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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8420▌ posts · files
MMLU-Pro / 8420 / The root of the equation x = (1 / 2) + sin x by using the iteration method:…
Problem
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question
The root of the equation x = (1 / 2) + sin x by using the iteration method: x_{k+1} = 1/2 + sin(x_k), x_0 = 1 correct to o six decimals is x = 1.497300. Determine the number of iteration steps required to reach the root by linear iteration. If the Aitken ∆2-process is used after three approximations are available, how many iterations are required?category
math
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src
theoremQA-Math
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- upstream_id / Original problem ID
- 8420
- task_id
d523d66a-3f8c-5b09-9cdb-322e6b46399c- task_key
default--test--8420- task_revision_id
- 1
- config / split
- default / test
initial import