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Gibbs
name
Gibb
name
Gibbs phenomenon
name
(mathematics)
A
behaviour
of
the
Fourier
series
approximation
at
a
jump
discontinuity
of
a
piecewise
continuously
differentiable
periodic
function,
such
that
partial
sums
exhibit
an
oscillation
peak
adjacent
the
discontinuity
that
may
overshoot
the
function
maximum
(or
minimum)
itself
and
does
not
disappear
as
more
terms
are
calculated,
but
rather
approaches
a
finite
limit.
Gibbs sampling
noun
Gibbs measure
noun
Gibbs state
noun
Gibbs algorithm
name
(statistical
mechanics)
A
criterion
for
choosing
a
probability
distribution
for
the
statistical
ensemble
of
microstates
of
a
thermodynamic
system
by
minimizing
the
average
log
probability
⟨
ln
p_i⟩=∑ᵢp_i
ln
p_i,,
subject
to
the
probability
distribution
pᵢ
satisfying
a
set
of
constraints
(usually
expectation
values)
corresponding
to
the
known
macroscopic
quantities.
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