The phrase "a variant version of" is correct and usable in written English.
It can be used when referring to a different or modified form of something, such as a text, product, or idea.
Example: "The author released a variant version of the original novel, which included additional chapters and character development."
Alternatives: "an alternative version of" or "a modified version of".
In them, a variant version of a gene called DCT may contribute to light skin.
The existence of infinitely many solutions to (1.2) has been derived by a variant version of fountain theorem in [18].
By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear -Laplacian equations:.
Some existence results for a nontrivial solution are established by the mountain pass theorem and a variant version of the mountain pass theorem in the general case 2 < p < N. Similar results are also established by combining the mountain pass theorem and a variant version of the mountain pass theorem with the Moser-Trudinger inequality in the case of p = N.
In [6], Hu and Wang obtained the existence of nontrivial solutions to problem (1) under suitable assumptions of (g x,u)) by a variant version of the mountain pass theorem.
We adapted a variant version of the Needleman-Wunsch algorithm [68], with a modification in the scoring function for the match between two affinity scores.
Wilke et al. (2008) proposed a time-variant version of DTF for epileptic EEG analysis, which shows promising first results.
Hyakunin Shūka (1229 1236?; a 101-poem anthology arranged at the request of Utsunomiya Yoritsuna to be copied onto 101 strips of paper and pasted onto the walls of his villa; it has 97 poems in common with Hyakunin isshu, suggesting that perhaps it is a misidentified and variant version of the Isshu).
It is the variant version of the mountain pass theorem, which allows us to find a ( C ) c sequence.
We further discuss the variant version of this problem with the block information.
Liu and He [7] discussed the existence of infinitely many high energy solutions of problem (1.1) under superlinear case by variant version of fountain theorem.
