My favorite series, Madhava’s series which dates to around 1400, 275 years before Gregory rediscovered it:
Pi= 4-4/3+4/5-4/7+4/9-4/11+…
Pi= 4-4/3+4/5-4/7+4/9-4/11+…
OT: It’s Pi Day!
- Thread starter LionJim
- Start date
e^x=e^xdx
e^x=e^xdx
secant tangent cosine sine
3.14159
MIT fight song
e^x=e^xdx
secant tangent cosine sine
3.14159
MIT fight song
I like their Agave Nectar. It's great in a Margarita.
For all practical purposes 3.14159 is good enough. Lindemann proved that pi is transcendental in 1882. That's the most important thing about pi, it's transcendental. Hermite had proved in 1873 that e was transcendental. Hermite was a much more proficient mathematician than Lindemann and imo could have proved that pi was transcendental if he had wanted to continue on that path. Hermite was a universally beloved figure in the field and it's likely that he left the proof of pi being transcendental to others out of the simple goodness of his heart. He had already proven that e was transcendental and pi would easily follow from that proof. (It did.) Hermite, a great great man.
So Lindemann is known for two things: using Hermite's work to prove that pi is transcendental and for being Hilbert's advisor.
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Potato chips are topologically equivalent to the unit disc, which, of course, has circumference 2pi. Just a stab at an explanation, I honestly dunno about your query.
It's also the 134th anniversary of America's largest lynching. Ironically, eleven Italian-Americans lost their life on "Pizza Pie Day" in New Orleans
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Christopher Columbus – An Italian Inspiration
Christopher Columbus is a symbol of hope for Italian-Americans. A symbol that recalls the horrors of discrimination and bigotry against Italians and their fight to be accepted.
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I thought transcendental was a form of meditation. I had to look up the definition of a transcendental number.
"A number that is not the root of any integer polynomial. Every real transcendental number must also be irrational, since a rational number is the root of an integer polynomial of degree one."
I hope that clears it up for everybody.
Derivative, Integral, F(x)
We're the geeks from DHS
Secant, tangent, pi r squared
you better run, you know you're scared
X=5/3 is a solution to 3x-5=0. So 5/3 is algebraic (not transcendental). Every rational number x=a/b is a solution to bx-a=0, and is thus algebraic. X=sqrt(2) is irrational and algebraic but not transcendental, as it is a solution to x^2-2=0. Pi is transcendental, as you can’t find any polynomial equation with integer coefficients that x=pi will satisfy.
Old Forge pizza-pie day! Got me a large with onion from Revello’s! Coupla Stella’s and pizza… Fridays in Lent are awesome
If I was tested and asked to solve a mathematical equation without a slide rule, and before calculators were available to the student - think mid-sixties.
Someday you Liberal Artists (BA's) will need the help of nerdy BS's.I think this goes without saying…but:
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A woman once told me it is the answer to Valentine’s Day. She called it steak and a BJ Day.
Today is my oldest granddaughter's birthday is today (13). My son-in-law has his PhD in Biomechanical Engineering from Duke, so obviously he was thrilled with the date.