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xy-pic examples (2)
https://www.mathimatikoi.org/forum/viewtopic.php?f=26&t=377
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Author:  Tolaso J Kos [ Sat Jan 23, 2016 8:15 am ]
Post subject:  xy-pic examples (2)

  1. $$\xymatrix{{\circ}\ar@/_/[d] \ar@/^/[rr]\ar@/_/[drr]& {\circ} & {\circ} \\{\circ}\ar@{..}[r] & {\circ}\ar@{..>}[u] & {\circ}\ar@3{<->}[u]}$$
  2. $$\xymatrix{ 0 \ar@{-->}[r] & A\ar@{-->}[r]^f\ar@{.>}[d]^{\alpha} & B\ar@{=>}[r]^g\ar@{-->}[d]^{\beta} & C\ar@{-}[r]|h\ar@{-->}[d]^{\gamma} & D\ar@{~>}[r] & 0 \\ 0 \ar@{~>}[r] & A^{'}\ar@{=>}[r]_{f^{'}} & B^{'}\ar@{-->}[r]_{g^{'}} & C^{'}\ar@{:>}[r]_{h^{'}}& D^{'} & {}
    }$$
  3. $$\xymatrix{ {} & {} & {} & P\ar[d]^h\ar@{-->}[ldd] & {} \\ 0 \ar[r] & \mathrm{Ker}g\ar[r]^j & A\ar[r]^g\ar@{-->}[d]_i & B\ar[r]\ar@{-->}[d]^{\theta} & 0 \\ {} & {} & P\ar@{~>}[r]_-{k} & P/\mathrm{Im}(i\circ j) & {}
    }$$
  4. $$\xymatrix{& {P_{1}\oplus P_{2}}\ar@{->}[dldd]|{\boxed{\pi_{1}}}\ar[drdd]^{\pi_{2}} & \\
    & & \\
    & M\ar[dl]_{k_{1}}\ar[dr]^{k_{2}}\ar@{=>}[dd]_f^g\ar@{-->}[uu]_{\theta} & \\
    P_{1}\ar[dr]_{h_{1}} & & P_{2}\ar[dl]^{h_{2}} \\
    {}& N & {}
    }$$
  5. $$\xymatrix{ *+++++[o][F]{\displaystyle\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}} }$$

Why is it so nice? Too bad some codes are not supported!

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