---
_id: '34888'
abstract:
- lang: eng
  text: We call a positive square-free integer d special, if d is not divisible by
    primes congruent to 3 mod 4. We show that the period of the expansion of in continued
    fractions is asymptotically more often odd than even, when we restrict to special
    integers. We note that this period is always even for a non-special square-free
    integer d. It is well known that the above period is odd if and only if the negative
    Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only
    if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work
    we fully described the asymptotics of the 4-ranks of those class groups. Here
    we get the first non-trivial results about the asymptotic behavior of the 8-rank
    of the narrow class group. For example, we show that more than 76% of the quadratic
    fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow
    class group is zero.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. The parity of the period of the continued fraction of
    d. <i>Proceedings of the London Mathematical Society</i>. 2010;101(2):337-391.
    doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). The parity of the period of the continued
    fraction of d. <i>Proceedings of the London Mathematical Society</i>, <i>101</i>(2),
    337–391. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={The parity of the period of the continued
    fraction of d}, volume={101}, DOI={<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>},
    number={2}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={337–391} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the
    Continued Fraction of d.” <i>Proceedings of the London Mathematical Society</i>
    101, no. 2 (2010): 337–91. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>.'
  ieee: 'É. Fouvry and J. Klüners, “The parity of the period of the continued fraction
    of d,” <i>Proceedings of the London Mathematical Society</i>, vol. 101, no. 2,
    pp. 337–391, 2010, doi: <a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued
    Fraction of d.” <i>Proceedings of the London Mathematical Society</i>, vol. 101,
    no. 2, Wiley, 2010, pp. 337–91, doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.
  short: É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101
    (2010) 337–391.
date_created: 2022-12-23T09:22:49Z
date_updated: 2023-03-06T10:16:54Z
department:
- _id: '102'
doi: 10.1112/plms/pdp057
intvolume: '       101'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 337-391
publication: Proceedings of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6115
publication_status: published
publisher: Wiley
related_material:
  link:
  - relation: confirmation
    url: https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=fc7ab412993fd2bf0069de42fbef1ecc69137755
status: public
title: The parity of the period of the continued fraction of d
type: journal_article
user_id: '93826'
volume: 101
year: '2010'
...
---
_id: '34887'
abstract:
- lang: eng
  text: 'Let d be a nonsquare positive integer. We give the value of the natural probability
    that the narrow ideal class groups of the quadratic fields ℚ(√d) and ℚ(√−d) have
    the same 4-ranks. '
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the Spiegelungssatz for the 4-rank. <i>Algebra &#38;amp;
    Number Theory</i>. 2010;4(5):493-508. doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the Spiegelungssatz for the 4-rank.
    <i>Algebra &#38;amp; Number Theory</i>, <i>4</i>(5), 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the Spiegelungssatz for the 4-rank},
    volume={4}, DOI={<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>},
    number={5}, journal={Algebra &#38;amp; Number Theory}, publisher={Mathematical
    Sciences Publishers}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010},
    pages={493–508} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i> 4, no. 5 (2010): 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” <i>Algebra
    &#38;amp; Number Theory</i>, vol. 4, no. 5, pp. 493–508, 2010, doi: <a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i>, vol. 4, no. 5, Mathematical Sciences Publishers,
    2010, pp. 493–508, doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.
  short: É. Fouvry, J. Klüners, Algebra &#38;amp; Number Theory 4 (2010) 493–508.
date_created: 2022-12-23T09:10:12Z
date_updated: 2023-03-06T10:18:14Z
department:
- _id: '102'
doi: 10.2140/ant.2010.4.493
intvolume: '         4'
issue: '5'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 493-508
publication: Algebra &amp; Number Theory
publication_identifier:
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
status: public
title: On the Spiegelungssatz for the 4-rank
type: journal_article
user_id: '93826'
volume: 4
year: '2010'
...
