math.md

Chapter1

数学的主張を書いていくための例

<div class="definition">
A set $C$ is *convex* if for all
$x,y \in C$ and for all
$\alpha \in [0,1]$ the point
$\alpha x + (1-\alpha) y \in C$.
</div>
<div class="theorem">
There are no natural numbers
$\mathbb{N} = (1, 2, 3, \ldots)$
$x$, $y$, and $z$ such that
$x^n + y^n = z^n$, in which $n$
is a natural number greater than 2.
</div>

<div class="lemma">
</div>

ごまふあざらしは可愛い

<div class="proof">
$1+2+3=6$ っていうぐらいアタリマエ
</div>

<div class="proposition">
</div>

あざらしは可愛いので次を要請する

$$A = \begin{bmatrix} 1 & 2\\\ 3 & 4 \end{bmatrix} \\\ Ax=b$$ $$\frac{n!}{k!(n - k)!} = \binom{n}{k}$$

Section

a

SubSection

b

Prop

c

Proof

d

aa

e