Stabilizer extent is not multiplicative

Tensor rank is not multiplicative under the tensor product

The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an `-tensor. The tensor product of s and t is a (k + `)-tensor. Tensor rank is sub-multiplicative under the tensor product. We revisit the connection between restrictions and degenerations. A result of our study is that tensor rank is not in general...

Is melatonin an adjunctive stabilizer?

P-value: What is and what is not

The misinterpretation and misuse of p-value have been increasing for decades. In March 2016, the American Statistical Association released a statement to warn about the use and interpretation of p-value. In this study, we provided a definition and discussion of p-value and emphasized the importance of its accurate interpretation.    

Log-normal distribution from a process that is not multiplicative but is additive.

The central limit theorem ensures that a sum of random variables tends to a Gaussian distribution as their total number tends to infinity. However, for a class of positive random variables, we find that the sum tends faster to a log-normal distribution. Although the sum tends eventually to a Gaussian distribution, the distribution of the sum is always close to a log-normal distribution rather t...

The projective plane is a stabilizer

Article history: Received 24 February 2009 Available online 2 June 2009