The phrase "a progress of approximation" is not commonly used in written English and may sound awkward.
It could be used in contexts discussing gradual improvements or refinements in a process or understanding.
Example: "The research showed a progress of approximation towards the final solution, indicating that we were getting closer to our goal."
Alternatives: "a process of approximation" or "an advancement in approximation".
With his colleague, Christos Papadimitriou, a computer science professor at Columbia Engineering, he defined a complexity class of approximation algorithms that helped to explain why so little progress had been made in solving certain optimization problems.
What this figure actually describes is a range of approximation.
During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability.
The problems discussed spanned a representative cross-section of approximation algorithms, and illustrated the exciting range of mathematical areas that were needed to make progress.
You study it through a series of approximations.
Medical science is only a series of approximations".
But Iraq's biological weapons, says Unscom's most recent report to the Security Council, represent an area "unredeemed by progress or any approximation of the known facts".The surprise is not that Iraq is still trying to run rings round Unscom's inspectors.
So that any progress of a generally applicable kind can be made, approximations are necessary.
In the 1990s, parallel developments in techniques for designing approximation algorithms as well as methods for proving hardness of approximation results have led to a beautiful theory.
I will review the status and progress of pulsar magnetospheric modeling in various approximations, including force-free and relativistic magnetohydrodynamics, culminating with recent developments of fully kinetic simulations of pulsar magnetospheres.
There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective.
