Continuous, "nowhere differentiable" functions had been rigorously introduced into mathematics by the German Karl Weierstrass in the 1870s, following suggestions by the German Bernhard Riemann and, even earlier, by the Bohemian Bernhard Bolzano, whose work was not well known.
The Poisson-Tweedie mixtures are rigorously introduced by formula (3).
This paper rigorously introduces the concept of model-based mutation testing (MBMT) and positions it in the landscape of mutation testing.
This paper surveys and mathematically expands recent advances in modeling and prediction by rigorously introducing the environment and aspects of errors and uncertainty into the genetic context within the framework of matrix and interval arithmetic.
After reformulating Henrich's model rigorously, we introduce an overlapping-generations analog based on the Moran model and derive an approximate formula for the expected change per generation of the highest skill level in the population.
The range of application of transmission error-based formulations is analysed and some new equations are proposed which make it possible to introduce rigorously meshing excitations via transmission errors.
"Every policy we propose and every economic instrument we consider for use will be rigorously examined before we introduce it in government.
In order to prove Theorem 1, we shall use the Banach's fixed-point theorem for the application F. First of all, let us introduce more rigorously the notion of a solution to our system.
This has to be introduced rigorously and effectively across the country, not some parts doing brilliant stuff and others doing nothing.
Here, we introduce and apply novel methods to rigorously identify annotation classes showing enrichment or depletion of trait-associated variants taking into account the underlying associations due to co-location of different functional annotations and linkage disequilibrium.
