Dr Harini Desiraju discusses Somos Sequences and a number which breaks a streak.
More links & stuff in full description below ↓↓↓
Dr Harini Desiraju is a postdoctoral fellow at The University of Sydney. This video was recorded at MSRI.
Like sequences – see these videos with Neil Sloane: http://bit.ly/Sloane_Numberphile
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Hellohello
BoldhelloStrikethroughSubtitles distrubs.
Usually, these videos would actually explain some sort of…. point to the algorithm. Otherwise it's just arbitrary. Not surprising that an algorithm of random numbers doesn't always produce an interger.
After all these years, I have to say it.
PLEASE CHANCE THE PAPER-MARKER FOR SOMETHING ELSE 😀 Or use a sound filter.
I understand brown paper is your brand, dude, but this is similar to styrofoam squeaks. 😉
Dude – it hurts our *conciousness*.
Maybe you should do a vid about it – why is it so!
Anyways, tnx for work 🙂
Oh no, you divided by 7, didn´t you? univese breaks down
Thank-you. Forget the maths for a moment; I want to read all of what it says on her tee shirt! 🙂 Daleks have been a part of my education since they first appeared on BBC Television in the early 1960's.
The Somos sequence is certainly interesting and curious but, as ordinary human beings, some of us want to know answers to questions such as where it is found, why it occurs, and what are its practical applications? A mathematician might be more concerned about why the apparent sequence of integers suddenly 'breaks' at /7, why it might never produce integers again, and whether it is true that no more integers are produced.
Do you have more about this sequence planned for a future video? Also, what more can you tell us about the work of the MSRI, which would be worthy of inclusion on this channel? Thanks again. 🙂👍
This video needs to be redone better. There are multiple issues identified in these comments.
Main India ke Rahane wala hun aur ghas Mandi khabar mujhe acchi result chahie
How do you know algorithm for somos-k ?
I've Got Your Number
Why is PI equal to a certain number
all be it too uncertain to encumber
Why not a different set off symbols
Now that logic quickly crumbles
in the global throwing up of theories
about how to understand our fact deliveries
Like I said about your number, how is this, then
It is the geometry of the ten digit system
I immagine there are many as interesting sequences
in a binary, trinary, base 4, base 5 et cetera to no ends is
an endless endeavour and what depends is
Are we looking outside or just adjusting frequencies
At the base, the problem is the same
We project meaning onto our own creation
Math
Just like no morality numerology along the same path
not the binary or any other arbitrary
Take a bath
I would though be interested
for conspicuous reasons
in what happens
if you play these mind games
with the old sixties
You know, five times twelve
here comes the elve
Nine times a quarter
There goes your daughter
Where was the challenge
I, for one, was very enthused and impressed with Somos-2. 😀
"The sequence is not interesting, but the algorithm is getting juicier."
The first three digits got me really interested
So in a physical world entwined with chaos and varying degrees of entropy, we’re curious to see that reflected in rather arbitrary systems that mathematically breed their own chaos and degrees of entropy? I’m shocked.
What is the point of defining of these sequences?
Since it's somos 8 you could try a base 8 system and see how the set evolves with different bases.
Ignorant point of view says, you make a sequence – you get numbers out. Why would fraction be different from integer. It's just a value… We made up decimals so joke's on us.
"Why haven't we gone back to the moon?" "Check out this weird math anomoly!"
Who
Cares?
Part way through this video I was distracted by the paint in my room drying, then I went outside to watch the grass growing. Both were more interesting than this video.
11,7,22 ,ka1 ,nambardo
✅
Some of this stuff seems interesting in and of itself. This however feels a bit cooked up, like they are fabricating wonder about made up names of obtuse operators…
What was the point of this video?
This is another video that would have been greatly improved by excluding Brady's commentary
But what actually is a Somos sequence? Where did these algorithms come from?
I am sorry but can someone explain why did we add the square of a(n-2) in somos-4… Till then it was just multiplication is it? Plus what's the relevance of these somos-k sequences?
It is, imo, probably related to the density of primes. As primes become less dense there is less likelihood of total cancellation.
Somos2 is exactly solvable for any starting values: ln both sides to get ln(an) = 2ln(an-1)-ln(an-2). That's a linear recurrence characterized by [[2,-1],[1,0]]. Curiously, its jordan block is [[1,1],[0,1]], so its ln exhibits linear growth. So it grows exponentially.