Here it is. (Search for 'QV Tel' or 'HR 6819'.)
Thank you, JD! Is it in the update I installed today (1810)?
Yes.
haha thank you JD! the new update looks BEAUTIFUL but alas it is running a little slow for me on my 1060 6 GB card at 1280x1024 resolution (I see the circular icon on the top right when I load planet surfaces, I can move around and see surface details but the circular icon means everything isn't completely loading? It is the same on all planets I visit. I will try to lower my resolution to 720P and see if that fixes it.)
0/0 should be 0 when you put it that way.....it's when you put an integer in the numerator that the answer becomes undefined (or infinity, depending on how you look at it.)"Imagine that you have zero cookies and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends."
-Siri, 2017
Wat, this is like having a big black hole in the middle of mathematics! Intuitively I see why it would "seem" to approach 1, because for any value of x which isn't 0, x/x equals 1. But because of the special nature of "0" you get this singularity in mathematics that makes me question whether we should even consider 0 a number and not just a placeholder for <no value> in that column. I also believe that the "number line" should be replaced with the "number loop" or the "number spiral"- studying tangent graphs is what inspired me to think this way.0/0 is an indeterminate form, meaning you can define an operation that is equivalent to dividing zero by zero in many different ways, and it can give you any answer that you like. What you get depends on the "strength" of each zero, in the following and very handwavy sense which might make a mathematician cringe. A stronger zero in the numerator makes it act like "zero divided by a nonzero number", which gives you zero. A stronger zero in the denominator acts like "a nonzero number divided by zero", which gives you +/- infinity. "Equal strength" of zeros acts in some ways like cancelling, and can give you a finite nonzero number.
Example: define a function f(x) = sin(x)/x. Plug in x=0, and this is 0/0. But if you look at values of x that are arbitrarily closer and closer to x=0, then you find outputs f(x) that get arbitrarily closer to 1. Indeed, the limit of this function as x goes to zero is 1. Using the very handwavy but useful way of thinking about it: this is because sin(x) acts like x for values of x very close to 0, which makes the function sin(x)/x near x=0 look like x/x which is 1. We can also easily modify this to make the limit equal to any number that we want. Simply multiply the sine function in the numerator by that number.
Another example: define a function f( ) = [sup]2[/sup]/(ln( + 1). In this case, too, when =0, we have 0/0. But happy face squared grows more rapidly than the natural log of happy face, so the "zero in the numerator is stronger", and this limit is 0.