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This book summarizes a five year research project, as well as
subsequent results regarding high power diode laser systems and
their application in materials processing. The text explores the
entire chain of technology, from the semiconductor technology,
through cooling mounting and assembly, beam shaping and system
technology, to applications in the processing of such materials as
metals and polymers. Includes theoretical models, a range of
important parameters and practical tips.
This book summarizes a five year research project, as well as
subsequent results regarding high power diode laser systems and
their application in materials processing. The text explores the
entire chain of technology, from the semiconductor technology,
through cooling mounting and assembly, beam shaping and system
technology, to applications in the processing of such materials as
metals and polymers. Includes theoretical models, a range of
important parameters and practical tips.
torischen Gruppenelemente sind und in den en wir geometrische
Bezie- hungen wie Inzidenz undOrthogonalitat durch
gruppentheoretische Rela- tionen erklaren. Die rein
gruppentheoretisch formulierten Axiome, die wir wahlen, stellen
einfache geometrische Aussagen flir die Punkte und Geraden der
metrischen Ebenen dar. Dementsprechend kann man beim Beweisen aus
den Axiomen die Vorteile des gruppentheoretischen Kalktils
ausnutzen, ohne den Leitfaden der Anschauung aus der Hand zu geben.
Bemerkenswert ist, wie wenige Axiome notig sind. Die metrischen
Ebenen, die mit den axiomatisch gegebenen Gruppen definiert sind,
sind daher von recht allgemeiner Natur. Eine metrische Ebene
braucht nicht anordenbar (erst recht nicht stetig) zu sein. In
einer metrischen Ebene braucht nicht freie Beweglichkeit zu
bestehen. Es gibt auch metrische Ebenen mit nur endlich vielen
Punkten und Geraden. Der Begriff der metrischen Ebene enthalt keine
Entscheidung tiber die Parallelenfrage, d.h. tiber die Frage nach
dem Schneiden oder Nicht- schneiden der Geraden. Die ebene
metrische Geometrie, die wir ent- wickeln, enthalt ebene
euklidische, hyperbolische und elliptische Geo- metrie als
Spezialfalle, und wird daher, mit einem Ausdruck von J. BOLYAI,
auch ebene absolute Geometrie genannt.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Hegel: Sendschreiben An Den Hofrath Und Professor Der
Philosophie, Herrn Dr. Carl Friedrich Bachmann In Jena Karl
Rosenkranz, Carl Friedrich Bachmann Unzer, 1834
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Ueber Die Philosophie Meiner Zeit. Zur Vermittlung Carl
Friedrich Bachmann Cr�ker, 1816
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Lieder-Anhang Zum Handbuchlein Fur Confirmanden Johann
Friedrich Bachmann Schultze, 1860
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Handbuch Der Christlichen Lehre Fur Confirmanden Und
Confirmirte: Auf Grundlage Des Kleinen Catechismus H.Luthers
Bearbeitet Von J. F. Bachmann 2 Johann Friedrich Bachmann Wilhelm
Schultze, 1859 Religion; Christianity; Lutheran; Religion /
Christianity / Lutheran
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n-gons (Paperback)
Friedrich Bachmann, Eckart Schmidt; Translated by Cyril Garner
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R954
Discovery Miles 9 540
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Ships in 10 - 15 working days
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This book, a translation of the German volume n-Ecke, presents an
elegant geometric theory which, starting from quite elementary
geometrical observations, exhibits an interesting connection
between geometry and fundamental ideas of modern algebra in a form
that is easily accessible to the student who lacks a sophisticated
background in mathematics. It stimulates geometrical thought by
applying the tools of linear algebra and the algebra of polynomials
to a concrete geometrical situation to reveal some rather
surprising insights into the geometry of n-gons. The twelve
chapters treat n-gons, classes of n-gons, and mapping of the set of
n-gons into itself. Exercises are included throughout, and two
appendixes, by Henner Kinder and Eckart Schmidt, provide background
material on lattices and cyclotomic polynomials. (Mathematical
Expositions No. 18)
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Ueber Die Philosophie Meiner Zeit: Zur Vermittlung Carl
Friedrich Bachmann Cr�ker, 1816 Philosophy; History & Surveys;
Modern; Philosophy / History & Surveys / Modern
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Zur Geschichte Der Berliner Gesangbucher: Ein Hymnolog. Beitr
Johann Friedrich Bachmann Schultze, 1856 Music; Religious; Hymns;
Language Arts & Disciplines / Publishing; Music / Religious /
Hymns
This scarce antiquarian book is a facsimile reprint of the
original. Due to its age, it may contain imperfections such as
marks, notations, marginalia and flawed pages. Because we believe
this work is culturally important, we have made it available as
part of our commitment for protecting, preserving, and promoting
the world's literature in affordable, high quality, modern editions
that are true to the original work.
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