The phrase "analytical functions to" is correct and usable in written English.
It can be used in contexts related to mathematics, engineering, or computer science when discussing the application or implementation of analytical functions.
Example: "The software is designed to apply analytical functions to large datasets for better insights."
Alternatives: "analytical methods for" or "analytical techniques to".
Data transfer error is examined using analytical functions to compare schemes based on interpolation, area-weighted averaging, and L2 minimization.
Arc4nix uses a decoupled client-server architecture that permits geospatial analytical functions to run on the remote server and other functions to run on the native Python environment.
Fitting analytical functions to 3D point clouds or DEMs is particularly effective in extracting topographic features, including planes, higher order surfaces, cones, and conic sections.
On the basis of GIS functions, we design deeper analytical function to take spatial obstacle factors, spatial environmental factors, spatial terrain factors, spatial traffic factors and cost factors into account.
Therefore, it is much more difficult to find an analytical function to express the relationship between the malicious data and the system parameters.
However, further studies and analyses are needed to validate analytical functions relating to the topside and bottomside parameters in order to contribute to the IRI modelling.
To our knowledge, there is currently no experimental estimate for Lp at these distances, which may be in part due to the difficulty of constraining Lp values by fitting experimental data to analytical functions at these distances.
The experimental processes to isolate the behaviors and the analytical functions used to model each are described.
The evaluation of disaster resilience is based on dimensionless analytical functions related to the variation of functionality during a period of interest, including the losses in the disaster and the recovery path.
Based on three analytical functions (up to 100 dimensions) and one groundwater solute transport case studies, the results showed that NSE_MT outperforms NSE_MH in the convergence, efficiency and accuracy of marginal estimation, and NSE_MT is slightly more efficient and accurate than NSE_DR.
