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: 25192
Dr Peyam

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/

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HarveyMuddCollegeEDU

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: 63018
MIT OpenCourseWare

Purchase the Cogmed: https://www.pearsonclinical.com/psychology/products/100000069/cogmed-working-memory-training.html
Presenter: Peter Entwistle, PhD
Working memory deficits have frequently been found to correlate with some math difficulties while other deficits also contribute to problems in acquiring math skills. This webinar will consider both working memory deficits and students who have difficulties with the ‘mental number line’. Pearson presently offers two relevant programs for addressing these math difficulties: Cogmed working Memory Training and Dybuster. To provide context for understanding the salience of these programs the webinar will define working memory and the ‘mental number line’. Secondly, we will articulate which math difficulties are correlated with working memory deficits and whether there are any age differences in these trends. As expected Cogmed working memory training has been found to result in improvement in working memory, but also, intriguingly, some studies have found improvements in math. Highlights of these studies will be reviewed. Pearson also offers a program called Dybuster in which students directly train the ‘mental number line’ or number line skills. Aspects of this web-based and game-based mathematical program will also be presented along with relevant research highlights. In short, this webinar will provide you with two innovative ways to address problems with math.
PDF: Working Memory and Math, Dybuster, Cogmed: https://downloads.pearsonclinical.com/videos/120617-Dybuster/Working-Memory-and-Math-Webinar-Handout-120617.pdf

Views: 67
Pearson Assessments US

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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: 90513
eHowTech

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Mehnat lagan imandari Choaching centre

Michigan State Board of Education Meeting for October 10, 2017
Source: Michigan Department of Education

Views: 933
Michigan Department of Education

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: 33839
DavidChandler911

Koop hier u dvd: http://bit.ly/2FzS0Aa
Wilt u net zo'n goede swing als Rory McIlroy? Dat is nu mogelijk. De trainer/coach van Rory McIlroy, Michael Bannon leert u nu in 6 oefeningen hoe u net zo'n goede techniek kunt ontwikkelen als de winnaar van de US Open 2011.
Deze dvd is ontworpen voor alle leeftijden en vaardigheden. Het eerste deel bevat een virtuele versie van Bannon's swing les, die kan worden beoefend in het comfort van uw eigen huis. Het tweede deel toont Bannon op de baan, werken aan de technieken met international Victoria Bradshaw. "De enige belofte die we maken, is dat als u de instructies voor 10 minuten per dag over een periode van zes weken uitvoert, u een solide golf swing ontwikkelen met grote fundamenten die je bij zal blijven voor het leven", zegt Michael.

Views: 429
Source 1 Media

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.

Views: 22
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