eq                   package:magic                   R Documentation

_C_o_m_p_a_r_i_s_o_n _o_f _t_w_o _m_a_g_i_c _s_q_u_a_r_e_s

_D_e_s_c_r_i_p_t_i_o_n:

     Compares two magic squares according to Frenicle's method. 
     Mnemonic is the old Fortran ``.GT."  (for ``Greater Than")
     comparison et seq.

     To compare magic square 'a' with magic square 'b', their elements
     are compared in rowwise order: 'a[1,1]' is compared with 'b[1,1]'
     , then 'a[1,2]' with 'b[1,2]', up to 'a[n,n]'.  Consider the first
     element that is different, say '[i,j]'.  Then 'a<b' if
     'a[i,j]<b[i,j]'.

     The generalization to hypercubes is straightforward: comparisons
     are carried out natural order.

_U_s_a_g_e:

     eq(m1, m2)
     ne(m1, m2)
     gt(m1, m2)
     lt(m1, m2)
     ge(m1, m2)
     le(m1, m2)
     m1 %eq% m2
     m1 %ne% m2
     m1 %gt% m2
     m1 %lt% m2
     m1 %ge% m2
     m1 %le% m2

_A_r_g_u_m_e_n_t_s:

      m1: First magic square

      m2: Second magic square

_N_o_t_e:

     Rather clumsy function definition due to the degenerate case of 
     testing two identical matrices ('min(NULL)' is undefined).

_A_u_t_h_o_r(_s):

     Robin K. S. Hankin

_S_e_e _A_l_s_o:

     'as.standard'

_E_x_a_m_p_l_e_s:

     magic(4) %eq% magic.4n(1)
     eq(magic(4) , magic.4n(1))

