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Results on character sums over rings are surveyed, then engineering applications are given.
Our methods combine Fourier analysis, estimation of character sums, and estimation of the number of lattice points in polyhedra.
Mr. Tyson's character sums it up best: "It's the age-old story.
In the last years, the theorem of Weil on multiplicative character sums has been very frequently used for getting existence results on combinatorial designs of various kinds.
I think the breakdown of the character sums me up; sensitive, a bit shy, but determined to succeed come what may.
In this paper, some direct constructions for (3,n,4,1 -OOSPCs, which are based on skew starters and an application of the Theorem of Weil on multiplicative character sums, are given for some positive integer n.
Similar(14)
Weil's theorem on character sum estimates is very useful to do this.
By using Katz's and Bombieri's character sum estimation, we are able to design good deterministic compressed sensing matrices for sparse recovery.
If any Hollywood character summed up Everton's 2015/16 season, it probably wouldn't be the never-say-die, grit-over-glamour spirit of Rocky Balboa.
Here, for example, is a subordinate character summing up the protagonist and a goodly chunk of the plot with precision and wit that a reviewer might barely hope to match: "Wife left you, you got fired, laid off, you got no job, you cruise around eating Chinese food with your landlord, observing the takeover of your world by younger, less capable guys.
Much of the rest of the time, though, this film seems like the men in her life: too scared to get close to her. "She's available but she's the goddamnest fortress at the same time," says one character, summing up how the film-makers must have felt.
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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