The Limit
We need to talk.
You are certainly very attractive.
You tempt people. The perfectionist in all of us.
What you can get closer and closer to but never quite touch.
But what we have is good enough. The world is imperfect.
You are an illusion. You aren't real.
One apple. Two apples. Add three more for five apples.
Perfect.
Five dozens of apples for a total of sixty.
Perfect multiplication.
Reverse. How many dozens in thirteen?
One and a twelth.
So far so good.
Let's talk space. Three steps West, Four steps North.
The square of the first plus the square of the second gives the square of the diagonal. Pythagoras.
Then in total you are five steps away from where you started if you instead walked straight.
One step West, one step North? Hmmm... The square root of two?
What is the actual number? 1.4142....
Got a formula?
Don't know your favorite formula but I'm going to pull out the Binomial series:
(Yes, the binomial formula extends!) This converges for |x| < 1. Using one-half for alpha, and negative one-half for x, multiply by two, and that gives you the square root of two.
You can follow a formula to get the first few terms as 2(1 - 1/4 - 1/32 - 1/128 - ....)
Whatever, show-off. What does this mean?
This formula gives a recipe for how to compute the square root of two to however many digits of precision we want!
Infinity... Now we need you.
The first lesson of limits. Convinces us that if we "keep going" we would eventually get as close as we desire to the limit.
But how long does that take? That's the practical mathematicians' domain, and what truly drives technology. It's why people care about various formulas for computing pi, or the square root of two. Some formulas are better.
Numerical analysis studies this.
We can't make perfect circles. We can't store all numbers to infinite precision. But we can store them to arbitrary precision. And that works just fine.
Welcome to the real world, infinity. You are not relevant for us here. But thankfully, you can tell us what is possible.
Lolx @eonwarped. You are an awesome dude bro. Such a nice mathematical brain-teaser all because of KnoW LIMITS.
This got to me:
Indeed focus is the answer. People delve into many things and become jack of all trades but master of none. cheers!
#BERSERKERS!
I am a jack of all trades...
Now I focus on Steem and on the team.
Steadfastness is very important to become a master in something.
Thanks! Heh. Kids these days in high school seem to be expected to be jacks of all trades for college admissions. Getting harder and harder to stand out and be ahead of the pack... I'm beginning to think writing and personality is going to be the differentiator.
Damn.
1000% correct Eon.
Being a master of a skill always results in cash!
Kiddos just switching all the time or they don't make the first step at all!
Recommended reading: Robert Green - Mastery
By the way -> Gang members have to be specialists, otherwise, they are of no use to the gang.
Interesting your publication, my friend!!, I like mathematics very much, but when I stop practicing them I usually forget the formulas, but it is enough to spend a few days reviewing equations and I remember everything, everything that has to do with numbers I love. :D
Greetings!!
I prefer theory and proofs to the actual number crunching. It gets to be quite the creative puzzler...
Well, I was with you through the apples, but I didn't have a compass and I got lost on the walk.
I should have ended with apple pie.
At least for me, LOL.
Cool, now all I need is a proof to the Riemann's hypothesis and I'm all set!
My old friend used to dream about that. His dream would always end up with him about to find the solution and waking up before it happening. Very amused.
My maths is terrible, and I'm in sales! Thank the pond gods for calculators. :-)
Lolx @dickturpin. Calcs help alot...
Funny thing. I suck at numbers, so I agree. And I'm not even joking.
I know I'm a finite being, but it's fun to think about infinity.
I like that. Not sure I completely get all of that, or maybe it just open to however whoever reads it, but imperfection is what makes us all perfect.
That follows nicely as well. There is no perfect, and that's perfectly okay :)
The fuck did I just read.
This must be what people think before they want to offend someone.
Lolx. Yeah. You mentioned you ain't good in maths...
Mathematics poetry!
steemstem, not steem-stem =P
Thanks! Corrected