Nuprl Definition : prod-metric

prod-metric(k;d) ==  λv,w. Σ{mdist(d i;v i;w i) | 0≤i≤k - 1}



Definitions occuring in Statement :  mdist: mdist(d;x;y),  rsum: Σ{x[k] | n≤k≤m},  apply: f a,  lambda: λx.A[x],  subtract: n - m,  natural_number: $n
Definitions occuring in definition :  lambda: λx.A[x],  rsum: Σ{x[k] | n≤k≤m},  subtract: n - m,  natural_number: $n,  mdist: mdist(d;x;y),  apply: f a
FDL editor aliases :  prod-metric

Latex:
prod-metric(k;d)  ==    \mlambda{}v,w.  \mSigma{}\{mdist(d  i;v  i;w  i)  |  0\mleq{}i\mleq{}k  -  1\}



Date html generated: 2019_10_29-AM-11_09_14
Last ObjectModification: 2019_10_02-AM-09_50_22

Theory : reals


Home Index