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        "quote": "欧几里得空间 $\\mathbb { R } ^ { n }$ 中的点集 $\\big \\{ \\mathbf { x } _ { 0 } , ~ \\mathbf { x } _ { 1 } , \\ldots , \\mathbf { x } _ { p } \\big \\}$ 称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:6a3fc859-7a0d-492e-ba44-50b4ddc0f20f\" data-concept-route=\"/concept-identities#concept-6a3fc859-7a0d-492e-ba44-50b4ddc0f20f\" id=\"first-7e0cc41005137aad4cb0-zh\">独立点组(independent points)</u>，如果 $p$ 个向量 ${ \\bf x } _ { i } - { \\bf x } _ { 0 } ( i = 1 , \\ldots , p )$ 线性无关。以这些点为顶点的 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0\" data-concept-route=\"/concept-identities#concept-b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0\" id=\"first-4c1c4c7074ce818364b5-zh\">有序单纯形(ordered simplex)</u> $p$-单纯形由它们的凸包组成，",
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        "quote": "A set of points $\\big \\{ \\mathbf { x } _ { 0 } , ~ \\mathbf { x } _ { 1 } , \\ldots , \\mathbf { x } _ { p } \\big \\}$ in Euclidean space $\\mathbb { R } ^ { n }$ is said to be <u class=\"concept-term\" data-concept-identity=\"urn:uuid:6a3fc859-7a0d-492e-ba44-50b4ddc0f20f\" data-concept-route=\"/concept-identities#concept-6a3fc859-7a0d-492e-ba44-50b4ddc0f20f\" id=\"first-9665e14337809b625e75-en\">independent</u> if the $p$ vectors ${ \\bf x } _ { i } - { \\bf x } _ { 0 } ( i = 1 , \\ldots , p )$ are linearly independent. The <u class=\"concept-term\" data-concept-identity=\"urn:uuid:b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0\" data-concept-route=\"/concept-identities#concept-b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0\" id=\"first-8d35a6f6df64572c236c-en\">ordered</u> $p$-simplex with these points as vertices consists of their convex hull,",
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