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IIIT-Hyderabad PGEE
How we get payment link for IIIT Hyderabad PGEE test classes,previous Previous question papers and mock tests . Please share the WhatsApp mobile number for better communication through messages
Sampath Gunta
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Mar 23
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Sampath Gunta
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iiith-pgee
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2
Chose the correct big- Θ expression to describe: T(N) = 8 T(N / 2) + 10 N Log(N/10) ;T(1) = c
MennaTullah
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Mar 1
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MennaTullah
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2
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0
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3
Gate Overflow site issue
Why Gate Overflow Answer Writing template changed ? Previously there was separate Text editor section where we could add equation, different different colours and fonts and mathematical formulas. But now in the new template those are not there.
Jiten008
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Feb 29
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Jiten008
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4
I have purchased the IIIT Hyderabad 2024 test series but i can't find the test series anywhere can any one help me
Rohith Katkuri
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Feb 26
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Rohith Katkuri
126
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5
du ques.
A program is running on a specific machine (CPU) with the following parameters: i) Total instructions executed =10^7 ii) Average CPI = 2.5 cycles per instruction. iii)CPU clock rate=200MHz (clock cycle = 1/clock rate). Find the execution time for this program.
Sheikh Rafi
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Feb 24
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Sheikh Rafi
63
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0
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0
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6
Hello everyone, I am doing Btech in CSE with specialization in Data science I wanted to ask is it a eligible degree for admission in mtech of IITs (Is it considered the same as CSE Core) while admission
Rahul Sharma0408
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Feb 20
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Rahul Sharma0408
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query
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7
Will the GATE 2024 rank predictor for DS&AI be released?
If yes, when? If no, why not?
Infinity
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Feb 18
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Infinity
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gate-ds-ai
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8
how i give free mock test on previous year
Shruti bhurse
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Feb 7
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Shruti bhurse
78
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query
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9
TIFR Mathematics 2024 | Part B | Question: 1
If $\text{G}$ is a group of order $361$, then $\text{G}$ has a normal subgroup $\text{H}$ such that $H \cong G / H$.
admin
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Others
Jan 19
by
admin
67
views
tifrmaths2024
true-false
0
votes
0
answers
10
TIFR Mathematics 2024 | Part B | Question: 3
The function $d: \mathbb{R} \times \mathbb{R} \rightarrow \mathbb{R}$ given by $d(x, y)=\left|e^{x}-e^{y}\right|$ defines a metric on $\mathbb{R}$, and $(\mathbb{R}, d)$ is a complete metric space.
admin
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Others
Jan 19
by
admin
51
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tifrmaths2024
true-false
0
votes
0
answers
11
TIFR Mathematics 2024 | Part B | Question: 4
Let $n$ be a positive integer, and $A$ an $n \times n$ matrix over $\mathbb{R}$ such that $A^{3}=\mathrm{Id}$. Then $A$ is diagonalizable in $\mathrm{M}_{n}(\mathbb{R})$, i.e., there exists $P \in \mathrm{M}_{n}(\mathbb{R})$ such that $P$ is invertible and $P A P^{-1}$ is a diagonal matrix.
admin
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in
Others
Jan 19
by
admin
55
views
tifrmaths2024
true-false
0
votes
0
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12
TIFR Mathematics 2024 | Part B | Question: 5
If $A \in \mathrm{M}_{n}(\mathbb{Q})$ is such that the characteristic polynomial of $A$ is irreducible over $\mathbb{Q}$, then $A$ is diagonalizable in $\mathrm{M}_{n}(\mathbb{C})$, i.e., there exists $P \in \mathrm{M}_{n}(\mathbb{C})$ such that $P$ is invertible and $P A P^{-1}$ is a diagonal matrix.
admin
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in
Others
Jan 19
by
admin
63
views
tifrmaths2024
true-false
0
votes
0
answers
13
TIFR Mathematics 2024 | Part B | Question: 6
The complement of any countable union of lines in $\mathbb{R}^{3}$ is path connected.
