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It's π Day! It's π Day! Yeaaahhhh!!! 🥳

(I resurrected this older post...)
Happy birthday π !

Today (3/14) is π day.

(1) π is equal to the ratio of the circumference of a circle and its diameter.

(2) π is a transcendental number. Briefly, this means that we do not know its value, and we never will, haha. π, you’ll always be a mystery.

(3) π is (almost certainly) a normal number: the distribution probability of digits within π is random. If we assign a pair of consecutive digits to a character (such as "65"="A", cf. ASCII code table) we will find the contents of each book that has ever been written (even bad books, those behind the front row on our shelves) somewhere along the digits of π, and also any book that has not been written, and all variations thereof. There will be a version of Hamlet where Ophelia is called Helen, and one where Hamlet had killed the King himself.

(4) π is more fundamental than the physical constants. If the universe did not exist, the physical constants would loose their meaning, but π would remain the same, [u]indicating that spirit is more fundamental than matter[/u]. We, as humans, can change a lot of things, but we can’t change π. Even God cannot change π, sorry Sir, You may have created the world but You did not create π. It’s always been there. And, no offense, o Lord, but you don't know the value of π either.

(5) π is considered to be one of the five fundamental numbers: i, e, π, 1, and 0. These numbers appear in the beautiful equation e^(i*π) + 1 = 0 (Gauss? Euler? Don’t remember.)


Happy birthday π!
You’re one of a kind, and we are big fans!

We love you π !
Matt85 · 36-40, M
Did you know that when you view 3.14 in a mirror:...

helenS · 36-40, F
@Matt85 I didn't know. Wow 😳
Matt85 · 36-40, M
@helenS Life is mysterious!
ArishMell · 70-79, M
Lovely way of putting it, though you lost me for while with 3/14 until I twigged first the American way of writing a date in numbers: month/day/year, not day/month/year as in Britain; then to replace the solidus with a decimal point..

By the British date system, Pi Day would be 22nd of July!

'
Maybe the number we call by that dear little Greek letter is the Lord's little joke!. As a number though it crops up all over the place too, of course, as well as circles, cylinders and spheres; particularly in electrical and acoustics calculations - they are also very friendly with sines, cosines and logarithms.
.

There is a purely co-incidental but rather neat practical trick to calculating an area of a circle to 4 decimal places when you are given the diameter not radius.

Area = πR^2 = (πD^2)/4 = 0.7854D^2.

Now look at a numerical (calculator) keypad...
sarabee1995 · 26-30, F
@ArishMell What an I missing???? What does 22 July have to do with Pi??

22/7?

Oh wait! Never mind!
22÷7=3.14 ... Got it. 😁
ArishMell · 70-79, M
@sarabee1995 @helenS I recall a former work colleague describing one day that when helping his daughter with her Maths homework, he was shocked to find the teacher had told the pupils to take π as 3.

Yet surely they had all been taught vulgar fractions and/or decimals well before advancing to π calculations?

Just Three! Poor little π.
helenS · 36-40, F
@ArishMell A thousand decimal places are as far away from the truth of π as just one digit.
Jlhzfromep · M
Happy PI day

Euler's identity is so beautiful it may end up being my first tattoo.
helenS · 36-40, F
@SooperSarah Math is addictive. Some are obsessed with Euler's identity.
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sarabee1995 · 26-30, F
@helenS omg! I love it!
@helenS I'm not quite that obsessed lol
DeWayfarer · 61-69, M
Yet no mention of e-day! 2/7! 😞

[quote]Whip out your TI-87 calculator this e-Day, February 7, and spot the little button that bolsters logarithmic and exponential functions on the daily. While you may not be too familiar with e, you’re surely acquainted with its more famous cousin, pi. Just like pi, e is an inexplicably recurring number in the world of mathematics. It has a never-ending chain of decimal points, the beginning of which is 2.718281828, and on and on it goes. This holiday is celebrated on 2/7 for the obvious reason that the date holds the same digits as e rounded to the nearest tenth.
History of e-Day

This complex algebraic riddle has been toyed with for over 400 years but has only fully been understood and defined for about 300. It first appeared in 1618 as a vague reference in the papers of Scottish mathematician John Napier. In a roundabout way, Napier hinted at the potential for a recurring constant by sharing a number of logarithms that he had solved using the number yet, infuriating many of his readers, he did not share the number itself.

