This seems to contradict mathematical methodology; mathematics is not empirical (at least not usually), and most mathematical truths (e.g., "2 + 3 = 5") cannot be empirically falsified by discoveries about the nature of the physical world.
"The algorithm within the online assessment reviews signs of non-natural growth of skin lesions and is based on an established mathematical methodology in biology called fractal geometry.
As for the mathematical methodology, we articulated it as a discrete bilevel mathematical programing.
It could be seen as an implementation to the existing mathematical methodology.
If, as a matter of mathematical methodology, you leave the odd numbers out, you are not going to end up with odd numbers.
In addition, as a mathematical methodology, it can be applied to other high-throughput technologies for which a probability distribution function of observed abundances has been computed.
Development of statistical and mathematical methodology to study such data plays a key role to elucidate and model the mechanisms behind the cell biochemical complex architecture.
The authors' statistical and mathematical methodology is complex.
AG and AZ developed the mathematical methodology for identifying dominant systems.
The details of the mathematical methodology and the simulation are provided in Additional file 1.
