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mLine 66:
Line 66: − The, expanding the ''f<sub>m</sub>'' product using the Binomial Expansion, the distribution becomes + Line 75:
Line 75: + +
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<math>G(\mu_1,\sigma_1^2) \otimes G(\mu_2,\sigma_2^2) = G(\mu_1 + \mu_2,\sigma_1^2 + \sigma_2^2)</math>
<math>G(\mu_1,\sigma_1^2) \otimes G(\mu_2,\sigma_2^2) = G(\mu_1 + \mu_2,\sigma_1^2 + \sigma_2^2)</math>
Then, expanding the ''f<sub>m</sub>'' product using the Binomial Expansion, the distribution becomes
<math>F(q) = \sum\limits_{m=0}^{\infty} \sum\limits_{n=0}^m \sum\limits_{k=0}^{n}
<math>F(q) = \sum\limits_{m=0}^{\infty} \sum\limits_{n=0}^m \sum\limits_{k=0}^{n}
\ G\left( (m-n) + (n-k)p + kr,\ (m-n)\sigma_1^2 + (n-k)\sigma_2^2 + k\sigma_3^2 \right)
\ G\left( (m-n) + (n-k)p + kr,\ (m-n)\sigma_1^2 + (n-k)\sigma_2^2 + k\sigma_3^2 \right)
</math>
</math>
This model showed good agreement with the data. The fitter, without any constraints on the third Gaussian, pulled toward a solution in which the peak of secondaries showed slight asymmetry, biased to the left in the spectrum.