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ϵ-PERTURBATION METHOD FOR VOLUME OF HYPERCUBES CLIPPED BY TWO OR THREE HYPERPLANES
( Eungchun Cho ),( Yunhi Cho ) 호남수학회 2021 호남수학학술지 Vol.43 No.4
The first author suggested an exact volume formula of the hypercubes [0, 1]<sup>n</sup> clipped by several hyperplanes expressed directly in terms of linear coefficients of the hyperplanes. However, it requires awkward assumptions to apply the formula to various situations. We suggest a concrete method to overcome those restrictions for two or three hyperplanes using ϵ-perturbation, which gives an exact value applicable for any kind of arrangement of hyperplanes with no consideration.