---
_id: '42803'
abstract:
- lang: eng
  text: We provide algorithms to count and enumerate representatives of the (right)
    ideal classes of an Eichler order in a quaternion algebra defined over a number
    field. We analyze the run time of these algorithms and consider several related
    problems, including the computation of two-sided ideal classes, isomorphism classes
    of orders, connecting ideals for orders, and ideal principalization. We conclude
    by giving the complete list of definite Eichler orders with class number at most
    2.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: John
  full_name: Voight, John
  last_name: Voight
citation:
  ama: Kirschmer M, Voight J. Algorithmic Enumeration of Ideal Classes for Quaternion
    Orders. <i>SIAM Journal on Computing</i>. 2010;39(5):1714-1747. doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>
  apa: Kirschmer, M., &#38; Voight, J. (2010). Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders. <i>SIAM Journal on Computing</i>, <i>39</i>(5), 1714–1747.
    <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>
  bibtex: '@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders}, volume={39}, DOI={<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>},
    number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John},
    year={2010}, pages={1714–1747} }'
  chicago: 'Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders.” <i>SIAM Journal on Computing</i> 39, no. 5 (2010):
    1714–47. <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>.'
  ieee: 'M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for
    Quaternion Orders,” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, pp. 1714–1747,
    2010, doi: <a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.'
  mla: Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders.” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, Society
    for Industrial &#38; Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.
  short: M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
date_created: 2023-03-07T08:49:35Z
date_updated: 2023-04-04T09:25:08Z
department:
- _id: '102'
doi: 10.1137/080734467
extern: '1'
intvolume: '        39'
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
page: 1714-1747
publication: SIAM Journal on Computing
publication_identifier:
  issn:
  - 0097-5397
  - 1095-7111
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
type: journal_article
user_id: '93826'
volume: 39
year: '2010'
...
---
_id: '56922'
author:
- first_name: Carmen
  full_name: Maxara, Carmen
  last_name: Maxara
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Maxara C, Biehler R. Students’ understanding and reasoning about sample size
    and the law of large numbers after a computer-intensive introductory course on
    stochastics. In: Reading C, ed. <i>Data and Context in Statistics Education: Towards
    an Evidence-Based Society. Proceedings of the Eighth International Conference
    on Teaching Statistics</i>. IASE; 2010:1–6.'
  apa: 'Maxara, C., &#38; Biehler, R. (2010). Students’ understanding and reasoning
    about sample size and the law of large numbers after a computer-intensive introductory
    course on stochastics. In C. Reading (Ed.), <i>Data and context in statistics
    education: Towards an evidence-based society. Proceedings of the Eighth International
    Conference on Teaching Statistics</i> (pp. 1–6). IASE.'
  bibtex: '@inproceedings{Maxara_Biehler_2010, place={Voorburg, The Netherlands},
    title={Students’ understanding and reasoning about sample size and the law of
    large numbers after a computer-intensive introductory course on stochastics},
    booktitle={Data and context in statistics education: Towards an evidence-based
    society. Proceedings of the Eighth International Conference on Teaching Statistics},
    publisher={IASE}, author={Maxara, Carmen and Biehler, Rolf}, editor={Reading,
    C.}, year={2010}, pages={1–6} }'
  chicago: 'Maxara, Carmen, and Rolf Biehler. “Students’ Understanding and Reasoning
    about Sample Size and the Law of Large Numbers after a Computer-Intensive Introductory
    Course on Stochastics.” In <i>Data and Context in Statistics Education: Towards
    an Evidence-Based Society. Proceedings of the Eighth International Conference
    on Teaching Statistics</i>, edited by C. Reading, 1–6. Voorburg, The Netherlands:
    IASE, 2010.'
  ieee: 'C. Maxara and R. Biehler, “Students’ understanding and reasoning about sample
    size and the law of large numbers after a computer-intensive introductory course
    on stochastics,” in <i>Data and context in statistics education: Towards an evidence-based
    society. Proceedings of the Eighth International Conference on Teaching Statistics</i>,
    2010, pp. 1–6.'
