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Discover Ludwig"calculating without" is a grammatically correct phrase that can be used in written English
You can use it when talking about performing a calculation or making a decision without a certain factor or consideration. Example: "I was able to save money by calculating without factoring in the cost of dining out."
Exact(6)
His most famous achievement was calculating without paper that the sixth Fermat Number (4,294,967,297) is divisible by 641 (and therefore obviously not prime).
Carroll does not elaborate on these issues, but this passage contains the central message: Simple models prevent our theories from having a "black-box" character, meaning that they will not simply be a recipe for calculating without giving any physical insight.
And here is Lavender (page 3): "Almost at once young Huntington bedazzled Noble by memorizing both the wholesale and retail cost of every item in the cluttered stock and then effortlessly calculating, without pen or paper or even moving his lips, the profit that could be expected from each piece, either in cash or in barter".
Here, for example, is Ambrose (page 48) on the childhood of railroad baron Collis P. Huntington Collis P. Huntington : "Then he got a job with a storekeeper, whom he impressed by memorizing both the wholesale and retail cost of every item in the cluttered stock and then calculating, without pencil and paper, the profit that could be expected from each piece".
He was dispassionate, determined and calculating without even trying- in short, the genuine article.
Alternatively, you can press keys: ⌘ Cmd+Space and start calculating without anything getting in your way.
Similar(54)
But these numbers are calculated without public scrutiny.
PISA and volume flow rate were calculated without geometric assumption.
"Cost-of-living increases for Social Security and veterans could not be calculated without the census".
The true cost of coal cannot be calculated without including the so-called airpocalypse.
n, Gold-standard FSC plots of eight maps calculated without masking the separately refined half-maps.
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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