Your English writing platform
Discover LudwigSuggestions(2)
Exact(1)
Alternatively, Eq. (2) can be simplified by modifying the term in the first bracket as follows frac{T}{{2pi h{r_{text{r}}}^{2} }} = Kleft[ {frac{2 }{n} omega } right]^{n} (7 where frac{r_{text{e}t{e}}^{ - 2/n} - R^{ - 2/n} }} equiv frac{1}{{{r_{text{r}}}^{ - 2/n} }} (8)and (r_{text{r}}) is an intermediary term used to simplify the equation of motion.
Similar(59)
And last week, the Treasury secretary, Henry M. Paulson Jr., asked lenders to help struggling borrowers by modifying the terms of their mortgages.
HOMEOWNERS who are having trouble making their monthly mortgage payments may be able to get some relief by modifying the terms of their loans.
Similarly, some well-intentioned proposals to prevent foreclosures by modifying the terms of the three million seriously delinquent mortgages risk setting off waves of defaults on the 52 million mortgages being paid.
By modifying the terms in the power balance relation of Eq. (1) according to the specified coupling matrices (varvec{C}_{text{as}}) and (varvec{C}_{text{sa}}) [Eqs. (9)–(10)], the hybrid WBM-SEA predicting procedure can then be formed which possesses a better computing efficiency than the hybrid FE-SEA model [49, 50].
He has argued that he has ordered Fannie and Freddie to take several other steps to reduce foreclosures, particularly by modifying the terms of mortgages.
The evidence for the risk, as identified in the case-control/GWAS studies can be expressed by modifying the terms such as "established risk allele", "likely risk allele", or "uncertain risk allele", if desired.
This model was obtained by modifying the regularization term mostly known as the Dirichlet regularization term given by ∫ Ω | ∇ u ( x ) | 2 d x, (9).
The dimensionless time exhibits an increased trend with decreasing oil/water viscosity ratio; especially when the oil/water viscosity ratio is lower than 5. Based on the correlated results, a new correlation function was developed by modifying the viscosity term in Zhang et al. correlation function.
In contrast, access to bankruptcy court would mean relief for some 600,000 homeowners — not by wiping out their debts, but by modifying the loan terms so borrowers can pay them off over time.
By modifying the constant terms and rewriting the above cost function, one can check that the minimizer of J ~ i is essentially the same as arg min s β 2 ∥ s − z ( i ) ∥ ℓ 2 2 + τ ∥ s ∥ ℓ 1 (9).
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com