The phrase "a successful solution for" is correct and usable in written English.
It can be used when discussing an effective answer or method to address a particular problem or challenge.
Example: "The team developed a successful solution for reducing waste in the production process."
Alternatives: "an effective answer to" or "a viable resolution for".
The poor performance in the case of generalized Rényi divergence can be explained by fact that the assumed models of the probability distribution of the amplitudes and log amplitudes are not exact enough to be used with generalized Rényi divergence for a successful solution of the permutation problem.
For example, Community Elf, an innovative startup, found that among the community of small businesses there was confusion and trepidation with regards to the use of social media and then developed a highly successful solution for these businesses.
This approach has been proven as a successful solution in many deployed systems for instance radio-astronomy [9, 10] and satellites for remote sensing [11].
Crucially, it offers a payment for a successful solution.
In particular, with an appropriate normalization, we show the inclusion of derivative information will almost-surely lead to improved conditions, e.g. related to the null-space and coherence of the measurement matrix, for a successful solution recovery.
We argue that key elements of a successful solution will need to account for dependencies between driving parameters, (such as wave height and tide level), and be able to predict step changes in the configuration of coastal systems.
The higher the similarity between contexts, the smaller the knowledge gap and instantiation uncertainty and the higher the chances for a successful solution to a new problem.
To cope with this challenge, the proposed mechanisms have their own weaknesses to be a successful solution, since they suffer from high values for both number of messages per query and the response time.
