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Sentence The phrase 'setting the first' does appear to be grammatically correct and is widely used in spoken and written English.
It usually refers to establishing a baseline or prototype for something. For example, you could say "This is the first car we are setting the first standard for what a luxury car should be."
Exact(50)
The conceit of setting the first act in the squalid sacristan's office works reasonably well.
"I have an interest in setting the first few novels in rural Lancashire.
"Tomato Head (Green)," enthusiastically fought over, climbed to $4.56 million, setting the first of the week's several world auction records.
In September 1960, he successfully descended to a depth of 45m, in the process setting the first of 17 records in the variable buoyancy category.
Mr. Mostow somberly evokes "Das Boot" by setting the first few minutes on U-571 and running subtitles as the Germans go about their work.
The new rules, completing four years of work, will affect virtually every doctor, patient, hospital, pharmacy and health insurance plan in the country, setting the first comprehensive federal standards for transactions now regulated by a jumble of state laws.
Similar(6)
Similar to the previous cases, the optimal wholesale price can be obtained by substituting the retailer's reaction functions into Eq. (12) and setting the first-order condition to zero.
Setting the first-order derivative of Eq. (15) in terms of β to 0, we obtain the equation begin{array}{*{20}l} 1-nbeta & =eta 1-beta)^{n}, text{where }eta & =eta 1-betama}{T_{overline{s}}}.
Setting the first-order derivative of the objective of (11) to zero yields ∫ 0 γ max, n ( 1 − e − x ) Q e − Q β n x x dx = ∫ 0 γ max, n e − 2 Q β n x x dx.
By setting the first-order derivative (w.r.t. w j ) of the above expression to zero, we have sum_{i=1}^{n}w_{i}text{cov} z_{i}, z_{j}) = text{cov} z_{0}, z_{j}), quad j=1, 2,cdots,n (16).
Environmental groups cheered the finalization of the Clean Power Plan setting the first-ever limits for carbon pollution from existing power plans.
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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