XyJax v3 Test Page

XyJax version 3 Test Page

$A = B B C$ $40^{\circ} 60^{\circ} 80^{\circ} Su Mo Tu We Th Fr Sa$ $Rational points on the elliptic curve: x^{3} + y^{3} = 7 . 1 - 1 1 - 1 P - P - 2 P 2 P 3 P - 3 P \infty \infty \infty$ $A B$ $A A B C D E F B$ $\begin{array}{clcll} Impl & Syntax & Action \\ ✓ & ⟨ xy env ⟩ & \to & \begin{xy} ⟨ pos ⟩ ⟨ decor ⟩ \end{xy} & c \leftarrow ⟨ coord ⟩ \\ ✓ & ⟨ pos ⟩ & \to & ⟨ coord ⟩ & c \leftarrow ⟨ coord ⟩ \\ ✓ & | & ⟨ pos ⟩ + ⟨ coord ⟩ & c \leftarrow ⟨ pos ⟩ + ⟨ coord ⟩^{3 a} \\ ✓ & | & ⟨ pos ⟩ - ⟨ coord ⟩ & c \leftarrow ⟨ pos ⟩ - ⟨ coord ⟩^{3 a} \\ ✓ & | & ⟨ pos ⟩! ⟨ coord ⟩ & c \leftarrow ⟨ pos ⟩ then skew^{3 b} c by ⟨ coord ⟩ \\ ✓ & | & ⟨ pos ⟩ . ⟨ coord ⟩ & c \leftarrow ⟨ pos ⟩ but also covering^{3 c} ⟨ coord ⟩ \\ ✓ & | & ⟨ pos ⟩, ⟨ coord ⟩ & c \leftarrow ⟨ pos ⟩ then c \leftarrow ⟨ coord ⟩ \end{array}$ $A (f_{1})_{*} x_{1} a (f_{1})_{*} b_{1} (f_{2})_{*} x_{2} (f_{2})_{*} b_{2} (f_{1})_{*} x_{1}^{'} a^{'} (f_{2})_{*} x_{2}^{'} B$ $A R U a F B$ $A B$ $A B$ $A B$ $A B$ $R r_{1} r_{2} S q f S / R \bar{f} T$ $0 Ker f Ker a Ker b Ker c d A f a B b C c 0 0 A^{'} B^{'} g^{'} C^{'} Coker a Coker b Coker c Coker g^{'} 0$ $c a \frac{x}{y} \underset{―}{\underset{―}{g}} \hat{\hat{\overset{―}{\overset{―}{h^{2}}}}} c a \frac{x}{y} \underset{―}{\underset{―}{g}} \hat{\hat{\overset{―}{\overset{―}{h^{2}}}}}$ $A A A A A A \int \int \int = = = \int \int \int \int A B C \int A B C \int A B C$ $x f^{'} f α f^{″} α^{'} y = x f f^{″} α^{'} \cdot α y$ $A f g α B A f α h β g B A f α h β g B Clouds e v a p o l a t i o n p r e c i p i t a t i o n H_{2} O Oceans P M M^{'} f S P f S FUn ? \circ ∙ & gaMES$ $A f g h B f α h β g C A f α h β g B P M M^{'} f S P f S P^{'} f P f S f R P f α S f β R P f g S$ $33311123 1’ 1 2’ 33313311331323313363133312331313613331333113313311313133121212112$ $x α y β z γ 00 u v w$ $: r o o t ∙ ∙ 1$ $A \times B / A / B B \times A A B \times B \times A$ $A B C D A^{'} B^{'} C^{'} D^{'}$ $C a f g \circ f b g F F a F f F (g \circ f) = F g \circ F f F b F g D c F F c$ $start 0 b a 1 b a 2 b a 3 b$ $ζ θ ψ ξ ϕ η P_{F} ζ t x P_{F} ξ P_{F} η$ $U y ⟨ x, y ⟩ x X \times_{Z} Y q p X f Y g Z$ $A B C$ $A B C \int_{0}^{\infty} A B C \int_{0}^{\infty} A$ $A B C B A C D E C & D E D {&} \int_{0}^{\infty} ABC A B C$ $@ * [F -] @ * [o] A B C B A C D E C & D E D {&} ABC A B C D A B C$ $start 0123 b a b a b a b$ $a$ $\circ ∙$ $↑$ $↑ ↓$ $f ↑ ↓$ $x y z$ $↑ ↓$ $\circ ∙$ $0 x 1230 a 123$ $O x y y = f (x) x_{n + 1} = x_{n} - \frac{f (x_{n})}{f^{'} (x_{n})} x_{0} x_{1} f (x_{0}) y = f (x_{0}) + f^{'} (x_{0}) (x - x_{0}) x_{2} f (x_{1}) y = f (x_{1}) + f^{'} (x_{1}) (x - x_{1})$ $0 a 123$ Xy-picの例 $(f)$ です。 Xy-picの例 $()$ です。 $\begin{matrix} abc \\ defghi \end{matrix}$ $O$ $abc$ $A B$ $aliceblue antiquewhite aqua$ $text with background bold white on black$ $A B C U R R D R D D L L U L U$ $A B$ $A B$ $\frm{_}} \frm{_)} \frm{^}} \frm{^)} \frm{{} \frm{(} \frm{}} \frm{)}$ $\frm{} \frm{-} \frm{=} \frm{--} \frm{,} \frm{o} \frm{oo} \frm{e} \frm{ee} \frm{*} \frm{*} \frm{*} \frm{*} \frm{.} \frm<8pt>{-} \frm<8pt>{=} \frm{o-} \frm<3pt>{,} \frm<8pt>{o} \frm<8pt>{oo} \frm<20pt,8pt>{e} \frm<20pt,8pt>{ee} \frm{**} \frm{**} \frm{**} \frm{**} \frm<20pt>{.} \frm<20pt>{-} \frm<20pt>{=} \frm<20pt>{--} \frm{-,} \frm{.o} \frm{-o} \frm{.e} \frm{-e} \frm<6pt>{*} \frm<6pt>{*} \frm<6pt>{*} \frm<6pt>{*}$ $p c$ $p c 2$ $+ +$ $0123 s t a r t a b b b a b a$ $O A$ $base A a B b C c d e$ $A$ $01 A 23$ $0321$ $A$ $+ + \times$ $+ + \times$ $\times O O O \otimes \times O O O \otimes$ $A B$ $A B C$ $\otimes$ $P$ $\times o$ $A B C D \times \otimes A B C D \times \times$ $x f (x) f f^{- 1} i d$ $+ \times A B \oplus A B C D \oplus A B C D \oplus A B C D \oplus A B C D \times \otimes A B C D \otimes$ $\begin{xy} (0,0)*{}ABC} \end{xy}$ $A B C X Y Z ♡ あいう .$ $A B C X \otimes Y \int_{0}^{\infty} e^{- x^{2} / 2} d x η ϕ x y$ $A B \oplus x \oplus x^{'} \otimes Q P$ $A B C D E F$ $A B$ $A B$ $313 1^{'} 1 2^{'} 12331 33113313 331133233 331163332 331163133 33113331 3311331 331133121212112$ $∙ ∙ ∙ ∙$