View source: R/SurfaceAreaETE.R
SurfaceAreaETE | R Documentation |
SurfaceAreaETE
is used to calculate the surface area of an egg that follows the explicit Troscianko equation.
SurfaceAreaETE(P, subdivisions = 100L,
rel.tol = .Machine$double.eps^0.25, abs.tol = rel.tol,
stop.on.error = TRUE, keep.xy = FALSE, aux = NULL)
P |
the parameters of the explicit Troscianko equation. |
subdivisions |
please see the arguments for the |
rel.tol |
please see the arguments for the |
abs.tol |
please see the arguments for the |
stop.on.error |
please see the arguments for the |
keep.xy |
please see the arguments for the |
aux |
please see the arguments for the |
The formula of the surface area (S
) of an egg based on the explicit Troscianko equation is:
S(x)=2\,\pi\int_{-a}^{a}y\,\sqrt{1+\left(\frac{dy}{dx}\right)^2}\,dx,
where y
denotes the explicit Troscianko equation (i.e., ETE
), and
a
denotes half the egg's length.
The argument P
in the SurfaceAreaETE
function has the same parameters, as those in the
ETE
function.
Peijian Shi pjshi@njfu.edu.cn, Johan Gielis johan.gielis@uantwerpen.be, Brady K. Quinn Brady.Quinn@dfo-mpo.gc.ca.
Narushin, V.G., Romanov, M.N., Mishra, B., Griffin, D.K. (2022) Mathematical progression of
avian egg shape with associated area and volume determinations.
Annals of the New York Academy of Sciences 1513, 65-
78. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.14771")}
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, 118-
131. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.15000")}
DETE
, ETE
, fitETE
, VolumeETE
Par5 <- c(2.25, -0.38, -0.29, -0.16)
SurfaceAreaETE(P = Par5)
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