Sentence examples for approximated by the same from inspiring English sources
The geometry and field are usually approximated by the same basis functions in IGA, such as the B-spline or the NURBS basis functions.
On the contrary, the observed smooth development with doping would imply that the underlying electronic structure of Bi2212 could be approximated by the same TB bands filled to different levels (Table 1).
Test results revealed that the mixed-mode crack propagation curves of steel plates strengthened at different stages of their fatigue life were approximated by the same crack growth curve in pure tensile mode by utilizing the shifting concept.
We show that the corresponding cardinal functions for a uniform, unbounded grid are all approximated by the same function: C X) ∼ (1/ sin (πX)/sinh (πX/ρ) for some constant ρ which depends on the inverse width parameter ("shape parameter") α of the RBF and also on the RBF species.
Consequently, for each natural integer n, the exact and approximate nth moments can be approximated by the same expression as given by (25) and (29).
with the same weights w j. (Again, technically the right-hand side converges to the left-hand side in the distributional sense as Δ → 0.) Thus I ε is approximated by the same sequence of weak input pulses as I, but the time between subsequent input pulse arrivals is ε Δ instead of Δ; that is, the input pulses arrive more synchronously when ε is smaller.
According to [12], under the assumption of high‐resolution quantization, the performance of any quantization method can be approximated by the uniform quantization with the same bits; hence, the quantization interval is y ( j + 1 ) − y ( j ) ≈ 2 ( δ 2 − δ 1 ) 2 B h − 1.
The male and female prototypical voices appear well approximated by the morphing-generated average of many same-gender voices, a process resulting in voices with (gender) average f0 and formant frequencies but with high HNR values; i.e., a very common voice but ideally regular and flawless, perceived as highly attractive by listeners [ 8, 9].
We prove that every graph can be approximated by a sparse graph almost as well as the complete graphs are approximated by the Ramanujan expanders: our approximations employ at most twice as many edges to achieve the same approximation factor.
The heredity integral was approximated by the approach of Goh et al. to determine the model parameters and the same estimation was used for constitutive modeling.
