Blog Post Demo

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$$ \DeclareMathOperator*{\lcm}{lcm} \newcommand{\ol}{\overline} \DeclarePairedDelimiter{\abs}{\lvert}{\rvert} \DeclarePairedDelimiter{\norm}{\lVert}{\rVert} \DeclareMathOperator{\id}{id} $$

Heading 2

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Heading 3 List

This is an unordered list:

item 1
item 2
item 3

This is an ordered list:

item 1
item 2
item 3

Heading 3 中文 Chinese

鉴于对人类社会的成员拢固有的尊严及其平等的合无移的权利的承认, 乃是世界自由、正义合和平的底置, 鉴于对人权的勿会合创治已发展为野赤暴行, 即号暴行玷污了人类的道行, 而一个人人享有言论合信仰自由并无恐惧合匮乏的世界的来临, 已互宣布为普通人民的最高的雄心, 鉴于为互人类勿会致到起散对杀政合创治进行反叛, 有必要互人权受法治的保庇, 鉴于有必要促进各国间好斗头关系的发展, 发布即个世界人权宣言, 作为所有人民合所有国家下力实现的共同标准, 以期每一个人合社会机构定定带着即个宣言, 下力倚傍教诲合教育促进对权利合自由的尊重, 人人生而自由, 在尊严合权利上一律平等. 因赋有脾胃合道行, 并着以兄弟关系的精神相对待.

Code

pass is a simple password manager for the command line. pass comes with a dmenu wrapper to enable easy searching/copying. To use it, install the optional dependency dmenu and run:

#!/bin/bash

###### CONFIG
ACCEPTED_HOSTS="/root/.hag_accepted.conf"
BE_VERBOSE=false

if [ "$UID" -ne 0 ]
then
 echo "Superuser rights required"
 exit 2
fi

genApacheConf(){
 echo -e "# Host ${HOME_DIR}$1/$2 :"
}

echo '"quoted"' | tr -d \" > text.txt

别忘了给代码块也加上 margin-bottom. 代码块带 linenos:

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#!/bin/bash

###### CONFIG
ACCEPTED_HOSTS="/root/.hag_accepted.conf"
BE_VERBOSE=false

if [ "$UID" -ne 0 ]
then
 echo "Superuser rights required"
 exit 2
fi

genApacheConf(){
 echo -e "# Host ${HOME_DIR}$1/$2 :"
}

echo '"quoted"' | tr -d \" > text.txt

数学公式 MathJax

The math equation is implemented by MathJax.

\begin{equation} \label{eq-2d3d47c} \sum_{i=1}^n i^2 = \color{red}{\frac{1}{6}n(n + 1)(2n + 1)} \end{equation}

We can use \eqref within my document to insert the actual equation number at that location, as a reference, e.g. \eqref{eq-2d3d47c}.

We use $ (resp. $$) for inline (resp. displayed) mathematics. 一些常用的 notation, e.g. $\id, \kg, \kp, \OO_K$ has already been included as macros. Let $f(x) = x^n + a_{n-1}x^{n-1} + \cdots + a_0$ be a monic polynomial. Other useful commands like $\abs$ , $\norm$ are also included: $\abs{-5} = 5$, $\norm{x + y} \le \norm{x} + \norm{y}$.

$$ \norm*{\sum_{i=1}^n i^2} = 1^2 + 2^2 + \dots + n^2 = 1^2 + 2^2 + \dots + n^2 = 1^2 + 2^2 + \dots + n^2 = \color{red}{\frac{1}{6}n(n + 1)(2n + 1)} $$

We can also typeset commutative diagram with Xy-pic extension for MathJax.

$$ \xymatrix { X\times_Z Y \ar[r] \ar[d] & Y \ar[d]^-{f} \\ X \ar[r]_-{g} & Z } $$

Box

这是一个盒子的标题

This is a box body.

This is a box footer.

这是一个盒子的标题

This is a box body.

适用于 alert.

这是一个盒子的标题

Box row 1 condense

Bow row 2 condense

Box row 3 condense

Math Environment

Theorem (Hilbert Basis)

如果 $R$ 是一个 Noetherian 环, 那么 $R[x]$ 也是 Noetherian 环

Lemma (Noether Normalization)

Let $k$ be a field. Let $A$ be a commutative $k$-algebra of finite type. There exists a non-negative integer $d$ and algebraically independent elements $y_1, \cdots, y_d$ in $A$ such that $A$ is finite over the polynomial ring $S = k[y_1, \cdots, y_d]$.

Proof. 证明过程. $\blacksquare$

Theorem

对于集合 $A, B$, 以下陈述等价:

$A = B$.
$A \subseteq B$ and $B \subseteq A$.

Footnote

Here’s a simple¹ footnote. With some additional text after it.² hahahha³. balabalabalalalasd⁴

Button

Image

Description List

Linux: Linux is a family of open-source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991, by Linus Torvalds.
macOS, OSX: macOS is a Unix operating system developed and marketed by Apple Inc. since 2001. It is the primary operating system for Apple's Mac computers. Within the market of desktop and laptop computers it is the second most widely used desktop OS, after Microsoft Windows and ahead of ChromeOS.

Cite [1, Theorem 5.2] cref Theorem (8c512b4)

hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah hahahahahah ↩︎
bala bala ↩︎
hahaha hahaha ↩︎

References

1: Robin Hartshorne. Algebraic Geometry. GTM volume 52.
2: David Eisenbud. Commutative Algebra with a View Toward Algebraic Geometry. GTM volume 150.