Details

Autor(en) / Beteiligte

• Cho, Eungchun
• Cho, Yunhi

Titel

PERTURBATION METHOD FOR VOLUME OF HYPERCUBES CLIPPED BY TWO OR THREE HYPERPLANES

Ist Teil von

• Honam mathematical journal, 2021, Vol.43 (4), p.679-689

Erscheinungsjahr

2021

Quelle

EZB-FREE-00999 freely available EZB journals

Beschreibungen/Notizen

• The first author suggested an exact volume formula of the hypercubes [0, 1]n 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 -perturbation, which gives an exact value applicable for any kind of arrangement of hyperplanes with no consideration.