Your English writing platform
Discover LudwigSuggestions(2)
Exact(2)
The principal results in On the Sphere and Cylinder (in two books) are that the surface area of any sphere of radius r is four times that of its greatest circle (in modern notation, S = 4πr2) and that the volume of a sphere is two-thirds that of the cylinder in which it is inscribed (leading immediately to the formula for the volume, V = 4/3πr3).
In directional statistics, the von Mises Fisher distribution gives the probability density function (PDF) on the surface of any sphere in p-dimensions.
Similar(58)
"This high representation will raise self-esteem among women in a predominantly male-dominated society where politics is largely viewed as a man's business," said Ba. "For young girls, the image of a parliament in which women are a significant majority clearly illustrates the limitless bounds of opportunities and the possibility of access to any sphere of [the] decisionmaking process".
The team ethic also applies to any sphere of life, including of course football.
The ancient but persistent recognition of the power of language is apparent in the respect for correctness in the use of language in any sphere of life having supernatural connections.
The kinds of information it transmits are of an astronomical type, as evidenced in the following example: "it [the agent intellect] knows how many revolutions of the sun, or of the diurnal sphere, or of any other sphere [have transpired] from the time at which someone, who falls under a particular pattern, had a particular level of good or ill fortune…" (Wars, II.6, p. 64).
American grandmaster Arthur Bisguier wrote "Robert James Fischer is one of the few people in any sphere of endeavour who has been accorded the accolade of being called a legend in his own time".
For five years, from spring 2006 to spring 2010, the D-Lab III: Dissemination class focus was all manner of innovations in any sphere.
What gave me such prescience, hardly characteristic of me in any sphere — I am the guy who explained to our readers why Nicolas Sarkozy had no future in French politics — is hard to say, save that if the Habs are to play and win at all they have to get behind the Flyers doughty but lead-footed defense.
His partner, Pieter van der Bijl, made 12. "He never believed in unseemly hurry in any sphere of life," Nourse wrote of his team-mate.
In a wider way, this also imbued me with an inbuilt Luddite-style distrust of any new technology in any sphere making grand claims of consumer invincibility and immortality.
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