Sentence examples for represents a bound from inspiring English sources
If the distance is less than a bound constraint (the constraint that represents a bound on the number of nucleotides that separate two regions into different blocks), then these two regions are clustered into one block, otherwise they are classified as two different blocks.
Here the constant ϵ > 0 represents a bound on the measurement error and ∥ ⋅ ∥ denotes the norm in L 2.
where the constant represents a bound on the measurement error, and denotes the norm and (2.4). is the Fourier transform of function.
Physically, (g(x)) can be measured, there will be measurement errors, and we assume the function (g^{delta }(x in L^{2} 0, pi)) as the measurable data which satisfies biglVert g-g^{delta }bigrVert _{L^{2} 0, pi }le delta, (1.2) where the constant (delta >0) represents a bound on the measurement error, (Vert cdot Vert ) is (L^{2}(0,pi)) norm and δ is a noise level.
Physically, φ can only be measured with some measurement errors, and we would actually have a disturbed data function φ ϵ ( x, y ) = ∑ p, q = 1 ∞ φ p q ϵ sin p x sin q y ∈ L 2 , g ϵ ( x, y ) = ∑ p, q = 1 ∞ g p q ϵ sin p x sin q y ∈ L 2. for which ∥ φ ϵ − φ ∥ ≤ ϵ, ∥ g ϵ − g ∥ ≤ ϵ, where the constant ϵ > 0 represents a bound on the measurement error, ∥ ⋅ ∥ denotes the L 2 -norm.
The dark orange sphere represents a bound water molecule.
As a benchmark, the first column reports results when unpunctuality for every patient is set to 0. While this is not realistic, it does represent a bound on the benefits of eliminating tardy patients.
The final difference map also reveals an additional long tubular feature in hydrophobic pocket, perhaps representing a bound unknown E. coli metabolite carried through the purification procedure (Supporting Information Figure S5).
The Cramer-Rao bound (CRB) (Fig. 2) given in [29] represents a lower bound for the maximum likelihood estimation using one OFDM block of pilot symbols.
In his seminal working paper [37], Vuong proposed the misspecified Cramér-Rao bound (MCRB) and showed that it represents a lower bound on the error covariance matrix of any unbiased (in a proper sense) estimator of a deterministic parameter vector under misspecification of the true data model.
The following lower and upper bound definitions can now be made: (1) (2) Here, E t ′⊖ represents a lower bound on the template energy for the given set of allowed backbone conformations.
