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A Riemannian metric on a smooth manifold \(M\) is a family of inner products \[g_p : T_pM \times T_pM \;\longrightarrow\; \mathbb{R}, \qquad p \in M,\] varying smoothly in \(p\), such that each \(g_p\) is symmetric and positive-definite. In local coordinates the metric is completely determined by its values on basis tangent vectors: \[g_{ij}(p) \;:=\; g_p\!\left(\frac{\partial}{\partial x^i}\bigg|_p,\; \frac{\partial}{\partial x^j}\bigg|_p\right), \qquad g_{ij} = g_{ji},\] with the matrix \((g_{ij}(p))\) positive-definite at every point. The length of a tangent vector \(v = \sum_i v^i \frac{\partial}{\partial x^i}\in T_pM\) is then \(\|v\|_g = \sqrt{\sum_{i,j} g_{ij}(p)\, v^i v^j}\).
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3月3日，据报道，Meta Platforms公司创始人马克·扎克伯格及其妻子以1.7亿美元购得迈阿密“亿万富豪避难所”——比斯坎湾私人岛屿上的一座豪宅。这栋房产创下了美国佛罗里达州迈阿密-戴德县最昂贵住宅交易纪录。此前有消息称，美国加州正推动一项公投，提议向拥有10亿美元以上的富豪征收一次性的5%“亿万富豪税”，这项征税提案将针对约200名身价10亿美元以上的加州居民。目前佛罗里达州则未有相关税收。，详情可参考搜狗输入法2026
Также в Мысхако повреждена линия наружного освещения, полностью восстановить ее планируют в течение нескольких дней.