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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