The transformer can convert one kind of electric energy such as AC current and voltage into another with the same frequency. Knowledge graph (KG) describe various entities concepts in real world their relationships, it be considered a semantic network for power system transformer. Hence, is vital importance to analyze design standard based on knowledge graph. To this end, we firstly examine KG ...

We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions perimeter penalisation. Under our hypotheses, includes a term which is absolutely continuous with respect to Lebesgue measure term, but no additional singular term. also study some dimension reduction providing results thin films.