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Completed tutorial on algebra
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tomsch420 committed Mar 28, 2024
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"If you are interested in robotics, it is also important since:\n",
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"- **Reasoning with uncertainty**: Robots often operate in environments with uncertainty. $\\sigma$ algebras provide a mathematical foundation to represent uncertain events and reason about the probability of different events happening (like sensor readings or obstacles appearing).\n",
"- **Decision making under probability**: Many robotic tasks involve making decisions based on probabilities. By understanding $\\sigma$-algebras, you can build algorithms that consider the chance of different outcomes and choose the action with the highest probability of success.\n",
"- **Planning and control under uncertainty**: Planning robot actions often requires considering various possibilities. $\\sigma$-algebras allow you to create probabilistic models of the environment, enabling robots to plan and control their movements while accounting for uncertainties.\n",
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