diff --git a/CNAME b/CNAME new file mode 100644 index 00000000..29c4e7e4 --- /dev/null +++ b/CNAME @@ -0,0 +1 @@ +clearlyelevated.js.org diff --git a/_posts b/_posts new file mode 100644 index 00000000..8b137891 --- /dev/null +++ b/_posts @@ -0,0 +1 @@ + diff --git a/_posts/2015-11-21-typesetting-math-in-texts.md b/_posts/2015-11-21-typesetting-math-in-texts.md deleted file mode 100644 index 3959e9a2..00000000 --- a/_posts/2015-11-21-typesetting-math-in-texts.md +++ /dev/null @@ -1,289 +0,0 @@ ---- -title: Typesetting Math in Texts ---- - -Basic math ----------- - -Whenever you typeset mathematical notation, it needs to have “Math” style. For -example: If $$a$$ is an integer, then $$2a+1$$ is odd. - -Superscripts and subscripts are created using the characters `^` and `_`, -respectively: $$x^2+y^2=1$$ and $$a_n=0$$. It is fine to have both on a single -letter: $$x_0^2$$. - -If the superscript [or subscript] is more than a single character, enclose the -superscript in curly braces: $$e^{-x}$$. - -Greek letters are typed using commands such as `\gamma` ($$\gamma)$$ and -`\Gamma` ($$\Gamma$$). - -Named mathematics operators are usually typeset in roman. Most of the standards -are already available. Some examples: $$\det A$$, $$\cos\pi$$, and -$$\log(1-x)$$. - -Displayed equations -------------------- - -When an equation becomes too large to run in-line, you display it in a “Math” -paragraph by itself. - -$$ -f(x) = 5x^{10}-9x^9 + 77x^8 + 12x^7 + 4x^6 - 8x^5 + 7x^4 + x^3 -2x^2 + 3x + 11. -$$ - -The `\begin{aligned}...\end{aligned}` environment is superb for lining up -equations. - -$$ -\begin{aligned} - (x-y)^2 - &= (x-y)(x-y) \\ - &= x^2 -yx - xy + y^2 \\ - &= x^2 -2xy +y^2. -\end{aligned} -$$ - -$$ -\begin{aligned} - 3x-y&=0 & 2a+b &= 4 \\ - x+y &=1 & a-3b &=10 -\end{aligned} -$$ - -To insert ordinary text inside of mathematics mode, use `\text`: - -$$ -f(x) = \frac{x}{x-1} \text{ for $x\not=1$}. -$$ - -This is the $$3^{\text{rd}}$$ time I’ve asked for my money back. - -The `\begin{cases}...\end{cases}` environment is perfect for defining functions -piecewise: - -$$ -|x| = -\begin{cases} -x & \text{when $x \ge 0$ and} \\ --x & \text{otherwise.} -\end{cases} -$$ - -Relations and operations ------------------------- - -- Equality-like: $$x=2$$, $$x \not= 3$$, $$x \cong y$$, $$x \propto y$$, - $$y\sim z$$, $$N \approx M$$, $$y \asymp z$$, $$P \equiv Q$$. - -- Order: $$x < y$$, $$y \le z$$, $$z \ge 0$$, $$x \preceq y$$, $$y\succ z$$, - $$A \subseteq B$$, $$B \supset Z$$. - -- Arrows: $$x \to y$$, $$y\gets x$$, $$A \Rightarrow B$$, $$A \iff B$$, $$x - \mapsto f(x)$$, $$A \Longleftarrow B$$. - -- Set stuff: $$x \in A$$, $$b \notin C$$, $$A \ni x$$. Use `\notin` rather - than `\not\in`. $$A \cup B$$, $$X \cap Y$$, $$A \setminus B = \emptyset$$. - -- Arithmetic: $$3+4$$, $$5-6$$, $$7\cdot 8 = 7\times8$$, - $$3\div6=\frac{1}{2}$$, $$f\circ g$$, $$A \oplus B$$, $$v \otimes w$$. - -- Mod: As a binary operation, use `\bmod`: $$x \bmod N$$. As a relation use - `\mod`, `\pmod`, or `\pod`: - - $$ - \begin{aligned} - x &\cong y \mod 10 \\ - x &\cong y \pmod{10} \\ - x &\cong y \pod{10} - \end{aligned} - $$ - -- Calculus: $$\partial F/\partial x$$, $$\nabla g$$. - -Use the right dots ------------------- - -Do not type three periods; instead use `\cdots` between operations and `\ldots` -in lists: $$x_1 + x_2 + \cdots + x_n$$ and $$(x_1,x_2,\ldots,x_n)$$. - -Built up structures -------------------- - -- Fractions: $$\frac{1}{2}$$, $$\frac{x-1}{x-2}$$. - -- Binomial coefficients: $$\binom{n}{2}$$. - -- Sums and products. Do *not* use `\Sigma` and `\Pi`. - - $$ - \sum_{k=0}^\infty \frac{x^k}{k!