Sentence examples for basis such that from inspiring English sources

The groundwater in the Holocene strata is clearly influenced by recharge and the previously saline water aquifers receive freshwater on an on-going basis, such that the water is now becoming fresh.

Therefore we can choose the basis such that is diagonal and consider the difference system (4.17).

Consider the signal f=[σ1,…,σ N ] T with N=N x N y that can be sparsely represented by means of the transform matrix Ψ, which describes an N×N unitary basis such that f = Ψ H χ, (23).

There exists a compactly supported, smooth Riesz wavelet basis such that the corresponding frame operator is bijective on (L^{2}(mathbb {R})), but not on (L^{p}(mathbb {R})) for any specified (1< p<2) [1].

Step 4. For the error (delta=O k^{l}, h^{m})) needed, determine the number d of POD basis such that (k^{-1/{2}}h^{2}sum_{j=d+1}^{kappa}lambda_{j}ledelta^{2}).

Platforms like Patreon allow artists to set up pay-what-you-want crowdfunding structures on a project-by-project basis, such that fans can contribute anywhere from $1 to $100 for each video an artist releases (see Amanda Palmer and Peter Hollens for key examples).

While this is not significant with a minimal basis such as that employed in semiempirical methods, it can become unphysically large when extended basis sets are used.

It is possible that recall basis is present such that satisfaction with the overall doctor visit influenced the perception of time spent.

Where they went wrong was in expecting double-digit returns to continue, and to make decisions on that basis, such as taking out a second mortgage to support a more lavish lifestyle, or neglecting to save for retirement.

It was noted for printing fantasy with a rational basis such as werewolf stories that included scientific explanations.

In order to overcome the difficulty, we develop reduced mixed GMsFE basis methods such that the multiscale basis functions are independent of the random parameters and span a low-dimensional space.