General Notes

General Inorganic Nmr Notes

The signal intensity S is given by: S = γB0NB1g(v)/T Where N is the number of nuclei sampled, B1 is the field due to the applied radiofrequency radiation, and g(v) is the lineshape function. Hence, • S ∝ N (large sample and desirability of high isotopic abundance). • S ∝ γ (signals due to nuclei with large γ easiest to observe). • S ∝ B0 (advantage of maximum B0). • S ∝ 1/T (low temperatures gi...

Notes on General Topology

Part of the rigorization of analysis in the 19th century was the realization that notions like convergence of sequences and continuity of functions (e.g. f : R → R) were most naturally formulated by paying close attention to the mapping properties between subsets U of the domain and codomain with the property that when x ∈ U , there exists > 0 such that ||y− x|| < implies y ∈ U . Such sets are ...

Lecture notes for General Insurance

i Contents Contents ii 1 Utility theory 1 1.

Lecture Notes on General Relativity

Lecture Notes on General Relativity

These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein’s equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/not...