Bitflipped: Your computer is a cosmic ray detector (2018)

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Where did Wordle come from?Originally created by engineer Josh Wardle as a gift for his partner, Wordle rapidly spread to become an international phenomenon, with thousands of people around the globe playing every day. Alternate Wordle versions created by fans also sprang up, including battle royale Squabble, music identification game Heardle, and variations like Dordle and Quordle that make you guess multiple words at once.

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给药方式的颠覆或许是更关键的优势。Vosoritide需每日皮下注射,而Infigratinib是口服小分子药物,这对于需要长期治疗的儿童来说,依从性和生活质量的影响十分显著。

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;

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但杨植麟并没有动摇,其提出要集中资源投入基础算法与新模型 K2,不再追逐“烧钱换用户”,而是试图用“技术换用户”。

Lex: FT's flagship investment column。体育直播对此有专业解读