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COVID-19 antivirals and vaccines (Megathread)
It makes sense, because remdesivir has been useful against other coronaviruses, SARS so far as I recall, or was it Ebola. Also because the molecule is similar to adenosine and seems able to trick a viral RNA polymerase to try to build it into new RNA strings where adenosine would have belonged, and thus blocking the further production of the viral RNA. On the other hand, the link states that "Gilead says", and Gilead is a (the?) manufacturer of remdesivir in the US. The available information about the study says that the decrease in lethality among test patients treated with remdesivir was not statistically significant (the shorter recovery times presumably were?) compared to the patients treated with placebo. And an earlier study of the same drug did not produce any determination. So maybe more tests are needed.
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Mile-wide Asteroid set to pass within 3.9m miles of Earth
Well, some of the dinosaurs. At 30,578 km/h even a collision with such a smallish size would pose concern. Since there apparently exists a good estimate of the mass of the asteroid that hit 65M years ago, is there also a good estimate of its velocity? After all the energy depends only linearly on mass, but quadratically on speed.
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Pangaea ?
Maybe. But it is gone now and can no longer answer.
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What are you listening to right now?
Darn it, you had to do that. I do not even click the video, and I am still going to hear Road to Nowhere inside my head for at least the rest of the day. I will take one hour off:
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What are you listening to right now?
And Speed of the Sound of Loneliness https://www.youtube.com/watch?v=eFvenjll1Bk&list=RDSJPX2SpcCqw&index=3
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What are you listening to right now?
John Prine is in heaven now, due to corona. https://www.youtube.com/watch?v=JKPDFQRmG_M Life changed in many ways during the past four weeks. This however is one news that gives me most sadness.
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How to define arc of definition?
From usual definitions it would be \(\pi/\infty = 0\) and \(0 \cdot \infty = 0,\) so that means \((\pi/\infty)\cdot \infty = 0.\) But it seems you are trying to treat \(\infty\) as if it were a natural number, and that has only small chance or working out. I do not think that you need to introduce \(\infty\) in the first place anyway.
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How to define arc of definition?
What do you mean by dividing by "infinity"? When extending the real numbers by new elements \(\{-\infty, +\infty\},\) and extending the usual arithmetic of real numbers to the new structure, usually you get \(0\) when you divide a real number by \(\infty\). Maybe your "infinity" is not the same as \(\infty\)?
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How to define arc of definition?
Dima, your guess is that there is some value of \(a\) for which the value of \(y\) does not change if we look at all possible value of \(t\), is that right? My guess is that this is not true. Meaning that for any value of \(a\) that we choose, there will be at least two different values of \(t\) that produce different values of \(y\). Do you agree that my description of our guesses is correct? Now, since you are the one who says that there exists a specific value of \(a\) which wins the argument for your case, do you not think that you should have to present this particular value of \(a\)? Are you waiting for someone who is smarter than you to do so?
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Typesetting equations with LaTeX: updated
I will try to figure out bold math symbols. Simply typing everything in bold: S^2 = (ct)^2 - x^2 - y^2 makes \(S^2 = (ct)^2 - x^2 - y^2 \) so doesn't do anything. Using bm: \bm{S^2 = (ct)^2 - x^2 - y^2} produces \(\bm{S^2 = (ct)^2 - x^2 - y^2}\). With mathbf: \mathbf{S^2 = (ct)^2 - x^2 - y^2} \(\mathbf{S^2 = (ct)^2 - x^2 - y^2} \) it works almost like it should, except for the missing italics. There is a mathrm, so why not \mathit{\mathbf{S^2 = (ct)^2 - x^2 - y^2} }? \(\mathit{\mathbf{S^2 = (ct)^2 - x^2 - y^2} }\). Nope. Or maybe \mathbf{\mathit{S^2 = (ct)^2 - x^2 - y^2} }: \(\mathbf{\mathit{S^2 = (ct)^2 - x^2 - y^2} }\). Interesting. And the slow approach \boldsymbol{S}^2 = (ct)^2 - x^2 - y^2: \(\boldsymbol{S}^2 = (ct)^2 - x^2 - y^2\). But \boldsymbol{S^2 = (ct)^2 - x^2 - y^2} \(\boldsymbol{S^2 = (ct)^2 - x^2 - y^2}\) actually nearly does it. Neat. But now the = and - are bold too. So it must be \boldsymbol{S}^2 = (\boldsymbol{ct})^2 - \boldsymbol{x}^2 - \boldsymbol{y}^2: \(\boldsymbol{S}^2 = (\boldsymbol{ct})^2 - \boldsymbol{x}^2 - \boldsymbol{y}^2\). Tedious but alright. Maybe \bs: \bs{S}^2 = (\bs{ct})^2 - \bs{x}^2 - \bs{y}^2? \(\bs{S}^2 = (\bs{ct})^2 - \bs{x}^2 - \bs{y}^2\). Well, then not. Done with this.
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Trump Connection to Hydroxychloroquine (split from Corona virus general questions mega thread)
To promote hydroxychloroquine as a remedy against coVid-19 does not seem stupid at all, provided you own a lot of stocks in hydroxychloroquine manufacturing companies. Same if you replace "hydroxychloroquine" by "magic beans" in the previous sentence.
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How to define arc of definition?
Why did you tell me that you know that \(a\) is not equal to \(\pi/6?\) I have to understand this first.
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An infinite and eternal universe
Sure, it depends on the theory you want to engage. A unit line segment has volume zero in the Euclidean plane, and measure one on the real line, and it has cardinality \(2^{\aleph_0}\) as a set of points in the real plane.
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An infinite and eternal universe
If I will not reach the end, then never. If I will, then, at whichever time that will be. So "vanishing", I get it now. At the end, if I reach it, I would have vanished to zero. But I am not sure that your image tells us much about places that are "infinitely small".
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An infinite and eternal universe
I only know Euclidean geometry and its various extensions that are locally Euclidean. The dimension of a point is zero here, and if you go to measure theory, then its size in terms of volume is zero as well.