Nuprl Definition : Riemann-sum
Riemann-sum(f;a;b;k) ==
  eval k' = k in
  let p ⟵ full-partition([a, b];uniform-partition([a, b];k'))
  in partition-sum(f;default-partition-choice(p);p)
Definitions occuring in Statement : 
default-partition-choice: default-partition-choice(p)
, 
partition-sum: partition-sum(f;x;p)
, 
uniform-partition: uniform-partition(I;k)
, 
full-partition: full-partition(I;p)
, 
rccint: [l, u]
, 
callbyvalueall: callbyvalueall, 
callbyvalue: callbyvalue
Definitions occuring in definition : 
callbyvalue: callbyvalue, 
callbyvalueall: callbyvalueall, 
full-partition: full-partition(I;p)
, 
uniform-partition: uniform-partition(I;k)
, 
rccint: [l, u]
, 
partition-sum: partition-sum(f;x;p)
, 
default-partition-choice: default-partition-choice(p)
FDL editor aliases : 
Riemann-sum
Latex:
Riemann-sum(f;a;b;k)  ==
    eval  k'  =  k  in
    let  p  \mleftarrow{}{}  full-partition([a,  b];uniform-partition([a,  b];k'))
    in  partition-sum(f;default-partition-choice(p);p)
Date html generated:
2016_05_18-AM-10_39_27
Last ObjectModification:
2015_09_23-AM-09_16_32
Theory : reals
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