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By identifying every natural number $n$ with the equivalence class of the pair $n,00)$, one may extend naturally the operations of sum and product of natural numbers to $\mathbb{Z}$ (see Enderton (1977) for details, and Levy (1979) for a different construction).
The operations of pull-back and push-forward by a linear map extend naturally to this class.
Machine learning, AI, and classical computer-science algorithms are deeply rooted in a visual way of thinking that does not extend naturally to reasoning about sound.
The ideas of procedural geometry synthesis extend naturally to procedural scene synthesis and can also be applied to other, nonbiological applications, such as the automatic synthesis of entire cities of unique buildings.
Since all standard analytic notions such as derivatives are linear, they extend naturally to the space of distributions.
Because the GSEA approach does not extend naturally to multiple studies, meta-GSCA is compared with an alternative approach.
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The method also extends naturally to plants in a polytope.
This definition extends naturally to 'incomplete' latin squares each having a hole on the same rows, columns, and symbols.
Here, we build novel protein structures by extending naturally occurring circular (single-loop) permutation to multiple loop permutations (MLPs).
The solver also maintains depth non-negativity and extends naturally to Riemann problems with an initial dry state.
There's also the recurring three-point visual motif, which extends, naturally, to best bud Asher (Cameron Monaghan) and gal pal Fiona (Odeya Rush).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com