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The phrase "this note shows" is correct and usable in written English.
You can use it when you want to indicate that a particular note or message provides evidence or information about something. Example: "This note shows the results of our recent survey and highlights the key findings."
Exact(8)
But this note shows that Legg has identified two other categories of claim where he believes MPs should have to repay money.
This note shows that an empirical model designed to capture limits to arbitrage can explain the movement in prices over the recent past.
Recognizing that a government may be tempted to revise its policy design after innovations become available, this note shows how the performance of two policy instruments prices (uniform taxes) and quantities (tradeable pollution permits)—differ in such a setting.
This note shows that the solution-doubling argument and its implications apply to certain more general Low Connectivity Steiner (LCS) problems that are important in the design of survivable telecommunication networks.
This note shows that Contois kinetics, when used to describe the hydrolysis of biodegradable solids, are preferable to the traditional first-order kinetics when considering the optimal design of a steady-state two-stage anaerobic digester system.
This note shows how to solve a mechanism design problem and how to obtain revenue equivalence in a multi-agent quasilinear environment, where each agent's type space is a measurable subset of the real line, not necessarily convex nor finite.
Similar(52)
This research note shows under which conditions ranking functions on a field of propositions A over W and rankings on a language L are induced by pointwise ranking functions on W and the set of models for L, ModL, respectively.
This technical note shows how to perform revision TAA in patients with substantial bone loss.
Anyway, the findings of this research note shows that the scientific community started publishing many more editorials, letters and comments on Ebola only during or after the massive increase in deaths and media coverage.
This Extended Technical Note shows that the final accuracy level of reverse engineered surfaces depends on scanning distance and scanning angle of the laser beam, hence it also depends on the morphology of the scanned objects.
This note clearly shows that the unified coordinate system of Hui et al. involves interesting properties that should be considered in practical applications.
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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