The phrase "advances by one" is correct and usable in written English.
It can be used in contexts where you are describing a progression or increment, often in relation to numbers, levels, or steps.
Example: "In the game, each player advances by one space for every turn they take."
Alternatives: "moves forward by one" or "increments by one".
The extension to non-smooth functions and the uniformity of the estimates in various (physical) parameters rest on recent advances by one of the authors (AVS).
Pentagon politics is like the battlefield in that advances by one force come at the loss of another's terrain.
When you go from a standard year to the next year, the same day of the year advances by one day.
The economics profession advances by one confusing financial disaster at a time.
Recall that as the seconds' hand in a clock completes one rotation, the time advances by one minute.
The molten material line rapidly solidifies as the laser beam retreats, and after each layer is formed, the laser head advances by one-layer thickness together with the powder feed nozzle, and a subsequent layer is created.
The Tories have advanced by one percentage point on the previous ICM survey a week ago, to 35%.
In fact, Rupert Murdoch is slipping into a pair of 6in stilettos right now, and advancing by one day the clock on when his own teenage daughters can feature topless on the page.
Any variations on the minor requirements must be approved in advance by one of the directors of the center.
Newcomers like me are interviewed several days in advance by one of Carson's "talent coördinators," who makes a list of the subjects on which you are likely to be eloquent or funny.
Mr. Roski of BattleBots has said that engineers, not students, do too much of the work on First robots; Mr. Kamen has argued that civilization does not advance by one group's demolishing the achievements of another, but rather by building something superior.
