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    Particle Swarm Optimization

    Particle Swarm Optimization
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    Particle Swarm Optimization (PSO) is a population-based metaheuristic optimization algorithm inspired by the collective social behavior of biological swarms, such as bird flocking and fish schooling. By simulating cooperative interactions among particles in a search space, PSO efficiently explores complex optimization problems and has become widely used due to its simplicity, flexibility, and strong global search capability.

    metaheuristics optimization
    Solving PDF Integrals of Normal Distribution

    Solving PDF Integrals of Normal Distribution

    A brief proof demonstrating that the total area under a probability density function must equal 1 to satisfy the fundamental requirement of probability theory.

    normal distribution statistics
    Proving the Gaussian Integral

    Proving the Gaussian Integral

    The probability density function (PDF) of normal distribution is derived from Gaussian Integral.

    normal distribution statistics
    Normal Distribution

    Normal Distribution

    The most important continuous probability distribution in the field of statistics is the normal distribution, also known as the Gaussian distribution.

    normal distribution statistics
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