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Minor change & updates to anarchycorner
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content/anarchycorner.md

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Being burnt out absolutely SUCKS.
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<sub><sup>15/03/2025</sup></sub>
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I regret installing github copilot now. LMAO it auto-completes this sentence as "It's too good, I'm not sure if I am learning anything". It is the opposite of good, the first
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command I enter after opening nvim is usually "Copilot disable". Disappointing, it still tries to complete next sentences as "It's too good", poor thing I wish it had a conscience
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and could see how stupid it is.

content/posts/three_dimensional_numbers.md

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&(2) &\hspace{0.5 cm} &i^3=ij=ji=-1 \hspace{1 cm} &j^3=1 \hspace{1 cm} &i^2=j \hspace{1 cm} &j^2=-i \hspace{1 cm} &\text{(Triplex numbers of the } 3^{\text{rd}} \text{ kind)} \\\\
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\end{align}$$
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Notice that replacing $j$ with $-j$ on $(1)$ gives us the equatons below. Hence the mapping $a+bi_{1}+cj_{1} \mapsto a+bi_{3}-cj_{3}$ is an isomorphism.
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Notice that replacing $j$ with $-j$ on $(1)$ gives us the equatons on $(2)$. Hence the mapping $a+bi_{1}+cj_{1} \mapsto a+bi_{3}-cj_{3}$ is an isomorphism.
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Finally, notice that, since composition of two isomorphisms is itself an isomorphism, with this theorem, we prove that all four kinds of triplex numbers we have talked about in this blogpost are isomorphic to one another.
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