Carefree Explorer‭

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For oft, when on my couch I lie
In vacant or in pensive mood,
They flash upon that inward eye
Which is the bliss of solitude;
And then my heart with pleasure fills,
And dances with the daffodils.

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Q&A Show that $f(x) = \arctan\left(\frac{x}{x+1}\right) + \arctan\left(\frac{x+1}{x}\right) = \frac{\pi}{2}$

2 answers · posted 2y ago by Carefree Explorer‭ · last activity 2y ago by Derek Elkins‭

Question limits trigonometry

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Q&A Prove $e^x \ge x+1 \\\; \forall x \in \mathbb{R}$ using induction

1 answer · posted 2y ago by Carefree Explorer‭ · edited 2y ago by Derek Elkins‭

Question limits induction inequality solution-verification

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Q&A Show that $\forall n \in \mathbb{Z}^{+}$, $25^n \equiv 25 \bmod{100}$.

2 answers · posted 2y ago by Carefree Explorer‭ · edited 2y ago by Peter Taylor‭

Question number-theory recreational-mathematics modular-arithmetic

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Q&A Is there a way to encode a unique arrangement of vertices of a graph with a unique short word?

2 answers · posted 2y ago by Carefree Explorer‭ · last activity 2y ago by celtschk‭

Question graph-theory

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Reputation		46
Number of top-level posts		4
Number of answers		0
Sum of received votes (up minus down)		9
Number of edits made		2

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Questions		4
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