Bernard Osgood Koopman (1900 -- August 18, 1981) was a French-born American mathematician, known for his work in ergodic theory, the foundations of probability, statistical theory and operations research. After living in France and Italy, the Koopmans immigrated to the United States in 1915. Koopman was a student of George David Birkhoff and his initial work concentrated on dynamical system s and mathematical physics.
Bernard Osgood Koopman (1900 -- August 18, 1981) was a French-born American mathematician, known for his work in ergodic theory, the foundations of probability, statistical theory and operations research.
nsubj
Number=Sing
Bernard
Bernard
PROPN
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flat
Number=Sing
Osgood
Osgood
PROPN
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flat
Number=Sing
Koopman
Koopman
PROPN
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punct
(
(
PUNCT
-LRB-
nmod:tmod
NumForm=Digit|NumType=Card
1900
1900
NUM
CD
punct
--
--
PUNCT
,
compound
Number=Sing
August
August
PROPN
NNP
nmod
NumForm=Digit|NumType=Card
18
18
NUM
CD
punct
,
,
PUNCT
,
nmod:tmod
NumForm=Digit|NumType=Card
1981
1981
NUM
CD
punct
)
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PUNCT
-RRB-
cop
Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin
be
was
AUX
VBD
det
Definite=Ind|PronType=Art
a
a
DET
DT
compound
Degree=Pos
French
French
ADJ
JJ
punct
-
-
PUNCT
HYPH
amod
Tense=Past|VerbForm=Part
bear
born
VERB
VBN
amod
Degree=Pos
American
American
ADJ
JJ
root
Number=Sing
mathematician
mathematician
NOUN
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punct
,
,
PUNCT
,
acl
Tense=Past|VerbForm=Part
know
known
VERB
VBN
case
for
for
ADP
IN
nmod:poss
Case=Gen|Gender=Masc|Number=Sing|Person=3|Poss=Yes|PronType=Prs
his
his
PRON
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obl
Number=Sing
work
work
NOUN
NN
case
in
in
ADP
IN
amod
Degree=Pos
ergodic
ergodic
ADJ
JJ
nmod
Number=Sing
theory
theory
NOUN
NN
punct
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,
PUNCT
,
det
Definite=Def|PronType=Art
the
the
DET
DT
conj
Number=Plur
foundation
foundations
NOUN
NNS
case
of
of
ADP
IN
nmod
Number=Sing
probability
probability
NOUN
NN
punct
,
,
PUNCT
,
amod
Degree=Pos
statistical
statistical
ADJ
JJ
conj
Number=Sing
theory
theory
NOUN
NN
cc
and
and
CCONJ
CC
conj
Number=Plur
operation
operations
NOUN
NNS
conj
Number=Sing
research
research
NOUN
NN
punct
.
.
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.
After living in France and Italy, the Koopmans immigrated to the United States in 1915.
mark
after
After
SCONJ
IN
advcl
VerbForm=Ger
live
living
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VBG
case
in
in
ADP
IN
obl
Number=Sing
France
France
PROPN
NNP
cc
and
and
CCONJ
CC
conj
Number=Sing
Italy
Italy
PROPN
NNP
punct
,
,
PUNCT
,
det
Definite=Def|PronType=Art
the
the
DET
DT
nsubj
Number=Sing
Koopmans
Koopmans
PROPN
NNP
root
Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin
immigrate
immigrated
VERB
VBD
case
to
to
ADP
IN
det
Definite=Def|PronType=Art
the
the
DET
DT
amod
Degree=Pos
United
United
ADJ
NNP
obl
Number=Plur
State
States
PROPN
NNPS
case
in
in
ADP
IN
obl
NumForm=Digit|NumType=Card
1915
1915
NUM
CD
punct
.
.
PUNCT
.
Koopman was a student of George David Birkhoff and his initial work concentrated on dynamical system s and mathematical physics.
nsubj
Number=Sing
Koopman
Koopman
PROPN
NNP
cop
Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin
be
was
AUX
VBD
det
Definite=Ind|PronType=Art
a
a
DET
DT
root
Number=Sing
student
student
NOUN
NN
case
of
of
ADP
IN
nmod
Number=Sing
George
George
PROPN
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flat
Number=Sing
David
David
PROPN
NNP
flat
Number=Sing
Birkhoff
Birkhoff
PROPN
NNP
cc
and
and
CCONJ
CC
nmod:poss
Case=Gen|Gender=Masc|Number=Sing|Person=3|Poss=Yes|PronType=Prs
his
his
PRON
PRP$
amod
Degree=Pos
initial
initial
ADJ
JJ
conj
Number=Sing
work
work
NOUN
NN
acl
Tense=Past|VerbForm=Part
concentrate
concentrated
VERB
VBN
case
on
on
ADP
IN
amod
Degree=Pos
dynamical
dynamical
ADJ
JJ
nmod:poss
Number=Sing
system
system
NOUN
NN
case
Typo=Yes
's
s
PART
POS
cc
and
and
CCONJ
CC
conj
Degree=Pos
mathematical
mathematical
ADJ
JJ
obl
Number=Sing
physics
physics
NOUN
NN
punct
.
.
PUNCT
.