Later, in 1683, Jacob Bernoulli was officially credited for unveiling the analytical gem when he attempted to find the answer to a generic logarithmic expression, the answer to which was — you guessed it — e. For a brief time, followers of Bernoulli obscurely named the number b in their frequent correspondence. That was until Leonhard Euler ascribed the first letter of his surname to the constant and definitively named it the base of all logarithmic expressions in 1731. To this day, the constant is called e in remembrance of Euler.

While e-Day cannot be traced back to any particular calculus enthusiast and we aren’t quite sure how long it’s been celebrated, we can understand the logic behind assigning this weight-bearing numeral to its digit twin. In 2018, a University of Portland student realized that the numeric date was 2/7/18, which also happens to be the first four digits of the beloved constant. Analytical minds all over the world were smugly pleased by this observation and constant e was perhaps more celebrated than ever before as many math-inclined minds discussed the coincidental alignment of such a calendar match-up. If you too want to join the fraternity of mathematicians, head to Scholaroo for a list of mathematics scholarships.

e-Day timeline

1618 Beating Around the Bush

While working with logarithms and exponents at the height of his career, John Napier unwittingly uses constant e to solve a series of equations.

1683 Meeting of Chance

While calculating a problem about continuous interest, Jacob Bernoulli discovers the recurring numerical constant 2.7182818, or e.

1731 Line in the Sand

After much back and forth for over a century, Leonhard Euler names e the basis for all logarithmic functions.

2018 Numeric Irony

Sending many math majors into a tizzy, Aziz Inan of the University of Portland recognizes a ‘double consecutive e-day’ on 2/7/18.[/quote]
helenS · 36-40, F
@DeWayfarer exp(x) is equal to its own derivative, and anti-derivative. I think that's essentially why.
DeWayfarer · 61-69, M
@helenS true...

Some quick things about [i]e[/i].

https://www.nature.com/articles/s41567-019-0655-9


...

Euler’s identity e^(iπ) + 1 = 0.
helenS · 36-40, F
@DeWayfarer What a nice summary! Thank you!
"Whether e (or π) is a normal number remains to be determined." – I would be so great if e and π were normal. We'll probably never know.
SW-User
Happy π day. Also known as cake day to me!
helenS · 36-40, F
@SW-User Bon appetit 😋
basicpoet33 · 70-79, M
A worthy day to celebrate!
DeWayfarer · 61-69, M
Yet π is constantly changing in it's infinite number of digits. Figure out the last digit of π! 🙃

Only thing more changing is change itself. Change changes like the second derivative of all infinite functions. Including π!
Pfuzylogic · M
I remember this as the day that celebrated the birth of Einstein and the passing of a particular fellow that was afraid of AI!
I hope you feasted on a delectable and unresolved pie Helen!
helenS · 36-40, F
@ElRengo π is worth a million fireworks!
ElRengo · 70-79, M
@helenS
Of course it is!
The pic is just a celebration.
SW-User
But it's 14/3 🤔
helenS · 36-40, F
@SW-User Actually 14/3=4.67
SW-User
@helenS now it makes sense
ArishMell · 70-79, M
@SW-User Helen is playing with the date, and its way round might depends on which side of the Atlantic Ocean you are on! :-)
ElRengo · 70-79, M
Happy Pi Day!

Exception made of the 4th poin that is a bit problematic......agree.
Babaloo64 · 41-45, M
Informative post.
helenS · 36-40, F
@Babaloo64 Thank you! Thank you! Glad my post is still popular 🌷
Babaloo64 · 41-45, M
@helenS you are welcome
hunkalove · 61-69, M
I'll have apple!
helenS · 36-40, F
@hunkalove Apple-π! 🤭
exexec · 61-69, C
I got pecan.
Wish me luck. I'm going to look for pie that is low enough carb should be a dessert on Taco Tuesday.

 
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