"has increasingly realized" is a correct phrase in written English.
It is usually used to highlight the gradual and ongoing nature of someone's realization or understanding of something. Example sentence: As he spent more time in the city, he has increasingly realized the importance of public transportation in reducing traffic congestion.
"All of those nations have increasingly realized that terrorism is a danger to each and every one of us," Secretary Powell said.
Banks and other financial institutions have increasingly realized the necessity to measure and manage the credit risk of their loans.
In the past years scholars have increasingly realized that urban infrastructure modeling can not be addressed in a decoupled way: transportation networks in big cities are naturally multi-modal, and as such commuters use different modes to move around the city.
"In the past year, Kloudless has seen accelerating traction across all key developer metrics, as developers have increasingly realized the efficiencies of a 'build once, integrate many' approach to meeting customer demand for integrations," said Mark Kraynak of Aspect Ventures, who will be joining the board as a part of the financing.
American women have increasingly realized -- as have men -- the impact our opinions have in the voting booth and the marketplace.
"Over the past decade, experts working in this field have increasingly realized that under the right circumstances, most people affected by emergencies have been shown to be remarkably resilient," UNICEF Deputy Executive Director Hilde F. Johnson said at the launch of the new guidelines.
Actually, the power of social network analysis has been increasingly realized and the technique has gained huge interest in the research community.
While cell migratory behavior has been traditionally studied using simple assays on culture dishes, in recent years it has been increasingly realized that the physical, mechanical, and chemical aspects of the matrix are key determinants of the migration mechanism.
The benefit of these technologies in the area of process development for recombinant protein production has been increasingly realized.
It has been increasingly realized, however, that the conventional framework, attributional LCA (ALCA), may be inadequate for steering decision making.
