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 $T_{1}, T_{2}, \ldots, T_{k}$.

recategorized in Others 16 hours ago

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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 $n \rightarrow \infty$.

recategorized in Others 16 hours ago

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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 $x$.

recategorized in Others 16 hours ago

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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 ?

recategorized in Others 16 hours ago

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1 answer

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ISI 2020 | PCB Mathematics | Question: 6
Find all possible integers $n$ for which $n^{2}+20 n+15$ is a perfect square.

recategorized in Others 16 hours ago

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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.

recategorized in Others 16 hours ago

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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 $c=\alpha^{2}-\alpha$.

recategorized in Others 16 hours ago

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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 $A$.

recategorized in Others 16 hours ago

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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.

recategorized in Others 16 hours ago

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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 $

recategorized in Others 16 hours ago

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11

Best Open Video Playlist for Data Flow Analysis: Common Subexpression Elimination Topic | Compiler Design

asked in Study Resources 16 hours ago

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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

asked in Study Resources 17 hours ago

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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

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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

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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

0 answers

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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

asked in Study Resources 21 hours ago

6 views

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

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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

asked in Study Resources 21 hours ago

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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

asked in Others 21 hours ago

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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

asked in Others 22 hours ago

5 views

1 answer

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

retagged in Quantitative Aptitude 22 hours ago

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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

retagged in Quantitative Aptitude 22 hours ago

50 views

1 answer

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?

edited in Algorithms 23 hours ago

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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

asked in Study Resources 1 day ago

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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

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 views

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

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

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.

recategorized in Others 1 day ago

7 views

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).

recategorized in Others 1 day ago

7 views

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