21 hours
ago
4
views
go-classroom
missing-videos
free-videos
video-links
lexical-analysis
0
answers
20
Best Open Video Playlist for Regular and Context-free Languages Topic | Theory of compuation
Please list out the best free available video playlist for Regular and Context-free Languages Topic from Theory of compuation as an answer here (only one playlist per answer). We'll then select the best ... are more likely to be selected as best. For the full list of selected videos please see here
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Others
22 hours
ago
5
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missing-videos
free-videos
video-links
go-classroom
regular-language
context-free-language
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21
unacademy test series
A shopkeeper claims to sell rice at cost price. He uses a false weight with the intention of selling rice at 20% profit. After selling rice to the customer, he realises that the customer has paid 15% less than what he should have paid. What is the actual profit percentage made by the shopkeeper? a)2%gain b)12%gain c)4% gain d)5% gain
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Quantitative Aptitude
22 hours
ago
35
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general-aptitude
quantitative-aptitude
profit-loss
test-series
0
answers
22
unacademy test series
In a car race, Car X beats Car Y by $45$ km, Car Y beats Car Z by $50$ km, and Car X beats Car Z by $90$ km. The distance (in m) over which the race has been conducted is: 550000 475000 500000 450000
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Quantitative Aptitude
22 hours
ago
50
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quantitative-aptitude
speed-time-distance
test-series
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23
Dynamic Programming
int max(int a, int b) { return (a > b) ? a : b; } // Returns the maximum value that can be // put in a knapsack of capacity W int knapSack(int W, int wt[], int val[], int n) { // Base Case if (n == 0 || W == 0) return 0; // If ... , wt, val, n - 1), knapSack(W, wt, val, n - 1)); } This statement implies that the max value return by the two different recursive problems right?
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in
Algorithms
23 hours
ago
27
views
algorithms
dynamic-programming
knapsack-problem
0
answers
24
Best Open Video Playlist for Algorithm design techniques: Divide‐and‐Conquer Topic | Algorithm
Please list out the best free available video playlist for Algorithm design techniques: Divide-and-Conquer from Algorithm as an answer here (only one playlist per answer). We'll then select the best playlist ... more likely to be selected as best. For the full list of selected videos please see here
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in
Study Resources
1 day
ago
13
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go-classroom
video-links
missing-videos
free-videos
divide-and-conquer
0
answers
25
Best Open Video Playlist for Algorithm design techniques: Dynamic programming Topic | Algorithm
Please list out the best free available video playlist for Algorithm design techniques: Dynamic programming from Algorithm as an answer here (only one playlist per answer). We'll then select the best playlist ... more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
1 day
ago
8
views
go-classroom
video-links
missing-videos
free-videos
dynamic-programming
0
answers
26
Best Open Video Playlist for Algorithm design techniques: Greedy Topic | Algorithm
Please list out the best free available video playlist for Algorithm design techniques: Greedy from Algorithm as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO ... ones are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
1 day
ago
6
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go-classroom
video-links
missing-videos
free-videos
algorithm-design
0
answers
27
Best Open Video Playlist for Asymptotic Worst-Case Time and Space Complexity Topic | Algorithm
Please list out the best free available video playlist for Asymptotic Worst-Case Time and Space Complexity from Algorithm as an answer here (only one playlist per answer). We'll then select the best playlist ... are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
1 day
ago
6
views
go-classroom
video-links
missing-videos
free-videos
asymptotic-notations
time-complexity
space-complexity
0
answers
28
Best Open Video Playlist for Hashing Topic | Algorithm
Please list out the best free available video playlist for Hashing from Algorithm 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 add any video ... but standard ones are more likely to be selected as best. For the full list of selected videos please see here
asked
in
Study Resources
1 day
ago
6
views
go-classroom
free-videos
video-links
missing-videos
hashing
0
answers
29
ISI2020-PCB-CS: 10
Suppose instead of a decoder with $n$ input bits ( $n$ is even) to access a memory of size $2^{n}$, one uses two decoders of input sizes $k$ bits and $(n-k)$ bits. Explain how these two decoders can be used to access the ... address decoding time. Justify your answer. Assume that the time complexity of the decoder is measured by the number of output lines of that decoder.
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1 day
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isi2020-pcb-cs
0
answers
30
ISI2020-PCB-CS: 9
Consider a RISC machine where page tables of the virtual memory system may be swapped to disk from memory and neither machine instructions nor page-table entries nor data words can cross a page boundary. Now recall the load word (LW) instruction of a RISC ... an LW instruction in the above RISC machine? Explain your answer (no marks will be awarded if justification is not given).
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1 day
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isi2020-pcb-cs
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