Your English writing platform
Discover LudwigSuggestions(1)
Exact(16)
The M i points are always located between the P and Q original points.
At the ith perspective, U G i points from the camera position ( {boldsymbol{X}}_{C,i}^G ) to the landform position ( {boldsymbol{X}}_L^G ).
To do that, once detecting the boundaries, a robot stops moving forward and rotates at the maximal angular speed for a short time span until its forward direction (the direction of v i ) points into the bounded area again.
Indeed, u j vectors are not expected to be strictly orthogonal on the {P i } array: their projections on the sphere (r = a) are not located exactly at points of the optimal array and, furthermore, radii of P i points may vary within 200 kilometers (see next paragraph).
In order to exploit the STFD given by (13) under an eigen-decomposition form, we use an averaging method which consists of averaging the STFD matrix D y ̃ y ̃ ( t, f ) at (t i, f i ) points over the selected sources and over a number of T o selected tf-points (T o = M - N + 1), where M is the number of snapshots.
Considering equation (16) for the k th source signal at the (t i, fk, i) points, and substituting it into (2.1) we have, E [ D ̄ y ̃ y ̃ ] = 1 K T o ∑ k = 1 K ∑ i = 1 T o E [ a k d s k s k ( t i, f k, i ) a k H ] + E [ Δ a k d s k s k ( t i, f k, i ) Δ a k H ] + σ n 2 I (2.2).
Similar(43)
So the point set satisfying on the four sides of each cell is alternatively searched, and then the sought points (called I-points) can be connected to construct the isograms, respectively.
Fast Monte Carlo methodology for multivariate particulate systems-I: point ensemble Monte Carlo.
Furthermore, the probabilities p1 and p2 make sense, where p i is the fraction of i-points (a point with mark i) in the point process.
The fraction of i-points is denoted by p i, for i = 1, 2. Note that p i can be interpreted as the probability that a randomly chosen point has the mark i.
"Meyer Mortgage," I pointed out.
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