We introduce tools from numerical analysis and high dimensional probability for precision control complexity of subdivision-based algorithms in computational geometry. combine these with the continuous amortization framework exact computation. use on a well-known example subdivision family: adaptive algorithm due to Plantinga Vegter. The only existing estimate this rather fast was an exponentia...

Profiles SSCS member, Alvin Loke.

I am a systems researcher interested in designing, building, deploying and measuring large-scale systems. My primary research interests currently involve the application of economic theory to both fundamental and emerging problems in operating and distributed systems, including, but not limited to resource allocation and congestion pricing. The arrival of large-scale open platforms such as clou...

Pain and suffering are prima facie bad things. They are widespread. So the traditional argument against theism (the argument from evil) starts with them. Defendants of God’s goodness either have to explain why there is evil (i.e. offer a theodicy) or have at least to show that the argument from evil has no force against theism. Alvin Pantinga (1985) distinguishes between offering a (positive) t...