Your English writing platform
Discover LudwigSuggestions(5)
Exact(13)
Incorporation of methacrylic acid makes the surface of the spheres suitable for surface functionalization.
As a result, re-crystallization took place on the surface of the spheres to form many monocrystalline islands.
The most active sites were on the surface of the spheres or in the interface between the spheres and the solution.
The distance d between the defects was defined as the distance between the surface of the spheres and not between their centers.
In the high magnification SEM image (Figure 2c, d), a great number of cracks on the surface of the spheres can be clearly observed, indicating the porous structure of the spheres with a diameter about 100 nm.
This was suggesting that silver nitrate incorporation occurred only on the surface of the spheres, creating a sort of short-term antibacterial shell surrounding a silica core (Kawashita et al. 2003).
Similar(47)
This is what mathematicians call a mapping of the surface of the sphere onto itself.
A charge q at the centre of a sphere of radius r generates a field ε = qr/4πε0r3 on the surface of the sphere whose area is 4πr2, and the total flux through the surface is ∫SE · dS = q/ε0.
Now it is obvious by symmetry that the field has the same magnitude everywhere on the surface of the sphere, and this symmetry is unaltered by collapsing the mass to a point at the centre.
Here, S s is the average surface of the sphere.
Solute concentration at the surface of the sphere (mg/L).
More suggestions(2)
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