QOTU: The Universe and Donuts.

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  • @carrlozXemiliano "Neville Longbottom and the Chamber of Secrets" does not sound like a novel appropriate for children.

  • Wait... is ThatZak?

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  • NO EDGE

  • Dude....No Edge!

  • No Edge.

  • @Litheran So with this information it would be easy to just assume that if x=0 then z=+∞. So why is the answer to anything divided by 0 not ∞? The short answer is that not all infinities are equal. When actually applied in calculus situations dividing by 0 isn’t so much an end to itself as much as it is a sign to the person doing the math that something went “wrong” and there needs to be further investigation to find out what that division by zero means. Because not all infinities are the same

  • @Litheran obviously as the number you divide by gets smaller the quotient gets larger, in fact this is a relationship often expressed as “as x (the divisor) approaches 0, z (the quotient) approaches positive infinity” the opposite is also true, “as x (the divisor) approaches positive infinity, z (the quotient) approaches zero”

  • @Litheran If you take any real number (whole, fractionable, irrational, it doesn’t matter), lets assume 7 because it’s my favorite number and easy to type. Please excuse any rounding I do here. If you divide 7/7 you get 1. 7/6=1.166667 , 7/5=1.4 , 7/3=2.33333 , 7/2=3.5 , 7/1=7 , 7/0.1=70 , 7/0.01=700 , 7/0.0000000001=70000000000 .

  • @Litheran to put it another way, lets divide by zero. Most high school and bellow math classes tell you that you can’t divide by zero, that it’s impossible, or that the result is “undefined”, depending on how much your teacher thinks you already know. But for centuries dividing by zero was said to result in infinity. Even the twenty year old textbook references my old geometry teacher had still used that reference. And in calculus and higher algebra it’s clear why that is.

  • ... So the infinity between x and z is twice as wide as either the infinity between x and y or between y and z.

  • @Litheran It doesn’t matter what you’re integers are. Lets use letter variables to make this less number-specific. Between x and y there is an infinite amount of permutations/numbers that exist. And between y and z there is another infinite amount of permutations/numbers that exist. So between x and z there is also an infinite amount of permutations, but there’s more than just the amount that there is between x and y or y and z; there’s twice that many, double infinity if you will. ...

  • So I got a text shortly after the 2 minute mark and wasn't paying attention and when I tuned back in I was like "Wait, how did we go from the end of the universe to snow donuts?!" Teehee

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