# 💡Energy Generation Analysis and Correlation

It is crucial for Solareum to dissect the lowest level details around renewable energy generation, leveraging state-of-the-art technology to dissect this data and unveil concealed connections. Solareums proprietary algorithms and data analytics will deliver a comprehensive understanding of energy generation dynamics, to then be leveraged by SolareumChain for the purposes of validation and security. We are redefining the boundaries of technology in energy analysis, enabling us to fuel innovation and optimize our blockchain for a more sustainable future.

Let Ei(t) be an energy generation function parameterized by time

corresponding to validator i ∈ N, where 1 ≤ i ≤ V (t), where V (t) ∈ N is the total number of validators at time t ∈ [ti−1, ti ]. Consider the well-ordered time-parameterized sequence of functions

determined by an ordering norm wherein,

and define the maximum energy generation from a validator as

Then across the union of all time intervals

there exists the following inequality upper bounding the total energy generation

More precisely, the exact total energy generation calculation is

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