NeuropsychopharmacologyNeuropsychopharmacology, an interdisciplinary science related to psychopharmacology (study of effects of drugs on the mind) and fundamental neuroscience, is the study of the neural mechanisms that drugs act upon to influence behavior. It entails research of mechanisms of neuropathology, pharmacodynamics (drug action), psychiatric illness, and states of consciousness. These studies are instigated at the detailed level involving neurotransmission/receptor activity, bio-chemical processes, and neural circuitry.
Levi-Civita connectionIn Riemannian or pseudo-Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves the (pseudo-)Riemannian metric and is torsion-free. The fundamental theorem of Riemannian geometry states that there is a unique connection which satisfies these properties. In the theory of Riemannian and pseudo-Riemannian manifolds the term covariant derivative is often used for the Levi-Civita connection.