  mla: 'Maxara, Carmen, and Rolf Biehler. “Students’ Understanding and Reasoning about
    Sample Size and the Law of Large Numbers after a Computer-Intensive Introductory
    Course on Stochastics.” <i>Data and Context in Statistics Education: Towards an
    Evidence-Based Society. Proceedings of the Eighth International Conference on
    Teaching Statistics</i>, edited by C. Reading, IASE, 2010, pp. 1–6.'
  short: 'C. Maxara, R. Biehler, in: C. Reading (Ed.), Data and Context in Statistics
    Education: Towards an Evidence-Based Society. Proceedings of the Eighth International
    Conference on Teaching Statistics, IASE, Voorburg, The Netherlands, 2010, pp.
    1–6.'
date_created: 2024-11-06T11:13:02Z
date_updated: 2024-11-06T11:14:17Z
department:
- _id: '363'
editor:
- first_name: C.
  full_name: Reading, C.
  last_name: Reading
language:
- iso: eng
main_file_link:
- url: http://icots.info/icots/8/cd/pdfs/invited/ICOTS8_3C2_MAXARA.pdf
page: 1–6
place: Voorburg, The Netherlands
publication: 'Data and context in statistics education: Towards an evidence-based
  society. Proceedings of the Eighth International Conference on Teaching Statistics'
publisher: IASE
status: public
title: Students’ understanding and reasoning about sample size and the law of large
  numbers after a computer-intensive introductory course on stochastics
type: conference
user_id: '37888'
year: '2010'
...
---
_id: '56920'
author:
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
- first_name: Rolf
  full_name: Biehler, Rolf
  last_name: Biehler
citation:
  ama: 'Wassong T, Biehler R. A model for teacher knowledge as a basis for online
    courses for professional development of statistics teachers. In: Reading C, ed.
    <i>Data and Context in Statistics Education: Towards an Evidence-Based Society.
    Proceedings of the Eighth International Conference on Teaching of Statistics</i>.
    IASE; 2010:41–46.'
  apa: 'Wassong, T., &#38; Biehler, R. (2010). A model for teacher knowledge as a
    basis for online courses for professional development of statistics teachers.
    In C. Reading (Ed.), <i>Data and context in statistics education: Towards an evidence-based
    society. Proceedings of the Eighth International Conference on Teaching of Statistics</i>
    (pp. 41–46). IASE.'
  bibtex: '@inproceedings{Wassong_Biehler_2010, place={Voorburg, The Netherlands},
    title={A model for teacher knowledge as a basis for online courses for professional
    development of statistics teachers}, booktitle={Data and context in statistics
    education: Towards an evidence-based society. Proceedings of the Eighth International
    Conference on Teaching of Statistics}, publisher={IASE}, author={Wassong, Thomas
    and Biehler, Rolf}, editor={Reading, C.}, year={2010}, pages={41–46} }'
  chicago: 'Wassong, Thomas, and Rolf Biehler. “A Model for Teacher Knowledge as a
    Basis for Online Courses for Professional Development of Statistics Teachers.”
    In <i>Data and Context in Statistics Education: Towards an Evidence-Based Society.
    Proceedings of the Eighth International Conference on Teaching of Statistics</i>,
    edited by C. Reading, 41–46. Voorburg, The Netherlands: IASE, 2010.'
  ieee: 'T. Wassong and R. Biehler, “A model for teacher knowledge as a basis for
    online courses for professional development of statistics teachers,” in <i>Data
    and context in statistics education: Towards an evidence-based society. Proceedings
    of the Eighth International Conference on Teaching of Statistics</i>, 2010, pp.
    41–46.'
  mla: 'Wassong, Thomas, and Rolf Biehler. “A Model for Teacher Knowledge as a Basis
    for Online Courses for Professional Development of Statistics Teachers.” <i>Data
    and Context in Statistics Education: Towards an Evidence-Based Society. Proceedings
    of the Eighth International Conference on Teaching of Statistics</i>, edited by
    C. Reading, IASE, 2010, pp. 41–46.'
  short: 'T. Wassong, R. Biehler, in: C. Reading (Ed.), Data and Context in Statistics
    Education: Towards an Evidence-Based Society. Proceedings of the Eighth International
    Conference on Teaching of Statistics, IASE, Voorburg, The Netherlands, 2010, pp.
