top: THEORY
%----------------------------------------------------------------------------
%
% Vector Analysis Library
%
% Some people will wonder why we did not exploit the more general notion of
% continuity in the topology library. The main reason is that the vectors
% library would then have to import a huge number of theories.
%
% Rick Butler NASA Langley Research Center
% Anthony Narkawicz NASA Langley Research Center
% Cesar Munoz NASA Langley Research Center
%
%----------------------------------------------------------------------------
BEGIN
IMPORTING
% ----- generic theories ----------------------------------------------------
% limit_real_vect, % limit of functions over vectors
limit_vect_real,
limit_vect,
% cont_real_vect, % continuity of functions over vectors
% cont_vect_real,
cont_vect,
metric_vect,
deriv_sigma,
deriv_dot_prod,
deriv_real_vect,
deriv_real_vect2,
deriv_cont_2D,
vect_metric_space,
vect3_metric_space,
vect3_Heine,
% ----- specific theories ----------------------------------------------------
limit_real_vect2,
% limit_real_vect3,
limit_vect2_real,
limit_vect3_real,
limit_vect2_vect2,
cont_real_vect2,
% cont_real_vect3,
cont_vect2_real,
cont_vect3_real,
cont_vect2_vect2,
vect2_cont_comp,
vect2_cont_comp2, %% handles [T1 -> T2]
vect2_cont_dot,
vect_cont_2D,
vect_deriv_2D,
vect_chain_rule,
four_vects_2D_continuity,
vect2_metric_space,
vect2_Heine,
vect_vect_2D_continuity,
% ------- trig functions: continuity and derivatives (axiomatic versions of trig_fnd)
deriv_sincos_ax
END top
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