The phrase "almost dominating" is correct and usable in written English.
It can be used to describe a situation or condition where something is close to having control or influence but does not fully achieve it.
Example: "The team's performance was almost dominating, but they fell short in the final minutes of the game."
Alternatives: "nearly overpowering" or "close to prevailing".
The part which is almost dominated is the largest form majorized by t which is almost dominated by w.
The museum in Fort Lauderdale is almost dominated by Sultan Mehmed's presence.
The huge flagpole that almost dominates the square was a nationalist symbol erected by a past military regime.
Moolah was a small player in the bitcoin market, but almost dominated the smaller meme-based cryptocurrency Dogecoin.
By means of Hilbert space techniques the almost dominated and the singular parts are identified with the regular and a singular parts of the form.
The Lebesgue decomposition is an example of a Lebesgue type decomposition, i.e., any decomposition into an almost dominated and a singular part.
"Years ago the runways were almost dominated by black girls," J. Alexander, a runway coach on "America's Next Top Model," told Guy Trebay in The New York Times in 2007.
The superoxide ion predominates at high ratio of O2/Co2 partial pressures while for the gas compositions of lower ratio of O2/CO2 partial pressures the reaction process is almost dominated by diffusion and proceeds according to superoxide mechanism.
A nonnegative form t on a complex linear space is decomposed with respect to another nonnegative form w: it has a Lebesgue decomposition into an almost dominated form and a singular form.
"Years ago, runways were almost dominated by black girls," said J. Alexander, a judge on "America's Next Top Model," referring to the gorgeous mosaic runway shows staged by Hubert de Givenchy or Yves Saint Laurent in the 1970s.
