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From YouTube: inverse-theory-part-4
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So,
let's
just
kind
of
look
at
all
right
so
so
far
we
can
tell
to
take
this
three
types
that
we
end
up
with.
Something
looks
like
this,
so
now
it's
just
the
value
squared
these
two
guys
are
all
u-turn
right.
His
birth,
we're
always
trying
to
represent
the
value
of
soft
integrals,
and
we
just
read
the
volumes
of
the
LP
so
having
this
squared
is
just
some
power
P.
A
A
A
C
A
You
with
the
minimum
support
universe,
number
nonzero
elements
that
could
give
a
solution,
so
that's
the
difference
in
character
and
they
in
their
small
small
component.
If
you
transfer
them
to
go
to
the
finest
smoothness
turf,
would
you
notice
for
P
is
equal
to
1?
You
have
only
a
few
places
that
are
nonzero,
it's
all
small.
So
now,
if
you
think
about
all
those
are
actively.
C
A
Means
there's
only
going
to
be
a
few
places
in
which
they're
gonna
change,
so
mana
will
be
much
more
blocky
and
for
P
is
equal
to
0
means
the
fuel
is
good.
A
few
is
covers
if
changes
are
going
to
be
changes
the
parent,
so
those
are
things
that
are
kind
of
important
and
you
can
see
why
they
might
be
useful.
I
must
admit
this
is
fun.
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D
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A
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B
A
C
C
A
A
Minus
1/2,
and
especially
if
you
get
right
to
the
epsilon
and
M
Squared
and
and
then
and
the
quantity,
all
just
thing
comes
back
doing
well.
So
this
is
the
way
about
representing
the
p-norm,
with
epsilon
being
a
small
perturbation,
and
so
that's
all
for
you,
small
number
actually
by
me
like
that
we
should
be,
is
and
the
non
trivial
thing
but
third
reason
of
doing.
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D
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C
A
C
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A
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B
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D
A
A
A
A
A
Then,
whatever
it
is,
this
is
a
like
a
surface
projection
of
the
and.
A
A
A
A
Trying
to
put
all
of
those
take,
take
as
nine
different
Wallis
and
basically
trying
to
put
them
all
together
and
get
licenses
that
are
connected
with
all
of
them,
and
you
get
something
that
looks
like
that.
So
that's
super
phones
on
the
gel
heaters.
There
was
no
acute
launch
of
information
there
and
look
at
the
lines
of
this.
You
see
how
the
arcs
are
coming
in
and
actually
is
coinciding
with.
A
A
C
A
If
you
don't
answer
smallest
component,
but
that
is
doing
it's
trying
to
give
you
a
solution.
That's
really
compact.
The
fewest
suffer
of
nonzero
elements,
so
it's
very
effective
in
trying
to
make
things
spark.
So,
if
yeah,
so
it
is
important
piece
to
have
in
puzzle,
and
you
have
to
make
sure
that
it
yeah
effectively
waited
to
do
that.
B
A
So
he
questioned
where
what
we
done
so
far
and
we're
going
to
go
so
I
think
the
method
ability
is
in
hair
right.
We
understand
whether
Stacy
the
inverse
problem
and
how
to
solve
it.
We
can
solve
nonlinear
problem
generally
rock
cities,
but
well
personalized
apostle
date,
but
most
of
our
connected
with
the
PD
could
also
be
the.
C
A
A
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A
C
A
C
A
B
A
We've
got
carbon
that
is
stable,
diamond
form.
You
know
at
other
kilometers,
yes,
and
if
you
can
get
erupt
instead
bring
that
to
the
really
quickly
then
the
carbon
will
stay
remain
stable
and
also
when
it
gets
surface
its
stable.
So
as
long
as
it
kind
of
instantaneously
Gobert
around
150
meters
or
kilometers
to
service
these
days,
and
then
these
are
the
ghosting
types.
So
you
got
maturity
and
the
culture
plates
and
the
caters
there's
different
kinds
of
timber
life,
but
anything
that
explodes
up.
C
A
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D
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B
A
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A
C
A
C
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A
A
System
of
equations-
and
then
it's
called
this
at
times
2,
so
we
get
assistance
with
that
matrix
B,
any
tricks
and
some
source,
and
the
other
thing
I
mention
earlier,
but
this
is
kind
of
lifted
by,
is
that
one
of
the
big
steps
in
be
able
to
solve
large
scale
problems
is
the
fact
that
we
can
factor
a
lot
of
these
matrices.
This
surprise
through
many
of
us,
you
know
like
30
years
ago.