Mathematic Symbols

Description

$\xi =\left(I\cup \left\{A\right\}.E\right)$

Network graph

Ι

n data provider set

A

Data submitter (transmission)

E

Network communication set

$T_e$

Measurement number for e iteration

$r_{i,e,t}$

i raw data record in e iteration

$R_{i,e}$

i raw data provider in e iteration

$\mathcal{R}$

Raw data domain

$\alpha$

Cumulative function

$fs:{\mathcal{R}}^{T_e}\to S^{T_e}$

Summarizer function

$s_{i,e,t}$

Data record summarizer

$S_{i,e}$

i summarizer date in e iteration

S

Summarizer domain data

${ϵ}_{e,t}$

e local error in iteration and t time

${\epsilon }_{e,t}$

e global error in iteration and t time

$G\complement I$

Data groups

m

Data groups numbers

$a_{e,t}^G$

Internal data integration groups

$a,a_1,a_2$

Data supplier (transmitter and receiver)

${ϵ}_{e,t}^G$

Local group error for G group

${\epsilon }_{e,t}^G$

Total group error for G group