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Exploring Links between Brain Image-Derived Phenotypes and Accelerometer-Measured Physical Activity in the UK Biobank

Zhang D, Leroux A, Crainiceanu CM, Lindquist MA.   +3 more
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Canonical variables in relatilistic quantum theory

Il Nuovo Cimento, 1961
A simple general method is presented for the explicit determination of the operator corresponding to « position » in any relativistic one-particle theory. It works in all the well known cases.
Bardakci, K., Acharya, R.
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Ptime canonization for two variables with counting

Proceedings of Tenth Annual IEEE Symposium on Logic in Computer Science, 2002
We consider infinitary logic with two variable symbols and counting quantifiers, C/sup 2/, and its intersection with PTIME on finite relational structures. In particular we exhibit a PTIME canonization procedure for finite relational structures which provides unique representatives up to equivalence in C/sup 2/.
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The random-variable canonical distribution

Journal of Physics A: Mathematical and General, 2001
Summary: An alternative interpretation to Gibbs' concept of the canonical distribution for an ensemble of systems in statistical equilibrium is proposed. Where Gibbs' theory is based upon a consideration of systems subject to dynamic law, the present analysis relies neither on the classical equations of motion nor makes use of any a priori probability ...
Beghian, L. E., Sheldon, E.
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A Monte Carlo Study of the Stability of Canonical Correlations, Canonical Weights and Canonical Variate-Variable Correlations

Multivariate Behavioral Research, 1975
A Monte Carlo study was run to check the stability of canonical correlations, canonical weights, and canonical variate-variable correlations. Eight data matrices were selected from the literature for the canonical analyses, with the number of variables ranging from 7 to 41.
R S, Barcikowski, J P, Stevens
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Representation of States in a Field Theory with Canonical Variables

Physical Review, 1960
We investigate the properties of a functional representation of states for a self-coupled scalar field theory. The assumption is made that all states can be generated by applying functionals of the field at a fixed time ($t=0$) to the vacuum state. It is shown that for the class of models considered the Hamiltonian is uniquely determined by the vacuum ...
Coester, F., Haag, Rudolf
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Canonical variables for the Dirac theory

Letters in Mathematical Physics, 1985
A new canonical structure for Dirac's theory is proposed. The new configuration space A is a real, four-dimensional subbundle of the spinor bundle. A Lagrangian defined on Q describes a theory equivalent to the Dirac one. In this way we obtain a theory without second-type constraints.
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Canonical systems in several variables

1996
In this chapter we focus on Lie algebras of symmetric type, described in the first section. From these algebras, the quotient representations yield homogeneous spaces, in particular symmetric spaces. The generating functions for the basis of the associated representations are called coherent states.
Philip Feinsilver, René Schott
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