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[2] [3] [4] As a consequence, only certain measurements can determine the value of an observable for some state of a quantum system. In classical mechanics, any measurement can be made to determine the value of an observable. The relation between the state of a quantum system and the value of an observable requires some linear algebra for its ...
A system is said to be observable if, for every possible evolution of state and control vectors, the current state can be estimated using only the information from outputs (physically, this generally corresponds to information obtained by sensors). In other words, one can determine the behavior of the entire system from the system's outputs.
A study in 1996 at the University of Kentucky used a foraging device to test social learning in pigeons. A pigeon could access the food reward by either pecking at a treadle or stepping on it. Significant correspondence was found between the methods of how the observers accessed their food and the methods the initial model used in accessing the ...
The relation between reachability and controllability is presented by Sontag: [3] (a) An n-dimensional discrete linear system is controllable if and only if: R ( 0 ) = R k ( 0 ) = X {\displaystyle R(0)=R^{k}{(0)=X}} (Where X is the set of all possible values or states of x and k is the time step).
ABA is an applied science devoted to developing procedures which will produce observable changes in behavior. [3] [9] It is to be distinguished from the experimental analysis of behavior, which focuses on basic experimental research, [10] but it uses principles developed by such research, in particular operant conditioning and classical conditioning.
Many observable variables can be aggregated in a model to represent an underlying concept, making it easier to understand the data. In this sense, they serve a function similar to that of scientific theories. At the same time, latent variables link observable "sub-symbolic" data in the real world to symbolic data in the modeled world.
For a good example of situation sampling, see this study by LaFrance and Mayo concerning the differences in the use of gaze direction as a regulatory mechanism in conversation. In this study, pairs of individuals were observed in college cafeterias, restaurants, airport and hospital waiting rooms, and business-district fast-food outlets.
Indeed, introductory physics texts on quantum mechanics often gloss over mathematical technicalities that arise for continuous-valued observables and infinite-dimensional Hilbert spaces, such as the distinction between bounded and unbounded operators; questions of convergence (whether the limit of a sequence of Hilbert-space elements also ...