[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 1 KB, 208x48, 5a9c16f2f8f62fbf9d9780de69f1fadb.png [View same] [iqdb] [saucenao] [google]
6755495 No.6755495 [Reply] [Original]

Could someone explain to me the process in which the fibonacci sucession is generalized into this mumbo jumbo?

>> No.6755543

>>6755495
plug in 1=x

>> No.6755591
File: 10 KB, 226x92, Screen Shot 2014-09-14 at 19.13.10.png [View same] [iqdb] [saucenao] [google]
6755591

>>6755495

>> No.6755604 [DELETED] 
File: 3 KB, 130x86, sci.png [View same] [iqdb] [saucenao] [google]
6755604

>>6755591
>>6755495

>> No.6755682

>>6755591
Thanks a lot.

Can someone confirm me if the y values of this function are indeed those from the fibonacci sucession?

>> No.6755707

shameless self-bump

>> No.6755712 [DELETED] 
File: 617 KB, 1051x1051, rosary2.png [View same] [iqdb] [saucenao] [google]
6755712

>>6755707
>>6755604

>> No.6755715

>>6755682
you can, plug values into the equation and see what comes out.

>> No.6755719

>>6755495
the process to get this closed form is linear algebra

http://www.the-idea-shop.com/article/218/the-linear-algebra-view-of-the-fibonacci-sequence

>> No.6755720

>>6755495
notice cos(xpi) just fluctuates between 1 and -1 (as you're only considering integer values of x.) i wonder why they would use cos(xpi) instead of (-1)^x. make it scarier maybe. or does this shit give some kind of information when x isnt an integer?

>> No.6755750

>>6755719
Or generating functions. Same.

>> No.6755752

>>6755719
God bless you.