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The phrase "a weak set of" is correct and usable in written English.
It can be used to describe a collection or group of items, ideas, or arguments that lack strength, effectiveness, or robustness.
Example: "The report presented a weak set of evidence to support its claims, making it difficult to draw any solid conclusions."
Alternatives: "a flimsy collection of" or "a poor assortment of".
Exact(8)
Just a strong reaction to a weak set of Chinese factory data?
Analysts at Charles Stanley said: Diageo has released a weak set of interim results, which were towards the lower end of market expectations.
The rejection of Mr. Kasyanov left Mr. Medvedev facing a weak set of opponents: Gennadi A. Zyuganov, leader of the Communist Party; Vladimir V. Zhirinovsky, the ultranationalist leader of the Liberal Democratic Party; and Andrei V. Bogdanov, the leader of the small and relatively unknown Democratic Party.
The gist of it was that the E.P.A. — seeking as usual to please industry — had approved a weak set of regulations that would let many plants off the hook for emissions reductions that would be required under any honest reading of the law.
Motorola launched a strategic review in January, following a weak set of fourth-quarter earnings that were weighed down by troubles in its handset business.
The State had a chance and blew it, even with a weak set of evidence, because jurors at least bought into the prosecutor's theory that Zimmerman triggered the incident by not staying in the car like the police told him to do.
Similar(52)
As such, it's really difficult to understand if a stronger, versus a weaker, set of rules are being written.
Training for House members would be a welcome change for a chamber that Holman says "has been notorious for coming up with a weaker set" of ethics rules.
When it appeared that the FCC was favoring a weaker set of rules, Obama spoke out in November and called for the strongest possible regulations over cable and telecom companies.
Born in Vienna in 1924, Lisl (Novak) Gaal graduated from Hunter College and received her Ph.D. in 1948 at Harvard Ratcliff Collegee) with a dissertation, "On the consistency of Goedel's axioms for class and set theory relative to a weaker set of axioms," under Lynn Loomis and Willard Van Quine.
Using a quasi-experimental research design that allows for causal inferences under a weaker set of assumptions than the regression models commonly used in the electoral systems literature, we find that incumbency causes a gain of 1.4 1.7 percentage points in PR vote shares.
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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