Your English writing platform
Discover LudwigExact(4)
Because the recursive algorithm in (30) can be observed as a one-to-one translation of a frequency-domain (bin-wise) representation of adaptive PCA [54], it provides approximately a bin-wise unit norm, i.e., ( left |{widehat {H}_{l}}right |^{2} + left |{widehat {H}_{r}}right |^{2} approx 1) when the convergence toward the principle components is achieved.
It provides approximately 550 entries across 282 pages on topics including notable contributors, intelligence operations, historical events, and depictions of the CIA in fictional media.
It provides approximately 50-80% protection against invasive disease in the general elderly population [ 2], although there is still controversy as to the effectiveness of the PPV in the elderly [ 3, 4].
While a TB vaccine, Bacillus Calmette-Guérin (BCG), is available, it provides approximately 80% protection against TB meningitis and miliary TB in infancy and in young children but provides only variable protection against lung disease, at all ages, creating an urgent need for new candidate vaccines [ 10].
Similar(56)
When the EMDS used in the field operations, it provided approximately 22% fuel saving compared with the CDS.
It directly provides approximately 700,000 direct and indirect jobs -- which in turn generate more than $24 billion in wages and salaries.
The Banff Air 3 states that it's "Filled With 3 Liters of Banff Air, Provides Approximately 80 Breaths Of Fresh Banff Air," according to their site.
It will provide approximately 31,700 of its employees $700,000 each even if they were somewhat mediocre, and multiple millions for the stars!
The club provides approximately 350,000 reduced price tickets a season.
Currently, the Osborn provides approximately $2 million annually in free care to needy residents, said Mr. Zwerger.
Aspira now has offices in six states and Puerto Rico, and provides approximately 50,000 Latino students with career and college counseling, financial aid and other assistance.
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