In studies examining the dynamic bending of beams , "zxdz" is part of the formulation for scalar equations of motion. It specifically appears in the integration of stress components (like Xxcap X sub x
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In the field of partial differential equations, similar notations are used to establish Carleman estimates for stochastic Grushin operators . These are used to prove the "null controllability" of systems—essentially determining if a system can be steered to a zero state within a finite timeframe. In the field of partial differential equations, similar
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