Siddhant Trivedi

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I'm doing Msc from Gujarat University.

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25 Questions

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7	How to prove Lagrange trigonometric identity
4	Examples of open set
4	Evaluate :$\int \frac{\sin^{-1} \sqrt{x} -\cos^{-1} \sqrt{x}}{\sin^{-1} \sqrt{x} +\cos^{-1} \sqrt{x}} dx$
4	Number of elements of a finite field [duplicate]
3	Is U-group isomorphic to $\mathbb{Z}_4 \oplus\mathbb{Z}_4$?

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609 Reputation

+10	Find $\mathrm{Aut}(G)$, $\mathrm{Inn}(G)$ and $\mathrm{Aut}(G)/\mathrm{Inn}(G)$ for $G = D_4$
+8	Test of convergence of $\int_{-\infty}^{\infty} \dfrac{x^6+6}{x^8+8}dx$
+5	Relative maximum and minimum of function of three variables
+5	Is G isomorphic to $\mathbb{Z} \oplus \mathbb{Z}$?

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21 Answers

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10	Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.
7	Prove that $a_n = \{\left(1+\frac{1}{n}\right)^n\}$ is bounded sequence, $ n\in\mathbb{N}$
3	Show that $a^{\phi(b)}+b^{\phi(a)} \equiv 1 (\text{mod }ab)$ , if a and b are relatively prime positive integers.
1	Find $\mathrm{Aut}(G)$, $\mathrm{Inn}(G)$ and $\mathrm{Aut}(G)/\mathrm{Inn}(G)$ for $G = D_4$
1	$f \colon \mathbb C \rightarrow \mathbb C$ be defined by $f(z)=\cos z.$

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32 Tags

12 abstract-algebra × 12	1 complex-analysis × 6
12 group-theory × 6	0 limit × 6
8 sequences-and-series × 2	0 real-analysis × 4
4 elementary-number-theory × 6	0 permutations × 3
1 homework × 26	0 permutation-groups × 3

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7 Accounts

$Mathematics Stack Exchange$	Mathematics	609 rep	111
	Meta Stack Overflow	101 rep
	Web Applications	101 rep
$TeX - LaTeX Stack Exchange$	TeX - LaTeX	101 rep
	English Language & Usage	101 rep

12 Badges

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Nice Answer	Supporter
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