User:UKoch/sandbox

US spelling is cancelation.

… – (until)


 * $$a\bmod b$$ vs. $$a+ b$$ and $$a\cdot b$$


 * $$a\equiv 1 \pmod b$$ and $$a\equiv 1 \mod b$$

The Jacobian matrix $$J$$ of $$F$$:
 * $$J=\begin{bmatrix} \dfrac{\partial F_1}{\partial x_1} & \cdots & \dfrac{\partial F_1}{\partial x_n} \\ \vdots & \ddots & \vdots \\ \dfrac{\partial F_m}{\partial x_1} & \cdots & \dfrac{\partial F_m}{\partial x_n} \end{bmatrix}. $$


 * $$\left( \begin{array}{c c c | c}

1 & 2 & 3 & 2\\ 1 & 1 & 1 & 2\\  3 & 3 & 1 & 0 \end{array} \right)$$

With :
 * $$f(x)= \begin{cases}

-1, & x<0 \\ 0, & x=0 \\ 1, & x>0 \end{cases}$$

Without :
 * $$f(x)=\left\{ \begin{array}{ll}

-1, & x<0 \\ 0, & x=0 \\ 1, & x>0 \end{array} \right.$$

This is a 20 in stick. It is 20 in long.

She is 5.25 ft tall.

Normal footnotes and footnotes with letters and bibliographical footnotes.

Similarity measures for sets/binary vectors from [ FSNLP, p. 299]

 * Matching coefficient: $$|X \cap Y|$$
 * Dice coefficient: $$\frac{2 |X \cap Y|}{|X| + |Y|}$$
 * Jaccard coefficient, also known as Tanimoto coefficient: $$\frac{|X \cap Y|}{|X \cup Y|}$$
 * Overlap coefficient: $$\frac{|X \cap Y|}{\min\{|X|, |Y|\}}$$
 * cosine: $$\frac{|X \cap Y|}{\sqrt{|X| \cdot |Y|}}$$

Insomnia
1:42-1:46:

Finch takes Burr's gun from her after knocking her unconscious.

[Finch kicks Dormer's gun out of his hand. Burr picks it up. After their conversation, she gives it back to Dormer.]

Dormer gives his gun to Burr and goes after Finch.

While fighting with Finch, Dormer grabs Finch's shotgun. Finch shoots Dormer with Burr's gun. Dormer shoots Finch with the shotgun.

Wikipedia in numbers

 * Current number of articles: 
 * Current number of pages: 
 * Current number of files: 
 * Current number of users: 
 * Current number of active users: 
 * Current number of admins: 

HTML, anyone?
First paragraph with a sub-paragraph inside. First paragraph again.

Nope!



de:Benutzer:UKoch/Spielwiese