Tag Archives: mathjax

Beautiful equations.

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lex-luthor-the-bold:

E = MC^2

The faster you move, the heavier you get.

F_G = \frac{GM_1M_2}{R^2}

The greater the distance, the lesser the force of attraction.

T^{'}=T\sqrt{1-\frac{V^2}{C^2}}

The faster you move through space, the slower you move through time.

S = \frac{C^3KA}{4\hslash{G}}

Information entering black holes, are lost forever.

S = K_{\log}W

The tendency to move from order to disorder, increases as time progresses.

F = \frac{KQ_1Q_2}{R^2}

Opposite charges attract, similar charges repel.

\LaTeX | MathJax

PS : ↑ In order to display math — on my Tumblr — I need to escape the \ you see in front of these symbols: [, ], ( and ) ‽

e.g.

\[
Display math
\]

\(Use math inline \)

How weird is that ?

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MathJax

In order to get #MathJax, and Google-code-prettify working on your blog! You first have to add a few lines near the end of the </head> section of your html, as illustrated in the code-block below, or view the following image:
We’re only interested in the highlighted part of the image.

How? Choose customize, and then edit html. After the <body> tag, an ‘onload=’ event should be inserted.

Like so:


<head>
<!--
...lots of stuff...
...and then some more...
-->
<script type="text/javascript"
  src="https://c328740.ssl.cf1.rackcdn.com/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
<link href="https://google-code-prettify.googlecode.com/svn/trunk/src/prettify.css" type="text/css" rel="stylesheet"/>
<script src="https://google-code-prettify.googlecode.com/svn/trunk/src/prettify.js" type="text/javascript"></script>
<!-- prettify -->
</head>
<body onload="prettyPrint()">

Screenshot of the edit html section of my blog.

In the advanced section, you add the following as custom css. I use a light-gray background, as it contrasts best (it must stand out!) with the dark theme-colors I use. Please adjust your coloring accordingly. 😉

E.g.:


pre.prettyprint {font-family: 'Noticia Text', serif;font-size:0.8em;overflow-x: auto;margin: 5px 5px 5px;color: #ff6600;background-color: #d3d3d3;}

Now you should be good to go. 😉 As evidenced by all the resulting code-blocks being highlighted and all that. 😉 Onto playing with (LaTeX) it is. 😀

Here’s le me trying out the MathJax javascript engine on my tumblr, and while I’m pleased with the results so far! 😉 I regret having to notice that equations who start with begin{aligned}, and end with end{aligned}, seem to confuse the script!?

Please consider this post as a “warming up” excerice. A way for me to get comfortably in writing in: (LaTeX). 😉

The Lorenz Equations:
$$ begin{aligned} dot{x} & = sigma(y-x) dot{y} & = rho x – y – xz dot{z} & = -beta z + xy end{aligned} $$

The Cauchy-Schwarz Inequality:
$$ left( sum_{k=1}^n a_k b_k right)^2 leq left( sum_{k=1}^n a_k^2 right) left( sum_{k=1}^n b_k^2 right) $$

A Cross product formula:
$$ mathbf{V}_1 times mathbf{V}_2 = begin{vmatrix} mathbf{i} & mathbf{j} & mathbf{k} frac{partial X}{partial u} & frac{partial Y}{partial u} & 0 frac{partial X}{partial v} & frac{partial Y}{partial v} & 0 end{vmatrix} $$

The probability of getting (k) heads when flipping (n) coins is:
$$ P(E) = {n choose k} p^k (1-p)^{ n-k} $$

An Identity of Ramanujan:
$$ frac{1}{Bigl(sqrt{phi sqrt{5}}-phiBigr) e^{frac25 pi}} = 1+frac{e^{-2pi}} {1+frac{e^{-4pi}} {1+frac{e^{-6pi}} {1+frac{e^{-8pi}} {1+ldots} } } } $$

A Rogers-Ramanujan Identity:
$$ 1 + frac{q^2}{(1-q)}+frac{q^6}{(1-q)(1-q^2)}+cdots = prod_{j=0}^{infty}frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, quadquad text{for $|q|<1$}. $$

Maxwell’s Equations:
$$ begin{aligned} nabla times vec{mathbf{B}} -, frac1c, frac{partialvec{mathbf{E}}}{partial t} & = frac{4pi}{c}vec{mathbf{j}} nabla cdot vec{mathbf{E}} & = 4 pi rho nabla times vec{mathbf{E}}, +, frac1c, frac{partialvec{mathbf{B}}}{partial t} & = vec{mathbf{0}} nabla cdot vec{mathbf{B}} & = 0 end{aligned} $$

Powered by Mathjax

(✿づ◠‿◠)づ

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#MathJax, and #google-code-prettify, now live. Here, and there. 😉