    41–46.'
date_created: 2024-11-06T11:07:27Z
date_updated: 2024-11-06T11:10:22Z
department:
- _id: '363'
editor:
- first_name: C.
  full_name: Reading, C.
  last_name: Reading
language:
- iso: eng
main_file_link:
- url: https://icots.info/icots/8/cd/pdfs/invited/ICOTS8_3C1_WASSONG.pdf
page: 41–46
place: Voorburg, The Netherlands
publication: 'Data and context in statistics education: Towards an evidence-based
  society. Proceedings of the Eighth International Conference on Teaching of Statistics'
publisher: IASE
status: public
title: A model for teacher knowledge as a basis for online courses for professional
  development of statistics teachers
type: conference
user_id: '37888'
year: '2010'
...
---
_id: '56921'
author:
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Wassong T, Biehler R. Statistik online lernen - Ein Modell für Lehrerkompetenz
    als Basis einer Online-Lehrerfortbildung für Statistik in der Sekundarstufe I.
    In: Lindmeier A, Ufer St, eds. <i>Beiträge zum Mathematikunterricht 2010</i>.
    WTM-Verlag; 2010:915-918.'
  apa: Wassong, T., &#38; Biehler, R. (2010). Statistik online lernen - Ein Modell
    für Lehrerkompetenz als Basis einer Online-Lehrerfortbildung für Statistik in
    der Sekundarstufe I. In A. Lindmeier &#38; St. Ufer (Eds.), <i>Beiträge zum Mathematikunterricht
    2010</i> (pp. 915–918). WTM-Verlag.
  bibtex: '@inbook{Wassong_Biehler_2010, place={Münster}, title={Statistik online
    lernen - Ein Modell für Lehrerkompetenz als Basis einer Online-Lehrerfortbildung
    für Statistik in der Sekundarstufe I}, booktitle={Beiträge zum Mathematikunterricht
    2010}, publisher={WTM-Verlag}, author={Wassong, Thomas and Biehler, Rolf}, editor={Lindmeier,
    A. and Ufer, St.}, year={2010}, pages={915–918} }'
  chicago: 'Wassong, Thomas, and Rolf Biehler. “Statistik online lernen - Ein Modell
    für Lehrerkompetenz als Basis einer Online-Lehrerfortbildung für Statistik in
    der Sekundarstufe I.” In <i>Beiträge zum Mathematikunterricht 2010</i>, edited
    by A. Lindmeier and St. Ufer, 915–18. Münster: WTM-Verlag, 2010.'
  ieee: 'T. Wassong and R. Biehler, “Statistik online lernen - Ein Modell für Lehrerkompetenz
    als Basis einer Online-Lehrerfortbildung für Statistik in der Sekundarstufe I,”
    in <i>Beiträge zum Mathematikunterricht 2010</i>, A. Lindmeier and St. Ufer, Eds.
    Münster: WTM-Verlag, 2010, pp. 915–918.'
  mla: Wassong, Thomas, and Rolf Biehler. “Statistik online lernen - Ein Modell für
    Lehrerkompetenz als Basis einer Online-Lehrerfortbildung für Statistik in der
    Sekundarstufe I.” <i>Beiträge zum Mathematikunterricht 2010</i>, edited by A.
