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Cauchy problem
noun
(mathematics,
mathematical
analysis)
For
a
given
m-order
partial
differential
equation,
the
problem
of
finding
a
solution
function
u
on
ℝⁿ
that
satisfies
the
boundary
conditions
that,
for
a
smooth
manifold
S⊂ℝⁿ,
u(x)=f_0(x)
and
(∂ᵏu(x))/(∂nᵏ)=f_k(x),
∀x∈S,
k=1…m-1,
given
specified
functions
f_k
defined
on,
and
vector
n
normal
to,
the
manifold.
Bolzano-Weierstrass property
name
proboscis monkey
noun
problem bear
process worker
noun
nonidentity problem
noun
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