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"Geologists know a lot about that area, but what they haven't been able to do is give a sequence to the timing of the rise of particular mountain masses and particular ridges and pieces," said co-author David Wake, a herpetologist and evolutionary biologist and professor of integrative biology at UC Berkeley.
We use the Liouville Neumann technique to design an algorithm that approximates the eigenvalues λ and eigenfunctions y(x) of the problem; that is, for every couple (λ,y(x)) of eigenvalues and eigenvectors of the problem, we give a sequence (λn,yn(x)) that converges uniformly on x∈[0,1] to the solution (λ,y(x)) of that problem.
Now, we give a sequence of the points of the space ℓ p ( F ˆ ) which forms a basis for the space ℓ p ( F ˆ ) ( 1 ≤ p < ∞ ).
(i) First, we show that G is compact at any (xin K), which ensures that G is locally compact around x̂. Give a sequence ({ (x_{i},y_{i})}subsetoperatorname{gph} G) satisfying (x_{i}rightarrow x).
The one difficulty comes in with existential quantification: the fact that one has a witness to (∃x.φ(x)) in each typed version does not immediately give a sequence witnessing this in the intended model.
Subdivision rules give a sequence of tilings of a surface, and tilings give an idea of distance, length, and area (by letting each tile have length and area 1).
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Continuing in this fashion gives a sequence of probability vectors as shown in Figure 21.3.
We are given a sequence of items that can be packed into m unit size bins.
The efficient Viterbi algorithm is guaranteed to find the most probable state path given a sequence and an HMM.
In an analysis problem, we're given a sequence, and we want to infer the hidden state path.
In the first task, the goal was to predict the future movements of the dog given a sequence of images.
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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