admin
asked
in
Others
Jan 19
by
admin
40
views
tifrmaths2024
true-false
0
votes
0
answers
14
TIFR Mathematics 2024 | Part B | Question: 7
The subsets $\left\{(x, y) \in \mathbb{R}^{2} \mid\left(y^{2}-x\right)\left(y^{2}-x-1\right)=0\right\}$ and $\left\{(x, y) \in \mathbb{R}^{2} \mid y^{2}-x^{2}=1\right\}$ of $\mathbb{R}^{2}$ (with the induced metric) are homeomorphic.
admin
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in
Others
Jan 19
by
admin
50
views
tifrmaths2024
true-false
0
votes
0
answers
15
TIFR Mathematics 2024 | Part B | Question: 8
$\mathbb{Q} \cap[0,1]$ is a compact subset of $\mathbb{Q}$.
admin
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Others
Jan 19
by
admin
43
views
tifrmaths2024
true-false
0
votes
0
answers
16
TIFR Mathematics 2024 | Part B | Question: 9
Suppose $f: X \rightarrow Y$ is a function between metric spaces, such that whenever a sequence $\left\{x_{n}\right\}$ converges to $x$ in $X$, the sequence $\left\{f\left(x_{n}\right)\right\}$ converges in $Y$ (but it is not given that the limit of $\left\{f\left(x_{n}\right)\right\}$ is $\left.f(x)\right)$. Then $f$ is continuous.
admin
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in
Others
Jan 19
by
admin
52
views
tifrmaths2024
true-false
0
votes
0
answers
17
TIFR Mathematics 2024 | Part B | Question: 10
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be differentiable, and assume that $\left|f^{\prime}(x)\right| \geq 1$ for all $x \in \mathbb{R}$. Then for each compact set $C \subset \mathbb{R}$, the set $f^{-1}(C)$ is compact.
admin
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in
Others
Jan 19
by
admin
52
views
tifrmaths2024
true-false
0
votes
0
answers
18
TIFR Mathematics 2024 | Part B | Question: 11
There exists a function $f:[0,1] \rightarrow \mathbb{R}$, which is not Riemann integrable and satisfies \[ \sum_{i=1}^{n}\left|f\left(t_{i}\right)-f\left(t_{i-1}\right)\right|^{2}<1 \]
admin
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in
Others
Jan 19
by
admin
47
views
tifrmaths2024
true-false
0
votes
0
answers
19
TIFR Mathematics 2024 | Part B | Question: 12
Let $E \subset[0,1]$ be the subset consisting of numbers that have a decimal expansion which does not contain the digit 8 . Then $E$ is dense in $[0,1]$.
admin
asked
in
Others
Jan 19
by
admin
54
views
tifrmaths2024
0
votes
0
answers
20
TIFR Mathematics 2024 | Part B | Question: 13
Let $\text{G}$ be a proper subgroup of $(\mathbb{R},+)$ which is closed as a subset of $\mathbb{R}$. Then $G$ is generated by a single element.
admin
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in
Others
Jan 19
by
admin
61
views
tifrmaths2024
0
votes
0
answers
21
TIFR Mathematics 2024 | Part B | Question: 14
There exists a unique function $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $f$ is continuous at $x=0$, and such that for all $x \in \mathbb{R}$ \[ f(x)+f\left(\frac{x}{2}\right)=x . \]
admin
asked
in
Others
Jan 19
by
admin
53
views
tifrmaths2024
0
votes
0
answers
22
TIFR Mathematics 2024 | Part B | Question: 15
A map $f: V \rightarrow W$ between finite dimensional vector spaces over $\mathbb{Q}$ is a linear transformation if and only if $f(x)=f(x-a)+f(x-b)-f(x-a-b)$, for all $x, a, b \in V$.
