Posts Tagged 'germ'

Xenex Robot Exterminates Germs, Not Humans

When I hear about robots exterminating stuff, I immediately think about our robot overlords, which we will all serve in a near future if we’re not careful enough. The Xenex robot isn’t designed to be the demise of humankind – though it will exterminate most every germ you can throw at it.

xenex germ busting robot

Read more @ Technabob

Paracompact Spaces

Toroid, via Wikivisual

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It’s strange that I was actually researching paracompact topological spaces on Sunday and that we are seeing those types of spaces in my complex analysis class. We just started the Berenstein & Gay Complex Variables¹ book and things are pretty interesting. I actually deduced that we were heading there because of some of the concepts that we are seeing.

A paracompact space is a topological space in which every open cover admits an open locally finite refinement.

Continue reading ‘Paracompact Spaces’

Germs & Sheaves

Hyperbolic triangle, via Wikipedia

Hyperbolic triangle, via Wikipedia

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I spent most of the day reading up on differentiable manifolds, Riemann surfaces, germs, and sheaves. Some of the concepts are extremely interesting since they tie into category theory. This led me to differential geometry. I supposed that differential geometry had more to do with Euclidean geometry, an undergrad class that I didn’t enjoy all that much³, but it’s got a lot more to do with the geometry and structure of differentiable manifolds, which interest me¹.

Since the late nineteenth century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds.

The study of calculus on differentiable manifolds is known as differential geometry.

Continue reading ‘Germs & Sheaves’


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ranjitwithkinginbehand.jpgI'm Range, your host. On the menu, photos, art, stories, entertainment and reviews. Links, maths, education and social issues. I'm in Quebec (Canada) or Taiwan (R.O.C.). Follow me on Twitter.

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