But in the video itself, the signs on Croydon's North End are in English, the cyclist has no balaclava and Caz is giving him the thumbs up after a friendly chat.
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In a company-wide email, Spencer stated that he would stay on until the summer in an advisory role before, “starting the next chapter of my life”. For her part, Bond issued a statement on her LinkedIn account: “I’ve decided this is the right time for me to take my next step, both personally and professionally.” It was all extremely good natured, but its doubtful these airy missives tell the full tale.
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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While I'm not terribly picky when it comes to my basic MicroSD cards, I've historically had good luck with the SanDisk Extreme line, and they're generally right in the middle of the price range for their capacity. They also usually include a full-sized SD card adapter, which is helpful for compatibility and USB readers, as well as just helping you not lose the tiny memory card when it's out of its device. We recommend this card in our GoPro buying guide as well for their reliability and value.
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