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Graham Farmelo on Paul Dirac and Mathematical Beauty
Adjunct Professor of Physics at Northeastern University in Boston, Graham Farmelo, on Paul Dirac and the Religion of Mathematical Beauty. Apart from Einstein, Paul Dirac was probably the greatest theoretical physicist of the 20th century. Dirac, co-inventor of quantum mechanics, is now best known for conceiving of anti-matter and also for his deeply eccentric behavior. For him, the most important attribute of a fundamental theory was its mathematical beauty, an idea that he said was "almost a re
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15.875 Applications of System Dynamics (MIT)
15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or manage
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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

2.2.4 Longer-term considerations

Something else to ponder is the effect that screening might have on the longer-term incidence of disease and (not the same thing) on the incidence of gene variants linked to disease. Sometimes, the impact on a disease can be dramatic. Take thalassaemia, a haemoglobin disorder similar to sickle cell disease, in which premature destruction of haemoglobin-containing red blood cells leads to anaemia. It is relatively common in some Mediterranean countries. Like sickle cell disease, it is understo
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Andreas Kyprianou inaugural lecture: Jumping about in applied probability
Professor Andreas Kyprianou from the Department of Mathematical Sciences gives a gentle introduction to probability theory and its pivotal role in current mathematics research.
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Weather & Meteorology : What Causes Hail?
Hail is formed in large thunderstorms when the clouds are high enough in the sky for the water within them to freeze. Find out how hail is able to grow to the size of a golf ball or softball with help from a meteorologist.  Video is short and good quality and is appropriate for elementary level students of grades three through five.
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Gretchen am Spinnrade
This is a video of sheet music (including lyrics) of Schubert's Gretchen am Spinnrade; includes vocals and piano accompaniment.  This would be useful for singers learning this piece. Run time 03:55.
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The USB
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5.6 Vibrating air column

You learned in the previous section that for standing waves to be set up on a string there must be reflection. A travelling wave reaches the end of the string and is reflected. This results in a second travelling wave, which moves back up the string in the opposite direction to the first wave. The two travelling waves interact to produce a standing wave.

Standing waves are set up in an air column enclosed within a tube in a very similar way. Again there must be reflection. In this case,
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2.2 Population screening for genetic disease: the precedents

Knowing about particular genes, or their effects, also permits screening – the search in a population for persons with certain genotypes that are associated with a particular disease. Thus the test may be offered to one and all. Until now, screening programmes have focused on one gene at a time, or one disease at a time, in cases where a mutated gene poses serious health problems and something can be done for those who are found to carry the mutation. What that something is varies with the
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History of God - History of Christianity
This six minute video is a lecture on how the population of he world and the number of different religions have impacted society in the opinion of the speaker. This could be controversial for some.
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Learning outcomes

After studying this course, you should be able to:

  • understand why systems thinking might be useful and know something about how it can be applied in the context of environmental responsibility

  • describe the significance of environmental pragmatism and cognitive justice as tools for supporting environmental policy and action.


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1.7 Summary of Section 1 and questions

  • Converging lenses or mirrors cause parallel beams of light to be brought to a focus at the focal point, situated at a distance of one focal length beyond the lens or one focal length in front of the mirror. Diverging lenses or mirrors cause parallel beams of light to diverge as if emanating from the focal point of the lens or mirror. Light paths are reversible, so a converging lens or mirror may also act as a collimator and
    Author(s): The Open University

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Examples 3 and 4

Example 3

Example 3Author(s): The Open University

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Hoover Dam and Hydroelectric Power Plant Tour Part 2
This is a series of video clips taken when visiting the Hoover Dam and Hydroelectric Power Plant back on December 28, 2008. Hoover Dam is located at Lake Mead at the Arizona and Nevada State line and just East of Las Vegas on US Highway 93. The highway goes over the dam, but a by pass bridge is being built across the Colorado River just down stream from the dam due to be completed in September of 2009.
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3.3.1 Try some yourself

Activity 27

  • (a) Divide a £27 000 jackpot prize equally among 9 people in the syndicate.

  • (b) Divide a £27 000 jackpot prize equally among 900 people in the syndi
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San Diego Zoo
Veronica Hill with California Travel Tips.  Nearly three million people a year visit the San Diego Zoo, making it the city's most popular attraction.   Get on your best walking shoes before starting your safari into the zoo's 100-acre jungle of steep hills, canyons and winding trails.  During your trek through the park, you'll pass by beautiful waterfalls, tropical flowers and numerous natural-styled environments.  Approxi
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Making local adjustments in Camera Raw
Apply color and tonal adjustments to areas of a photo, like traditional dodging and burning, with the Adjustment Brush and Graduated Filter.
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Learning outcomes

After studying this course, you should be able to:

  • work with simple ratios

  • convert between fractions, decimals and percentages

  • explain the meaning of ratio, proportion and percentage

  • find percentages of different quantities

  • calculate percentage increases and decreases.


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Beginner Lesson S4 #13 - Can You Guess What’s
Learn Spanish with SpanishPod101.com! You thought this concert was so popular that there would be signs everywhere pointing you in the right direction when you arrived at the concert venue. But when you get there, you discover that there are no signs written in Spanish directing you where to go to get tickets. So you [...]
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4.1 Introduction

The 1970s marked a period in which the cessation of the ‘normal’ period of full-time employment at 60 or 65 years had become the accepted orthodoxy. The personal lives of older people had thus become constituted outside the domain of paid employment and within the arena of public and private welfare. As we illustrated in the preceding section, pensions, organised around fixed ages of retirement based on chronological measurements of age, played a crucial role in this process. Further, as
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