    Lindmeier and St. Ufer, WTM-Verlag, 2010, pp. 915–18.
  short: 'T. Wassong, R. Biehler, in: A. Lindmeier, St. Ufer (Eds.), Beiträge zum
    Mathematikunterricht 2010, WTM-Verlag, Münster, 2010, pp. 915–918.'
date_created: 2024-11-06T11:12:50Z
date_updated: 2024-11-06T11:12:54Z
department:
- _id: '363'
editor:
- first_name: A.
  full_name: Lindmeier, A.
  last_name: Lindmeier
- first_name: St.
  full_name: Ufer, St.
  last_name: Ufer
language:
- iso: ger
page: 915-918
place: Münster
publication: Beiträge zum Mathematikunterricht 2010
publisher: WTM-Verlag
status: public
title: Statistik online lernen - Ein Modell für Lehrerkompetenz als Basis einer Online-Lehrerfortbildung
  für Statistik in der Sekundarstufe I
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '56968'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Andrea
  full_name: Peter-Koop, Andrea
  last_name: Peter-Koop
- first_name: Rudolf
  full_name: Sträßer, Rudolf
  last_name: Sträßer
- first_name: Hans-Georg
  full_name: Weigand, Hans-Georg
  last_name: Weigand
citation:
  ama: Biehler R, Peter-Koop A, Sträßer R, Weigand H-G. JMD ab 2010 bei Springer.
    <i>Journal für Mathematik-Didaktik</i>. 2010;31(1):1-3. doi:<a href="https://doi.org/10.1007/s13138-010-0002-2">10.1007/s13138-010-0002-2</a>
  apa: Biehler, R., Peter-Koop, A., Sträßer, R., &#38; Weigand, H.-G. (2010). JMD
    ab 2010 bei Springer. <i>Journal für Mathematik-Didaktik</i>, <i>31</i>(1), 1–3.
    <a href="https://doi.org/10.1007/s13138-010-0002-2">https://doi.org/10.1007/s13138-010-0002-2</a>
  bibtex: '@article{Biehler_Peter-Koop_Sträßer_Weigand_2010, title={JMD ab 2010 bei
    Springer}, volume={31}, DOI={<a href="https://doi.org/10.1007/s13138-010-0002-2">10.1007/s13138-010-0002-2</a>},
    number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
    and Business Media LLC}, author={Biehler, Rolf and Peter-Koop, Andrea and Sträßer,
    Rudolf and Weigand, Hans-Georg}, year={2010}, pages={1–3} }'
  chicago: 'Biehler, Rolf, Andrea Peter-Koop, Rudolf Sträßer, and Hans-Georg Weigand.
    “JMD ab 2010 bei Springer.” <i>Journal für Mathematik-Didaktik</i> 31, no. 1 (2010):
    1–3. <a href="https://doi.org/10.1007/s13138-010-0002-2">https://doi.org/10.1007/s13138-010-0002-2</a>.'
  ieee: 'R. Biehler, A. Peter-Koop, R. Sträßer, and H.-G. Weigand, “JMD ab 2010 bei
    Springer,” <i>Journal für Mathematik-Didaktik</i>, vol. 31, no. 1, pp. 1–3, 2010,
    doi: <a href="https://doi.org/10.1007/s13138-010-0002-2">10.1007/s13138-010-0002-2</a>.'
  mla: Biehler, Rolf, et al. “JMD ab 2010 bei Springer.” <i>Journal für Mathematik-Didaktik</i>,
    vol. 31, no. 1, Springer Science and Business Media LLC, 2010, pp. 1–3, doi:<a
    href="https://doi.org/10.1007/s13138-010-0002-2">10.1007/s13138-010-0002-2</a>.
  short: R. Biehler, A. Peter-Koop, R. Sträßer, H.-G. Weigand, Journal für Mathematik-Didaktik
    31 (2010) 1–3.
date_created: 2024-11-11T11:04:53Z
date_updated: 2024-11-11T11:05:36Z
department:
- _id: '363'
doi: 10.1007/s13138-010-0002-2
intvolume: '        31'
issue: '1'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s13138-010-0002-2
page: 1-3
publication: Journal für Mathematik-Didaktik
publication_identifier:
  issn:
  - 0173-5322
  - 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: JMD ab 2010 bei Springer
type: journal_article
user_id: '37888'
volume: 31
year: '2010'
...
