[ Which one do you prefer working with ] Pi or e (1 Viewer)

[Forbidden.]

pi because i knew about it before e. still i dont know whats e lol..

Euler's number, the inverse of log_ex (or ln x) ... part of Euler's formula e^iθ = cos θ + i sin θ ...

 

[darkliight]

Euler's number, the inverse of log_ex (or ln x) ... part of Euler's formula e^iθ = cos θ + i sin θ ...

e is a number, not the inverse of a function (especially one whose definition relies on the definition of e ). I guess the most intuitive way to 'discover' the number e is to consider the derivative of the functions 2^x and 3^x. You'll be left with some constant, < 1 and > 1 respectively, times your original function. So we reason there must be some number between 2 and 3, call it e, such that the function e^x leaves you with the constant 1 times your original function when you differentiate.

P.S. I cringe everytime someone calls it Euler's number.

 

[hollyy.]

pi because i knew about it before e. still i dont know whats e lol..

e = 2.71 blah blah blah

 

[Trebla]

e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ............
e = lim _{n ->∞} (1 + 1/n)ⁿ

π = 4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + ..........

Any more?

 

[Forbidden.]

e = 1 + 1/2! + 1/3! + 1/4! + ............
e = lim _{n ->∞} (1 + 1/n)ⁿ

π = 4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + ..........

Any more?

pi²/6 = 1 + 1/2² + 1/3² + 1/4² + ...



<3

Wha ... what the fuck? Constants being expressed as sums?
I thought it was peculiar that the sine and cosine function could be expressed as a sum of a Taylor series (whatever it was called).
Damn integration.

 

[buchanan]

e = 1 + 1/2! + 1/3! + 1/4! + ............

This is incorrect.

e = 2 + 1/2! + 1/3! + 1/4! + ............

This is because e = 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + ............

Anyway, I wrote some notes on e at

http://www.angelfire.com/planet/threeunit/factsaboute.pdf

http://www.angelfire.com/planet/threeunit/e.pdf

 

[Odbe]

I love pi but e is quicker for me to write and less likely to turn out illegible if I'm writing quickly.

 

[marcquelle]

i like pie

and π =

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

i learnt it in year 9 maths when it was posted up around the room and was often bored so i learnt pi to 100 places off by heart

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[tommykins]

回复: Re: [ Which one do you prefer working with ] Pi or e

still doesn't beat this girl who can recite it to 625 places at our school.

she's called 'pi dude'. haha

 

[tommykins]

回复: Re: 回复: Re: [ Which one do you prefer working with ] Pi or e

that's... incredibly sad.

tell me about it- was humorous when we decided to use our walkway and write out all the digits though.

 

[sirfeathers]

Pi. Go the Greeks!

 

[tacogym27101990]

theres some savant dude that recited pi to 20,000 digits on some thing called pi day
took him like 8 hours
he learnt it in 2 weeks aswell

 

[Forbidden.]

Damn can't change poll vote, e is getting more interesting now.

e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ............
e = lim _{n ->∞} (1 + 1/n)ⁿ

π = 4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + ..........

Any more?

Guaranteed my bank manager knows that limit you mentioned.

well thats where some of them come from

tan^-1 x = x - x³/3 + x⁵/5 - x⁷/7 + ...

sub in x = 1, and you'll get a series for pi/4

Now that I am learning Taylor polynomials and series this stuff is actually pretty cool.

 

[bored of sc]

Re: 回复: Re: [ Which one do you prefer working with ] Pi or e

still doesn't beat this girl who can recite it to 625 places at our school.

That's not sad, that's amazing!

To OP, you should put in a third and a fourth option "Both" and "Neither".

 

[pLuvia]

Pi even goes beyond maths and into the economic world it also is used to be a symbol for inflation Except that doesn't mean inflation is equal to 3.142 blah blah blah

Other than that, e is so much more useful

 

[tommykins]

e is awesome but i love pi, just the way of writing it is awesome.

 

[Timothy.Siu]

definitely pi, but maybe coz i haven't really learnt e that much yet...but pi is cool, at least u can eat it......

 

[studentcheese]

pi.The use of pi in integration is really elegant. e is annoying. I find it confusing doing differentiation with e.

 

[gcchick]

pi ftmfw.

 

[possessionless]

pi