Your English writing platform
Discover LudwigSuggestions(2)
Exact(2)
where Δ θ i indicates the level of angular uncertainty.
Definition 3.3 Let us define the functional Angv [ f ] ≐ Δ f P E f ( P ), where E f ( P ) ≐ ( E f ( P 1 ) ) 2 + ( E f ( P 2 ) ) 2 and Δ f P ≐ ( Δ f P 1 ) 2 + ( Δ f P 2 ) 2. We denote with Δ Θ [ f ] the corresponding measure of angular uncertainty Δ Θ [ f ] ≐ arctan ( Angv [ f ] ).
Similar(58)
For our robust leakage-bounded precoders, we determine the size of the angular uncertainty regions to match the uncertainty of the LOS direction caused by the user movement.
In contrast, small off-diagonal elements correspond to a uniform distribution of axes which causes the angular uncertainty of all points on the object's surface to be almost constant.
The instrument is fully automated to collect Raman spectra across a range of incident angles from 20.50 to 79.50° with an angular spread of 0.4 ± 0.2° and an angular uncertainty of 0.09°.
The experimental results show that the displacement uncertainty and the angular uncertainty of the proposed measurement system are less than 1.2 µm and 0.4″, respectively.
- The multiple scattering in the rock leads to an angular uncertainty of about 10 mrad on the average and larger for low momenta of the muons emerging from the mountain.
If the angular uncertainty of its direction is Δθ, the distance to the asteroid is D, and the surface slope is α, the error of the LIDAR range associated with the shift in the laser footprint position from the position without uncertainty is approximately (D(Delta theta )sin alpha).
The nine angular uncertainty regions of robust leakage-bounded angular beamforming have a width of ψmax=±1.6° in this example.
In problem (P4), we extend the number of constraints of our optimization problem by accounting for the angular uncertainty regions; this directly impacts the computational complexity of the problem.
In this example, we consider only a single specular component S=1 per user; in the robust leakage-bounded optimization problem, we additionally assume an angular uncertainty region of width ψmax=± 1.6° in azimuth and elevation around each specular component.
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