Sentence examples for equivalent assumptions from inspiring English sources

Thus, applying equivalent assumptions as in Section 4.2 leads to the filter update begin{array}{*{20}l} &hat{mathbf{z}}_{n} =hat{mathbf{z}}_{n-1} + frac{alpha }{mathbf{y}^{mathrm{T}}_{n}mathbf{y}_{n}} mathbf{y}_{n} left(d_{n} - hat{mathbf{z}}_{n-1}^{mathrm{T}} mathbf{y}_{n}right) end{array} (53).

Despite this, it is possible to analyse some datasets under exactly equivalent assumptions in both packages.

In this study, a macro-mesoscopic coupling damage model was established to determine the durability of concrete under the coupling action of freeze thaw cycles and load based on the Lemaitre strain equivalent assumption.

An equivalent assumption is also made for the remaining excess mortality.

We can easily find that Assumption A1 is equivalent to Assumption A1-1: The vectors ({ nabla f_{i}(x) - nabla f_{t}(x), i in I x backslash { t}; nabla f_{j}(x),j in J x)} ) are linearly independent for arbitrarily (t in I x)).

The element is based on a first-order shear deformation theory and on the equivalent lamina assumption.

The equivalent laminate assumption is a commonly-used method to model the random architecture of discontinuous composites, but which has never been validated experimentally.

Therefore, the equivalent laminate assumption is suitable for predicting the modulus of discontinuous composites, but cannot predict their strength without considering the local variability in their microstructure.

This study aims to verify the equivalent laminate assumption, focusing on tow-based discontinuous composites (TBDCs), which have higher fibre-content and thus improved modulus and strength, compared to conventional discontinuous-fibre composites.

When multiple traits underlie the items on a scale, the "tau equivalent model" assumption is not respected and Cronbach's alpha underestimates internal consistency [ 27].

Assumption is equivalent to the assumption that there exists and a function such that: (i) for all, (ii), for all,, (iii), for all, where (4.20).