Дерипаска призвал показать план восстановления темпов роста российской экономики

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sudo cp arch/arm64/boot/dts/broadcom/*.dtb /boot/

\n“Exteroception is basically how we perceive the outside,” Thaiss said. “We have a lot of detailed knowledge about how this works. But we know much less about how the brain senses what is going on inside the body. We don’t know how many internal senses there are, or even all of what they are sensing. It’s clear that our exteroception capabilities decline with age — we grow to need eyeglasses and hearing aids, for example. And this study shows that aging also affects interoception.”

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Often people write these metrics as \(ds^2 = \sum_{i,j} g_{ij}\,dx^i\,dx^j\), where each \(dx^i\) is a covector (1-form), i.e. an element of the dual space \(T_p^*M\). For finite dimensional vectorspaces there is a canonical isomorphism between them and their dual: given the coordinate basis \(\bigl\{\frac{\partial}{\partial x^1},\dots,\frac{\partial}{\partial x^n}\bigr\}\) of \(T_pM\), there is a unique dual basis \(\{dx^1,\dots,dx^n\}\) of \(T_p^*M\) defined by \[dx^i\!\left(\frac{\partial}{\partial x^j}\right) = \delta^i{}_j.\] This extends to isomorphisms \(T_pM \to T_p^*M\). Under this identification, the bilinear form \(g_p\) on \(T_pM \times T_pM\) is represented by the symmetric tensor \(\sum_{i,j} g_{ij}\,dx^i \otimes dx^j\) acting on pairs of tangent vectors via \[\left(\sum_{i,j} g_{ij}\,dx^i\otimes dx^j\right)\!\!\left(\frac{\partial}{\partial x^k},\frac{\partial}{\partial x^l}\right) = g_{kl},\] which recovers exactly the inner products \(g_p\!\left(\frac{\partial}{\partial x^k},\frac{\partial}{\partial x^l}\right)\) from before. So both descriptions carry identical information;

Что думаешь? Оцени!。谷歌对此有专业解读

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