Are there other problems like random/drunk walk and cross-product which have significantly different solutions depending on the number of dimensions? | AskScience Blog

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Saturday, December 23, 2017

Are there other problems like random/drunk walk and cross-product which have significantly different solutions depending on the number of dimensions?

Are there other problems like random/drunk walk and cross-product which have significantly different solutions depending on the number of dimensions?


Are there other problems like random/drunk walk and cross-product which have significantly different solutions depending on the number of dimensions?

Posted: 22 Dec 2017 06:38 PM PST

A random walk (drunkard's walk) in one or two dimension will 100%* at some point return to its starting point. In three or more dimensions, a random walk is not guaranteed to return to its starting point.

Another example is the cross product, which is only defined in three and seven dimensions. There is no two-dimensional cross product.

Are there other problems whose solutions (or lack thereof) differ dramatically depending on how many dimensions the problem has?

*100% meaning "almost surely"

C.f. https://en.wikipedia.org/wiki/Random_walk and https://en.wikipedia.org/wiki/Cross_product

submitted by /u/TheNerdyBoy
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How does CRISPR or other gene editing go about overwriting cell information so they know to replicate the new type of cell?

Posted: 22 Dec 2017 06:58 PM PST

I don't know much about cellular biology but I was just reading a post on how they're doing CRISPR trials on lab rats to treat ALS and I started wondering how can they reprogram an entire organisms' cells to know to build themselves differently?

submitted by /u/VirtuallySober
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How do programmers (for hardware) test their code before just... installing it and running it?

Posted: 22 Dec 2017 07:31 PM PST

Why are some vaccinations live virus while some are not?

Posted: 22 Dec 2017 12:30 PM PST

Why are some vaccinations "required" to use the live attenuated virus rather than dead? Is there a biological reason why only some viruses are still effective dead, or do they both work but there is a preference for live virus in some cases?

I know that, for example, immunocompromised patients can not get a live-virus vaccine, which could leave them open to illness. Wouldn't it be better overall to use "dead" virus vaccinations in all cases to get more herd immunity coverage?

submitted by /u/kuuzo
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why are snowflakes flat, instead of 3D?

Posted: 22 Dec 2017 09:36 AM PST

Why is it that, when I leave a crystal lying in the sun for a long time, it loses its color?

Posted: 22 Dec 2017 02:32 PM PST

One time when I was buying some crystals, the person selling them said not to do this, because they'll lose the color, but never actually explained why.

submitted by /u/Meteorite12
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Why does our mouth produce more saliva when we gag or are about to throw up?

Posted: 22 Dec 2017 11:00 AM PST

Austin Eubanks, a Columbine survivor, says "In order to heal [emotional trauma], you have to feel it." Are there scientific studies that back up this assertion? Are there any exceptions to this rule?

Posted: 22 Dec 2017 09:17 AM PST

Austin's statement mirrors conventional wisdom regarding recovery from trauma, but I'd like to dig in further. What's the science on this? Are there scenarios where allowing oneself to experience and confront emotional trauma might be counterproductive?

What about timing? Austin confronted his grief after years of self-medicating his emotions. Could he have recovered sooner if he confronted his grief immediately after the shooting? Or is it possible that trauma victims might need time for grief to subside to a manageable level before confronting it? Can grief subside while one is medicating it? If you can't feel it, can you still heal in some way?

Would appreciate any links to empirical research regarding these questions!

submitted by /u/tacobellscannon
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Can torture victims develop conversion disorder to deal with the pain?

Posted: 22 Dec 2017 06:53 AM PST

Conversion disorder seems to produce psychogenic loss of sensation (various senses) under extreme stress. Why not as a defense mechanism, and can it be done at will for soldiers or a substitute for anesthesia in surgery?

submitted by /u/Flinch123
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Ignoring computer power, is there a maximum limit of the speed of the internet?

Posted: 22 Dec 2017 04:19 AM PST

Like with the fastest computer/router would we have theoretically infinite speeds?

submitted by /u/Pidiotpong
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Does taking antibiotics affect the gut bacteria in any way?

Posted: 22 Dec 2017 08:51 AM PST

As I understand it, taking antibiotics kill or inhibit the growth of bacteria. So, if I take antibiotics then it should also have an effect on my gut bacteria. Is this correct?

submitted by /u/FakeFeynman
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