"applications to analysis" is a correct and usable phrase in written English.
For example, you could use it in a sentence such as "We discussed the various applications to analysis that can be used to study trends in consumer behavior."
Once applications to analysis began to be found, however, attitudes began to change, and by the 1890s Cantor's ideas and results were gaining acceptance.
Applications to analysis of very large floating structures (VLFS) are reviewed and discussed in details.
Greenblatt, A direct resolution of singularities for functions of two variables with applications to analysis, J. Anal.
This problem arises in an application to analysis of software systems.
Its application to analysis of the DSs buckling in inclined rectilinear bore holes is described by Gulyayev et al. (2014).
RNA-seq is the new gold standard for whole transcriptome analysis but so far there are no reports of its application to analysis of differential gene expression in cattle liver.
Applications to quantitative analysis of interactions, allosteric processes and cDNA library screening are discussed.
Several "new" methods such as expert systems and fuzzy sets and their applications to damage analysis are briefly discussed.
Such models have important applications to algorithm analysis, portfolio-based algorithm selection, and the automatic configuration of parameterized algorithms.
Applications to the analysis of neurophysiological signals and EEG signals (early detection of Alzheimer's disease) are outlined.
Recently, a number of works related to AM-FM modeling of speech as well as its applications to speech analysis and recognition recently have been reported [5 13].