} \not= \prod_{j=1}^{10} \frac{j}{j+1}. - $$ - - $$ - \bigcup_{k=0}^\infty A_k - \qquad - \bigoplus_{j=1}^\infty V_j - $$ - -- Integrals: - - $$ - \int_0^1 x^2 \, dx - $$ - - The extra bit of space before the $$dx$$ term is created with the `\,` - command. - -- Limits: - - $$ - \lim_{h\to0} \frac{\sin(x+h) - \sin(x)}{h} = \cos x . - $$ - - Also $$\limsup_{n\to\infty} a_n$$. - -- Radicals: $$\sqrt{3}$$, $$\sqrt[3]{12}$$, $$\sqrt{1+\sqrt{2}}$$. - -- Matrices: - - $$ - A = \left[\begin{matrix} 3 & 4 & 0 \\ 2 & -1 & \pi \end{matrix}\right] . - $$ - - A big matrix: - - $$ - D = \left[ - \begin{matrix} - \lambda_1 & 0 & 0 & \cdots & 0 \\ - 0 & \lambda_2 & 0 & \cdots & 0 \\ - 0 & 0 & \lambda_3 & \cdots & 0 \\ - \vdots & \vdots & \vdots & \ddots & \vdots \\ - 0 & 0 & 0 & \cdots & \lambda_n - \end{matrix} - \right]. - $$ - -Delimiters ----------- - -- Parentheses and square brackets are easy: $$(x-y)(x+y)$$, $$[3-x]$$. - -- For curly braces use `\{` and `\}`: $$\{x : 3x-1 \in A\}$$. - -- Absolute value: $$\vert x-y\vert$$, $$\vert\vec{x} - \vec{y}\vert$$. - -- Floor and ceiling: $$\lfloor \pi \rfloor = \lceil e \rceil$$. - -- To make delimiters grow so they are properly sized to contain their - arguments, use `\left` and `\right`: - - $$ - \left[ \sum_{n=0}^\infty a_n x^n \right]^2 = - \exp \left\{ - \frac{x^2}{2} \right\} - $$ - - Occasionally, it is useful to coerce a larger sized delimiters than - `\left`/`\right` produce. Look at the two sides of this equation: - - $$ - \left((x_1+1)(x_2-1)\right) - = - \bigl((x_1+1)(x_2-1)\bigl). - $$ - - I think the right is better. Use `\bigl`, `\Bigl`, `\biggl`, and the - matching `\bigr`, etc. - -- Underbraces: - - $$ - \underbrace{1+1+\cdots+1}_{\text{$n$ times}} = n . - $$ - -Styled and decorated letters ----------------------------- - -- Primes: $$a'$$, $$b''$$. - -- Hats: $$\bar a$$, $$\hat a$$, $$\vec a$$, $$\widehat{a_j}$$. - -- Vectors are often set in bold: $$\mathbf{x}$$. - -- Calligraphic letters (for sets of sets): $$\mathcal{A}$$. - -- Blackboard bold for number systems: $$\mathbb{C}$$. - -The text above is based on a paper by Edward R. Scheinerman[^1]. - -[^1]: - -A few more examples from mathTeX tutorial[^2]. - -[^2]: . - -$$ -e^x=\sum_{n=0}^\infty\frac{x^n}{n!} -$$ - -$$ -e^x=\lim_{n\to\infty} \left(1+\frac xn\right)^n -$$ - -$$ -\varepsilon = \sum_{i=1}^{n-1} \frac1{\Delta x} - \int\limits_{x_i}^{x_{i+1}} \left\{ - \frac1{\Delta x}\big[ - (x_{i+1}-x)y_i^\ast+(x-x_i)y_{i+1}^\ast - \big]-f(x) - \right\}^2dx -$$ - -Solution for quadratic: - -$$ -x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} -$$ - -Definition of derivative: - -$$ -f^\prime(x)\ = \lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x} -$$ - -Continued fraction: - -$$ -f=b_o+\frac{a_1}{b_1+\frac{a_2}{b_2+\frac{a_3}{b_3+a_4}}} -$$ - -Demonstrating `\left\{…\right.