请帮忙翻译一下这些数学专有名词 谁能帮忙翻译一下这些专有名词

\u82f1\u8bed\u9ad8\u624b\u5e2e\u5fd9\u7ffb\u8bd1\u4e00\u4e0b\u8fd9\u5c0f\u6bb5\u6587\u5b57\u3002\u6700\u597d\u662f\u6570\u5b66\u4e13\u4e1a\u7684\u3002\u7528\u4e13\u4e1a\u672f\u8bed\u7ffb\u8bd1\u554a\u3002\u3002\u8c22\u8c22\u4e86

Roger Lathan \u6559\u6388 2011 \u5e74\u79cb
10 \u6708 31 \u65e5\uff08\u5468\u4e00\uff09\u4e0b\u5348\u4e00\u70b9
\u4ea4\u81f3 HNE - B 15
\u6bcf\u9898 50 \u5206\uff0c\u603b\u5206 100 \u5206\u3002

1.\u5df2\u77e5 f\uff1aR- R,\u8bf7\u8bc1\u660e\u51f9\u51f8\u6027\u662f\u62df\u51f9\u7684\u5145\u5206\u975e\u5fc5\u8981\u6761\u4ef6\u3002
2.\u8bbe f\uff1aR - R \u662f C 1 \u548c\u51f9\u51fd\u6570\uff0c\u8bf7\u8bc1\u660e x \uff08\uff1f\uff09\u5728 f\uff08\uff1f\uff09\uff08x\uff1f\uff09=0 \u65f6\u662f f \u7684\u5168\u57df\u6700\u5927\u503c\u3002

\uff1f\u90e8\u5206\u770b\u4e0d\u6e05

\u5954\u5954\u65cf\u597d\u50cf\u5c31\u662f\u5f00\u5954\u5954\u8f66\u7684\u4eba\u5427~\u6c57~~

convex geometry 立体几何
Caratheodory's Theorem 卡吉奥多定理
convex functions 凸函数
Sublinearity 次线性
Minkowski sums 明可夫斯基和
Homothety and Rogers's Theorem

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    绛旓細The thought of invariability in variability
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