Psychology study shows how a "fixed mindset" helps socially anxious people. Findings indicate that believing other people form stable and unchanging opinions tends to make social interactions feel much less demanding.

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我国的制造业门类非常齐全,现在要努力的,就是全面提升,过去的中低端要向上走,布局高端。高质量发展就要体现在这里。任何时候中国都不能缺少制造业。

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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;

French AA gaming developer and accessory manufacturer Nacon has filed for insolvency after its majority shareholder Bigben failed to make a loan repayment, the company said in a press release. "To date, the company reports available assets do not allow it to meet its liabilities," Nacon wrote. The objective with insolvency, it said, was to allow "continued operation, protect employees and maintain jobs while renegotiating with its creditors."

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这些城市不仅与成都开展多元文化的交融互鉴,更为成都在经济发展、科技创新、教育合作等领域注入了蓬勃生机与强劲动能。从跨国企业“成都园区行”的务实对接,到“蓉欧产业对话”的科创共鸣,再到第二届“一带一路”科技交流大会上的脑科学前沿探讨……携手,孕育着合作的契机;交流,为城市发展积蓄澎湃动力。