zkom
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Posts posted by zkom
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Here also the bicyclist are like the lowest cast in the traffic hierarchy by law and the pedestrians are the highest. Cars are somewhere in the middle. But still most car drivers seem to let bicycles pass even though technically they don't have to. It happens to me a lot when cycling, I stop to let the cars pass but some car stops and the driver starts to wave to signal me to pass. Then all the others stop also. It's nice I guess but probably they just don't know that they don't have to let me pass.
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Well, something like that and generally acting like your parents are going to be providing all the food etc while you just lazily hang around with your headphones on which you wouldn't do if you were visiting anybody else.Is there some psychological term for the thing when you are around some people you've known for a long time and your personality and behavior seems to regress back in time?
For example, normally you are being adult just fine, but when meeting your parents and siblings you regress to being your teenage self.
like: fuck you i won`t tidy my bedroom ! ?
Also can happen with some friends and former co-workers. Kind of your personality regresses back to state it was when you last saw them which might have been 15 years ago.
Hmm..
The weirdest thing was seeing my mother playing music just because it pissed off my grandmother. Something she wouldn't do with other people. Total teenage daughter vs mother dynamic.
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Is there some psychological term for the thing when you are around some people you've known for a long time and your personality and behavior seems to regress back in time?
For example, normally you are being adult just fine, but when meeting your parents and siblings you regress to being your teenage self.
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sprite is actually better than coke...
I don't like Pepsi Max alone but it goes well combined with espresso. Like instead of glass of water with espresso have a glass of Pepsi Max. They seem to complement each other perfectly. I tried also with different Cokes and Dr Pepper but they don't work nearly as well. Weird.
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The best part is the guy falling over in the background
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The online dating is going well
:^)
Projecting much?
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Drank too much coffee today and started to feel sort of dizzy, giddy and hyperactive.
Now counterbalancing with a beer..
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Interesting, what examples are there where 0^0 would be 0 or 1?
Well, generally speaking, if you consider a continuous real-valued functions like 0^x and x^0 and their limits at x=0, you would get either 0 (0^x) or 1 (x^0). So basically in the case of continuous real function the value is usually considered as the limit of the function at 0^0. So for example if you had a real valued function (2x)^(3x) the limit at x=0 would be 1 so an engineer would probably use that value.
In discrete mathematics it often makes more sense to value it as 1. If you consider that 5^0=1 because 5^n = 1*5*..*5 where the number of 5s in the multiplication is n, and then 5^0 = 1 because there are no 5s. Then 0^n = 1*0*..*0 and 0^0=1.
On the other hand if you have a system that has m parts that have n possible states each, the total number of possible states would be n^m. If every part has 0 (n=0) possible states then 0 parts (m=0) would have still have 0 possible states and m^n=0^0=0, unless.. you consider the stateless state a state.
Quickly checking.. Google gives 0^0=1. Python gives 0**0=1, also math.pow(0,0)=1. Chrome JavaScript console gives 0**0=1. WolframAlpha, which is more "orthodox" gives "undefined". So, maybe 1 is the most common value in programming languages.
tl;dr: Whatever makes the most sense in the given use case.
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vague emotional problem: every time i go out dancing random ppl want to dance with me because i'm good at it, but dancefloors also seem to be the place where my social anxiety ramps up the most. so i'll just spend the entire night dancing intensely while avoiding eye contact & mostly ignoring anyone who approaches me. tbh this seems pretty idm now that i think about it
actual problem: i broke a mason jar & got a piece of glass in my foot just now & now there's blood all over the floor
combine these
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And this is quite an incredible cover from 1979..
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https://www.youtube.com/watch?v=Mizo55muY2I
It's quite incredible that this was on singles chart in top position in UK in 19-fucking-68. Also that performance from TOTP, lol. Must have freaked out bunch of people back then.
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The basic problem is that it's a divergent series so it does not have any definite sum since it does not converge toward any value.
For convergence you should be able to pick a value arbitrary close to -1/12 so that a finite subsum of the series 1+2+3+4+...would be closer to than the picked value and then adding any amount of values from the rest of the series wouldn't move the sum further away from.
