The phrase "a basis function" is correct and usable in written English.
It is typically used in mathematical or statistical contexts, particularly in discussions about functions that serve as building blocks for more complex functions or models.
Example: "In this analysis, we will use a basis function to represent the underlying trends in the data."
Alternatives: "a fundamental function" or "a core function".
From this observation, the supposition made in this study is that a guidance law can be designed by representing the command as a product of a basis function vector and a constant coefficient vector.
A basis function approach, which represents the design space by linearly combining the hydrodynamic performance coefficients of a diverse set of basis platform geometries, was taken as the most straightforward way of physically constraining the platform hydrodynamic performance.
Starting with a large dimension dynamical system, which represents a projection of a set of coupled partial differential equations onto a basis function, we discuss the relative effectiveness of the time evolution approach, the test function approach, and the direct method.
The MARS model is a non-parametric regression model that splits the data and fits each interval into a basis function and ELM is similar to a Single Layer Feed-forward Neural Network except that in ELM randomly assigned input weights are not updated.
Associated with each node in the domain is a basis function ϕ j.
To exploit spatial sparsity, we use a basis function to tailor the sparse representation of the rainfall intensity.
Parametric images were computed using a basis-function implementation of this model [17], whereas regional values were calculated using non-linear regression of Eq. 1.
We chose a linear, a radial basis function and a polynomial kernel.
The three kernels used for SVM training were a linear kernel, a polynomial kernel, and a radial basis function kernel.
The SVM approach used a radial basis function as a kernel.
The time domain basis functions along each model dimension are the complex product of a sinusoid basis function with a damping function.
