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Display information for equation id:math.233568.10 on revision:233568
* Page found: Noncrossing partition (eq math.233568.10)
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Hash: 3cc5a131e96b8fd773c6f0a91fef6dd3
TeX (original user input):
\phi(a^n) = \sum_{\pi\in\text{NC}(n)} \prod_{j} k_j^{N_j(\pi)}
TeX (checked):
\phi (a^{n})=\sum _{\pi \in {\text{NC}}(n)}\prod _{j}k_{j}^{N_{j}(\pi )}
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<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\phi(a^{n})=\sum_{{\pi\in{\text{NC}}(n)}}\prod_{{j}}k_{j}^{{N_{j%
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Translations to Computer Algebra Systems
Translation to Maple
In Maple: phi*((a)^(n))sum(product(k(k[j])^(N[j]*(pi)), = - infinity..infinity), pi in N*C)
Information about the conversion process:
\phi: Could be the golden ratio == golden mean == golden section == extreme and mean ratio == medial section == divine proportion == divine section == golden proportion == golden cut == golden number.
But this system don't know how to translate it as a constant. It was translated as a general letter.
\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.
But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.
Translation to Mathematica
In Mathematica: \[Phi]*((a)^(n))Sum[Product[k(Subscript[k, j])^(Subscript[N, j]*(\[Pi])), {, - Infinity, Infinity}], {\[Pi], N*C}]
Information about the conversion process:
\phi: Could be the golden ratio == golden mean == golden section == extreme and mean ratio == medial section == divine proportion == divine section == golden proportion == golden cut == golden number.
But this system don't know how to translate it as a constant. It was translated as a general letter.
\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.
But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.
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