@article {IOPORT.05811475, author = {Pan, Changyuan and Ma, Hainan and Chen, Xueping and Zhang, Yingshan}, title = {Proof procedures for some theories in statistical analysis of global symmetries.}, year = {2009}, journal = {Journal of East China Normal University. Natural Science Edition}, volume = {2009}, number = {5}, issn = {1000-5641}, pages = {127-137}, publisher = {Periodical House of East China Normal University, Shanghai}, abstract = {Summary: This research gives an orthogonal symmetry demonstration to any system function and ensures demonstration formulas to system function variance. They are the kernel and foundation of statistical analysis of global symmetry. By studying how these symmetry functions work in the whole system, the symmetry of system functions can be understood better. Illustrated by examples, the symmetry of system functions is clearly shown by using Monte-Carlo calculations as a global sensitivity index of symmetry functions.}, identifier = {05811475}, }