Ok, my brain is always working, sometimes on really odd things, especially if involves trying to see or find a pattern. With that said, I have “discovered” two cool math things, though, I am sure they have been pointed out by someone before; but DAMNIT, they are new to me, and they are special cuz I thunk of it all myself!
Ok, since I don’t know how to properly write what I want to say, I’ll write how I want and explain.
Lets say you have a series of numbers 1 through 15 (shorthand: [1 +.+ 15]
I found out that [1 +.+ 15] = ((1 + 15)/2) * 15
Go ahead, do the math, I’ll wait. *taps foot*
Satisfied? Good. So that holds true for all numbers and can be written as
[1 +.+ X] = ((1 + X)/2) * X
For the second one, Ill use 15 again
[1 +.+ 15] / [15 / 2] = 15 +1
Again, go do the math. *taps foot again*
so written generically as:
[1 +.+ X] / [X / 2] = X + 1
Go ahead, say it, I’m a geek. Now, the above examples only work starting at 1, but I know there must be a pattern starting at other numbers, I’ll start pondering it. =)
You are a geek..but that is what makes you so loveable. :)
Comment by swingerwife — 14-Aug-2008 @ 1202
Haha, thats so fuckably adorable. Anyways, I consider myself a pretty talented mathmetician and maybe I’m missing something obvious here but what the hell is “+.+”. Plus period plus??
Comment by collegehookerboy — 17-Aug-2008 @ 1354
I have no clue, actually, I tried to explain above that I was not really sure how to denote it, so I made it up. In my mind (using computer logic), I was trying to explain it with + then the wildcard . then a plus again (ok i know, using a strict computer expression it should be *. but that was a bit much =)
So to try and show the sum of numbers 1 through X it would be 1+(numbers)+X … Hey, shush, it made sense in my mind!
Hope that makes sense now and helps you follow my “geeky” post a little better!
Comment by lankrypt0 — 18-Aug-2008 @ 2257
lankrypt, either you are a geek, or I just can’t follow your math and so I need a name to call you.
Comment by Secret Confessions of a Horny Housewife — 27-Aug-2008 @ 0228
Alright, it seems, there are some confusions here. Let me explain better.
Instead of writing:
[1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 +12 +13 +14 + 15] I am simply writing it as [1 +.+ 15] (only because I dont know the real shorthand for it)
So to basically [1 +.+ X] = ((1 + X)/2) * X can be shown in a real example as:
[1+2+3+4+5+6+7+8+9+10+11+12+13+14+15] = ((1+15)/2)*15
Comment by lankrypt0 — 27-Aug-2008 @ 0702
Oh yes, I had this is statistics. The real symbol for this is a “P”, except that “p”is used when the numbers are multiplied, like 1*2*3…etc. There is a symbol for multiplication, I just forgot it. You have stumbled upon high level math!
Comment by collegehookerboy — 27-Aug-2008 @ 2152
Woops, first of all I meant to say that there is also a symbol for addition, not multiplication. Second of all, I fancy you.
Comment by collegehookerboy — 28-Aug-2008 @ 0819
CHB: I figured out what you meant, actually. And thanks for the information. It still bothers be that I don’t know the correct notation for what I am describing, perhaps Ill look into some statistics.
And, I don’t know how to respond to being fancied, I don’t think I’ve even been told that before =)
Comment by lankrypt0 — 28-Aug-2008 @ 0855
Looks like you have stumbled upon triangular numbers. They are v handy.
Doing it starting from numbers other than 1 is a difference of two triangles. eg:
[5+.+10] = T10 – T4 = 55 – 10 = 45
Reading the wikipedia page I just discovered that some triangles are square!
My weakness is primes. If I see a number (like 1127) I have to break it down into prime factors (like 7*7*23).
Pardon my butting in. I saw your comment at Real Life of a Woman.
PL
Comment by perfectlips — 14-Oct-2008 @ 1625