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Arnoldi, J.-F., Loreau, M. & Haegeman, B. Resilience, reactivity and variability: a mathematical comparison of ecological stability measures.
This paper presents a mathematical comparison of procedural knowledge and causal knowledge, and discusses the potential roles and feasibility of causal knowledge across product development knowledge management.
And since the idea of mathematical comparison gives me hives, you can imagine how I feel about an awards institution that gave not a single meaningful prize to either David Simon's "The Wire" or Joss Whedon's "Buffy the Vampire Slayer," let alone "Freaks and Geeks".
From the relationship between the viscoelastic properties and oscillatory frequency, and the mathematical comparison of steady and oscillatory shear response of formulations using the Cox-Merz equation, it may be concluded that formulations containing 15% w/w PMVE/MA and either 6 or 9% w/w PVP exhibited rheological properties that were consistent with gel behavior.
The calculation of probe ratios consisted of a mathematical comparison between relative quantities of target DNA amplified from a test patient sample, to those generated in a normal control sample.
In this paper we have provided a mathematical comparison of a general model based on the theory of age- and generation-structured populations with other formulations (such as Smith-Martin, cyton and branching processes) and show under what conditions they are mathematically equivalent.
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The work, known as the Isleworth Mona Lisa, was exhibited publicly in Geneva by the Mona Lisa Foundation, which claims that 35 years of research, numerous tests and mathematical comparisons have led experts to conclude that it predated the Louvre painting by 11 to 12 years.
The exact solutions are validated through both mathematical proof and numerical comparisons with available p-Ritz solutions and the differential quadrature finite element method solutions calculated by the authors.
However, the complex interactions between endogenous circadian rhythms and external cues are currently not well understood, and a direct and mathematical based comparison between light-mediated and circadian-controlled gene expression is still outstanding.
To validate the proposed mathematical models, comparisons between experimental and theoretical results have been performed.
We employed the method of mathematically controlled comparison (MCC), which identifies the essential characteristics of a mathematical model by comparison with alternative models according to a set of mathematical criteria and statistical methods41,42,43,44.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com