Out of Pod Experience

I'm planning to make a post on Euler's Identity for over 3 months.

Of all the other posts I made on here so far, this is the most complex subject for me.


However, I managed to get many good references and links which I saved.

I have no time left, and I should post later on today or tomorrow.


I will add that it is used for building hardware for now.
And leave this link:
http://www.wired.com/2014/11/eulers-identity/

http://www.wired.com/wp-content/uploads/2014/10/5d_euler_f.jpg
http://www.wired.com/wp-content/uploads/2014/10/5d_euler_sb1.jpg

(I'm also too tired.)


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Edit:
Searching for euler

I found:
http://en.wikipedia.org/wiki/Circular_polarization
Circular polarization
http://upload.wikimedia.org/wikipedia/commons/8/81/Circular.Polarization.Circularly.Polarized.Light_Right.Handed.Animation.305x190.255Colors.gif


I also found it is related to:
http://en.wikipedia.org/wiki/Complex_analysis
- Complex analysis -
1. Complex analysis is one of the classical branches in mathematics with roots in the 19th century and just prior.
- Euler, 20th century. -
2. Important mathematicians associated with complex analysis include Euler, Gauss, Riemann, Cauchy, Weierstrass, and many more in the 20th century.
- Analytic Number Theory. -
3. Complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number theory.
- Fractals (by Iterating Holomorphic Functions.) -
4. In modern times, it has become very popular through a new boost from complex dynamics and the pictures of fractals produced by iterating holomorphic functions.
- String Theory and Quantum Field Theory -
5. Another important application of complex analysis is in string theory which studies conformal invariants in quantum field theory.

(... more to come after I change system, gtg...)


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Edit 2:

https://forums.eveonline.com/default.aspx?g=search&search=euler
Searching for euler on the EVE Online Forums Returned:

Result 1:
R1.
EVE Forums » EVE Technology and Research Center » EVE Probe » Want to make a scene?
from
https://forums.eveonline.com/default.aspx?g=posts&m=5477920#post5477920
to
https://forums.eveonline.com/default.aspx?g=posts&m=5478262#post5478262
https://forums.eveonline.com/default.aspx?g=posts&m=3212399#post3212399



R2.
EVE Forums » EVE Communication Center » EVE General Discussion » very geeky question about Eve's coordinate system
from
https://forums.eveonline.com/default.aspx?g=posts&m=5308606#post5308606
camera and ships use euler angels for sure
to
https://forums.eveonline.com/default.aspx?g=posts&m=5309355#post5309355
Euler is pronounced like "Oiler" - or phonetically "OY-ler"

That should get you past the toughest part of the thread :)
http://en.wikipedia.org/wiki/Leonhard_Euler
German pronunciation: [ˈɔʏlɐ] http://upload.wikimedia.org/wikipedia/en/b/bb/LeonhardEulerByDrsDotChRadio.ogg
local pronunciation: [ˈɔɪlr̩] local http://upload.wikimedia.org/wikipedia/commons/2/2a/De-Leonard_Euler.ogg

1. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory.
2. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function.



R3.
EVE Forums » EVE Communication Center » EVE New Citizens Q&A » Need Help Understanding Navigation In EvE
https://forums.eveonline.com/default.aspx?g=posts&m=3212399#post3212399
For what it is worth:

e = Euler's Number ~ 2.71828 (it is an irrational number so it can only be approximated)
e = the limit of (1 + 1 / N) ^ N, as N approaches infinity [feel free to try this on your calculator, say with N = 100,000,000]

ln (x) = logarithm base e of x, also known as the "natural logarithm", hence "ln".
ln (e ^ 1) = 1
ln (e ^ 100) = 100

On calculators, you may find that "ln" or "e^x" key that you can switch between by pressing INV key first to get the opposite operation.

Euler's Number comes up a lot in Calculus, just like Pi does with trigonometry.



R4.
EVE Forums » EVE Technology and Research Center » Features & Ideas Discussion » Cost of change
https://forums.eveonline.com/default.aspx?g=posts&m=4530175#post4530175
#1 - 2014-04-30 01:47:55 UTC
Whatever the costs are expect the price of ships/produced goods to just completely skyrocket over night by 5-10%.
Simply put, additional cost on the producers will be passed on to consumers. This raises the price of the good which 28 days layer will raise the price of the production.
Euler's number (e) (2.718) will have a lovely effect on this, so the end result of the production percents over current prices will be something like 5-10% * 2.718 once everything eventually 'settles'.



r5.
EVE Forums » EVE Communication Center » EVE General Discussion » 'Tracking camera' is awful
from Page 1
https://forums.eveonline.com/default.aspx?g=posts&m=2308628#post2308628
to
https://forums.eveonline.com/default.aspx?g=posts&m=2308697#post2308697
+
https://forums.eveonline.com/default.aspx?g=posts&m=2310470#post2310470
Would changing from Euler rotations and adopting a 6DOF Quaternion camera make things better or worse ?
to
https://forums.eveonline.com/default.aspx?g=posts&m=2310466#post2310466



R6.
EVE Forums » EVE Technology and Research Center » Features & Ideas Discussion » Remove the z-axis
https://forums.eveonline.com/default.aspx?g=posts&m=1249021#post1249021
An alternative would be a system like euler angles which don't have this problem.


R7.
EVE Forums » EVE Communication Center » EVE General Discussion » To ban or not to ban. That's the question.
https://forums.eveonline.com/default.aspx?g=posts&m=1056404#post1056404
excuse us EUler ...