The phrase "a new variation for" is correct and usable in written English.
It can be used when introducing a different version or adaptation of something, often in creative or technical contexts.
Example: "The artist presented a new variation for the classic song, adding a modern twist to the original melody."
Alternatives: "a fresh take on" or "an alternative version of".
The program also includes a new variation of orderly algorithm for generating undirected graphs.
She has been using KickStart's new Hip Pump --- a new variation of the original MoneyMaker -- for more than two years.
A new variation of greedy assemblers (specifically designed for short reads and based on a contig extension heuristic scheme) works with an efficient prefix-tree data-structure.
The present study demonstrates a new variation of the genetic algorithm (GA) technique for engineering applications.
Defining a new variation value for a node, (e.g. such as the null-variation), can be done by adding new rules into the program, while in the TDD approach, this requires modification of a significant part of its implementation.
Huawei is one of the world's big handset makers, but it originally started in networking equipment and this deal appears to be about building on that latter business, specifically in developing services for a new variation on LTE called LTE-V.
Cyberbullying may look different than the type of bullying we grew up with, but it is still the same problem we've been dealing with for decades, just a new variation.
That variation has major genetic disease-generating capability but also provides new variation for evolutionary processes.
Interspecific and inter-subspecific population development has already been initiated and has great potential to invigorate populations of O. sativa and release new variation for long-term selection by breeders.
This month, at the Brooklyn Academy of Music, as part of a celebration of the seventieth birthday of Steve Reich, Khan showed a new piece, "Variations for Vibes, Pianos, and Strings," to a Reich composition of the same name, and it was a surprise, because it was less kathak-based, less rhythm-driven, than anything else we have seen by him.
