Understanding imaginary numbers
1:23
Understanding imaginary numbers
11.7K views8 months ago
YouTubeMichael Penn
Things were going GREAT. We had counting numbers. Negatives. Fractions. Irrational numbers. Then math hit x² = -1 and the real number line had nowhere left to go. So instead of extending the line farther… mathematicians gave numbers an entirely new direction. That one move turns the number line into the complex plane — and suddenly i² = -1 has a visual meaning. #ImaginaryNumbers #ComplexNumbers #Math #Mathematics #MathTok #STEM #Algebra #LearnMath #Education #NumberTheory
3:13
Things were going GREAT. We had counting numbers. Negatives. Fractions. Irrational numbers. Then math hit x² = -1 and the real number line had nowhere left to go. So instead of extending the line farther… mathematicians gave numbers an entirely new direction. That one move turns the number line into the complex plane — and suddenly i² = -1 has a visual meaning. #ImaginaryNumbers #ComplexNumbers #Math #Mathematics #MathTok #STEM #Algebra #LearnMath #Education #NumberTheory
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Graham’s number is one of the largest numbers ever used in a mathematical proof. It is so unimaginably huge that if you tried to write down every digit, there would not be enough atoms in the observable universe to store all those digits. To understand Graham’s number, first imagine the number 1,000. That is small. Now imagine one billion. Much bigger, but still easy to write. Now imagine 10 multiplied by itself 100 times. That gives you a number with 101 digits. Already much bigger than a billi
0:21
Graham’s number is one of the largest numbers ever used in a mathematical proof. It is so unimaginably huge that if you tried to write down every digit, there would not be enough atoms in the observable universe to store all those digits. To understand Graham’s number, first imagine the number 1,000. That is small. Now imagine one billion. Much bigger, but still easy to write. Now imagine 10 multiplied by itself 100 times. That gives you a number with 101 digits. Already much bigger than a billi
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