Comments by "kazedcat" (@kazedcat) on "3Blue1Brown" channel.

  1. trdi RSA is not SHA they are not even on the same category. Please read more about crypto before calling people naive.
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  2. BitTripBrit not really grovers algorithm just reduce the effective bits in half so a 128bit hash against classical computer is similar in difficulty to a 256hash against quantum computer. The proper response is to raise your hash to 512bits then you are as secure as before.
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  3. z beeblebrox I really like Cool Worlds application of Bayesian Statistics to calculate that there is greater than 50% chance that we are not in a simulation.
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  4. There is a number system that actually do that. But the system is more clunky. Quaternions simplify things. You don't actually need it you can just do matrix math for any dimensional space.
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  5. +Jim Smith You cannot do addition with infinite series. Defining it as partial summation is dishonest because it is doing completely different thing. Basic addition is between two finite numbers nothing else but that would limit math to simple arithmetic so we do not do that.
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  6. Yes but limits are entirely different operation than basic addition. My point is we are already overloading the addition operation. Why are you complaining that someone overload it even more.
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  7. It's not the result of addition because you cannot add infinitely many things. Your partial sum approaches the limit but you never really get there. No matter how many terms you add there is still a small value separating your result from your limit.You just say that at infinity the gap is infinitesimal so you ignore it. But infinitesimal is not zero so it is not basic addition. Weird things can still happen like giving you a different result if you change your summation order. But basic addition is fully associative you can change the order however you want.
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  8. I am not saying that you cannot take limits on infinite series, I am saying you cannot add them like basic addition. Take the limit of alternating harmonics (1-1/2+1/3-1/4+...). The limit is ln(2) but if you rearrange the order you can make it so that the sum is 1/2 ln(2). Basic addition don't have this property where changing the order change the the result. You lost the full associative property of basic addition when you apply it to infinite sum. Since there is one property where they are different the operation is not the same.
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  9. This clearly show that infinite sum is not the same as basic addition. In basic addition you are allowed to rearrange 2+(4+5) =(2+4)+5 =4+(2+5). It's the first thing you learn about addition that it is associative. But infinite sum is completely different animal it may look at first glance like addition but there are restriction on how to manipulate it that breaks the sense of adding something.
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  10. If it's not associative it's not addition. It's the limit of a sum of an infinite series. Doing addition on infinite series leads to bad things. You are not allowed to switch brackets, you are not allowed to distribute multiply. You are not allowed to change order. You are not even using the same number system. Infinity is not an element of Real number set. The n in your sigma notation is an ordinal number. Reusing + operator only results in confusion the sigma notation should be the only way it is represented.
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  11. Guillaume H.G quantum computers are not real parallel. they provide speed up so 256bits need only 2^128 guesses using grovers algorithm. 128bit is still very secure.
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  12. Bayesian reasoning is just plain hard. I have checked the formula watch videos to explain it. But I just couldn't internalize it something is just not clicking to me. I could not get the essence of it. Hopefully this series will finally make me understand it.
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  13. Humans are just not capable of understanding more than 3 dimension. You need to compartmentalize things reduce it lower dimension then just use special rules to link multiple low dimension together to understand higher dimension without actually seeing the big picture. Once you stop trying to see the big picture but just look at the small parts and the rules that link them. Understanding higher dimensional system will be easier.
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  14. Annie A higher energy photon can divide into two lower energy photon but the two photon will change color with half the frequency of the original and the two photons are now entangled. This is the start of quantum weirdness because the two photon will affect each other even if they are at opposite side of the universe since they started as one photon..
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  15. Differential equation is black magic. I suggest doing the black box approach into learning this things. Things that you don't understand you put it in a black box and think of it as doing something you don't understand. Then built up the chain of black boxes until you have overview of the entire system. Then after that you can slowly one by one open the black boxes and understand each one. It will be hard and slow process of learning but it will save you a lot of headache.
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  16. RunasSudo how about True Positive Fraction. This is the fraction of the population having positive results that are true.
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  17.  @yinge101  Do you mean that True Positive Fraction will be interpreted as TP/(TP+FP+TN+FN) instead of TP/(TP+FP)? Then you can adjust the name to "True in Positive Fraction" for TP/(TP+FP) and True Positive of Total Fraction for TP/(TP+FP+TN+FN).
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  18.  @yinge101  It does not need to catch on. You just need to substitute names for your own understanding. Everyone can confuse themselves with vague nomenclature but you can enjoy a clearer and simplified naming scheme. It is like the quadratic formula everyone can continue using the conplicated general formula but you can use the simplified solution it will be easier for you even if the simplified solution does not catch on.
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  19. Sana omar infinity. The quote there is no certainty in life is a mathematical axiom
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  20. Ramon Martinez Laplace transform is half of the Fourier transform so just cut the video in half :)
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  21. 007bistromath No this is Mathematics. Math does not care about what you think. Math does not care of who you are. Even if your God says 1+1= 3 Math declares that your God is wrong.
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