12
edits
Changes
Jump to navigation
Jump to search
Line 111:
Line 111: + + +
additional perspectives
::<math>\int_0^1 \chi_{\mathbb Q}(x) \, dx = 0</math>
::<math>\int_0^1 \chi_{\mathbb Q}(x) \, dx = 0</math>
Unfortunately, this function has so many discontinuities that its Riemann integral is not defined. However, if we use the Lebesgue integral instead, the function is integrable as hoped, and has the expected value <math>0</math>.
Unfortunately, this function has so many discontinuities that its Riemann integral is not defined. However, if we use the Lebesgue integral instead, the function is integrable as hoped, and has the expected value <math>0</math>.
==Critisism==
Many Christians have criticised integral calculus for being sacrilegious. The reason is that the integration very closely resembles the letter ''S''. This is believed to stand for ''Satan'' and this is probably the reason why the ultra-liberals and radical leftists American Universities use integrals so often. However, some have also theorised that the ''S'' stands for ''Saint Peter'', in which case integration would be accepted among the righteous. This is still a subject of great debate among mathematicians.
==See also==
==See also==