Your English writing platform
Discover LudwigSuggestions(1)
Exact(12)
This region supports a population of approximately 150,000 people in east Bavaria, Germany; the operational area that we covered extended up to 35 km in radius (Figure 1). Figure 1 Map showing Regensburg and the surrounding area.
In the first phase, we measured diameter at breast height (DBH) and stem height of 3574 trees (m 1) in 23 randomly located circular plots (20-m radius) (Figure 2) for estimation of stem volume; only trees with DBH ≥ 5 cm were considered.
DISTANCE software [20] consistently estimated higher abundances than the method of counting birds within a 50 m radius (Figure 3; Table S2).
Next, these data were re-positioned on a unit circle to represent the data on an annulus with fixed radius (Figure 3, right square).
The strongest correlation between bumble bee diversity and the proportion of impervious surface was found for the 1000 m radius (Figure 1), but the same pattern was found for the other two radii as well (Table 3).
The X, Y, Z positions and rotation of the ball, calculated using the aerodynamics model, were used to animate, in real-time, a black and white textured sphere corresponding to the colour and size of a real soccer ball (0.11 m radius) (Figure 2; Movie S2).
Similar(48)
We assume that the shape of LNT can be approximated by a cylindrical surface of radius R and length L. Since radii of both vesicles are much larger than the tube radius, the junctions between the cylinder and vesicles are modelled by toroidal surfaces with the inner radius R + r and crossection radius r (Figure 2).
That is, consider two protein sequences G1 and G2 with sequence distance d, and the neighborhoods NG1(r) and NG2(r) around them (with some given radius r) (Figure 2).
We approximate the actual stent's geometry of a cylindrical metal mesh by a homogeneous thin cylinder of the length l and the radius R (Figure 5).
The moment tensor of the spherical crack source can be obtained by integrating the moment density tensor of the tensile crack over the surface with radius R (Figure 1b): M = ∫ 0 2 π ∫ 0 π m R 2 sin θ d θ d ϕ, = Δ V D λ + 2 μ / 3 0 0 0 λ + 2 μ / 3 0 0 0 λ + 2 μ / 3, (4).
In order to interpret the result quantitatively, a simple confinement model [5] has been applied by considering electrons and holes confined independently in quantum dots of radius R Figure 4 Room-temperature photoluminescence from Ge nanocrystals embedded in HfO 2, Al 2 O 3, and SiO 2 matrix annealed at 900°C.
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