Your English writing platform
Discover LudwigSuggestions(2)
Exact(1)
"The ratios already turn up in maths and art, which suggests that the proportion systems capture some idea of simplicity for these numbers," said Harriss, adding that he is working on a proof that every algebraic number is the ratio of a rectangle belonging to a proportion system.
Similar(59)
Harriss's proportion systems are rectangles than can be subdivided into only squares and similar rectangles.
Mathematicians will recognise the ratios provided by Harriss's proportion systems as "algebraic numbers" – which are those numbers that are solutions to simple equations.
Another of Harriss's motivations was to bring the golden ratio into a wider family of what he calls "proportion systems".
The metre has proved useful for this purpose; Frank Lloyd Wright used a 4-foot (1.3-metre) rectilinear or diagonal grid; and Le Corbusier developed and widely published an additive proportioning system named by him the Modulor.
While our study of dynamic symmetry that underlies 150 real screens shows an unmistakable use of plan schemes of the proportioning system in 61% of them, few adhere absolutely to it.
In theory, with a modern proportioning system, the dialysate [HCO3−] can be varied over a wide range, allowing for individualization of the dialysate [HCO3−] to obtain an end HD plasma [HCO3−] of about 28 mmol/L.
We used a gas proportioning system (Cole Parmer® flowmeters on a multitube frame, Cole Parmer, Vernon Hills, IL, USA) to deliver precise mixes of 5% ultra pure CO2 and air (air only for controls) directly to the bottom of each rearing container via air stones.
In practical applications, image enhancement usually takes up a large proportion of system processing time and improved image enhancement can reduce the computing time of the vision detection system.
It would roll back existing contracts "in proportion to system changes".
In addition, the N.B.A. would roll back existing contracts "in proportion to system changes in order to ensure sufficient market for free agents".
Write better and faster with AI suggestions while staying true to your unique style.
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