Formula comparison Between TRCs And TCCs

where...where...
TrisaTRCTr \: is\: a \:TRC
MisaMassID M \:is \:a\: MassID
wistheweightofaMassIDorGasIDw\: is \:the\: weight\: of \:a\: MassID \:or \:GasID
TcisaTCCTc\: is \:a \:TCC
GisaGasIDG is a GasID
NistheamountofMassIDsorGasIDsinaTRCorTCC,respectivelyN \:is \:the\: amount\: of \:MassIDs \:or\: GasIDs \:in\:a \:TRC \:or\: TCC,respectively

Such that TRCs are expressed as:

1. Tr=M0,M1,...,MN Tr={M_0,M_1,...,M_N}

2. xTNxw=(w0)+...+(wN)=1,000kgs(1ton)ofrawmaterial\sum_{x∈T}^N x_w=(w_0) + ...+ (w_N)=1,000 \:kgs (1 ton) \:of \:raw \:material

And, TCCs are expressed as:

3. Tc={G0,G1,...,GN} Tc={\{G_0,G_1,...,G_N\}}

4. xTNxw=(w0)+...+(wN)=1,000kgs(1ton)ofavoidedCO2emissions\sum_{x∈T}^N x_w=(w_0) + ...+ (w_N)=1,000 \: kgs (1 ton) \: of \: avoided\: CO2 \: emissions

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