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Monthly Archives: August 2011
http://video.ted.com/assets/player/swf/EmbedPlayer.swf Seriously … why don’t math classes use computers? Excel, simple Python scripts, Mathematica / Sage, everything beyond the TI-83. Kids could be creating totally sweet visuals instead of cribbing formulae. And thinking instead of copying. I can say from my experience teaching … Continue reading
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Tagged computers, education, Excel, Mathematica, mathematics, MATLAB, programming, python, R, Sage
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A beautiful depiction of a 1-form by Robert Ghrist. You never thought understanding a 1→1-dimensional ODE (or a 1-D vector field) would be so easy! What his drawing makes obvious, is that images of Phase Space wear a totally different meaning … Continue reading
One of the long-standing questions of many scientists in love is: How do you quantify love? Many would scream loudly that many aspects of the human experience should never be disgraced by assigning a number to it, for it would … Continue reading
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Tagged Chris Tiee, Harmony, heartache, heartbreak, heroes, love, mathematics
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Logic, like mathematics, is regarded by many designers with suspicion. Much of it is based on various superstitions about the kind of force logic has in telling us what to do. First of all, the word “logic” has some currency … Continue reading
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Tagged architecture, Christopher Alexander, design, form, function, industrial design, logic, math, mathematics, maths, shape
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My interpretation of [Leland Wilkinson’s] grammar [of statistical graphics]: —Data is the most important thing, and the thing that you bring to the table. —Geometric objects … what you actually see on the plot: points, lines, polygons, etc. —Statistics transform … Continue reading
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Tagged chart, data, data exploration, econometrics, exploratory data analysis, ggplot, ggplot2, graphics, Hadley Wickham, heroes, Leland Wilkinson, plot, R, statistical graphics, statistics, visualisation
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pointillism_flower_02__4 by holger lippmann (Source: http://www.flickr.com/photos/lumicon/2276487569/sizes/o/in/set-72157604000227999/)
Complex systems are ones with a large effective number of strongly-interdependent variables. This excludes both low-dimensional systems, and high-dimensional ones where the variables are either independent, or so strongly coupled that only a few variables effectively determine all the rest. … Continue reading
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Tagged 4-D, complex systems, complexity, Cosma Rohilla Shalizi, econometrics, explanatory variable, general systems theory, heroes, interaction terms, interdependent, math, mathematics, maths, nlin, nonlinear dynamics, OLS regression, phenomenon, statistics, systems theory
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Posted in Uncategorized
Tagged independent component analysis, math, mathematics, maths, neuroscience
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Human Mathematics 