Your English writing platform
Discover LudwigSuggestions(2)
Exact(1)
We obtain a δ parameter of the following form: begin{aligned} delta=& delta_{S} + delta_{mathrm{rot}} + delta_{c}, end{aligned} (24) where (delta_{S}) is a first order Schwarzschild term, (delta_{mathrm{rot}}) is the lowest order rotation term, and we gather all higher order corrections in (delta_{c}).
Similar(59)
In this paper we proposed a method to design and numerically calculate high-order rotation invariants from Gaussian–Hermite moments.
RS is the combination of several different effects, which become dominant at different angles of second-order rotation.
When both vertical alignment and first-order rotation of teeth are to occur simultaneously, a 3-dimensional force system is required.
For instance, by slightly offsetting the dowel and mounting the bracket on the side instead of on top, the effect of first-order rotation may be explored.
With minor modifications, the apparatus can also support study of third-order rotation, or torque, buccal/lingual and coronal/apical misalignment, and interbracket distance.
This result is suspected to be due to the lack of bracket prescription compensation on the dowel in the first-order rotation direction.
Through the developed and programmable user interface, operators are able to easily and accurately control many test variables such as velocity, acceleration, and bracket rotation (in this case second-order rotation).
In addition, it is more flexible as it can be degenerated to the first-order shear deformation plate theory (FSDT) of Reissner and Mindlin if the higher-order rotation coefficients are neglected and a shear correction factor is considered, or to the TSDT if the relevant rotation coefficients are constrained.
Players will determine their order of rotation before the game and follow that rotation throughout all the ends.
For 3D data, it is necessary to distinguish cases with even and odd order of rotation because the plane of symmetry runs through two sector boundaries if the order of rotation is even and through a boundary and a mid-plane if the order of rotation is odd (Table 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