Exact(4)
Then we can construct a graph G' by doubling one edge in G and a map f': G' → G' such that f' is homotopic to the identity and such that f' restricted to G equals f and such that f' has only one other periodic point-a fixed point.
In a year of flat--or worse--research budgets (referring to the recent budget doubling, one knowledgeable source called these years "the era of the halving of the NIH research budget," her tongue only slightly in her cheek), NIH raided the sacrosanct R01 pool and extracted a third of a billion dollars over 5 years.
At first, he gave about 1 2 raisins to the fixed partner while generally giving 2 3 raisins to the doubling one.
From the seven individuals who started giving back minimal amounts in Phase 2, one behaved differently with each partner's quality of Phase 3; while he consistently gave one raisin to the fixed partner, he eventually stopped exchanging with the doubling one.
Similar(56)
Experts would double one no-trump for takeout, but she was able to get back on track by doubling when South repeated his spades.
Rondell White doubled one out later to make the score 10-8.
In this auction Antonio Sementa (North) doubled one heart to show four or five spades.
In the other room, Nicklas Sandqvist (the English North) doubled one no-trump for penalty.
For example: "During Deborah Pryce's congressional tenure, gas prices have more than doubled," one learns from a website called www.badpryce.org.org
Against Denmark, the Norwegian North improvised, by bidding an unusual two no-trump when his partner doubled one no-trump.
In the next columns each of these parameters is doubled, one at a time.
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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