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/sci/ - Science & Math

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>> No.16020583 [View]
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16020583

You know, although I could get the gist of it and do physics, I was never 100% *exactly* sure how the partial derivatives are the basis for the tangent space. Now I've been looking into it so that I might become 100% *exactly* sure, but the result of my investigation was that the partials aren't exactly the basis for the tangent space. They are the basis for an isomorphic vector space. That's why I was never able to obtain a clear expression in the form "partial mu equals e hat mu." I am glad that I know this now, and I will be glad to put a detailed exposition of the isomorphism into my manuscript in place of the detailed exposition of an equality that I had originally intended.

>> No.15929237 [DELETED]  [View]
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15929237

>>15928516
>an idea that looks convincing but is actually completely incorrect is far more dangerous than an unconvincing idea that is close to correct.

>> No.15861847 [View]
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15861847

>>15861354

>> No.15855668 [View]
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15855668

>> No.15661340 [View]
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15661340

>>15659537
>What matters is to get a proof right and to be remembered for the proof, not to be fellated by some Swedes or Norwegians onstage.

>> No.15272351 [View]
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15272351

>>15272315
>Go ahead and post the IQ test Einstein took.

>> No.15176687 [View]
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15176687

>>15176485
Quadrature.

>> No.6494893 [View]
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6494893

>>6494886
The fact that I can imagine it.

>> No.6115696 [View]
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6115696

>>6115042
Time and Space are linked the same way that matter and energy are linked. Now time moves forward the universe expands.

What happens when the universe expands all that it can and stops? It begins to shrink into a big crunch. Time will start going in reverse because space and time are linked. In fact the universe could be going in reverse right at this moment and there would be no way for anyone to observe this scientifically.

>> No.5996873 [View]
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5996873

Consider this amazing possibility inspired by the Trek Transporter,

If you take the atoms of a human apart and have them hover in space somewhere you temporarily killed that person right? You may even use those same atoms and make a cat, or a blob of something.

Then if you take those same atoms and put them back together exactly the same way, is that person the same? It will be the same to him!

Now if you take completely different atoms and use the same recording from the initial disassembly, won't you make an identical human?

Now, if you go to deep sleep every night, don't your 'atoms' temporarily suspend consciousness? Then aren't you like the first person being disassembled? Then when you wake up aren't you another person that just happens to have the same luggage of memories on its memory banks?

I think all these are right and what may make them seem bizarre and not plain silly obvious is that we have a hard time accepting that we are nothing but mere, simply, obviously, machines.

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