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They are best characterized as definitions that allow for the proof of theorems about these numbers that would otherwise have to be postulated as axioms.
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Our experimental conditions do not allow for the ultimate proof of the existence of a proper attractor, i.e. the robustness of the differentiated cells to external perturbations, but the obtained results globally support the idea of attractor.
For those still unfamiliar with the concept Bitcoin is a peer-to-peer network that allows for the proof and transfer of ownership without the need of a trusted third party, the Goldman Sachs report explains.
Dufwenberg and Kirchsteiger (2004) showed that extending the concept of reciprocity for dynamic games does not allow for a proof of existence using backward induction, given that the best action of each player at each history not only depends on the strategy of the other players, but also on the actions of the same player at other histories.
We have used typical parameters of present state-of-art experimental setups in order to identify the required improvements of these setups to allow for a first proof-of-principle experiment.
Until then, it may be possible to allow for proof-of-principle and prevalidation studies to be conducted in accordance with the "intent" of GLP practices by requiring submitters to adequately document procedures and control measures and make experimental data open to regulatory review.
Although the LifeLines DEEP cohort is relatively small, it will allow for proof-of-concept studies into systems epidemiology.
The LifeLines DEEP cohort is relatively small (n=1539), nevertheless, it will allow for proof-of-concept studies using systems biology approaches.
While some states -- including New Jersey -- allow for exceptions with proof of paternity, in the case of lesbian conception, that exception is null.
Our use of a D. melanogaster microarray to estimate sequence divergence on a gene-by-gene basis for three fully sequenced heterologous species allowed for a proof-of-principle for this approach and allowed us to explore the success and biases inherent in this technique.
Although the older approaches allowed for establishing proof of principle, results came at the great expense of painstakingly calibrating for each measuring device.
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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