応用統計学

アブストラクト


多変数不等式の求解への試み, 87-104

井上隆勝

要旨

多変数関数に関する不等式を解く問題を取り上げる.多変数関数としては,多変数多項式とそれを分子,分母にもつ有理式を想定する.また連立不等式の場合を取り上げる.不等式求解の手順を示し,それを,数式処理言語Maxima上に関数on3ineq()として作成する.機能検証のための使用例を示す.

英文要旨

An Attempt at a Solution of a Multivariate Inequality on a Formula Processing Language

Takakatsu Inoue

A problem of solving an inequality involving a multivariate function is taken up. A multivariate function is assumed to be in the form of a multivariate polynomial or rational formula having a multivariate polynomial as its numerator and denominator. Simultaneous inequalities are also covered. A procedure for solving such an inequality is shown and complied as the function on3ineq( ) on the formula processing language Maxima. An example is shown for using it to verify its function.


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