<s>
In	O
the	O
theory	O
of	O
general	O
relativity	O
,	O
and	O
differential	B-Language
geometry	I-Language
more	O
generally	O
,	O
Schild	B-Algorithm
's	I-Algorithm
ladder	I-Algorithm
is	O
a	O
first-order	B-Algorithm
method	O
for	O
approximating	O
parallel	O
transport	O
of	O
a	O
vector	O
along	O
a	O
curve	O
using	O
only	O
affinely	O
parametrized	O
geodesics	O
.	O
</s>
<s>
Formally	O
,	O
consider	O
a	O
curve	O
through	O
a	O
point	O
A0	O
in	O
a	O
Riemannian	B-Architecture
manifold	I-Architecture
M	O
,	O
and	O
let	O
x	O
be	O
a	O
tangent	O
vector	O
at	O
A0	O
.	O
</s>
<s>
The	O
steps	O
of	O
the	O
Schild	B-Algorithm
's	I-Algorithm
ladder	I-Algorithm
construction	O
are	O
:	O
</s>