Tagged as: #mathjax, #latex, #javascript, #css, and #html

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#MathJax, and #google-code-prettify, now live. Here, and there. 😉

Tagged as: #mathjax, #latex, #javascript, #css, and #html

Just me, trying out something new. ;-)

by

It’s been a while, since I looked into #mathjax, #latex, #javascript, #css, and #html. But now that I am, once again, and know how to use syntax highlighting on my tumblr, I’ll be sure to post more about it. 😉 Just keep an eye out on the pages section of this blog, as I probably will write a few dedicated pages, for you and me to peruse through, and refer to.

lex-luthor-the-bold:

Here’s le me trying out the MathJax javascript engine on my tumblr, and while I’m pleased with the results so far! 😉 I regret having to notice that equations who start with begin{aligned}, and end with end{aligned}, seem to confuse the script!?

Please consider this post as a “warming up”…

Just me, trying out something new. 😉

Just me, trying out something new. ;-)

by

Here’s le me trying out the MathJax javascript engine on my tumblr, and while I’m pleased with the results so far! 😉 I regret having to notice that equations who start with begin{aligned}, and end with end{aligned}, seem to confuse the script!?

Please consider this post as a “warming up” excerice. A way for me to get comfortably in writing in: (LaTeX). 😉

The Lorenz Equations:
[ begin{aligned} dot{x} & = sigma(y-x) \ dot{y} & = rho x – y – xz \ dot{z} & = -beta z + xy end{aligned} ]

The Cauchy-Schwarz Inequality:
[ left( sum_{k=1}^n a_k b_k right)^2 leq left( sum_{k=1}^n a_k^2 right) left( sum_{k=1}^n b_k^2 right) ]

A Cross product formula:
[ mathbf{V}_1 times mathbf{V}_2 = begin{vmatrix} mathbf{i} & mathbf{j} & mathbf{k} \ frac{partial X}{partial u} & frac{partial Y}{partial u} & 0 \ frac{partial X}{partial v} & frac{partial Y}{partial v} & 0 end{vmatrix} ]

The probability of getting (k) heads when flipping (n) coins is:
[ P(E) = {n choose k} p^k (1-p)^{ n-k} ]

An Identity of Ramanujan:
[ frac{1}{Bigl(sqrt{phi sqrt{5}}-phiBigr) e^{frac25 pi}} = 1+frac{e^{-2pi}} {1+frac{e^{-4pi}} {1+frac{e^{-6pi}} {1+frac{e^{-8pi}} {1+ldots} } } } ]

A Rogers-Ramanujan Identity:
[ 1 + frac{q^2}{(1-q)}+frac{q^6}{(1-q)(1-q^2)}+cdots = prod_{j=0}^{infty}frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, quadquad text{for $|q|<1$}. ]

Maxwell’s Equations:
[ begin{aligned} nabla times vec{mathbf{B}} -, frac1c, frac{partialvec{mathbf{E}}}{partial t} & = frac{4pi}{c}vec{mathbf{j}} \ nabla cdot vec{mathbf{E}} & = 4 pi rho \ nabla times vec{mathbf{E}}, +, frac1c, frac{partialvec{mathbf{B}}}{partial t} & = vec{mathbf{0}} \ nabla cdot vec{mathbf{B}} & = 0 end{aligned} ]

Powered by MathJax

(✿づ◠‿◠)づ

Or: All this without predefined formatting:

The Lorenz Equations:


[
begin{aligned}
dot{x} & = sigma(y-x) \
dot{y} & = rho x - y - xz \
dot{z} & = -beta z + xy
end{aligned}
]

The probability of getting (k) heads when flipping (n) coins is:


[
P(E)   = {n choose k} p^k (1-p)^{ n-k}
]

An Identity of Ramanujan:


[
frac{1}{Bigl(sqrt{phi sqrt{5}}-phiBigr) e^{frac25 pi}} =
1+frac{e^{-2pi}} {1+frac{e^{-4pi}} {1+frac{e^{-6pi}}
{1+frac{e^{-8pi}} {1+ldots} } } }
]

A Rogers-Ramanujan Identity:


[
1 +  frac{q^2}{(1-q)}+frac{q^6}{(1-q)(1-q^2)}+cdots =
prod_{j=0}^{infty}frac{1}{(1-q^{5j+2})(1-q^{5j+3})},
quadquad text{for $|q|<1$}.
]

Maxwell’s Equations:


[
begin{aligned}
nabla times vec{mathbf{B}} -, frac1c, frac{partialvec{mathbf{E}}}{partial t} & = frac{4pi}{c}vec{mathbf{j}} \
nabla cdot vec{mathbf{E}} & = 4 pi rho \
nabla times vec{mathbf{E}}, +, frac1c, frac{partialvec{mathbf{B}}}{partial t} & = vec{mathbf{0}} \
nabla cdot vec{mathbf{B}} & = 0
end{aligned}
]