Sentence examples for basis such that the 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.

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].

Federally insured mortgage instruments were created and offered on a segregated basis such that the wealth of almost every white family that owned a home certainly before the passage of the Fair Housing Act in 1968 can be traced to explicit governmental racial discrimination.

All 32 subsequent subjects received ICC-1132 adsorbed to Alhydrogel, and were allocation to either the 20 mcg or 50 mcg cohorts on a first come, first serve basis, such that the first eight available subjects were assigned the 20 mcg cohort, while the last 24 subjects were assigned the 50 mcg cohort.

Equation (4) re-weights on a replica basis, such that the dominance of any single replica to the computed average is effectively minimised.

The program matches the complexity level of individual games with the child's current working memory capacity on a session-by-session basis such that the complexity of the task increases adaptively with the child's capacity.

Selection of therapeutic targets should have a sound mechanistic basis such that interference with the target has the potential to modulate key processes in cancer biology (Yap et al, 2010) and/or the radiation response (Zaidi et al, 2009; Mierzwa et al, 2010; Verheij et al, 2010).

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

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}).

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).

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).