This is one of my favorite math proofs! Usually the Cauchy-Schwarz inequality is proven using projections, but this proof is completely elementary. It is taken from Pugh's Real Mathematical Analysis-book. But beware it doesn't work for complex inner product spaces. Bon appétit! :) Note: I forgot to mention: If a = 0, then v = 0, but then the statement is trivial.
Views: 21678 Dr Peyam
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
Views: 344262 HarveyMuddCollegeEDU
Tim Noakes: UCT Professor of Sports Science I am Tim Noakes, co-founder and executive director of the Sports Science Institute of SA, author, respected academic and A1 rated scientist. I am a Director of UCT/MRC Research Unit for Exercise Science and Sports Medicine, Department of Human Biology, Faculty of Health Science, University of Cape Town. I am also the Professor, Discovery Health Chair of Exercise and Sports Science, University of Cape Town. I have long been acknowledged as an expert in the field of sports and the science of physical exercise. My idea worth spreading to present at TEDxCapeTown 2012 is about having the right mindset to learn and achieve. In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)
Views: 493622 TEDx Talks
Lecture 12: Skip Lists View the complete course at: http://ocw.mit.edu/6-046JF05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 61728 MIT OpenCourseWare
Department of Engineering, University of Cambridge, multimedia video from Physics Education, 2003, by Holger Babinsky.
Views: 349347 Francis Villatoro
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehowtech Watch More: http://www.youtube.com/ehowtech Making a matrix on Excel will require you to create a rectangular array of elements in rows and columns. Make a matrix on Excel with help from a Microsoft Certified Applications Specialist in this free video clip. Expert: Jesica Garrou Filmmaker: Patrick Russell Series Description: Microsoft Excel is one of the best tools around for all of your spreadsheet creation needs. Get tips on Microsoft Excel with help from a Microsoft Certified Applications Specialist in this free video series.
Views: 87563 eHowTech
Part III of this series fully explores the implications of NIST's admission that WTC7 entered actual freefall and critiques the foundations of their "investigation." In the end it calls for a new, independent, fully empowered, and open investigation. ----- [The WTC7 series has elicited a number of questions from people unclear on the details of how I did the measurements, compared to how NIST did them and how the representatives of NIST described their measurements. I have therefore created a WTC7 Measurement FAQ page: http://www.911speakout.org/WTC7-Measurement-FAQ.pdf . I will also use this FAQ as a place of reference for other questions that arise as well.] ------------------ My new DVD: "9/11 Analysis" is now out. Go to http://www.911speakout.org .
Views: 33708 DavidChandler911
Michigan State Board of Education Meeting for October 10, 2017 Source: Michigan Department of Education
Views: 917 Michigan Department of Education
This is an audio version of the Wikipedia Article: John Maynard Keynes Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. You can find other Wikipedia audio articles too at: https://www.youtube.com/channel/UCuKfABj2eGyjH3ntPxp4YeQ You can upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts "The only true wisdom is in knowing you know nothing." - Socrates SUMMARY ======= John Maynard Keynes, 1st Baron Keynes ( KAYNZ; 5 June 1883 – 21 April 1946), was a British economist whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments. He built on and greatly refined earlier work on the causes of business cycles, and was one of the most influential economists of the 20th century. Widely considered the founder of modern macroeconomics, his ideas are the basis for the school of thought known as Keynesian economics, and its various offshoots.During the Great Depression of the 1930s, Keynes spearheaded a revolution in economic thinking, challenging the ideas of neoclassical economics that held that free markets would, in the short to medium term, automatically provide full employment, as long as workers were flexible in their wage demands. He instead argued that aggregate demand determined the overall level of economic activity and that inadequate aggregate demand could lead to prolonged periods of high unemployment. Keynes advocated the use of fiscal and monetary policies to mitigate the adverse effects of economic recessions and depressions. Keynes's magnum opus, The General Theory of Employment, Interest and Money, was published in 1936. The leading Western economies adopted Keynes's policy recommendations before the outbreak of World War II, and in the two decades following Keynes's death in 1946, almost all capitalist governments had done so. Keynes's influence waned in the 1970s, partly as a result of the stagflation that plagued the Anglo-American economies during that decade, and partly because of criticism of Keynesian policies by Milton Friedman and other monetarists. He and other economists had disputed the ability of government to regulate the business cycle favourably with fiscal policy.The advent of the global financial crisis of 2007–2008 caused a resurgence in Keynesian thought. Keynesian economics provided the theoretical underpinning for economic policies undertaken in response to the crisis by President Barack Obama of the United States, Prime Minister Gordon Brown of the United Kingdom, and other heads of governments.When Time magazine included Keynes among its Most Important People of the Century in 1999, it said that "his radical idea that governments should spend money they don't have may have saved capitalism." The Economist has described Keynes as "Britain's most famous 20th-century economist." In addition to being an economist, Keynes was also a civil servant, a director of the Bank of England, and a part of the Bloomsbury Group of intellectuals.
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Michigan State Board of Education Meeting for April 12, 2016 - Morning Session Source: Michigan Department of Education
Views: 147 Michigan Department of Education
Michigan State Board of Education Meeting for January 9, 2018 - Morning Session Source: Michigan Department of Education
Views: 114 Michigan Department of Education
Michigan State Board of Education Meeting for November 14, 2017 - Morning Session Source: Michigan Department of Education
Views: 92 Michigan Department of Education