DSGE {biogeom} | R Documentation |
Calculation of the First-Order Derivative of the Simplified Gielis Equation
Description
DSGE
is used to calculate the first-order derivative of the simplified Gielis equation at a given -value.
Usage
DSGE(P, phi)
Arguments
P |
the parameters of the simplified Gielis equation, including |
phi |
the |
Details
The first-order derivative of the simplified Gielis equation with arguments simpver = 1
and m = 1
at a given -value is:
where P
has three parameters: ,
, and
.
Note
The argument P
in the DSGE
function only has
the three parameters: ,
, and
.
Author(s)
Peijian Shi pjshi@njfu.edu.cn, Johan Gielis johan.gielis@uantwerpen.be, Brady K. Quinn Brady.Quinn@dfo-mpo.gc.ca.
References
Chen, Z. (2012) Volume and area of revolution under polar coordinate system.
Studies in College Mathematics 15(6), 911.
Shi, P., Chen, L., Quinn, B.K., Yu, K., Miao, Q., Guo, X., Lian, M., Gielis, J., Niklas, K.J. (2023)
A simple way to calculate the volume and surface area of avian eggs.
Annals of the New York Academy of Sciences 1524, 118131. doi:10.1111/nyas.15000
See Also
Examples
Par7 <- c(1.124, 14.86, 49.43)
phi1 <- seq(0, pi, len=2000)
g1 <- DSGE(P=Par7, phi=phi1)
dev.new()
plot(phi1, g1, type="l", col=4, cex.lab=1.5, cex.axis=1.5,
xlab=expression(italic(varphi)),
ylab=expression(paste(italic(g), "(", italic(varphi), ")", sep="")))
graphics.off()