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Formulas for derivatives of global flows and pullbacks
2013 American Control Conference, 2013In this paper, we compute time derivatives of pullbacks, scalar parameter derivatives of global flows, and scalar parameter derivatives of pullbacks. In the process, we prove reductive formulas for pullbacks involving natural lifts, as well as an explicit formula for the global flow of a tangent lift perturbed by a vertical lift.
Scott C. Amiss, Martin Guay
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An inclusion formula for derivatives
BIT, 1971Often an estimate of a derivative or its range over an interval is desired rather than the derivative itself. Error terms for numerical approximations may sometimes be rigorously estimated in terms of a number of values of the derivative and a “majorant”.
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Suppllementary Derivations/Formulas
Supplementary ...Calero Osorio, Daniel, Ayers, Paul
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On the derivation of Euler's formula
International Journal of Mathematical Education in Science and Technology, 1975(1975). On the derivation of Euler's formula. International Journal of Mathematical Education in Science and Technology: Vol. 6, No. 3, pp. 381-382.
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Closed-Form Formulas for the nth Derivative of the Power-Exponential Function xx
Symmetry, 2023Feng Qi, Wei-Shih Du, Jian Cao
exaly
A DERIVATION OF THE LORENTZ FORMULAE
The Quarterly Journal of Mathematics, 1933openaire +2 more sources
Reflection Formulas for Order Derivatives of Bessel Functions
Results in Mathematics, 2022Juan Luis González-Santander
exaly