end{aligned} Second leading term.
end{aligned} Third leading term.
We decompose the resulting linear map into a high-frequency leading term and a lower-order (smoother) remainder and show that the spectral analysis of the leading term may be described in terms of ray geometry.
We will see that this is not true in degrees higher than 4. Again we compare the successive leading terms: First leading term.
From the mathematical point of view, one would expect the integral term in the equation above is dominated by the leading term − λ ∇ u.
This function is 2 π ν -periodic in time, with leading term e i ν z c n + 1 c n e P ( n + 1 n ) + e − i ν z c n − 1 c n e P ( n − 1 n ).
Functional groups represented by their most significant (leading) term are visualized in the network providing an insightful view of their interrelations.
Also other ways of selecting the group leading term, e.g. based on the number or percentage of genes per term are provided.
For instance, when the questioner used the leading term "smashed," more witnesses said that they had seen, in the video, the car windows shattering; in fact, the windows had not broken.
Let us begin with constructing the leading term.
The leading term of this asymptotics is found explicitly.
