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and this in turn is equivalent to the existence of a set of orthogonal projections Rα1...αiti (for any ti≤tn) that extend consistently the given set of histories and are perfectly correlated with the histories of the original set (Gell-Mann and Hartle 1990).
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However the identity :(b^r)^s = b^{r\cdot s} cannot be extended consistently to cases where b is a negative real number (see Real exponents with negative bases).
Aside from direct genetic manipulation, calorie restriction is the only strategy known to extend life consistently in a variety of animal species.
Extreme values of fractional rank were predicted using curvilinear regression (with r2 consistently >0.99) to consistently extend estimates of λ below about 1×10−7 attainable by fitting the observed data in the most extreme 2.5% SNP frames into their resampled distributions.
They must be able to consistently extend survival for the long term (7 to 10 years), rather than the midterm (3 to 5 years) more typical of contemporary devices; they must incorporate design elements that reduce shear stress and avoid stasis to reduce the frequent adverse events of bleeding, stroke, and pump thrombosis; and they must become more cost-effective.
CR is one of the most robust interventions to consistently extend lifespan across species [ 8- 10].
The study addresses a long running question in aging research, which concerns the interaction of the two regimes known to consistently extend mammalian (mouse) lifespan: caloric restriction and manipulation of the GH/IGF1 axis.
Two interventions have been identified to date in invertebrate, vertebrate, and mammalian model organisms, which consistently extend lifespan: dietary restriction and repression of growth hormone/insulin-like growth factor 1/insulin receptor pathways.
In that report [ 10], dSir2 expression from the Sir2-myc2 and dSir2EP2300 transgenes were both reported to be below the critical level we determined is necessary for life span extension (less than 1.5-fold increase), while the Sir2-myc9 transgene was expressing at a level of expression that is likely too high (~8-fold) to consistently extend life span.
We illustrate our conditions on a highly cited three trophic level model from population dynamics, showing how to extend this system biologically consistently to a closed ecological system.
Gardner has voted consistently to extend certain provisions of the Patriot Act.
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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