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WordNet-Online
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Definitions from the WebGaussiansDescription:Gaussians is a term commonly used in mathematics and statistics to refer to a specific type of probability distribution known as the Gaussian distribution or normal distribution. It is named after the German mathematician and physicist Carl Friedrich Gauss. Senses and Usages:Sense 1: Probability DistributionIn probability theory, Gaussians represent a continuous probability distribution that is symmetric about its mean. It is often used to model real-valued random variables that approximate natural phenomena such as measurements, errors, and noise. Example Sentence: The measurements of height for a large population can be approximated by a Gaussians distribution. Sense 2: Gaussian FilterIn image processing and computer vision, Gaussians are commonly utilized as a filter to blur or smooth images. The Gaussian filter helps reduce noise and improve the visual quality of images. Example Sentence: Applying a Gaussian filter to the image helped remove the high-frequency noise. Sense 3: Gaussian EliminationIn linear algebra, Gaussian elimination is an algorithm used to solve systems of linear equations. It involves transforming a system of equations into an equivalent system through row operations, ultimately obtaining the solutions. Example Sentence: The Gaussian elimination method allowed us to efficiently solve the complex system of equations. Related Products: | ||||
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