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1:10
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Perimeter Institute for Theoretical Physics
What is an imaginary number?
Imaginary numbers may sound fictional, but they're fundamental to modern physics. Physicist Matthew Johnson explains how the number i, defined as the solution to x² + 1 = 0, helps scientists describe waves, quantum mechanics, and countless natural phenomena. Sometimes the strangest ideas are the most powerful.
21.2K views
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Watch full video
Imaginary Number Math
0:20
Graham's Number (G64) is an unimaginably, ridiculously large number that originated in Ramsey theory within mathematics. It is so massive that the observable universe literally does not contain enough physical space or atoms to write down its digits, even if every single subatomic particle were converted into a tiny pen and ink. To even begin writing Graham's Number, standard scientific notation fails completely. Mathematicians have to use special arrow notation, building a tower of exponents so
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Filler Graham's number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by mathematician Ronald Graham while solving a problem in an area of mathematics called Ramsey theory. To understand how unimaginably huge Graham's number is, compare it to numbers like: One million = 106 One billion = 10° The number of atoms in the observable universe = 1080 Graham's number is so much larger that even writing it in ordinary decimal form is physically impossible. The
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@Grassgreenbluesky5th Graham’s number is an unimaginably gigantic number that arises in a specific problem in Ramsey theory, a field of mathematics that studies patterns and order within large and complex systems. It was introduced as an upper bound for a solution to a problem involving high-dimensional hypercubes and the coloring of their edges. Although the exact answer to the problem is much smaller, Graham’s number serves as a proven limit beyond which the solution must lie. This number is s
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