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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 !
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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 It's interesting that [i]e[/i] has no meaning in geometry.
DeWayfarer · 61-69, M
@helenS yet it's found throughout nature.
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.