Understanding hemodynamics with seven variables

Understanding exercise hemodynamics

Finite Linear Groups in Seven Variables

If G is a finite group which has a faithful complex representation of degree n it is said to be a linear group in n variables. This is equivalent to saying G is a finite group of complex linear transformations. I t is customary to consider only unimodular linear transformations. For n ^ 4 these groups have been known for a long time. An account may be found in Blichfeldt's book [ l ] . For n = ...

Understanding Scintillation of Intraday Variables

Intraday Variability of compact extragalactic radio sources can be interpreted as quenched scintillation due to turbulent density fluctuations of the nearby ionized interstellar medium. We demonstrate that the statistical analysis of IDV time series contains both information about sub-structure of the source on the scale of several 10 μas and about the turbulent state of the ISM. The source str...

Understanding Instrumental Variables in Models with Essential Heterogeneity

This paper examines the properties of instrumental variables (IV) applied to models with essential heterogeneity, that is, models where responses to interventions are heterogeneous and agents adopt treatments (participate in programs) with at least partial knowledge of their idiosyncratic response. We analyze two-outcome and multiple-outcome models including ordered and unordered choice models....

Supplement to “ Understanding Instrumental Variables in Models with Essential Heterogeneity ” ∗

Definition of the counterfactual Dj . This all takes place at the level of hypothetical manipulations. The space may have a probability measure or just a measure. For some J (Z) = j, define Aj (z) = {z | J (z) = j}. For each element in the set, we “project” μD (z) onto the set. If we embed the set in L , this is clear. Otherwise, there may be other constructions (e.g., embed in space L and for ...