So, let's see the series 1/2+1/4+1/8+1/16+...=1: We can pick a value arbitrary close to 1, like 0.99. There's now a finite subsum 1/2+1/4+1/8+1/16+1/32+1/64+1/128=127/128 that is closer to 1 than 0.99 and adding up values from the rest of the series to that, for example 127/128+1/256+1/512=511/512, will only get us closer to 1.
Going back to the original series in question, I should be able to pick a value like 0 that is 1/12 away from the -1/12. Now how do I pick a finite subsum of 1+2+3+4+.. that is closer than 0 to -1/12? Any finite subsum like 1+4+6=10 or 1+2+3+..+100=5050 is higher than 0 and definitely further away from -1/12 than 0. Adding any number of values from the rest of the series is going to move the sum even further away from it. The series does not converge towards -1/12 or any other value.
I completely understand this reasoning. By all means the result should be divergent, but the fun trickery presented, in more than one way, into getting -1/12 is too amusing to ignore despite how illogical it seems! I'm too ignorant to profess some deeper work happening, but -1/12 being applied in quantum physics gives the result SOME clout, doesn't it?
Well, in pure mathematical sense it's still provably wrong. You need a particular physical model and twist it a bit to get that particular result.
There are more common cases where the strict mathematical definition is not used in real life problems. For example in mathematics 0^0 is undefined, but sometimes in engineering and physics it's defined as 0 or 1 depending on what's practical. But mathematically 0^0 is still strictly undefined.
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The basic problem is that it's a divergent series so it does not have any definite sum since it does not converge toward any value.
For convergence you should be able to pick a value arbitrary close to -1/12 so that a finite subsum of the series 1+2+3+4+...would be closer to than the picked value and then adding any amount of values from the rest of the series wouldn't move the sum further away from.
So, let's see the series 1/2+1/4+1/8+1/16+...=1: We can pick a value arbitrary close to 1, like 0.99. There's now a finite subsum 1/2+1/4+1/8+1/16+1/32+1/64+1/128=127/128 that is closer to 1 than 0.99 and adding up values from the rest of the series to that, for example 127/128+1/256+1/512=511/512, will only get us closer to 1.
Going back to the original series in question, I should be able to pick a value like 0 that is 1/12 away from the -1/12. Now how do I pick a finite subsum of 1+2+3+4+.. that is closer than 0 to -1/12? Any finite subsum like 1+4+6=10 or 1+2+3+..+100=5050 is higher than 0 and definitely further away from -1/12 than 0. Adding any number of values from the rest of the series is going to move the sum even further away from it. The series does not converge towards -1/12 or any other value.
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Yeah, that 1+2+3+... =-1/12 has been an example in a bunch of books how to NOT to do infinite series.
The simple fact that integer set is closed under addition (adding integers together can only produce integers) already tells you it's dead wrong. The second hint is that the series definitely doesn't converge.
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I have a master's in applied mathematics and unfinished from theoretical. Sadly I haven't been able to use mathematics much in my work in the last couple of years except for occasionally solving some matrix equations for my coworkers. This might get fixed soon though.
Anyway, I really love mathematics. I tried to read some metalogic also but been stuck with a book on it for quite some time now. Philosophy of mathematics is also very interesting.
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On a third day of fever after a yellow fever shot. Or actually my body temperature keeps going up and down. When it goes up I start feeling cold and when it suddenly plummets I get super sweaty.. Still better than catching the actual disease I guess.
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I quit my job and now planning to be a sort of location independent software freelancer / digital nomad / whatever. Today was my last day at work.
After I finish sorting out things here the first destination will be Cape Town and from there I'll fly to Windhoek, Namibia. From there I'll see later..
I should have been a software developer...
I'm trying to work my way towards that goal. It would be awesome to just work from anywhere.
I don't know how much actual work I'll end up doing. I currently have no contracts but some negotiations are happening. Anyway, the point is more to travel than work and I think I'll get bored of traveling before I run out of money, so not that concerned about getting commissions. I have also a product idea that I'll be developing if I have nothing else to do.
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Your pointless thoughts & observations
in General Banter
Posted
Tbh, adding a bit of soft distortion on the master bus/channel sometimes works, imho, fwiw, byob