Observable and Unobservable Mechanical Motion

Observable Implications of Unobservable Variables∗

Example 1.1 (Statistics) Charlie hands an urn containing one ball to Ann and another urn containing one ball to Bob. Ann and Bob are then allowed to look in their respective urns to see the color of the ball inside–White or Black. Charlie remembers that he put the same color ball in both urns, but cannot remember which color that was. Let the sets of possible outcomes for Ann and Bob be Xa = {W...

Systemic Stability of Housing and Mortgage Market: From the observable to the unobservable

Making the Unobservable, Unobservable

Behavioural equivalences of various calculi for modelling distributed systems differ significantly because the properties which can be observed through interaction depend heavily upon their mode of communication. A typical approach to describing the semantics of communicating processes is to provide a labelled transition system (lts) which captures the interaction potential of the individual pr...

Observable and Unobservable Household Sharing Rules: Evidence from Young Couples' Pocket Money

Observable and Unobservable Household Sharing Rules: Evidence from Young Couples' Pocket Money The leading evidence against the unitary household models is that "who gets what" is significantly dependent upon "who earns how much." However, it is difficult to pin down the causal effect of relative earnings on intra-household resource allocation because households jointly decide both labor supply...

Bounding the Distance of a Controllable and Observable Systemto an Uncontrollable or Unobservable

Let (A;B;C) be a triple of matrices representing a time-invariant linear system _ x(t) = Ax(t) +Bu(t) y(t) = Cx(t) under similarity equivalence, corresponding to a realization of a prescribed transfer function matrix. In this paper we measure the distance between a irreducible realization, that is to say a controllable and observable triple of matrices (A;B;C) and the nearest reducible one that...