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xy.jax

LaTeX code testings
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Tolaso J Kos
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xy.jax

#1

Post by Tolaso J Kos » Thu Oct 03, 2019 9:01 am

$$\xymatrix{
U \ar@/_/[ddr]_y \ar@/^/[drr]^x
\ar@{.>}[dr]|-{(x,y)} \\
& X \times_Z Y \ar[d]^q \ar[r]_p
& X \ar[d]_f \\
& Y \ar[r]^g & Z }$$

$$\xymatrix{\boxed{\text{cases}}\ar@/^/[dr]!U|1\ar@/^/[drr]!U|2\ar@/^/[drrr]!U|3\ar@/^/[drrrr]!U|4\\&*+[F]\txt{x}&*+[F]\txt{x\\x}&*+[F-,]\txt{x\\x\\x}&*+ [F-:<8pt>]\txt{x\\x x \\x}}$$
Imagination is much more important than knowledge.
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Re: xy.jax

#2

Post by Tolaso J Kos » Thu Oct 03, 2019 9:02 am

$$\xymatrix{ && &j\ar@/_/@{->}[ddlll]\ar@/^/@{--}[ddddd] &a\ar@/^/[l]\ar@/_/@{--}[ddddd] &&& \\ \\y \ar@/_/[d]&&&&& &
&u\ar@/_/[uulll]\\x\ar@/_/[ddrrr]& &&&&& & v\ar@/_/ \\\\ &&& b\ar@/^/[r] & i \ar@/_/[uurrr]&&& }$$
Imagination is much more important than knowledge.
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Re: xy.jax

#3

Post by Tolaso J Kos » Thu Oct 03, 2019 9:03 am

$$\xymatrix{& {P_{1}\oplus P_{2}}\ar@{->}[dldd]|{\boxed{\pi_{1}}}\ar[drdd]^{\pi_{2}} & \\
& & \\
& M\ar[dl]_{k_{1}}\ar[dr]^{k_{2}}\ar@{=>}[dd]_f^g\ar@{-->}[uu]_{\theta} & \\
P_{1}\ar[dr]_{h_{1}} & & P_{2}\ar[dl]^{h_{2}} \\
{}& N & {}
}$$
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Re: xy.jax

#4

Post by Tolaso J Kos » Thu Oct 03, 2019 9:04 am

$$\xymatrix{ {} & {} & {} & P\ar[d]^h\ar@{-->}[ldd] & {} \\ 0 \ar[r] & \mathrm{Ker}g\ar[r]^j & A\ar[r]^g\ar@{-->}[d]_i & B\ar[r]\ar@{-->}[d]^{\theta} & 0 \\ {} & {} & P\ar@{~>}[r]_-{k} & P/\mathrm{Im}(i\circ j) & {}
}$$
Imagination is much more important than knowledge.
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Re: xy.jax

#5

Post by admin » Thu Oct 03, 2019 10:07 am

$$\xymatrix @C=0.5pc @R=2.5pc{H_{n-1}(S^{n-1})\ar[dr]_{i_{*}}\ar[rr]^{id} & & H_{n-1}(S^{n-1})\\
& H_{n-1}(D^{n})\ar[ur]_{f_{*}} & }$$
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