Euler's formula

English

Etymology

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Proper noun

1. Template:Lb A formula which links complex exponentiation with trigonometric functions:

   $e^{i\theta }=\cos \theta +i\sin \theta$

2. Template:Lb A formula which calculates the normal curvature of an arbitrary direction in the tangent plane in terms of the principal curvatures ${\kappa }_1$ and ${\kappa }_2$ and the angle $\theta$ which that direction makes with the first principal direction:

   ${\kappa }_n(\theta )={\kappa }_1{\cos }^2\theta +{\kappa }_2{\sin }^2\theta$

Hyponyms

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Related terms

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