Global industrial chain resilience refers to the capability of chains, on a global scale, maintain or restore their normal operations and value-creating ability in face various risks uncertainties. This is crucial for addressing crises, promoting economic growth, upholding national security. However, there currently lack unified standards methods measuring enhancing resilience. study constructs...

this paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. the cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. hamilton's principle is used to d...

In this paper, we attempt to establish quantum measurement theory in the Heisenberg picture. First, we review foundations of quantum measurement theory, that is usually based on the Schrödinger picture. The concept of instrument is introduced there. Next, we define the concept of system of measurement correlations and that of measuring process. The former is the exact counterpart of instrument ...