` and accents. - -$$ -\tilde y=\left\{ {\ddot x \mbox{ if $x$ odd}\atop\widehat{\bar x+1}\text{ if even}}\right. -$$ - -Overbrace and underbrace: - -$$ -\overbrace{a,...,a}^{\text{k a's}}, -\underbrace{b,...,b}_{\text{l b's}}\hspace{10pt} -\underbrace{\overbrace{a...a}^{\text{k a's}}, -\overbrace{b...b}^{\text{l b's}}}_{\text{k+l elements}} -$$ - -Illustrating array: - -$$ -A\ =\ \left( \begin{array}{c|ccc} -& 1 & 2 & 3 \\ \hline -1&a_{11}&a_{12}&a_{13} \\ -2&a_{21}&a_{22}&a_{23} \\ -3&a_{31}&a_{32}&a_{33} -\end{array} \right) -$$ - -See [Wikibook on -LaTeX]() for more -examples. diff --git a/_posts/2015-11-24-texts-github-pages-blog.md b/_posts/2015-11-24-texts-github-pages-blog.md deleted file mode 100644 index 8840269d..00000000 --- a/_posts/2015-11-24-texts-github-pages-blog.md +++ /dev/null @@ -1,80 +0,0 @@ ---- -title: Texts + GitHub Pages = Blog ---- - -Follow simple [instructions]() to publish -your blog on GitHub Pages and write posts in Texts. - -Texts is “rich editor for plain text”—you can write documents in visual -interface and they will be saved in plain text format with Markdown markup. This -document shows some of the styles available in Texts. - -Images ------- - -![](<../images/radcliffe-camera.jpg>) - -Math ----- - -Formulas can be placed inline like $$E=mc^2$$ or in a separate paragraph, like -the following one. Standard LaTeX syntax is supported. - -$$ -\frac{n!}{k!(n-k)!} = \binom{n}{k} -$$ - -Code ----- - -Inline `code` gets monospaced font. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ruby -def print_hi(name) - puts "Hi, #{name}" -end -print_hi('Tom') -#=> prints 'Hi, Tom' to STDOUT. -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -Press “Enter” key inside code block to insert a line break or “Shift+Enter” to -end code block. - -Footnotes ---------- - -Notes can be placed anywhere[^1] in the source file. When document is published -to a paper-oriented format (PDF or Word) footnotes are displayed at the bottom -of the page. E-book readers usually display notes in popups. - -[^1]: Yes, right here. - -Lists ------ - -- First bulleted item. - -- Second bulleted item. - -Lists can be styled via menu, keyboard shortcut, or using autoformatting: type -minus and space for bulleted item or “1”, point and space for numbered item. -Press “Tab” to indent paragraph and create subitem, “Shift+Tab” to unindent. - -1. First numbered item. - -2. Second numbered item. - -Tables ------- - -| **Features** | **Editable in Texts** | **Export to PDF** | **Export to HTML** | -|--------------|-----------------------|-------------------|--------------------| -| Basic Styles | ✓ | ✓ | ✓ | -| Footnotes | ✓ | ✓ | ✓ | -| Images | ✓ | ✓ | ✓ | -| Tables | ✓ | ✓ | ✓ | - -Happy writing! -============== - -Got a question? Visit . diff --git a/about/index.md b/about/index.md index ee0096d3..8c2608b9 100644 --- a/about/index.md +++ b/about/index.md @@ -3,8 +3,4 @@ layout: page title: About --- -Hey there! This page is included as an example. Feel free to customize it for -your own use. - -Follow [instructions]() to publish your blog -on GitHub Pages. +**Hello, I am ClearlyElevated. This blog will be about changes to any of my repos/services that i currently offer in 2019**