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SciCode / 70.5 / Write a function to compute the "star product" (hh)_(i)=d_(ijk)h^(j)h^(k) for a…

Problem

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step background

step description prompt

Write a function to compute the "star product"

(hh)_i = d_{ijk}h^jh^k

for a given input

i

, where

h

are the expansion coefficients defined in prompt () and

d_{ijk}

is the tensor defined in prompt (). Sum over all possible pairs of indices

j

and

k

from 1 to 8. Possible input index

i

also goes from 1 to 8.

Plain-text mathematical notation (without MathML)

Write a function to compute the "star product" (hh)_(i)=d_(ijk)h^(j)h^(k) for a given input i, where h are the expansion coefficients defined in prompt () and d_(ijk) is the tensor defined in prompt (). Sum over all possible pairs of indices j and k from 1 to 8. Possible input index i also goes from 1 to 8.

Original LaTeX notation

Write a function to compute the "star product" $(hh)_i = d_{ijk}h^jh^k$ for a given input $i$, where $h$ are the expansion coefficients defined in prompt () and $d_{ijk}$ is the tensor defined in prompt (). Sum over all possible pairs of indices $j$ and $k$ from 1 to 8. Possible input index $i$ also goes from 1 to 8.

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Source and history

upstream_id / Original problem ID: 70.5
task_id: f85e0cd6-6084-5999-8cb4-7c8b2022d282
task_key: dev--49c68bb1-a088-53d9-a366-0885b5d1b63b--70~2e5
task_revision_id: 3
config / split: / dev

Official source

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