Hyperbolic               package:base               R Documentation

_H_y_p_e_r_b_o_l_i_c _F_u_n_c_t_i_o_n_s

_D_e_s_c_r_i_p_t_i_o_n:

     These functions give the obvious hyperbolic functions.  They
     respectively compute the hyperbolic cosine, sine, tangent, and
     their inverses, arc-cosine, arc-sine, arc-tangent (or '_area
     cosine_', etc).

_U_s_a_g_e:

     cosh(x)
     sinh(x)
     tanh(x)
     acosh(x)
     asinh(x)
     atanh(x)

_A_r_g_u_m_e_n_t_s:

       x: a numeric or complex vector

_D_e_t_a_i_l_s:

     These are generic functions: methods can be defined for them
     individually or via the 'Math' group generic.

     Branch cuts are consistent with the inverse trigonometric
     functions 'asin()' et seq, and agree with those defined in
     Abramowitz and Stegun, figure 4.7, page 86.

_S_4 _m_e_t_h_o_d_s:

     All are S4 generic functions: methods can be defined for them
     individually or via the 'Math' group generic.

_R_e_f_e_r_e_n_c_e_s:

     Abramowitz, M. and Stegun, I. A. (1972) _Handbook of Mathematical
     Functions._ New York: Dover.
      Chapter 4. Elementary Transcendental Functions: Logarithmic,
     Exponential, Circular and Hyperbolic Functions

_S_e_e _A_l_s_o:

     The trigonometric functions, 'cos', 'sin', 'tan', and their
     inverses 'acos', 'asin', 'atan'.

     The logistic distribution function 'plogis' is a shifted version
     of 'tanh()' for numeric 'x'.