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'Et moi .... si j'avait su comment en revenir. One service mathema
tics has rendered the je n'y serais point aIle.' human race. It has
put common sense back Jules Verne where it belongs. on the topmost
shelf next to the dusty canister labelled 'discarded non- The
series is divergent; therefore we may be sense'. able to do
something with it Eric T. Bell O. Heaviside Mathematics is a tool
for thought. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d'etre of this series."
This book is devoted to a new branch of experimental design theory
called simulation experimental design. There are many books devoted
either to the theory of experimental design or to system simulation
techniques, but in this book an approach to combine both fields is
developed. Especially the mathematical theory of such universal
variance reduction techniques as splitting and Russian Roulette is
explored. The book contains a number of results on regression
design theory related to nonlinear problems, the E-optimum
criterion and designs which minimize bias. Audience: This volume
will be of value to readers interested in systems simulation,
applied statistics and numerical methods with basic knowledge of
applied statistics and linear algebra.
This book is devoted to a new branch of experimental design theory
called simulation experimental design. There are many books devoted
either to the theory of experimental design or to system simulation
techniques, but in this book an approach to combine both fields is
developed. Especially the mathematical theory of such universal
variance reduction techniques as splitting and Russian Roulette is
explored. The book contains a number of results on regression
design theory related to nonlinear problems, the E-optimum
criterion and designs which minimize bias. Audience: This volume
will be of value to readers interested in systems simulation,
applied statistics and numerical methods with basic knowledge of
applied statistics and linear algebra.
'Et moi .... si j'avait su comment en revenir. One service mathema
tics has rendered the je n'y serais point aIle.' human race. It has
put common sense back Jules Verne where it belongs. on the topmost
shelf next to the dusty canister labelled 'discarded non- The
series is divergent; therefore we may be sense'. able to do
something with it Eric T. Bell O. Heaviside Mathematics is a tool
for thought. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d'etre of this series."
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