Sentence examples for manner we define from inspiring English sources

In a similar manner, we define a location-scale regression model using the LPCNB regression model.

In the same manner, we define the mixture matrix in each frequency bin X f,:) = [X f,1),...,X f,N T )].

In a similar manner, we define ( {V}_k^{boldsymbol{F}} ) as the absolute difference between ( {S}_{{boldsymbol{F}}_i} ) and ( {S}_{{boldsymbol{F}}_{d(i)}} ) as follows.

In the same manner, we define the generalized projection [17] for a nonempty closed convex subset of a strictly convex, smooth, and reflexive Banach space as follows.

In a similar manner, we define D G 1, p for an open and G-symmetric subset of R N, that is, if x ∈ Ω, then g x ∈ Ω for all g ∈ G.

In a similar manner, we define the normalized instantaneous power gain G n (r n ) as follows: G n r n = 1 K d 0 d r e f γ H n r n (1) = G p l, n r n G f, n G s, n, (2) (3) (29).

By flagging peptides in this manner, we defined a set of 53 "true positive" and 40 "false positive" peptide identifications comprising 11 077 and 425 PSMs, respectively.

Continuing this manner we can define a sequence as follows: (2.3).

In a similar manner, we can define the path integral for more general noise processes than the Wiener process.

Proceeding this manner, we can define a sequence { x n } in X satisfying x n + 1 ∈ T x n, θ ( t n ) 2 ≤ F ( t n ) − F ( t n + 1 ), for each  n ∈ N, (8).

The main trick is that the updated ciphertext (v_{x}^{prime }) is generated in an incremental manner as follows: we define (v_{x}^{prime }=(v_{x}, P_{x})), where (P_{x}=(p_1, p_2, ldots, p_k)) denotes the location of bit positions with different values between the original and updated plaintext message.