Trying to make math cool is like trying to make "not holding your breath for five minutes" cool: It already is, and anyone thinking otherwise struggles through life with significantly reduced mental abilities. Anyone born into a world based entirely on numbers with little dollar signs in front of them, then deciding they don't need to know numbers, is volunteering to be a very small one adding up to someone else's very big one.
But accounting is to math what diapers are to biochemistry: dealing with the stinking mess left by some unfortunate and immature side effects of being alive while doing it. Mathematics isn't cool in the same way spacetime isn't real estate. It's much bigger and more important than the ridiculous little structures we've erected on it. And anyone who doesn't understand how truly cool it is (2.725 K) simply doesn't appreciate the sheer scale of it.
ui
We found reality's programming language. Physics is the operating system, but it's written in equations. E=mc^2 defines large parts of reality in fewer bytes than it takes to say "my penis" and has similar effects on local spacetime, ladies (~ 90 percent, + gentlemen ~ 10 percent). But that's physics. There are pure mathematical equations which are just as capable of blowing your mind.
#1. The Most Beautiful Equation in The World
Euler's identity is regularly chosen as the most beautiful in existence. It isn't just an equation, it's the haiku of mathematics. It's the only artwork that can objectively prove itself true. It's a more beautiful embodiment of numbers than 7 of 9.
This contains more understanding of the truths of the universe than a Shaolin monastery full of Greek philosophers full of magic mushrooms. If you're ever contacted by aliens, shout it quickly: It's the only thing you can possibly say fast enough before they detect reality TV. It contains the five most important numbers there are, more fundamental truths of reality than any five pantheons you care to mention.
The imaginary unit is "i." When real numbers couldn't find the root of negative things, we found imaginary ones which could help us solve our problems. That's the calculation equivalent of a Disney movie. And if it sounds impossible, stop using electronics, AC power, and atoms, because imaginary numbers are essential for understanding all of them.
If pi is the keycode for space, Euler's constant "e" is the number of mathematics itself. The rate of change of e^x is e^x, making 2.71828 a perfect point in differentiation and integration, which are everything. Connecting calculus to numerals feels like connecting poetry to prehistoric pond water, but that's pretty much what happened: Something beginning with one trying to plus one to become two eventually led to everything we've ever known. The e is used to calculate so many things you'd swear it was Star Trek-nobabble. It's used in phasor notation, probability theory, calculus, compound interest, and more. It's so powerfully nerdy Google pledged to raise e billion dollars in their IPO.
So you've got the imaginary, oneness, nothingness and two irrational transcendental numbers. It could only be a better calculation of the meaning of life if it equaled 42. And it gets even smarter from there. e to the power of a complex number projects you into the complex plane. Which sounds like something you do to Superman villains when the writer thinks, "Damn, Superman doesn't kill anyone, but we really need to get rid of this guy."
Two dimensional pictures have horizontal and vertical. The complex plane does the same thing with uses realistic and imaginary. Every real number you've ever seen is just a line, an antiquated slide-rule for counting, while complex numbers are the full page where math draws pictures of pure intellect. e^ix draws a circle around the zero point on this complex plane. It's a more incredible imaginary landscape than Dali's.
Songho.ca
A curve hasn't been imagined by so many nerds since rumors of the Tomb Raider nude code
2pi takes you around a complete circle, so e^i pi is halfway round the circle at minus one. The formula combines transcendental truths with oneness to reveal nothing. Math is how humanity understands the former instead of the latter.
But accounting is to math what diapers are to biochemistry: dealing with the stinking mess left by some unfortunate and immature side effects of being alive while doing it. Mathematics isn't cool in the same way spacetime isn't real estate. It's much bigger and more important than the ridiculous little structures we've erected on it. And anyone who doesn't understand how truly cool it is (2.725 K) simply doesn't appreciate the sheer scale of it.
ui
We found reality's programming language. Physics is the operating system, but it's written in equations. E=mc^2 defines large parts of reality in fewer bytes than it takes to say "my penis" and has similar effects on local spacetime, ladies (~ 90 percent, + gentlemen ~ 10 percent). But that's physics. There are pure mathematical equations which are just as capable of blowing your mind.
#1. The Most Beautiful Equation in The World
Euler's identity is regularly chosen as the most beautiful in existence. It isn't just an equation, it's the haiku of mathematics. It's the only artwork that can objectively prove itself true. It's a more beautiful embodiment of numbers than 7 of 9.
This contains more understanding of the truths of the universe than a Shaolin monastery full of Greek philosophers full of magic mushrooms. If you're ever contacted by aliens, shout it quickly: It's the only thing you can possibly say fast enough before they detect reality TV. It contains the five most important numbers there are, more fundamental truths of reality than any five pantheons you care to mention.
The imaginary unit is "i." When real numbers couldn't find the root of negative things, we found imaginary ones which could help us solve our problems. That's the calculation equivalent of a Disney movie. And if it sounds impossible, stop using electronics, AC power, and atoms, because imaginary numbers are essential for understanding all of them.
If pi is the keycode for space, Euler's constant "e" is the number of mathematics itself. The rate of change of e^x is e^x, making 2.71828 a perfect point in differentiation and integration, which are everything. Connecting calculus to numerals feels like connecting poetry to prehistoric pond water, but that's pretty much what happened: Something beginning with one trying to plus one to become two eventually led to everything we've ever known. The e is used to calculate so many things you'd swear it was Star Trek-nobabble. It's used in phasor notation, probability theory, calculus, compound interest, and more. It's so powerfully nerdy Google pledged to raise e billion dollars in their IPO.
So you've got the imaginary, oneness, nothingness and two irrational transcendental numbers. It could only be a better calculation of the meaning of life if it equaled 42. And it gets even smarter from there. e to the power of a complex number projects you into the complex plane. Which sounds like something you do to Superman villains when the writer thinks, "Damn, Superman doesn't kill anyone, but we really need to get rid of this guy."
Two dimensional pictures have horizontal and vertical. The complex plane does the same thing with uses realistic and imaginary. Every real number you've ever seen is just a line, an antiquated slide-rule for counting, while complex numbers are the full page where math draws pictures of pure intellect. e^ix draws a circle around the zero point on this complex plane. It's a more incredible imaginary landscape than Dali's.
Songho.ca
A curve hasn't been imagined by so many nerds since rumors of the Tomb Raider nude code
2pi takes you around a complete circle, so e^i pi is halfway round the circle at minus one. The formula combines transcendental truths with oneness to reveal nothing. Math is how humanity understands the former instead of the latter.
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