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(a,b) ∈ f is usually denoted by f(a) = b, and we say that f maps a to b Another way to denote that f maps a to b is f a ˙→ b;Sp e ci a l i ze d e xp o su re C o u rse w o rk co n st i t u t e s t h e b u l k o f t h e p ro g ra m w i t h p a rt i ci p a t i o n i n o ri g i n a l re se a rch st ro n g l y e n co u ra g e d B D I G E S T O F P R O G R A M A N D R E Q U I R E ME N T SL ( f, a, b) ≤ inf { ∫ a b t ( x) d x ∣ t is a step function with t ≥ f } = U ( f, a, b) Definition The function f is said to be Riemann integrable if its lower and upper integral are the same When this happens we define ∫ a b f ( x) d x = L ( f, a, b) = U ( f, a, b) A criterion for Riemann integrability Elegante By F P Journe 48 Mm Titalyt Calibre 1210 B e a u t i f u l