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Using Sine Waves to Analyze New Eden
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Calvin
Tritanium Forge Industries
#1 - 2014-07-20 22:53:43 UTC
Hi folks,

Just wanted to share my latest blog post on using some rudimentary digital signal processing techniques to examine the patterns in New Eden: http://newedenanalytics.blogspot.com/2014/07/applying-digital-signal-processing-to.html

I plan on delving more into this in future posts, but wanted to share this primer.

Cheers,

- Calvin
Arla Sarain
#2 - 2014-07-20 22:57:12 UTC
Every function can be expressed as the sum of an odd and an even function.
As sine is odd, and cos is even, every function can be expressed as a sum of sin and cos functions.


...so?
Calvin
Tritanium Forge Industries
#3 - 2014-07-20 22:59:29 UTC
Arla Sarain wrote:
Every function can be expressed as the sum of an odd and an even function.
As sine is odd, and cos is even, every function can be expressed as a sum of sin and cos functions.


...so?


Gotta start somewhere (-:
James Amril-Kesh
Viziam
Amarr Empire
#4 - 2014-07-20 23:01:48 UTC  |  Edited by: James Amril-Kesh
Arla Sarain wrote:
Every function can be expressed as the sum of an odd and an even function.
As sine is odd, and cos is even, every function can be expressed as a sum of sin and cos functions.


...so?

cosine is just sine phase shifted by pi/2

So really any periodic function can be represented as a sum of sine or cosine waves.

Enjoying the rain today? ;)
Christina Project
Screaming Head in a Box.
#5 - 2014-07-20 23:12:06 UTC
Some smooth curves you got there... ;)

[i]"Don't look into another human's bowl to see how much he has ... ... look into his bowl to see if he has enough !" - Sol[/i]
Calvin
Tritanium Forge Industries
#6 - 2014-07-20 23:14:13 UTC
James Amril-Kesh wrote:
Arla Sarain wrote:
Every function can be expressed as the sum of an odd and an even function.
As sine is odd, and cos is even, every function can be expressed as a sum of sin and cos functions.


...so?

cosine is just sine phase shifted by pi/2

So really any periodic function can be represented as a sum of sine or cosine waves.


Aww, don't go off ruining my whole next post on Fourier Transforms ;-)
James Amril-Kesh
Viziam
Amarr Empire
#7 - 2014-07-20 23:20:08 UTC
Calvin wrote:
James Amril-Kesh wrote:
Arla Sarain wrote:
Every function can be expressed as the sum of an odd and an even function.
As sine is odd, and cos is even, every function can be expressed as a sum of sin and cos functions.


...so?

cosine is just sine phase shifted by pi/2

So really any periodic function can be represented as a sum of sine or cosine waves.


Aww, don't go off ruining my whole next post on Fourier Transforms ;-)

I could have said more on the subject, but I'm really not very knowledgeable at all. I never learned how to do Fourier transforms, but I did learn Laplace transforms in my differential equations class.

Enjoying the rain today? ;)
Chirjo Durruti
Doomheim
#8 - 2014-07-20 23:25:05 UTC
Calvin wrote:
digital signal processing techniques

Fourier transformations are a very generic tool.... eg. http://en.wikipedia.org/wiki/Fourier_transform#Uncertainty_principle

HOWTO: No More Tears (solo) http://www.youtube.com/watch?v=BdA4ciUrH-k If you can get me a better crew than THIS: http://www.youtube.com/watch?v=yPrtQ9AdoM0 convo me.
Jayrendo Karr
Caldari Provisions
Caldari State
#9 - 2014-07-21 00:18:30 UTC
wtf am i reading
stoicfaux
#10 - 2014-07-21 00:27:26 UTC
Jayrendo Karr wrote:
wtf am i reading

Lies, damn lies, and statistics. Aka having fun with numbers. Aka proving that our mothers lied to us about being unique, special snowflakes.



Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.
Scipio Artelius
Weaponised Vegemite
Flying Dangerous
#11 - 2014-07-21 00:31:38 UTC
Jayrendo Karr wrote:
wtf am i reading

That there is a 24 hour cycle to things in EvE, with activity dropping around downtime and peaking from mid-afternoon to late evening.

