21L.488 Contemporary Literature: Literature, Development, and Human Rights (MIT)
Central to our era is the gradual movement of all the world's regions toward a uniform standard of economic and political development. In this class we will read a variety of recent narratives that partake of, dissent from, or contribute to this story, ranging from novels and poems to World Bank and IMF statements and National Geographic reports. We will seek to understand the many motives and voices – sometimes congruent, sometimes clashing – that are currently engaged in producing
18.440 Probability and Random Variables (MIT)
This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.
17.405 Seminar on Politics and Conflict in the Middle East (MIT)
This course focuses on evolution of contemporary politics and economics. The subject is divided into four parts:
Context: historical and strategic perspectives, theoretical issues, and sources and forms of conflict;
Continuity: detailed analysis conflicts systems and their persistence, as well as regional competition and recent wars – focusing on specific countries and cases;
Complexity: highlighting situation specific strategic gains and losses; and
Convergence: focusing future co
Frozen stress photoelastic assessment of load distribution around an ellipsoid
The experiment indicates a more uniform of shear stress than that predicted by the shear lag model, suggesting that the model underestimates the magnitude of fibre loading, especially at low fibre aspect ratios. Eshelby type models, on the other hand, successfully predict the average phase stresses, but not the form of stress varying within the fibres.
Open celled aluminium foam produced by infiltration of sintered salt
This is an inexpensive route for the production of open celled foams. It allows a high degree of control over cell size and shape, and results in relatively uniform morphology. The interconnectivity of pores can be controlled by varying the degree of sintering of the precursor.
Birefringence in a film of polypropylene
The colours in the image are the result of birefringence and relate to the residual stress in the film, following the biaxial stretching process. The uniformity of the colour (with contrast only where an additional thickness of film exists or where wrinkling has resulted in a different apparent thickness) is indicative of both a uniform film thickness and of the uniformity of the drawing process used to make the film. Note that unlike polyethylene, the film has not been permanently strained in t
Frozen stress photoelastic assessment of load distribution around a cylinder
The experiment indicates a more uniform of shear stress than that predicted by the shear lag model, suggesting that the model underestimates the magnitude of fibre loading, especially at low fibre aspect ratios. Eshelby type models, on the other hand, successfully predict the average phase stresses, but not the form of stress varying within the fibres.
Frozen stress photoelastic fringe pattern during fibre pushout
The experiment indicates a more uniform of shear stress than that predicted by the shear lag model, suggesting that interfacial shear de-bonding strength values obtained from de-bonding loads on the basis of that model may be overestimates. (See 'The use of single fibre pushout testing to explore interfacial mechanisms in SiC monofilament-reinforced Ti-I. A photoelastic study of the test', Watson and Clyne, Acta metall. mater. Vol 40, No 1, pp 131-139, 1992 for more details.)
18.100B Analysis I (MIT)
Analysis I covers fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and interchange of limit operations.
NASA KSNN What is volume?
Measuring volume isn't always easy. Some objects have regular or uniform shapes. The volume of these objects can usually be measured with a formula.
Matching Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.
Advances in nanotechnology
In this podcast, Professor Moriarty discusses nanotechnology, and how it has led to a convergence of the traditional sciences. He talks about the commercial applications of nanotechnology such as hard disk technology in laptops, stain free materials and fabrics, self-cleaning windows and advanced water filtration. He also touches on some of the myths about nanotechnology as well as some of the real dangers of Nanotechnology and the steps governments are taking to regulate it. Professor Moriarty
Helmholtz Coils
The EJS Helmholtz Coils Model shows a the magnetic field between two circular coils of wire. The default configuration, known as a Helmholtz coil, sets the separation distance D equal to the coil radius R. These values produce a nearly uniform magnetic field B between the coils.
Florida Shipwrecks: 300 Years of Maritime History
This is a travel itinerary featuring 13 historic shipwrecks in waters near Florida, a convergence point for maritime trade routes. Learn about the historical significance of these 13 shipwrecks. See photos and an essay on Florida maritime history.
The Central Limit Theorem
The applets in this section of Statistical Java allow you to see how the Central Limit Theorem works. The main page gives the characteristics of five non-normal distributions (Bernoulli, Poisson, Exponential, U-shaped, and Uniform).
Data Analysis
The applet in this section allows for simple data analysis of univariate data. Users can either generate normal or uniform data for k samples or copy and paste data from another source to a text box. A univariate analysis is performed for all k samples.
Uniform convergence and pointwise convergence
The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences.
The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a unifo
Lugosi teaches math - convergence of series 2
In part 2 of Béla Lugosi's lecture on convergence of series, he continues to discuss integration of the limit function in these series or sequences. He then goes further into applying these into power series. This is a video for advanced math students who are well into Calculus and Calculus II.
Special Relativity (Part 1 of 5)
This animation takes a simple look at the complex topic of Special Relativity. The two postulates examined in the video are: 1) All uniform motion is relative, and 2) The speed of light (in a vacuum) is the same for all observers. This simple and clear introduction to Einstein's Special Relativity, should help a learner better understand, this revolutionary scientific discovery and idea. Run time 07:12.
Newton's Laws
For all the phenomena of The Mechanical Universe, Isaac Newton laid down the laws. A refinement on Galileo's law of inertia, Newton's first law states that every body remains at rest or continues in uniform motion unless an unbalanced force acts on it. His second law, the most profound statement in classical mechanics, relates the causes to the changes of motion in eve
