Your English writing platform
Discover LudwigExact(10)
Then we came to a smooth section, obviously in the lee of the shore when the freeze arrived, where the craft could really fly – 50, 60mph, outside the window a blur of white.
This image of a heron reflected on a smooth section of the bay is interestingly displays the shift of perspective caused by reflections on water and the slight distortion caused by ripples on the surface.
The anchor is firmly fixed within a borehole using either cement grout or resin, while the smooth section of the bolt inserted in the anchor can slide in response to rock deformation once the load exceeds the pre-set capability.
Hence ([16, Theorem.]), there is a smooth section with a Koszul-Malgrange holomorphic section of :.
Given a smooth section (xi ) of (Lotimes Lambda ^{0,q}_X)|_{Z}), the pullback (iota ^* xi ) is a well-defined (L -valued ((0,q))-form on (Z).
For a given two-form Ω defined on M we associate a smooth section Z∈Hom(T M,T M) defined via langleeta,Z xi rangle=Omega eta,xi) for all η,ξ∈TM.
Similar(50)
We develop a non-commutative theory of Dirichlet forms and symmetric Markov semigroups acting on the smooth sections of a C∗-algebra bundle.
The anchors are firmly fixed within a borehole using either cement grout or resin, while the smooth sections of the bolt between the anchors may freely deform in response to rock dilation.
More precisely, let be a smooth map and denote by the set of smooth sections of the pull-back bundle.
Without considering the active power output limits, SSSR boundary consists of several smooth sections, where boundaries 1 and 3 correspond to HB, and boundary 2 corresponds to SNB.
Denote by F ( M ) the algebra of smooth functions on M and by Γ ( T M ) the F ( M ) -module of smooth sections of TM over M. Then the Gauss and Weingarten formulas are given by (2.4).
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