| NOUN | a derivative vector | derivative vectors |
NOUN article.ind sg | pl
21 Übersetzungen
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Anwendungsbeispiele Englisch
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- Differential topology starts from the natural operations such as Lie derivative of natural vector bundles and de Rham differential of forms.
- Working with the current two-form and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of (curvilinear) coordinate system.
- The characterization of the curvature in terms of the derivative of the unit tangent vector is probably less intuitive than the definition in terms of the osculating circle, but formulas for computing the curvature are easier to deduce.
- Vector-valued functions can be differentiated and integrated by differentiating or integrating the components of the vector, and many of the familiar rules from calculus continue to hold for the derivative and integral of vector-valued functions.
- dotted with a unit vector gives the slope of the hill in the direction of the vector, the directional derivative of [...] along the unit vector.
- but its normal derivative. Physically, this corresponds to the construction of a potential for a vector field whose effect is known at the boundary of [...] alone.
- In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).
- is a differentiable function defined on some interval, then it is sufficient to show that the derivative is always positive or always negative on that interval.
- The Fréchet derivative allows for an extension of the concept of a total derivative to Banach spaces.
- Derivatives can be generalized to functions of several real variables.
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