# Computing the volume is difficult

@article{Brny1986ComputingTV,
title={Computing the volume is difficult},
author={Imre B{\'a}r{\'a}ny and Zolt{\'a}n F{\"u}redi},
journal={Discrete \& Computational Geometry},
year={1986},
volume={2},
pages={319-326}
}
• Published 1 November 1986
• Mathematics
• Discrete & Computational Geometry
AbstractFor every polynomial time algorithm which gives an upper bound % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVC0xe9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Gqpi0x% c9q8qqaqFj0df9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaaie% aacaWF2bGaa83Baiaa-Xgaaaaaaa!3A2B! $$\overline {vol}$$ (K) and a lower boundvol(K) for the volume of a convex setK⊂Rd, the…
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