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The RTH and multiquadric radial basis functions were placed in another category of infinitely smooth and scalable functions. |
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[[File:WiKipic1new.svg|thumb|Comparison of RTH, Multiquadric (ε = 2), and Linear RBFs]]
[[File:Bump function shape.png|thumb|Plot of the scaled [[bump function]] with several choices of <math>\varepsilon</math>]]
| [[Multiquadric]]:▼
{{NumBlk||<math display="block">\varphi(r) = \sqrt{1 + (\varepsilon r)^2}, </math>|{{EquationRef|3}}}}▼
| [[Inverse quadratic]]:
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| [[Inverse multiquadric]]:
{{NumBlk||<math display="block">\varphi(r) = \dfrac{1}{\sqrt{1 + (\varepsilon r)^2}}, </math>|{{EquationRef|5}}}}
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{{bulleted list
▲| [[Multiquadric]]:
▲{{NumBlk||<math display="block">\varphi(r) = \sqrt{1 + (\varepsilon r)^2}, </math>|{{EquationRef|3}}}}
| RTH:<ref>{{cite journal |last1=Heidari |first1=Mohammad |last2=Mohammadi |first2=Maryam |last3=De Marchi |first3=Stefano |title=A shape preserving quasi-interpolation operator based on a new transcendental RBF |journal=Dolomites Research Notes on Approximation |volume=14 |issue=1 |pages=56–73 |year=2021 |doi=10.14658/PUPJ-DRNA-2021-1-6}}</ref>
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