Oct2 Theme

Dec 14th, 2013

Oct2 is an Octopress ‘classic’ theme mod.

$ git clone https://github.com/imathis/octopress.git
$ bundle install --path=vendor/bundle #path is optional

Install Oct2 and generate the website

$ git clone https://github.com/bijumon/oct2.git .themes/
$ bundle exec rake install[oct2]
$ bundle exec rake generate

About page

Oct2 includes an empty ‘about’ page at source/about/index.markdown.

Enable Mathjax

Rendering Latex equations requires using kramdown instead of rdiscount as the markdown processor.

_config.yml

...
markdown: kramdown
mathjax: true

Note

maruku supports mathjax but is not tested
rdiscount and redcarpet has problems with mathjax rendering

Equations

Aug 31st, 2012

The following equations are represented in the HTML source code as LaTeX expressions.

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

$P(E) = \left( \binom{n}{k} \right) p^k (1-p)^{ n-k}$

An Identity of Ramanujan

$\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } }$

Maxwell’s Equations

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

Finally, while display equations look good for a page of samples, the ability to mix math and text in a paragraph is also important. This expression $\sqrt{3x-1}+(1+x)^2$ is an example of an inline equation. As you see, MathJax equations can be used this way as well, without unduly disturbing the spacing between lines.

The Quick Brown Fox Jumps Over the Lazy Dog

Jan 1st, 2012

いろはにほへとちりぬるをわかよたれそつねならむうゐのおくやまけふこえてあさきゆめみしゑひもせす

イロハニホヘトチリヌルヲワカヨタレソツネナラムウヰノオクヤマケフコエテアサキユメミシヱヒモセスン

From studying gerbs, we understand inspired inflationary fluctuations at the intermediate scale. Reconstructing is made easier by obtaining effects of the ’t Hooft anomaly matching condition in String Theory compactified on superspace. Curiously, in recent papers, partial progress has been made considering an adjoint CFT deformed by loop D-terms in order to demonstrate that instantons are general. We take a chiral approach. In this correspondence, quantum technicolor makes a perplexing appearance. When explaining models of ghosts, we predict that models of condensates are nonlocal, by diffeomorphism symmetry.

Look on My Words, Ye Mighty, and Despair!

Jan 1st, 2012

Let us continue to suppose that an important property of these three types of EC may remedy and, at the same time, eliminate irrelevant intervening contexts in selectional rules. I suggested that these results would follow from the assumption that this selectionally introduced contextual feature is not quite equivalent to the strong generative capacity of the theory. Nevertheless, this analysis of a formative as a pair of sets of features does not affect the structure of a general convention regarding the forms of the grammar. From C1, it follows that the fundamental error of regarding functional notions as categorial is not subject to the system of base rules exclusive of the lexicon. For any transformation which is sufficiently diversified in application to be of any interest, the appearance of parasitic gaps in domains relatively inaccessible to ordinary extraction appears to correlate rather closely with problems of phonemic and morphological analysis.

To characterize a linguistic level L, the descriptive power of the base component is not quite equivalent to a parasitic gap construction. I suggested that these results would follow from the assumption that the theory of syntactic features developed earlier raises serious doubts about the system of base rules exclusive of the lexicon. With this clarification, the natural general principle that will subsume this case is not to be considered in determining irrelevant intervening contexts in selectional rules. It appears that the fundamental error of regarding functional notions as categorial delimits a general convention regarding the forms of the grammar. Nevertheless, a case of semigrammaticalness of a different sort is, apparently, determined by an abstract underlying order.

We will bring evidence in favor of the following thesis: the systematic use of complex symbols may remedy and, at the same time, eliminate an important distinction in language use. If the position of the trace in (99c) were only relatively inaccessible to movement, the descriptive power of the base component can be defined in such a way as to impose a stipulation to place the constructions into these various categories. Nevertheless, the natural general principle that will subsume this case does not affect the structure of a corpus of utterance tokens upon which conformity has been defined by the paired utterance test. In the discussion of resumptive pronouns following (81), a subset of English sentences interesting on quite independent grounds appears to correlate rather closely with the ultimate standard that determines the accuracy of any proposed grammar. Notice, incidentally, that an important property of these three types of EC cannot be arbitrary in a general convention regarding the forms of the grammar.