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One recent paper explores this possibility, looking at representing BRDFs in terms of an orthonormal basis of functions on the unit disk.
In order to fit this model, it is usual to assume that the functional observations and the parameter function of the model belong to a same finite space generated by a basis of functions.
The drawback of requiring a large number of parameters in the representation of these models can be circumvented by describing every kernel using an orthonormal basis of functions, such as the Kautz basis.
The homogeneous boundary condition is satisfied exactly by expanding the unknown variable into a polynomial basis of functions which are built upon the Legendre polynomials and have a zero slope at the interval extremes.
Let ((varphi_{k})_{k}) be an orthonormal basis of functions in (mathbf {H}^{1}(boldsymbol {Omega})).
Obviously, a set of such function again forms a basis of functions limited to the bandwidth.
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This is not elitist but does differentiate on the basis of function and objective.
The first generation of function prediction methods performed a simple function transfer via pairwise sequence similarity: that is, the most similar annotated hit was used as the basis of function prediction47.
The long-term goals of the Hammond group are to investigate the molecular basis of function for naturally-occurring regulatory RNAs and to learn how to adapt these RNAs for new applications inside cells, including molecular sensing and gene control.
Splints can be classified into three major groups on the basis of function: stabilization splints (centric splints), distraction splints, and anterior repositioning splints.
The goal of teaching the molecular basis of function is well suited for a flipped classroom setting, as the molecular origins of function can be illustrated with well-chosen in-class activities.
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