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IEVref: | 102-04-31 | ID: | |

Language: | en | Status: Standard | |

Term: | surface | ||

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Definition: | set of points of a three-dimensional point space, the position vector of which is a continuous function of the pairs of real numbers fu and v in some region U$r=f(u,v)$ where $(u,v)\in \text{U}\subseteq {R}^{\text{2}}$ Note 1 to entry: A surface can also be generated by a family of curves dependent on one parameter or, in a three-dimensional space, be defined algebraically by the equation $f(x,\text{}y,\text{}z)=0$. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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$r=f(u,v)$ where $(u,v)\in \text{U}\subseteq {R}^{\text{2}}$

Note 1 to entry: A surface can also be generated by a family of curves dependent on one parameter or, in a three-dimensional space, be defined algebraically by the equation $f(x,\text{}y,\text{}z)=0$.