Real Exponential Function
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A Real Exponential Function is an exponential function whose exponent is a real number.
- Example(s):
- Counter-Example(s):
- See: Natural Exponential Function.
References
2004
- (Carpinelli et al., 2004) ⇒ Guido Carpinelli, Fabrizio Iacovone, Angela Russo, Pietro Varilone, and Paola Verde. (2004). “Analytical Modeling for Harmonic Analysis of Line Current of VSI-fed Drives." Power Delivery, IEEE Transactions on 19, no. 3
... Equations (7) and (8) also hold in the case of complex roots if the real exponential function in (7) and (8) is replaced with a complex exponential function [8]. The expressions of the coefficients,,, in (7) and (8) is reported in Appendix A. On the basis of (7) and (8), the time...
2003
- (Fletcherhomas et al., 2003) ⇒ P. T. Fletcherhomas, Conglin Lu, and Sarang Joshi. (2003). “Statistics of Shape via Principal Geodesic Analysis on Lie Groups.” In: Computer Vision and Pattern Recognition,
- QUOTE: ... ||u|| = (|x|| 2 + ρ 2 + 1 2||Av|| 2 + 1 2|| Aθ|| 2) 1 2, where the matrix norms are Frobenius norms. The exponential map for R3 is the identity map, and the exponential map for R is the familiar real exponential function. ...
1995
- (A et al., 1995) ⇒ A Mansoor., W. M . Grady, R. S . Thallam, M. T . Doyle, S. D . Krein, and M. J . Samotyj. (1995). “Effect of Supply Voltage Harmonics on the Input Current of Single-phase Diode Bridge Rectifier Loads." Power Delivery, IEEE Transactions on 10, no. 3
... QUOTE: C2 (n) sl + Equations (5) and (6) also apply to the complex root case (ie, imaginary b, complex SI and s2) if the real exponential function in (5) and (6) is replaced with a complex exponential function. Constants Cl (n), C2 (n), e..., C7 (n) are defined as 1 C n..
1988
- (Royden et al., 1988) ⇒ Royden, Halsey Lawrence, and Patrick Fitzpatrick, ..... (1988). “Real analysis" , New York: Macmillan, Vol. 198. No. 8.