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The phrase "on the first glance" is correct and usable in written English
You can use it when describing an initial impression or knowledge that you receive upon looking at something for the first time. For example, "On the first glance, I immediately knew that this was going to be an amazing experience."
Exact(1)
Once more the longing of a multitude struggling slowly across a venomous wilderness fixed itself on the first glimpse of a Jordan beyond; for most men the Rhine was the physical goal of effort, the term of endurance, the symbol of all attainment and rest.
Similar(59)
On Thursday, the first glimpse at the investigators' findings was released by British prime minister, Tony Blair, after the Americans declined to do so.
Using a single nucleotide polymorphisms (SNPs) genotyping strategy, one previous research provided the first glimpse on the genetic mechanisms for high-altitude adaptation of Tibetan Mastiffs.
Sustainable Fisheries for Future Generations, published on Wednesday, provided the first glimpse into how the UK's fishing industry will change after Brexit.
The militants released their video to news organizations on Monday, providing the first glimpse of the girls in what has become a global search effort, spurred by a grass-roots outcry on two sides of the Atlantic.
Dancing on Air Patrons of the Doug Varone and Dancers performance at Connecticut College on Friday will get the first glimpse of "Castles," his new romantic full-scale work set to Prokofiev's "Waltz Suites".
For the young men on the trains, it was the first glimpse of a country which promised wealth and stability unheard of in the countries they had left behind.
UK viewers, who have been feverishly awaiting the seventh and penultimate season, had to stay up till 2am on Monday morning to catch the first glimpse, timed to simulcast with the US east coast premiere at 9pm Sunday – a transatlantic technique also recently used for Twin Peaks.
The genome sequence and reconstructed metabolic pathways of D. phosphitoxidans presented here provide the first glimpse on the genetic properties of this strain.
Although the epistasis used in this study was generated from yeast gene deletion mutants and the complex traits used were measured from yeast growth in specific laboratory conditions, both of which might be different from the real scenario in nature, our results provide the first glimpse on the genome-wide organization of epistasis underlying complex traits.
But one of the most memorable scenes in simian cinema is the first glimpse of a gorilla on horseback in the 1968 classic, Planet of the Apes.
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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