Your English writing platform
Discover LudwigSuggestions(5)
Exact(6)
(C ): Upper and lower bounds of the sphere packing problem for the N = 30case (green lines from A and B, respectively. The dark gray bar shows the range of defensible estimates under the sphere-packing framework, using the d calculated in (Bushdid et al., 2014 ).
The length of each bar shows the range of the property for each of the materials.
Each error bar shows the range of the mode of the diameter.
The error bar shows the range of variation of the thickness for three points at each site.
Error bar shows the range of 95 percentile confidence interval estimated by the bootstrap method (Efron 1979) with 10,000 replicates.
Arrows indicate the time points of the images as shown in (I – L ). (I – L ), representative images from H. Color bar shows the range (1 256) (scale bar: 20 µm).
Similar(54)
Vertical bars show the range of projected emissions for 2015 (Table 1).
Coloured bars show the range of loss costs for each class.
Horizontal bars show the range of possible seats controlled by Republicans based on polls completed in the week before the election.
The red bars show the range of the estimates for the individual years; (b) the estimated value of this energy at current prices; (c) estimated electricity saved (GWh, or 1 × 109 Wh) for each solar panel installation for January (blue), July (green) and combined (hatched); (d) as previous panel but expressed as a value in AUD assuming current pricing of 25 cents per KWh.
Error bars show the range of values.
More suggestions(17)
bar shows the frequency
bar shows the depth
bar shows the calculation
bar shows the resection
bar shows the lag
bar shows the variation
bar shows the expression
bar represents the range
bar shows the fluorescence
bar shows the gradient
bar shows the fraction
bar shows the timing
bar shows the impact
bar shows the distribution
bar shows the region
bar shows the performance
bar shows the high-magnetization
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