The phrase "a most advanced" is correct and usable in written English.
It can be used to emphasize the high level of advancement of something, often in a formal or literary context.
Example: "The research team developed a most advanced algorithm that significantly improved data processing speeds."
Alternatives: "a highly advanced" or "an exceptionally advanced".
GiPStech has developed a very most advanced indoor positioning technology based on the world's geo-magnetic field which, they say, is accurate, reliable and cheap.
America's Basel 2 banks, however, will be obliged to use A-IRB, the most advanced method of assessing credit risk.
Our artificial heart is without a doubt the most advanced innovation in the field".
"To me, the U.S. is a country with the most advanced modern culture, a generous place where everyone, no matter where you're from, can find a comfortable life, and I like that," he said.
Prime Minister Yasuo Fukuda ordered a review of the Defense Ministry's structure amid mounting criticism of its handling of a collision between its most advanced naval destroyer and a small fishing boat.
But how did the international project of 1965 – which saw the UN and the world's finest planners and architects reconstructing a city on the most advanced lines – fail to leave a legacy?
The improvement of infrastructures in developing countries has become a priority for the most advanced economies, which have founded a broad range of international development organizations to undertake infrastructure projects worldwide.
Certainly, over the past decade or so, New York has become a truly thriving center of a lot of the most advanced activity in new media -- especially, in the last few years, social media.
The village is equipped with a library, Serbia's most advanced cinema and, most incongruously of all, an underground basketball arena - a tribute to the three world championships won by the former Yugoslavia.
