Method for encoding and decoding variables in engineering problems

• An efficient and effective method for creating trial functions is presented. The exemplified a measurement function future power grids. A that connects 19 dimensional variables Connectives are found between quantity equations their geometric properties. Method generalization results in the classification of kind quantities. Dimensional analysis can be used those cases, where system describing problem to solve unknown. setup F ( Q 1 , … M ) = 0 relies on expertise researcher. researcher confronted with questions: which m dependent variable; what value ; chosen effective. new encoding-decoding disclosed has goal answer these three questions belongs exploration techniques help discovering governing equations. This based low complexity, high performing, well-established computer algorithms number theoretic functions. real-world by searching positively homogeneous models wave phenomena, electromagnetic electromechanical thermodynamic phenomena temporal variation density considered its form called second order partial derivative energy respect time denoted ∂ 2 W r t . generates u π 9 design experiments. validation this performed through application two cases: simple pendulum energy. efficiency, effectiveness, completeness compared classical modern analysis. advantage over state-of-the-art methods requiring less dimensionless quantities k as arguments K when modeling problems. lattice theory while linear algebra.