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Alternatively, simulation can be accomplished by first generating a Laplace variate T=σ X+μ, where X is a standard Laplace, followed by Y=|T|.

Then, the decoding of a WZ frame is performed by first generating a side information (SI), that is an estimate of the missing frame, usually obtained by motion compensated interpolation between two adjacent previously decoded key-frames.

A common restriction on the encoding process is to assume that (mathcal {X}) is created by first generating a bias vector (vec {P} in (0,1)^{ell }) (by choosing each entry P i independently from a certain distribution f P ) and then generating code words (vec {X}_{j} in mathcal {X}) according to (mathbb {P}(X_{j,i} = 1) = P_{i}).

The second method, based on the concept of "enrichment", measures the "signature-profile" similarity by first generating a signature (a short list of top changed genes) from one profile, then applying a nonparametric technique to assess the non-random distribution of these signature genes in another ranked profile, as previously described in the Connectivity Map (CMap) analysis [16].

The fluorescence was normalized to AMC levels by first generating a standard curve for AMC fluorescence.

We create each dataset by first generating a tree with three leaves and assigning its three edges with different lengths.

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The fusion filter evaluates the initial estimate of ( P S, A S ) by first generating the binary transformation matrix U LS (to transform L to S), and transmitting ( P S, A S ) to robot 1.

Database searching was performed by first generating the full 6-frame translated database and an equivalent reverse decoy database [36].

This is achieved by first generating the least squares fit polynomial(s) of the current points.

On the other hand, Dps2, assisted by RNA, first generate a different class of toroid, which finally form coral reef structure in late stationary phase.

Specifically, for a ciphertext ct=(c0,c1,c2)∈(R q )3 given by the computation (6) (note that ct has three components generated by one homomorphic multiplication), we first generate a random polynomial r(x) = r_{1}x + cdots + r_{n-1}x^{n-1} in R and then compute a ciphertext given by mathsf{ct}' = (c_{0} + r(x), c_{1}, c_{2}).

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