I took calc 1 recently and I've learned bunch about how ideas like division by zero typically works. The issue with division by zero that is typically seen is that it approaches infinity and negative infinity at the same time, so that if you plot y=x^-1, and watch as x gets closer and closer to zero, it is two separate values. This is because zero is neither negative nor positive and sort of hangs around this position of both at the same time. if you want to divide by zero, you can't, but you can say "if you could divide by zero this is what would happen." That would be a limit and is the foundations of calc 1. Its usually done by assigning 0 a variable (like @Clozent said, in the the diffence-quotion formula which is the basis of differentiation, this is h) and treating the equation like it's 1 graphed equation and subbing in 0 at the end. Things become interesting when you approach zero from different directions and try to do operations like 0/0. If you want to see this for yourself, try going to desmos and making a graph like "y=2x/3x," and you'll see that it makes a horizontal line at y=2/3 at every point *except* 0, because 0/0 is impossible. You can see that the graph approaches 2/3 visually and you can do the algebra to see that 2x/3x=>2/3, but the graph *techanically* doesn't exist at zero. Sorry for this long winded message that definitely has more information than anyone wants. I just like math a lot and love showing others what I learn, and your concept of division by zero being assign a variable h impressed me because your number theory is very good. I think you definiently have some potential at least learning the beginning calculus subjects if you just want to spend some time browsing some lessons (I'd die internally if I learned that you actually took calculus 1 because this rant would probably seem condescending and be inherently uncessisary, but I really am glad you were intrigued by math).
I took calculus. I mentioned imaginary numbers, which you learn after calculus. And the whole rant came from me learning imaginary numbers, which say that you can't sqrt negative numbers, but if you could you would end up with i. I tried using the same logic for division by 0. Unfortunately what I said in the video doesn't work. Because you would need to assume that 0 * 1 is not the same thing as 0 * 2.
If h times 0 was equal to h, instead of 1, you could multiply h by 0 as many times as you'd like Edit: I just remembered, when we learned derivatives at school, we used the letter h for the offset value, which we would eventually make approach 0. Not really what you meant by h, but it is related to division by (almost) 0, which is cool.
I took calc 1 recently and I've learned bunch about how ideas like division by zero typically works. The issue with division by zero that is typically seen is that it approaches infinity and negative infinity at the same time, so that if you plot y=x^-1, and watch as x gets closer and closer to zero, it is two separate values. This is because zero is neither negative nor positive and sort of hangs around this position of both at the same time. if you want to divide by zero, you can't, but you can say "if you could divide by zero this is what would happen." That would be a limit and is the foundations of calc 1. Its usually done by assigning 0 a variable (like @Clozent said, in the the diffence-quotion formula which is the basis of differentiation, this is h) and treating the equation like it's 1 graphed equation and subbing in 0 at the end. Things become interesting when you approach zero from different directions and try to do operations like 0/0. If you want to see this for yourself, try going to desmos and making a graph like "y=2x/3x," and you'll see that it makes a horizontal line at y=2/3 at every point *except* 0, because 0/0 is impossible. You can see that the graph approaches 2/3 visually and you can do the algebra to see that 2x/3x=>2/3, but the graph *techanically* doesn't exist at zero. Sorry for this long winded message that definitely has more information than anyone wants. I just like math a lot and love showing others what I learn, and your concept of division by zero being assign a variable h impressed me because your number theory is very good. I think you definiently have some potential at least learning the beginning calculus subjects if you just want to spend some time browsing some lessons (I'd die internally if I learned that you actually took calculus 1 because this rant would probably seem condescending and be inherently uncessisary, but I really am glad you were intrigued by math).
I took calculus. I mentioned imaginary numbers, which you learn after calculus. And the whole rant came from me learning imaginary numbers, which say that you can't sqrt negative numbers, but if you could you would end up with i. I tried using the same logic for division by 0. Unfortunately what I said in the video doesn't work. Because you would need to assume that 0 * 1 is not the same thing as 0 * 2.
Amazing Terraria gameplay. I did not think you were this good.
Thank you, I totally played Terraria ever
Bro has a headcanon for math
YES! I HAVE
Very good
Very good
If h times 0 was equal to h, instead of 1, you could multiply h by 0 as many times as you'd like
Edit: I just remembered, when we learned derivatives at school, we used the letter h for the offset value, which we would eventually make approach 0. Not really what you meant by h, but it is related to division by (almost) 0, which is cool.
Yea, maybe choosing h is not a good idea, that letter is already used for many different things like height, Plancks constant, hours and more
Interesting
hi