User blog:Edwin Shade/Just Practice, That's All !

​In this blog post I will be testing my ability to write mathematical equations and symbols, using LaTex

/2^{4^{8^{16^{32^{64^{128^{256}}}}}}}/

Hmm...that didn't go as planned, I'm going to try that again.

\2^{4^{8^{16^{32^{64^{128^{256}}}}}}}\

Okay, now this ought to work, if it does this text will be italic.

And it works !

Now, back to writing this equation, let's see...maybe this would work.

2^{4^{8^{16^{32^{64^{128^{256}}}}}}}

And...it didn't work. Well, that is alright, perhaps I can begin with a simpler expression such as 2^3.

$$2^3$$

Ah yes ! At last it has worked !

$$2^{4^{8^{16^{32^{64^{128^{256}}}}}}} $$

Let's try something a bit more complicated now.

$$f/sub/omega(n)=f/sub/n(n) $$

Perhaps there is another way to do that.

$$f_{\omega}(n)=f_{n}(n)$$

It Works !

Now I'm going to try something a bit more complex.

$$f_{\varepsilon_0}(23)$$

Okay, now for something simple.

$$f_{\approx_{\approx_{\approx_{\approx_{\approx_{\approx^\approx}^\approx}^\approx}^\approx}^\approx}^\approx}$$

There ! Now that function does nothing useful, but it sure does look cool. Now for a summation function.

$$\sum_{k=0}^{\infty} 8^k/9^k$$

Ah yes, I am getting quite used to this. Now for something a tad more advanced.

$$\sum_{k=0}^{sum_{k=0}^{sum_{k=0}^{\infty} 8^k/9^k} 8^k/9^k}$$ Interestingly enough the summation symbols upon each other don't seem to render past the first one. Anyways, I will now try to make a matrix using LaTex. \[ \left \{ \begin{tabular}{ccc} 1 & 5 & 8 \\ 0 & 2 & 4 \\  3 & 3 & -8   \end{tabular} \right \} \]

That did not have the intended effect, but none the less I will try again.

\[\begin{bmatrix} 1&0&0\\ 0&1&0\\ 0&0&1\\ \end{bmatrix}\]

Great ! Now if I can make nested matrices I will be ready for almost anything.

\[\begin{bmatrix} {\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\ \end{bmatrix}\]

And...once more just to see if I can go farther with this.

\[\begin{bmatrix} {\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}\\ {\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}\\\end{bmatrix}}&0\\0&1&0\\0&0&1\\\end{bmatrix}}&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&1\\\end{bmatrix}}\\\end{bmatrix}}\\ {\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\{\begin{bmatrix}1&0&0\\0&1&0\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&0&1\\\end{bmatrix}}&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}&{\begin{bmatrix}{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}&{\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\\\end{bmatrix}}\\\end{bmatrix}}\\ \end{bmatrix}\]