Euler's Identity

 

Maybe not so bad. [math]H(\pi,\tau)=\dfrac{2}{\frac{1}{\pi}+\frac{1}{\tau}}=\frac{4}{3}\pi=\frac{2}{3}\tau[/math].

 

Ah! Let's denote this constant [math]\eta[/math]. The volume of the space enclosed by a sphere is [math]V=\eta r^3[/math]. Now where's my Nobel Prize?

Certainly would be helpful in other areas of mathematical computation, I'd use it when it was helpful, and otherwise use pi or tau when that's helpful.

Humans would look practically the same if you put a mirror down the centre of us (as would many other creatures). Why is that? I assume it's something to do with the way the enbryo develops, like clusters of cell for producing a particular organ form and then kind of maybe split into two along an axis resulting in two eyes, two kidneys, two lungs etc. Presumably our two kidneys didn't evolve independently of each other.

From an evolutionary POV its known that humans (and many, many other species) find symmetry more attractive (as you may know lol) therefore those with symmetrical body structures would have better reproductive success. Of course sexual selection wouldn't be the end of it, Natural selection selects for those with symmetrical body structures I assume because of ability to compete for whatever reason. But I'm by no stretch of the imagination an expert so my answer is educated speculation at best.

 

Repainting the Mona Lisa seems a bit easier...

 

Okay, how about the harmonic mean of [math]\pi[/math] and [math]\tau[/math]? Love and peace, right guise?

Yeah that would be extremely intuitive haha, some weird fraction being the radian measurement for 90 degrees lol

I suggest this actually, smoother strokes!

so gravitational fields and electric fields for charged particles have the same models? i'd love to see the math that correlates them, anyone have any idea where to find that? I'l love to see it.

and i know the sun would never actually disappear (like you said conservation of mass), but i think the post was a hypothetical situation.

Yeah its a pretty natural question that I thought about when I was much younger, In addition to us staying in orbit for a while we would also see the sun as if it were still there for another 8 minutes

 

True. This discussion isn't really exclusive to mathematical aesthetic. What do you say about pedagogy? Public school students in the US begin learning trigonometry and radian geometry in high school (freshman year at the earliest AFAIK). There has always been some initial confusion with learning radians in multiples of pi, having to wrap one's head around pesky factors that seem almost extraneous. For most students in accelerated curricula, this almost never turns out to be problematic later on, but it is a slight pedagogical issue nonetheless. Does it merit a complete overhaul of which constant to use. Certainly not -- but it's still something to consider.

 

True. Messing around with radians in multiples of Pi was SOMEWHAT annoying but I got familiar with it and got over it very quickly (I am 15), but as I said Tau is more intuitive on the unit circle.

What protein are you trying to make? You would find what comes next in the sequence based on that if you can find the corresponding RNA code.

1. We live in a universe that does not require explanation. As someone that has never seen anywhere else, why do you assume that anything else exists or the universe needs an explanation for its existence? The world needs no justification for it to exist and doesn't have to make sense to anyone. When we talk about the universe we are speaking in terms of everything that exists, has existed, and ever will, therefore anything that existed "before" the universe, existed IN the universe

 

Forum for the discussion and examination of the rational foundations of religion.

This is as the forum description says, but as I am new to these forums I wont attempt to answer any further lol

It doesn't really matter all that much, When working with unit circles and angles I find Tau is easier to work with and more intuitive, but if you want the circumfrence of a circle you can use pi. I prefer pi when I'm converting degrees and radians, after which I can easily translate to Tau if I was translating to radians. The mental translation is quite simple.

Why would one want to live their lives, make decisions, and base their belief system on the worship of a being that could possibly rationally exist simply because it cannot be disproven. Despite the fact that they have not seen, heard, or logically proven their existence whatsoever?

Thanks for the welcome , I'm sure I will

Hi my name is Kagen, I'm 15 years old and my main favorite field of science is biology, although I love ALL fields of science include computer science and programming.