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Functions and integrals
In §2 a mapping of nonnegative functions is defined to be an integral if it has the following properties: <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper I left-parenthesis f right-parenthesis greater-than-or-slanted-equals 0 comma upper I left-parenthesis f right-parenthesis greater-than normal infinity"> <mml:semantics> <mml:mrow> <mml:mi>I</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>f</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>⩾<!-- ⩾ --></mml:mo> …