It bothers me that the two products could be joined, by letting the terms for n = 0 and n = 1 out from the first product.
@ValidatingUsername7 ай бұрын
You can join products by dividing by the missing terms too, either side of the start or end points.
@electricengine84077 ай бұрын
you can also offset n by the starting value and then just combine them
@Roman_CK7 ай бұрын
So what's really interesting about your comment is that at no point is there an "n=1" depicted in the video. However there should be. Can you guess where? Easter Egg!
@Y270H7 ай бұрын
Now when will a calculator feature this thing. (if it is already featured please inform me. I have fx-991ex and fx-991ES plus, also the fx-991MS.
@blqbfish26437 ай бұрын
since the fx-991ex has the summation operator, you could rewrite the product as a summation by taking the logarithm, since prod(f(x)) = e^{sum(ln{f(x)})} as long as prod(f(x)) and f(x) are positive (if they are negative, use the complex logarithm).
@Roman_CK7 ай бұрын
I really don't know.
@Y270H7 ай бұрын
@@Roman_CK well that's a shame, would've been cool to experiment with it.
@new_hyper7 ай бұрын
man, i just graduated with a college associate, and this vid amazed me. I had to stop at 1:58 just to write this comment from profound reflection. So, is there an equation that will give me a finite number to 1:58, etc, etc>? buen video !!
@new_hyper7 ай бұрын
like it inspired me to know that there are more methods of math to explore. Hope to apply soon.
@Roman_CK7 ай бұрын
Glad my stuff inspired you. So one particular way to arrive at 1.58... using infinite product starting from n=2 is 1.47n^2/1.47n^2-1 . Basically you can always fine tune towards the fractions to arrive at any particular desired outcome. But yeah sometimes I too just stop and look at these dumb numbers and think to myself. How the heck did these stupid monkeys think of this whole thing? I think there is something to maths that's all together outside the realm of our ability to understand reality. But what do I know. I'm just a stupid monkey.
@new_hyper6 ай бұрын
@@Roman_CK We do be just dumb monkeys, but it is impressive that we survive through repetitions. And our end when we become undefined (lim x->0 (1/x)?). To put all our senses in understanding these dumb monkey funny math drawing to express life lol