How Powerful Is Jupiter's Aurora?

How powerful is your evolutionary, algorithm?

How Powerful is Adiabatic Quantum Computation?

We analyze the computational power and limitations of the recently proposed ‘quantum adiabatic evolution algorithm’.

How Common Are Earths? How Common Are Jupiters?

Among the billions of planetary systems that fill the Universe , we would like to know how ours fits in. Exoplanet data can already be used to address the question: How common are Jupiters? Here we discuss a simple analysis of recent exoplanet data indicating that Jupiter is a typical massive planet rather than an outlier. A more difficult question to address is: How common are Earths? However,...

How Powerful isUnconditional

We prove that every recursively enumerable language can be generated by a programmed grammar with context-free core rules using unconditional transfer with leftmost derivation of type 3 or type 2. We show that every recursively enumerable tally language can be generated by a programmed grammar with context-free core rules using unconditional transfer or by some k-limited ET0L system, where k 2 ...

2009 / 76 How powerful is demography ? The Serendipity Theorem revisited

Introduced by Samuelson (1975), the Serendipity Theorem states that the competitive economy will converge towards the optimum steady-state provided the optimum population growth rate is imposed. This paper aims at exploring whether the Serendipity Theorem still holds in an economy with risky lifetime. We show that, under general conditions, including a perfect annuity market with actuarially fa...