In mathematics, in the theory of differential equations and dynamical systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly or exponentially unstable if the linearization of the equation at this solution has the form [\frac{dr}{dt}=A r] , where A is a linear operator whose spectrum contains points with positive real part. If there are no such eigenvalues, the solution is called linearly, or spectrally, stable.
Human reliability is very important due to the contributions of humans to the resilience of systems and to possible adverse consequences of human errors or oversights, especially when the human is a crucial part of the large socio-technical systems as is common today. User-centered design and error-tolerant design are just two of many terms used to describe efforts to make technology better suited to operation by humans.
A displacement is the shortest distance from the initial to the final position of a point P.
Thus, it is the length of an imaginary straight path, typically distinct from the path actually travelled by P.
Thus, it is the length of an imaginary straight path, typically distinct from the path actually travelled by P.
A 'displacement vector' represents the length and direction of that imaginary straight path.
