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 Feb 19 revised Notation for product expansion added 35 characters in body Feb 18 accepted Notation for product expansion Feb 18 comment Notation for product expansion Of course - thank you very much! It's so simple: $\sum_{l=1}^{i} \sum_{m=1}^{j} x_{l}x_{m}$. I need to get some sleep... Feb 18 revised Notation for product expansion reversed i's and j's Feb 18 asked Notation for product expansion Dec 22 accepted Schur product theorem Dec 22 awarded Commentator Dec 22 comment Schur product theorem Thank you for the counter example! Is there any way to quantify "nonzero but small" (this is exactly the scenario which I'm considering, i.e., A is symmetric) ? Dec 21 asked Schur product theorem May 23 awarded Scholar May 23 accepted Numerical precision of product of probabilities (normal CDF) May 23 comment Numerical precision of product of probabilities (normal CDF) Thanks - this is what I was looking for! May 23 comment Numerical precision of product of probabilities (normal CDF) Of course you are right, I meant zero. Thanks a lot for the log1p function!! I didn't know that it existed. May 23 comment Numerical precision of product of probabilities (normal CDF) Hi and thank you - I did consider taking the logarithm, however log(1-normcdf(-x)) and log(normcdf(x)) both just return 1. May 23 comment Numerical precision of product of probabilities (normal CDF) I'm trying to calculate the joint probability of independent events, each one of which has a high probability of occurring - well specifically I'm interested in the complement of this probability. I would be grateful for any suggestions for alternative approaches. May 23 comment Numerical precision of product of probabilities (normal CDF) @Arkamis sorry, I forgot the negative sign... May 23 revised Numerical precision of product of probabilities (normal CDF) added 13 characters in body May 23 comment Numerical precision of product of probabilities (normal CDF) @Arkamis the idea is that the product of the $k$ probabilities will give me $P( \cap_k \{X \le x_k\})$ which should be in the order of $1 \times 10^{-6}$ May 23 comment Numerical precision of product of probabilities (normal CDF) @SamratMukhopadhyay The variables are normalized to zero mean and unit-variance (I updated the question) May 23 revised Numerical precision of product of probabilities (normal CDF) added 9 characters in body