Sentence examples for basis left from inspiring English sources

When they impulsively fled Oak Park for Europe in 1909, Frank and Mamah (this book is on a decidedly first-name basis) left behind two baffled spouses, nine aggrieved children (including a daughter of Mamah's dead sister) and a salivating American press corps eager to see the Faustian side of the lovers' rash move.

Open image in new window Fig. 5 CO2 sorption at 55 °C after the 'instant' (1 2 min) equilibrium (dry basis); left scale lumps, right scale powder.

Figure 4 Probability of recovery ϵ of 10-sparse signals as a function of the number measurement m obtained with the measurement matrix (12) for two different sparsity basis: the Dirac basis (left) and the Fourier basis (right).

Nevertheless, unless the equations contradict, it is still possible to determine a particular solution (mathbf {lambda } = left( lambda _{i}right) _{i=1}^{9}) as well as a basis (left{ mathbf {nu }_{1}, mathbf {nu }_{2}, ldots right}) for the nullspace of the matrix and express all solutions as (mathbf {lambda } + sum _{j} beta _{j} mathbf {nu }_{j}).

For each k, let C_{k}(mathcal{K}) = left{sum alpha_{i} leftlangle{sigma_{i}}rightrangle : alpha_{i} in mathbf{F}, sigma_{i} in mathcal{K}_{k} right } be a vector space with the basis (left {left langle {sigma }right rangle : sigma in mathcal {K}_{k}right }), where (mathcal {K}_{k}) is the set of all k-simplices in (mathcal {K}).

Is there any moral basis left to Israel's prosecution of this uneven "war" and to the international community's inaction?

Then when winter comes they will cancel trains on an almost daily basis, leaving us stranded.

The majority of existing annuities were sold on a "single-life" basis, leaving many widows or widowers without provision.

Unfortunately, the customers used their own calculations when redeeming their mortgage, arriving at a lower figure, and instructed their solicitor on this basis, leaving a shortfall balance.

The vast majority of porn performers work as independent contractors, negotiating on a per-gig basis, leaving workplace standards constantly up for debate and mostly up to producers.

All such disclosures are now reviewed and approved on a rolling weekly basis, leaving the monthly COI Committee meeting for deliberation of more complex and/or complicated cases.