dimensional analysis
sort by: Relevancy | Title try advanced search for more options
-
In this introductory lecture, Professor Lewin discuses basic units, dimensions, measurements and associated uncertainties, dimensional analysis, and scaling arguments. Further, he explains why a measurement is meaningless without knowledge of its uncertainty, using data collected by Galileo Galilei as an example. He begins to dive into dimensional analysis, reasoning that the time from an object to fall from a certain height is independen...more
-
Mixture of Gaussian, Mixture of Naive Bayes - Text clustering (EM Application), Factor Analysis, Restrictions on a Covariance Matrix, The Factor Analysis Model, EM for Factor Analysis
-
Despite cautions from their conservative elders, young chemists like Paternó and van't Hoff began interpreting molecular graphs in terms of the arrangement of a molecule's atoms in 3-dimensional space. Benzene was one such case, but still more significant was the prediction, based on puzzling isomerism involving "optical activity," that molecules could be "chiral," that is, right- or left-handed. Louis Pasteur effected the first artificial...more
-
Multi-dimensional Arrays, An ArrayList, The Template Class, Methods in the ArrayList Class, An Example Program Using ArrayList, ArrayLists Hold Objects, An Example Program with an ArrayList of Glabels, The GrayImage Example Program
-
Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.
-
-
Professor McBride expands on the recently introduced concept of the wave function by illustrating the relationship of the magnitude of the curvature of the wave function to the kinetic energy of the system, as well as the relationship of the square of the wave function to the electron probability density. The requirement that the wave function not diverge in areas of negative kinetic energy leads to only certain energies being allowed, a p...more
-
In order for Social Security to work, people have to believe there's some possibility that the world will last forever, so that each old generation will have a young generation to support it. The overlapping generations model, invented by Allais and Samuelson but here augmented with land, represents such a situation. Financial equilibrium can again be reduced to general equilibrium. At first glance it would seem that the model requires a s...more
-
The Tree of Life must be discovered through rigorous analysis. Genetic information is crucial because appearances can be deceiving, and species that look similar can prove to be genetically very dissimilar and not share recent common ancestors. Two criteria, used to determine what the "correct" Tree is, are simplicity and whether the tree maximizes the probability of observing what we actually see.
-
Presidential Politics: Race, Class, Faith & Gender in the 2008 Election
Stanford / Political Science
The 2008 U.S. Presidential Election is unprecedented. The nomination process and ongoing campaigns have revealed the complexities of identity and its role in uniting and dividing the electorate. This course explores how issues of race, class, faith and gender have shaped the candidates, campaigns, and our society. The course analysis spans the presidential race from the announcements of more than ten presidential hopefuls to the current co...more
-
This course is the second of a two-term sequence. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of Principles of Digital Communication I and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-d...more
-
How big is the problem? And how large is the opportunity to solve it? Mir Imran, parallel entrepreneur and CEO of InCube Labs, says that 90 percent of business concept development is simply understanding what's wrong with the status quo. One needn't start out as an expert, says Imran, but the savvy entrepreneur needs to know how to perform deeply probing research.
