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Posted 2 days ago (via math-frolic.blogspot.com)

For the philosophically, or foundationally, inclined, the below post argues for something called "numerosities" that give "part-whole" set relationships priority over "one-to-one" relationships, and in so doing, counter the usual Cantorian orthodoxy, which permits a partial set (say odd numbers), to be deemed equal in size to an entire set (all integers):http://www.newappsblog.com/2014/03/counting...

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Posted 2 days ago (via flowingdata.com)

Earthquakes are in the news a lot lately. A quick search shows a 7.6 off the coast of the Solomon …...

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Posted 2 days ago (via feedproxy.google.com)

Typing tables in LaTeX can get messy, but there are some good tools to simplify the process. One I discovered this week is tablesgenerator.com, a web-based tool for generating LaTeX tables. It also allows the table to saved in other formats including HTML and Markdown. The interface is simple, but it does most things. For complicated tables, some additional formatting may be necessary. Simil...

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Posted 2 days ago (via blog.computationalcomplexity.org)

I had on an exam in my grad complexity course to show that the following set is in coNP
FACT = { (n,m) : there is a factor y of n with 2 le y le m }
The answer I was looking for was to write FACTbar (the complement) as
FACTbar = { (n,m) | (exists p_1,...,p_L) where L le log n
for all i le L we have m < p_i le n and p_i is prime (the p_i are not necc distinct)
n =p_1 p_2 ... p_L
}
INTUITIO...

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Posted 2 days ago (via hilbertthm90.wordpress.com)

In October I wrote a post in defense of gaming in which the central argument is a claim that any person who takes experiencing art as an important human experience should consider certain types of games as a worthwhile use … Continue reading →...

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Posted 2 days ago (via feedproxy.google.com)

Ratios summarize a scenario into a single number, such “income per day”. Unfortunately, they can hide the explanation of how the result came about.
For example, look at two businesses:
Annie’s Art Gallery sells a single, $1000 piece every day
Frank’s Fish Emporium sells 250 trout at $4/each every day
By the numbers, they’re identical $1000/day operations, right?...

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Posted 2 days ago (via math-frolic.blogspot.com)

"...every decent maths teacher knows that teaching maths is about understanding how different people think. Some students need to see the bigger picture first – they need context, they need a reason for doing things, they need to know what the end result will be. Others are happy to discover things for themselves and they enjoy the process as much as the outcome. Some are comfortable thinking in...

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Posted 2 days ago (via feedproxy.google.com)

If you are bored with factoring, try watching ViHart’s video on Doodling in the Class: Stars. It’s a 4-minute video, but try pausing for some time to think. The video above was created by ViHart, and there many of such Doodles in her Youtube channel.Continue reading...Mathematics and Multimedia - K-12 mathematics teaching and learning through multimedia....

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Posted 2 days ago (via flowingdata.com)

This year's polar vortex churned up some global warming skeptics, but as we know, it's more useful to look at …...

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Posted 2 days ago (via flowingdata.com)

Pornhub continues their analysis of porn viewing demographics in their latest comparison of pageviews per capita between red and blue …...