Chapter1

数学的主張を書いていくための例

A set $C$ is *convex* if for all $x,y \in C$ and for all $\alpha \in [0,1]$ the point $\alpha x + (1-\alpha) y \in C$.
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.

ごまふあざらしは可愛い

$1+2+3=6$ っていうぐらいアタリマエ

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