English Dictionary

δ-box

名詞

(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called "the corner" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ.

日本語の意味

数学的解析において、δ-boxとは、各成分が半閉区間（下端は閉じ、上端は開いている区間）で構成されるデカルト積として表されるk-セルであり、各半閉区間の下端点が特定の点の座標（『コーナー』と呼ばれる）で固定され、各区間の長さ（すなわち測度）が与えられた値δに等しいものを指す。

Fix a point p and let B be a k-dimensional δ-box with corner at p; it is defined as the Cartesian product of k half-closed intervals, each closed at the coordinate of p, open at its supremum, and of length δ.

点pを固定し、Bをコーナーがpにあるk次元デルタ・ボックスとする。これは各区間の下限がコーナーの各座標に等しく、各区間の長さがδで、下端が閉じ上端が開いている半開区間k個の直積として定義される。

意味（1）

(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called "the corner" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ.

δ-boxes （ plural ）