Congratulations to everyone who is now finally using the word "exponentially" correctly
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The Eiffel Tower is not "exponentially taller" than you. The Eiffel Tower isn't even growing. I will die on this hill
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The correct applied mathematics term for this phenomenon is, "taller" https://twitter.com/TetraspaceAdmn/status/1241044417110310914 …
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2^64 is exponentially larger than 64 because the obvious path from one to the other is one of exponentiation i think the vernacular "exponentially larger" is a fair way to say "is so much larger that given the context the process must be involving exponentials somewhere"
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(or i guess 2^64 is exponentially larger than 2)
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I am the same height as the Eiffel tower, up to a constant.
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And in general: no quantities are exponential except with respect to some other variable, usually time. In particular: nothing is “exponentially better” than anything else!
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I saw a presentation that not only had enough steel been used for a data center to make an Eiffel tower, but the exponential growth in data centers now meant enough had been used for 20, which was illustrated by a picture of Paris with 20 Eiffel towers. It was dystopian.
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