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Sep 20, 2023 at 20:22 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 20, 2023 at 20:13 comment added Iosif Pinelis @AaronHendrickson : Right. I specified $x_0$ to be $0$, but I did not have to (I was just pretty sure that any $x_0$ would work).
Sep 20, 2023 at 20:08 comment added Aaron Hendrickson Also worth noting that your derivation holds if you define $G$ as $G_{\theta_0,x_0}(\theta,x):=g(\theta,x)+g(\theta_0,x_0)-g(\theta,x_0)-g(\theta_0,x)$
Sep 20, 2023 at 20:04 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 20, 2023 at 19:58 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 20, 2023 at 19:35 comment added Iosif Pinelis I have not seen this reasoning elsewhere, but it should be used somewhere, as your question is quite natural and should be rather common.
Sep 20, 2023 at 17:22 vote accept Aaron Hendrickson
Sep 20, 2023 at 16:37 history answered Iosif Pinelis CC BY-SA 4.0