MA / 07
, lecture 9-
•
set {×}
Member of the set {}
•
✗ C-
•
Properties of the set { ✗ I P }
•
Natural numbers N -
non -
zero
positive Integers
2
Integers
•
Real numbers IR
•
be
represented by divisions
-
can .
Empty set ∅ members
-
-
no
•
Non -
negative real numbers IRT
all
^
Subset ≤ members of another set
set in
-
n
one
Union U set of objects from both sets
•
-
all
•
Intersection n -
set of objects in both sets
'
Difference \ -
set of all objets in one at that are not in another set
Cartesian Product { lx y ) / C- S and
YET }
•
✗
,
R2 all
points
.
y plane
✗
-
on
'
IRT -
all
points in the non -
negative guard rent
f
-
Function f
is the output
✗ is the
input
lecture 2
.
Inverse function f- '
→ find
by reversing the equation .
→
only valid when the
output f- (x ) gives many inputs ×
↳ can he overcome
by restrictions / from Rt to Rt / from R -
to R -
}
↳ Rt =
{ ✗ c- IRI x ≥ o
} R -
=
{ EIR
✗ / ✗ to }
,
→
Equilibrium set Dns
lecture 3 -
Taxation
-
Excise Tax -
fixed amount of tax on each unit of good .
(T)
→
Effective Price =
p
-
T
→
g. {(p ) =
qslp - T )
→
consumer burden coefficient of T the
equilibrium price
=
in
Ad valorem Tax tax unit of good (r )
percentage
-
price each
.
on
-
.
Effective Price p/ )
→ = l -
r
?
q /p ) gs / p pr )
→
= -
Consumer Burden the
compare to change and tax amount
→
price
:
For taxation > 0
{T
-
any ,
Lecture 3 & 4- Recurrence Equation
"
for t ≥ 1 ""
ᵈʳᵈ
-
+ b
ye aye
-
=
-1 time solution
.
/
y -1=9*-1 ) at
y*=¥a
*
( where
'
yo y
-
7 .
If a > I t → 8
,
yt
*
solution ↑
if
boundlessly
→ → as >
yo g.
-
→
yt → 0 if <
y*
-
solution
yo
, lecture 9-
•
set {×}
Member of the set {}
•
✗ C-
•
Properties of the set { ✗ I P }
•
Natural numbers N -
non -
zero
positive Integers
2
Integers
•
Real numbers IR
•
be
represented by divisions
-
can .
Empty set ∅ members
-
-
no
•
Non -
negative real numbers IRT
all
^
Subset ≤ members of another set
set in
-
n
one
Union U set of objects from both sets
•
-
all
•
Intersection n -
set of objects in both sets
'
Difference \ -
set of all objets in one at that are not in another set
Cartesian Product { lx y ) / C- S and
YET }
•
✗
,
R2 all
points
.
y plane
✗
-
on
'
IRT -
all
points in the non -
negative guard rent
f
-
Function f
is the output
✗ is the
input
lecture 2
.
Inverse function f- '
→ find
by reversing the equation .
→
only valid when the
output f- (x ) gives many inputs ×
↳ can he overcome
by restrictions / from Rt to Rt / from R -
to R -
}
↳ Rt =
{ ✗ c- IRI x ≥ o
} R -
=
{ EIR
✗ / ✗ to }
,
→
Equilibrium set Dns
lecture 3 -
Taxation
-
Excise Tax -
fixed amount of tax on each unit of good .
(T)
→
Effective Price =
p
-
T
→
g. {(p ) =
qslp - T )
→
consumer burden coefficient of T the
equilibrium price
=
in
Ad valorem Tax tax unit of good (r )
percentage
-
price each
.
on
-
.
Effective Price p/ )
→ = l -
r
?
q /p ) gs / p pr )
→
= -
Consumer Burden the
compare to change and tax amount
→
price
:
For taxation > 0
{T
-
any ,
Lecture 3 & 4- Recurrence Equation
"
for t ≥ 1 ""
ᵈʳᵈ
-
+ b
ye aye
-
=
-1 time solution
.
/
y -1=9*-1 ) at
y*=¥a
*
( where
'
yo y
-
7 .
If a > I t → 8
,
yt
*
solution ↑
if
boundlessly
→ → as >
yo g.
-
→
yt → 0 if <
y*
-
solution
yo