Tweaked sine functions match the cosine shape of activity in New Eden.

Conclusion: EvE is like a fine symphony. The wave shapes are near perfect.

Or something else.
Christina Project
Screaming Head in a Box.
#12 - 2014-07-21 00:47:31 UTC
Scipio Artelius wrote:
Jayrendo Karr wrote:
wtf am i reading

That there is a 24 hour cycle to things in EvE, with activity dropping around downtime and peaking from mid-afternoon to late evening.

Tweaked sine functions match the cosine shape of activity in New Eden.

Conclusion: EvE is like a fine symphony. The wave shapes are near perfect.

Or something else.
The universe is fractal.


/thread.

[i]"Don't look into another human's bowl to see how much he has ... ... look into his bowl to see if he has enough !" - Sol[/i]
Sibyyl
Garoun Investment Bank
Gallente Federation
#13 - 2014-07-21 03:45:26 UTC
Hi Calvin, thanks for posting your analysis.

About your article Jump Pattern Analysis, how did you get data of number of jumps?

Joffy Aulx-Gao for CSM. Fix links and OGB. Ban stabs from plexes. Fulfill karmic justice.
Calvin
Tritanium Forge Industries
#14 - 2014-07-21 06:00:16 UTC
Sibyyl wrote:
Hi Calvin, thanks for posting your analysis.

About your article Jump Pattern Analysis, how did you get data of number of jumps?


I have a script that auto-collects from both the Jumps and Kills APIs every hour, it's been running ~1.5 months now, so lots of data to work with (-:
Trevor Dalech
Nobody in Local
Of Sound Mind
#15 - 2014-07-21 06:25:36 UTC
Using Fourier analysis (sine and cosine waves) assumes patterns in EVE are cyclical and tells you nothing about the uncertainty of your models. Have you considered using some form of ARIMA modeling?
Jake Warbird
Republic Military School
Minmatar Republic
#16 - 2014-07-21 07:36:07 UTC
Graphs. Pretty pretty graphs.

Sugar Von MurdererTits : Jake Warbird gets my vote for most intriguing and attractive male character in Eve.
Madam Lash
Amarr Empire
#17 - 2014-07-21 07:49:44 UTC
Scipio Artelius wrote:
Jayrendo Karr wrote:
wtf am i reading

That there is a 24 hour cycle to things in EvE, with activity dropping around downtime and peaking from mid-afternoon to late evening.

Tweaked sine functions match the cosine shape of activity in New Eden.

Conclusion: EvE is like a fine symphony. The wave shapes are near perfect.

Or something else.


Either way - my brain hurts more than it usually does.
Mithandra
B.O.P Supplication For Glorious
Dracarys.
#18 - 2014-07-21 10:06:15 UTC
I'm lost. Not at the math, but at why you would spend so much time proving that activity in eve is cyclical.

We live all across an oblate spheroid, orbiting a giant ball of fire, of course its cyclical.

Sorry but what's your goal here?

Eve is the dark haired, totally hot emo gothchild of the gaming community
Calvin
Tritanium Forge Industries
#19 - 2014-07-21 12:09:36 UTC
Mithandra wrote:
I'm lost. Not at the math, but at why you would spend so much time proving that activity in eve is cyclical.

We live all across an oblate spheroid, orbiting a giant ball of fire, of course its cyclical.

Sorry but what's your goal here?



Curiosity (-:
Nose' Feliciano
#20 - 2014-07-21 12:53:02 UTC
Scipio Artelius wrote:
Jayrendo Karr wrote:
wtf am i reading

That there is a 24 hour cycle to things in EvE, with activity dropping around downtime and peaking from mid-afternoon to late evening.

Tweaked sine functions match the cosine shape of activity in New Eden.

Conclusion: EvE is like a fine symphony. The wave shapes are near perfect.

Or something else.



I would like to see the results when downtime is done away with...as is planned.

Remodeled Crane Concept
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