Background Recent studies have indicated that functional connectivity is dynamic even
during rest. A common approach to modeling the dynamic functional connectivity in whole …

Spin is a fundamental degree of freedom, which was discovered by Dirac for an electron in
his relativistic quantum mechanics, known as the Dirac equation. The origin of spin for a …

Telah diturunkan persamaan gerak pesawat Atwood dengan persamaan Lagrange. sistem
mekanik dengan kendala holonomik untuk pesawat Atwood yang bergerak dapat …

First, the present work is concerned with generalising constructions and results in quantum
field theory on curved spacetimes from the well-known case of the Klein-Gordon field to …

Generative flows models enjoy the properties of tractable exact likelihood and efficient
sampling, which are composed of a sequence of invertible functions. In this paper, we …

The coherent state from a laser source has spin and orbital degrees of freedom, which allow
an arbitrary superposition state among orthogonal states with varying amplitudes and …

Brain network analyses have exploded in recent years and hold great potential in helping us
understand normal and abnormal brain function. Network science approaches have …

This thesis studies, broadly, the role of symmetry in elucidating structure. In particular, I
investigate the role that automorphisms of algebraic curves play in three specific contexts; …

We introduce a new, to our knowledge, numerical model based on spectral methods for
analysis of fluorescence recovery after photobleaching data. The model covers pure …

In this dissertation, we apply data-driven reduced-order modeling to several example
systems. In each case, we consider systems with some mathematical structure we hope to …