Pinned toot

Verifying myself: I am daniphii on Keybase.io and @DaniPhii@mathstodon.xyz on Mastodon. Show more

Dani boosted

Current status: testing TLSv1.3 and setting some HTTP headers.

My previous toot is intended to verify my identity with Keybase. So I must thank @ryanmaynard for this post. ryanmaynard.co/mastodon-keybas

Verifying myself: I am daniphii on Keybase.io and @DaniPhii@mathstodon.xyz on Mastodon. Show more

Hi everybody! I'm back over here! 🙂

Some days ago I had LineageOS for microG installed on my BQ Aquaris M5 and I gotta say I'm glad I did so. lineage.microg.org/

Interesting…
\[\begin{align}\sqrt[3]{50+\sqrt{2527}}&+\sqrt[3]{50-\sqrt{2527}}=4\\
\sqrt[3]{85+\sqrt{7252}}&+\sqrt[3]{85-\sqrt{7252}}=5\\
\sqrt[3]{44+\sqrt{1944}}&+\sqrt[3]{44-\sqrt{1944}}=4\\
\sqrt[3]{1414+\sqrt{1999404}}&+\sqrt[3]{1414-\sqrt{1999404}}=14\\
\sqrt[3]{3515+\sqrt{12355252}}&+\sqrt[3]{3515-\sqrt{12355252}}=19\\
\sqrt[3]{171710+\sqrt{29484324108}}&+\sqrt[3]{171710-\sqrt{29484324108}}=70\\
\sqrt[3]{3015103+\sqrt{9090846100636}}&+\sqrt[3]{3015103-\sqrt{9090846100636}}=182\end{align}\]

I'm looking for identities like this one that I've already found:
\[\sqrt[3]{4n^3+6n+\sqrt{16n^6+48n^4+36n^2+8}}+\sqrt[3]{4n^3+6n-\sqrt{16n^6+48n^4+36n^2+8}}=2n\]

Dani boosted

I'm sooo tired. I'm teaching more maths tomorrow. Good night.

Dani boosted
The fact that people are straying away from those who pride themselves on their heads.

I've got \(2^3\), \(3^3\), \(4^3\), \(5^3\), \(6^3\) and \(7^3\) Rubik's cubes. I wanna get the next one. amazon.co.uk/dp/B01N5ECDEU

I got those formulae knowing that \((a+b)^2\) \(+\) \((a-b)^2\) \(=\) \(\sum_{k=0}^{\frac{n - (n \bmod 2)}{2}}\) \(2\) \({n \choose 2k}\) \(a^{n-2k}\) \(b^{2k}\).

\[{P_{n}}^6 = \frac{5 \cdot (-1)^{n + 1}}{128} + \sum_{k=0}^{\frac{n - (n \bmod 2)}{2}} {n \choose 2k} \cdot \Bigg(\frac{99^n \cdot 9800^k}{256 \cdot 9801^k} - \frac{3 \cdot (-17)^n \cdot 288^k}{128 \cdot 289^k} + \frac{3^{n+1} \cdot 5 \cdot 8^k}{256 \cdot 9^k}\Bigg) \]

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Mathstodon

A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

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