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Gaussian Function -- from Wolfram MathWorld

In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...



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Gaussian Function -- from Wolfram MathWorld

https://mathworld.wolfram.com/GaussianFunction.html

In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...



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https://mathworld.wolfram.com/GaussianFunction.html

Gaussian Function -- from Wolfram MathWorld

In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...

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      Gaussian Function -- from Wolfram MathWorld
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      In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...
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      In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...

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      Gaussian Function -- from Wolfram MathWorld
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      In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...

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      Gaussian Function -- from Wolfram MathWorld
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      In one dimension, the Gaussian function is the probability density function of the normal distribution, f(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2)), (1) sometimes also called the frequency curve. The full width at half maximum (FWHM) for a Gaussian is found by finding the half-maximum points x_0. The constant scaling factor can be ignored, so we must solve e^(-(x_0-mu)^2/(2sigma^2))=1/2f(x_(max)) (2) But f(x_(max)) occurs at x_(max)=mu, so ...
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