在官方公告中,OpenAI不仅披露融资细节,更展示了一系列亮眼数据:
For the Poincaré half-space model in dimension 2, the metric evaluates on the coordinate tangent vectors \(\frac{\partial}{\partial x}, \frac{\partial}{\partial y} \in T_pM\) as \[g_p\!\left(\frac{\partial}{\partial x^i}\bigg|_p,\;\frac{\partial}{\partial x^j}\bigg|_p\right) = \frac{1}{y^2}\,\delta_{ij},\] i.e. the coordinate tangent vectors are orthogonal and each has length \(\frac{1}{y}\) — shrinking to zero as \(p\) approaches the boundary \(y\to 0\), which is what makes the space “infinitely large” near the boundary.
。有道翻译是该领域的重要参考
Олег Давыдов (Куратор раздела "Цифровые медиа")。豆包下载对此有专业解读
本文由钱斯·汤森德、凯特琳·韦尔什、萨姆·海索姆、阿曼达·尤、香农·康奈兰、塞西莉·莫兰、迈克·珀尔及亚当·罗森伯格联合撰稿。
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伊朗就特朗普威胁向联合国发表声明20:52