ME 115(a): Notes on Rotations

Investigation of the Effect of Exhaust Gas Recirculation (EGR) on pollutants Emission From Si Engine Exhaust Gasese (RESEARCH NOTES)

This paper reports the results of an experimental investigation on the effect of the EGR on the pollutants emission, especially on oxides of nitrogen, from the exhaust gases and performance of the spark ignition engine. Also along with experimental work, a mathematical model for the determination of the effect of EGR on the peak cycle temperature and for the prediction of its effect on the NOx ...

Lecture notes: Qubit representations and rotations

Notes 17 : Coupling of Angular Momenta 3

In these notes we discuss the coupling or addition of angular momenta, a problem that arises whenever different subsets of the degrees of freedom of a system, each possessing its own angular momentum operator, are combined to form the whole system. In such cases, the whole system also possesses an angular momentum operator. Alternatively, we may say that there is an action of the rotations on e...

Computational Learning Theory Lecture Notes for CS Spring Semester

1 Preface This manuscript is a compliation of lecture notes from the graduate level course CS 582, \Computational Learning Theory," I taught a t W ashington University in the spring of 1991. Students taking the course were assumed to have b a c kground in the design and analysis of algorithms as well as good mathematical background. Given that there is no text available on this subject, the cou...

Orbital Angular Momentum and Spherical Harmonics

In Notes 13, we worked out the general theory of the representations of the angular momentum operators J and the corresponding rotation operators. That theory did not make any assumptions about the kind of system upon which the angular momentum and rotation operators act, for example, whether it is a spin system or has spatial degrees of freedom, whether single particle or multiparticle, whethe...