old_wiki

AI books

Neural Networks Artificial Intelligence Collective Intelligence Swarm Intelligence Data Mining Pattern Recognition All the links above are generated using the trick to ask google scholar something like “book [topic]” where [topic] is the topic you are interested in.

Basic ideas of general relativity

General Relativity (GR) is a classical field theory (whatever that means, could be something like Electrodynamics or something like Fluiddynamics) There is no gravitational force. Principle of Mach: The distribution of matter and energy defines the geometry of space-time Principle of Equivalence: Acceleration = homogenous (in time and space) gravitational field; Principle of Covariance: All coordinate systems are equal. The equations of physics should have the same form in all coordinate systems.

Battery

Lithium metal-air batteries can store a tremendous amount of energy–in theory, more than 5,000 watt-hours per kilogram. That’s more than ten-times as much as today’s high-performance lithium-ion batteries, and more than another class of energy-storage devices: fuel cells. Instead of containing a second reactant inside the cell, these batteries react with oxygen in the air that’s pulled in as needed, making them lightweight and compact. Bibliography IBM Invests in Battery Research Lithium-Luft-Batterien für Elektroautos Air-fuelled Battery Could Last Up to 10 Times Longer Lithium Oxygen Battery

Can a computer ask questions

Computers are useless. They can only give you answers. (Pablo Picasso) Is Picasso correct? In the scientific literature the question if a computer can be made to ask questions is hardly discussed. However literature containing the following terms implicitly discusses this topic: Unsupervised learning Semi-supervised learning Active learning Bibliography [http://evanjones.ca/picasso.html] Olsson (2009) : A literature survey of active machine learning in the context of natural language processing Castro et al.

Classical limit of quantum mechanics

The semi-classical limit corresponds to $ h\rightarrow 0$, which can be seen to be equivalent to $ m\rightarrow\infty $ , the mass increasing so that it behaves classically. (from http://en.wikipedia.org/wiki/Dynamical_billiards ) An increasing mass can be seen as an increase in the number $ N $ of involved particles with mass $ m_0 $. So is the limit of a $N$-particle quantum system for $ N\rightarrow\infty $ a classical system?

Data Mining Algorithms

Bibliography Wu (2008):Top 10 algorithms in data mining Segaran (2007): Programming Collective Intelligence: Building Smart Web 2.0 Applications

Fluid Dynamics of Spacetime

Bibliography Christopher Eling (2008) : Hydrodynamics of spacetime and vacuum viscosity Christopher Eling et al. (2006) : Non-equilibrium Thermodynamics of Spacetime Ted Jacobson (1995) : Thermodynamics of Spacetime: The Einstein Equation of State

Graphs in SQL databases

SQL Graphs in the database: SQL meets social networks – techPortal Working with Graphs in MySQL Graph database Social networks in the database: using a graph database Neo4j - a Graph Database that Kicks Buttox Large-scale Graph Computing at Google

Gravitational Cherenkov Radiation

Cherenkov Radiation is a very interesting phenomenom. Recently I asked myself, if such a phenomenom allso exists for gravity in the sense, that if a particle moves faster than the speed of gravity in a medium, it should radiate gravitational cherenkov radiation. I found an article [((bibcite 1))], that precisely predicts that. However in there article the theorists use it to constrain vacuum speed of gravity. They do not consider the case that gravity in a medium might(?

Gravity

The basic equations are: $$G_{\mu \nu} + \Lambda g_{\mu \nu}= \frac{8\pi G}{c^4} T_{\mu \nu}$$ with $$G_{\mu\nu} = R_{\mu\nu} - \frac{1}{2} g_{\mu\nu}R$$ and $$T_{\mu \nu} = g_{\mu \alpha} g_{\nu \beta} T^{\alpha \beta}$$ and $$T^{\alpha \beta} \, = \left(\rho + \frac{p}{c^2}\right)u^{\alpha}u^{\beta} + p g^{\alpha \beta}$$ Eq.([[eref field]]) is the famous Einstein field equation connecting the Einstein tensor ([[eref ein]]) with the energy-momentum tensor ([[eref energy]]). The energy-momentum tensor in the form here is the stress-energy tensor of fluid (and I think this is the form Einstein used originally) and basically represent the relativistic euler equations.