this chart the TCO2e per capita is listed and if I looked correctly the winner is:

Kuwait 65.68

followed by

Brunei 53.30

Singapore 46.17

Qatar 42.69

Trinidad and Tobago 40.66

I take the tensor product of their commutative algebra of smooth functions

so is a contravariant symmetric monoidal functor.

Then, the -module of vector fields on is the ‘external’ tensor product of the -module of vector fields on and the -module of vector fields on

I don’t know if ‘external’ is the right word, but I’m referring to the standard way to take a module over a commutative algebra and a module over a commutative algebra and tensor them to get a module over the a commutative algebra , which is different than the usual way of taking two -modules and tensoring them to get a new -module. This gives a functor

There’s a way to take a tensor product of categories with finite colimits, sometimes called the ‘box tensor product’ and then I believe we the above functor gives rise to an equivalence

which is what I’m calling the ‘external tensor product’. So, I believe `Mod’ is also a symmetric monoidal (2-)functor in a suitable sense.

You may be more familiar with all of this in the geometric picture where we take a vector bundle over and a vector bundle over and tensor them to get a vector bundle over . This ‘external’ tensor product of vector bundles is different than (but closely related to) the perhaps more commonly discussed recipe where we take two vector bundles over a manifold and tensor them to get another vector bundle over the same manifold. The external tensor product of the tangent bundles of and is the tangent bundle of

In short, I believe everything is `as monoidal as it should be’.

]]>I like operads for certain applications, but the framework of symmetric monoidal categories seems simpler and more powerful than the framework of “algebras of some operad that’s like the operad for wiring diagrams…”.

Something has been bugging me about this, but I was having a very hard time articulating exactly what it is that doesn’t feel right. Here, I think, is the issue in a nutshell: the functor that assigns to each manifold the vector space of vector fields on is not monoidal: the space of vector fields on the product is not a product/direct sum of spaces of vector fields on each factor By the way, it is a covariant functor. Fun puzzle: what’s the target category? Hint: it’s not Vect.

]]>It would be especially interesting to see such a scale ranging into negative deltas (not just positive ones), both for context and because this would force contact w/ historical reality.

]]>(Click for details.)

You may not know that discussion of partisan politics is forbidden on this blog. For this reason, I’ve deleted the paragraph containing your claims that “the Left believes the planet can be ‘saved’ by destroying America and the West”, and that “internal enemies have sworn to destroy every vestige of freedom and happiness”. I didn’t do this because I believe these claims are false, just because they’re not on topic for this blog. There are many other blogs for discussing politics.

]]>China has 19% of the world’s population, but consumes…..

53% of the world’s cement

48% of the world’s iron ore

47% of the world’s coal

…. and the majority of just about every other major commodity.

By 2010, China produced 11 times more steel than the United States.

New World Record: China made and sold 18 million vehicles in 2010.

There are more pigs in China than in the next 43 pork producing nations combined.

China currently has the world’s fastest train and the world’s largest high-speed rail network.

China is currently the number one producer in the world of wind and solar power, but don’t use it themselves. While they manufacture 80% of the world’s solar panels, they install less than 5% and build a new coal fired power station every week. In one year they turn on more new coal powered electricity than Australia’s total output.

China currently controls more than 90% of the total global supply of rare earth elements.

In the past 15 years, China has moved from 14th place to 2nd place in the world in published scientific research articles.

China now possesses the fastest supercomputer on the entire globe.

At the end of March 2013, China accumulated US$4.04 trillion in foreign currency reserves

–the largest stockpile on the entire globe.

Chinese people consume 50,000 cigarettes every second …

They are already the largest carbon dioxide emitter and their output will rise 70% by 2020.

And the Left believes the planet can be ‘saved’ by destroying America and the West? It will not make one iota of difference what anyone does in Australia, Canada, the United States, Europe, nor anywhere else in the world, beyond China and India. ]]>

Currently, the EU does not allow CO

_{2}credits under ETS to be obtained from sinks (e.g. reducing CO_{2}by planting trees). However, some governments and industry representatives lobby for their inclusion. The inclusion is currently opposed by NGOs as well as the EU commission itself, arguing that sinks are surrounded by too many scientific uncertainties over their permanence and that they have inferior long-term contribution to climate change compared to reducing emissions from industrial sources.

This is potentially tragic; a better compromise would be to risk some *small* mistakes, but not allow them to grow into huge businesses until there’s more certainty.

The problem is that there’s been some gaming of the trading scheme and regulators are struggling to avoid more.

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