In second place ...........TurboFish
Best Profile pictures
Sort:
Aug 1, 2015
0
#64
Fiveofswords wrote:
it makes sense to me that e and pi and i would be connected this way...after all a circle is just defined by the square root of a constant minus x squared. what i always though was a near coincidence was that the additive (0) and mutiplicative (1) identities are also in there
There is also the fact that the sine and cosine functions can be written in terms of Euler's number.
Aug 1, 2015
0
#65
I like mine, but judging by this no one will beat 1NaturalDisaster haha
Fiveofswords wrote:
it makes sense to me that e and pi and i would be connected this way...after all a circle is just defined by the square root of a constant minus x squared. what i always though was a near coincidence was that the additive (0) and mutiplicative (1) identities are also in there
Thanks for the definition of a circle. I'm gonna wow 'em at work Monday.
What's up guys?
Aug 1, 2015
0
#68
1MaturalDisaster: Yours is very colorful I must admit. But so is mine. Don't you think?
!
!
Fiveofswords wrote:
TurboFish wrote:
Fiveofswords wrote:
it makes sense to me that e and pi and i would be connected this way...after all a circle is just defined by the square root of a constant minus x squared. what i always though was a near coincidence was that the additive (0) and mutiplicative (1) identities are also in there
Yes, very interesting that pi is in there too. I remember seeing somewhere that mathematicians voted Euler's Identity to be the most beautiful mathematical equation of all. Your understanding of math is way ahead of mine, but this topic definitely interests me enough to motivate me to continue learning (even though I long ago finished with formal schooling).
One specific aspect that I find especially intriguing is the frequent occurance of complex numbers in quantum mechanics. Now I understand there is nothing special about the label "imaginary" in "imaginary numbers" (it was an arbitrary choice to use that terminology), but why should i (square root of -1) be so common in the QM treatments of physical nature?
because symmetry is common in nature. you shouldnt confuse quantum mechanics mathematical models with whatever might 'really' be going on. We have no idea. But if the models are predictive enough then they are useful. Anyway i shouldnt be though of as a mystical number that isnt a number its jsut a way to impose symmetry on exponential equations...so the exponential functions always have the same number of roots. Its like the same way negative numbers impose the same sort of symmetry on addition or fraction on multiplication. the only thing you 'sacrifice' with imaginary numbers is the equivalence relation...but when you study mathematics you get used to thinking of numbers as simply elements in a set rather than a real 'magnitude' with some connection to a tangible qualities so such things somewhat lose the sense of mystery to your intuition. I was personally fascinated by unexpected similarities to discreet and continuum properties as can be seen various places in analytic number theory.
Fiveofswords, that gives me something to think about, especially the role of i in imposing symmetry on exponential functions. I'm reminded of the correspondence between symmetry and conservation laws in physics (Noether's theorem). I've also studied symmetry (group theory) as applied to chemistry, and appreciate its beauty, but I had not realized that symmetry is such a prevalent aspect of reality. Thanks for sharing your thougts on this.
me
Aug 14, 2015
0
#79
Ok the next one will come out when there are more profile pictures
In third place............ Skotheim2