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Title
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Letter to R. Frisch
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Date
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1950
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Date in document
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yes
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Formulas or calculations
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no
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Inventory number
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NL-RtEUR_TBCOR01_013F020
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3104
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Storage location
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Specifiek Magazijn
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Filename
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CDM3104_NL-RtEUR_TBCOR01_013F020.pdf
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Provenance
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Jan Tinbergen
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Accrual Method
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donation
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Revised transcript
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en
74 Directie/T March 27 50
T/Vos
Professor Ragnar Frisch,
Karl Johangt 47,
Oslo
My dear Frisch,
I am preparing various topics for personal discussions with your collaborators and yourself, one of them being the equation of a number of degrees of freedom in decision models. I did not yet quite understand what you said about it in your last stenciled memorandum on the subject, but I venture to suggest as a alternative the following set of definitions:
Knowns U n k n o w n s
Degrees of freedom To be calculated
Data d . . d
Political parameters p_o p_1 p_2 p
Economic variables v_o v_1 v_2 v
k f u q
= e
q represents the total number of quantities in your equations;
e represents the number of equations which must be equal to the number of unknowns you are able to calculate;
k represents the total number of quantities you suppose known beforehand (by the nature of the problem you set)
f is the number of degrees of freedom i.e. the number of political parameters and economic variables you must choose in order to make the problem determinate for the number of maximum conditions you have to introduce for the same purpose.
2.
Please, don't answer me by letter. I send you this note as a basis for discussion. We should, I think, carefully scrutinize to what of my terms your definitions correspond and vice versa.
Yours as ever,
-
extracted text
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
-
7h
Directie/T
T/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt lf7,
Oslo
My dear Frisch,
mru^^''^
?ouf ?s?ri?j^nnr^^s^sS? 'ZTT.^
d e ' e 1 f l o r 3 ? f T ^ \ S t n : ? °^?«^-es^°S?^?r'^^doTin°' '"^^
about i t i^ you; l a s t s?encl!ed'^^'^ understand what you said
but I venture ?o suggelt as a fl^JJnJ^^f ^ V f"^ subject,
of definitions: ^^^®^^ ^^ ^ alternative the following set
Knowns
Data
Political
parameters
Economic
variables
m
d
Ü
n
k
n
n
Degrees of freedom
To be calculated
•
•
Po
V
d
D
0
^1
k
f
if
^2
v
U
q
= e
represents the total number of nn^ni-44-,-«„ 4
X xiumoer oi quantities in your equations;
e.
represents the number a? «nnQ-n«K,« u* T. >**^^
number Of unkSoSfyou ara^bïfto^'^caLSte^ ''"'' '° *^^
represents the total number of auantlt?i« iS, '
f . ^?J°^ehand (by the nature of th^lroblem'^ïou se?)'' ^ ° ^
is the number of deg^ités of freednn i f ?>,!
v ^ ^
parameters and ec?non!c variables lol'J^^l
T^^"" f Political
to make the nroblem deterninatP l o f ?>,« ^ ? ° ° ^ ! ^^ °^^"^
conditions you have ï f ?nSSd\V?o^r'?L^\^^%SrpSse:-^^^
7^
Directie/T
ï/Vos
March 27
50
Professor Ragnar Frisch,
Karl Johangt. ^7,
Oslo
My dear Frisch,
r ara preparing various topics for personal dis
# >
^i;^it,
2.
P l e a s e , d o n ' t ansrrer --e by l e t t e r . I send you t h i s note
as a basis for dlscuspion. V/e should, I thiiik, c a r e f u l l y scruti'^
to viiiat of my terms your d e f i n i t i o n s coi*Éi«l^önd and Ajice versa.
Yours as ever,
