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44341,2,3, .. infinity. Mathematical Induction
https://www.merlot.org/merlot/viewMaterial.htm?id=936438
This video was recorded at Is all about Math. Explain the Method of Mathematical Induction. Francesco Maurolico, Pascal and John Wallis. Applying the method of Induction to prove the sum of odd numbers is a square.Sun, 8 Feb 2015 20:32:23 -0800A selection of Joel Feinstein's research/teaching presentations
https://www.merlot.org/merlot/viewMaterial.htm?id=287010
A selection of research and teaching presentations, including pdf presentations, audio podcasts and movies.Mon, 7 Jan 2008 05:26:57 -0800It's all Greek to me! Sigma notation
https://www.merlot.org/merlot/viewMaterial.htm?id=936452
This video was recorded at Is all about Math. Sigma Notation. Tetrahedral numbers. Pyramidal Numbers. Some relations between them.Sun, 8 Feb 2015 20:32:30 -0800Mathematical Induction (Part II)
https://www.merlot.org/merlot/viewMaterial.htm?id=936440
This video was recorded at Is all about Math. Prove Inequality using the Method of Mathematical Induction.Sun, 8 Feb 2015 20:32:25 -0800Mathematical Induction (Part III)
https://www.merlot.org/merlot/viewMaterial.htm?id=936442
This video was recorded at Is all about Math. Recursive Relation for triangular numbers. Finding a solution to the recursive equation and another solution to the Recursive equation.Sun, 8 Feb 2015 20:32:26 -0800On Stochastic and Worst-case Models for Investing
https://www.merlot.org/merlot/viewMaterial.htm?id=975341
This video was recorded at 23rd Annual Conference on Neural Information Processing Systems (NIPS), Vancouver 2009. In practice, most investing is done assuming a probabilistic model of stock price returns known as the Geometric Brownian Motion (GBM). While it is often an acceptable approximation, the GBM model is not always valid empirically. This motivates a worst-case approach to investing, called universal portfolio management, where the objective is to maximize wealth relative to the wealth earned by the best fixed portfolio in hindsight. In this paper we tie the two approaches, and design an investment strategy which is universal in the worst-case, and yet capable of exploiting the mostly valid GBM model. Our method is based on new and improved regret bounds for online convex optimization with exp-concave loss functions.Tue, 10 Feb 2015 13:39:46 -0800Summation Telescoping property
https://www.merlot.org/merlot/viewMaterial.htm?id=936454
This video was recorded at Is all about Math. We explain the summation telescoping property and apply it to finding two summations.Sun, 8 Feb 2015 20:32:31 -0800The Survey Says
https://www.merlot.org/merlot/viewMaterial.htm?id=641624
This is an integrated lesson involving math, science, language arts and technology. It involves conducting a survey, analyzing data, and displaying data in a Power Point presentation.Sat, 24 Mar 2012 21:12:24 -0700The well ordering principle
https://www.merlot.org/merlot/viewMaterial.htm?id=936444
This video was recorded at Is all about Math. Proving The Well Ordering Principle is equivalent to The Principle of Mathematical Induction.Sun, 8 Feb 2015 20:32:27 -0800Triangular Numbers (Part I)
https://www.merlot.org/merlot/viewMaterial.htm?id=936456
This video was recorded at Is all about Math. Elementary explanation of triangular numbers and Gauss demonstration for the sum of the first 100 natural numbers.Sun, 8 Feb 2015 20:32:33 -0800