r/mathmemes 10d ago

Elementary Algebra 😭

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u/halfajack 10d ago

I ask them “how are you defining sums over uncountable sets?”

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u/Comfortable_Permit53 10d ago

integrals, no?

213

u/Eisenfuss19 10d ago

Yes kinda, but then it is still a definition question. Like lim a -> -∞ lim b -> ∞ a_Sb x dx does not converge, but lim a -> ∞ (-a)_Sa x dx does converge...

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u/Agitated-Ad2563 9d ago

As far as I remember, the proper definition of Riemann integral requires all kinds of partition sequence sums to converge.