admin
asked
in
Others
Jan 19
by
admin
44
views
tifrmaths2024
0
votes
0
answers
23
TIFR Mathematics 2024 | Part B | Question: 16
Let $R$ be the ring $\mathbb{C}[x] /\left(x^{2}\right)$ obtained as the quotient of the polynomial ring $\mathbb{C}[x]$ by its ideal generated by $x^{2}$. Let $R^{\times}$be the multiplicative group of units of this ring. Then there is an injective group homomorphism from $(\mathbb{Z} / 2 \mathbb{Z}) \times(\mathbb{Z} / 2 \mathbb{Z})$ into $R^{\times}$.
admin
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in
Others
Jan 19
by
admin
66
views
tifrmaths2024
0
votes
0
answers
24
TIFR Mathematics 2024 | Part B | Question: 17
Let $A \in \mathrm{M}_{2}(\mathbb{Z})$ be such that $\left|A_{i j}(n)\right| \leq 50$ for all $1 \leq n \leq 10^{50}$ and all $1 \leq i, j \leq 2$, where $A_{i j}(n)$ denotes the $(i, j)$-th entry of the $2 \times 2$ matrix $A^{n}$. Then $\left|A_{i j}(n)\right| \leq 50$ for all positive integers $n$.
admin
asked
in
Others
Jan 19
by
admin
51
views
tifrmaths2024
0
votes
0
answers
25
TIFR Mathematics 2024 | Part B | Question: 18
Let $A, B$ be subsets of $\{0, \ldots, 9\}$. It is given that, on choosing elements $a \in A$ and $b \in B$ at random, $a+b$ takes each of the values $0, \ldots, 9$ with equal probability. Then one of $A$ or $B$ is singleton.
admin
asked
in
Others
Jan 19
by
admin
53
views
tifrmaths2024
0
votes
0
answers
26
TIFR Mathematics 2024 | Part B | Question: 19
If $f: \mathbb{R} \rightarrow \mathbb{R}$ is uniformly continuous, then there exists $M>0$ such that for all $x \in \mathbb{R} \backslash[-M, M]$, we have $f(x) < x^{100}$.
admin
asked
in
Others
Jan 19
by
admin
65
views
tifrmaths2024
0
votes
0
answers
27
TIFR Mathematics 2024 | Part B | Question: 20
If a sequence $\left\{f_{n}\right\}$ of continuous functions from $[0,1]$ to $\mathbb{R}$ converges uniformly on $(0,1)$ to a continuous function $f:[0,1] \rightarrow \mathbb{R}$, then $\left\{f_{n}\right\}$ converges uniformly on $[0,1]$ to $f$.
admin
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in
Others
Jan 19
by
admin
69
views
tifrmaths2024
0
votes
0
answers
28
OIL IT Senior officer
From where to get syllabus for OIL senior officer IT.
mk_007
asked
in
Study Resources
Jan 12
by
mk_007
36
views
psu
syllabus
0
votes
0
answers
29
UGC NET CSE | June 2008 | Part 2 | Question: 5
In a set of $8$ positive integers, there always exists a pair of numbers having the same remainder when divided by : $7$ $11$ $13$ $15$
admin
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Jan 6
by
admin
75
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ugcnetcse-june2008-paper2
0
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0
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30
UGC NET CSE | June 2008 | Part 2 | Question: 9
The characteristic equation of a $\mathrm{T}$ flip flop is given by : $\mathrm{Q}_{\mathrm{N}+1}=\mathrm{TQ}_{\mathrm{N}}$ $\mathrm{Q}_{\mathrm{N}+1}=\mathrm{T}+\mathrm{Q}_{\mathrm{N}}$ $\mathrm{Q}_{\mathrm{N}+1}=\mathrm{T} \oplus \mathrm{Q}_{\mathrm{N}}$ $\mathrm{Q}_{\mathrm{N}+1}=\overline{\mathrm{T}}+\mathrm{Q}_{\mathrm{N}}$
admin
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Jan 6
by
admin
44
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ugcnetcse-june2008-paper2
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