English Dictionary

cross-polytope

名詞

(geometry) A polytope that is the convex hull of points, two on each Cartesian axis of a Euclidean space, that are equidistant from the origin; an orthoplex.

日本語の意味

（幾何学）ユークリッド空間の各直交座標軸上にある、原点から等距離に位置する2点（各軸ごとに存在）の集合の凸包として定義される多胞体。別名オーソプレックスと呼ばれる。

In high-dimensional optimization, researchers often examine the properties of the cross-polytope to understand sparse signal recovery.

高次元最適化では、研究者たちはしばしばスパース信号復元を理解するために、各座標軸上に原点から等距離にある点がそれぞれ2つずつある点集合の凸包の性質を調べる。

意味（1）

(geometry) A polytope that is the convex hull of points, two on each Cartesian axis of a Euclidean space, that are equidistant from the origin; an orthoplex.

The case p = 1, which is actually important to us, is illustrated in Figure 1.14; we are looking at the intersection of a cross-polytope with the probability simplex.

cross-polytopes （ plural ）