---
_id: '56969'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Dominik
  full_name: Leiss, Dominik
  last_name: Leiss
citation:
  ama: Biehler R, Leiss D. Empirical Research on Mathematical Modelling. <i>Journal
    für Mathematik-Didaktik</i>. 2010;31(1):5-8. doi:<a href="https://doi.org/10.1007/s13138-010-0004-0">10.1007/s13138-010-0004-0</a>
  apa: Biehler, R., &#38; Leiss, D. (2010). Empirical Research on Mathematical Modelling.
    <i>Journal Für Mathematik-Didaktik</i>, <i>31</i>(1), 5–8. <a href="https://doi.org/10.1007/s13138-010-0004-0">https://doi.org/10.1007/s13138-010-0004-0</a>
  bibtex: '@article{Biehler_Leiss_2010, title={Empirical Research on Mathematical
    Modelling}, volume={31}, DOI={<a href="https://doi.org/10.1007/s13138-010-0004-0">10.1007/s13138-010-0004-0</a>},
    number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
    and Business Media LLC}, author={Biehler, Rolf and Leiss, Dominik}, year={2010},
    pages={5–8} }'
  chicago: 'Biehler, Rolf, and Dominik Leiss. “Empirical Research on Mathematical
    Modelling.” <i>Journal Für Mathematik-Didaktik</i> 31, no. 1 (2010): 5–8. <a href="https://doi.org/10.1007/s13138-010-0004-0">https://doi.org/10.1007/s13138-010-0004-0</a>.'
  ieee: 'R. Biehler and D. Leiss, “Empirical Research on Mathematical Modelling,”
    <i>Journal für Mathematik-Didaktik</i>, vol. 31, no. 1, pp. 5–8, 2010, doi: <a
    href="https://doi.org/10.1007/s13138-010-0004-0">10.1007/s13138-010-0004-0</a>.'
  mla: Biehler, Rolf, and Dominik Leiss. “Empirical Research on Mathematical Modelling.”
    <i>Journal Für Mathematik-Didaktik</i>, vol. 31, no. 1, Springer Science and Business
    Media LLC, 2010, pp. 5–8, doi:<a href="https://doi.org/10.1007/s13138-010-0004-0">10.1007/s13138-010-0004-0</a>.
  short: R. Biehler, D. Leiss, Journal Für Mathematik-Didaktik 31 (2010) 5–8.
date_created: 2024-11-11T11:06:16Z
date_updated: 2024-11-11T11:06:58Z
department:
- _id: '363'
doi: 10.1007/s13138-010-0004-0
intvolume: '        31'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/s13138-010-0004-0
page: 5-8
publication: Journal für Mathematik-Didaktik
publication_identifier:
  issn:
  - 0173-5322
  - 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Empirical Research on Mathematical Modelling
type: journal_article
user_id: '37888'
volume: 31
year: '2010'
...
---
_id: '56965'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Andreas
  full_name: Prömmel, Andreas
  last_name: Prömmel
citation:
  ama: 'Biehler R, Prömmel A. Developing students’ computer-supported simulation and
    modelling competencies by means of carefully designed working environments. In:
    Reading C, ed. <i>Proceedings of ICoTS 8, Ljubljana, July 2010</i>. IASE; 2010.'
  apa: Biehler, R., &#38; Prömmel, A. (2010). Developing students’ computer-supported
    simulation and modelling competencies by means of carefully designed working environments.
    In C. Reading (Ed.), <i>Proceedings of ICoTS 8, Ljubljana, July 2010</i>. IASE.
  bibtex: '@inbook{Biehler_Prömmel_2010, place={Voorburg, The Netherlands}, title={Developing
    students’ computer-supported simulation and modelling competencies by means of
    carefully designed working environments}, booktitle={Proceedings of ICoTS 8, Ljubljana,
    July 2010}, publisher={IASE}, author={Biehler, Rolf and Prömmel, Andreas}, editor={Reading,
    C.}, year={2010} }'
  chicago: 'Biehler, Rolf, and Andreas Prömmel. “Developing Students’ Computer-Supported
    Simulation and Modelling Competencies by Means of Carefully Designed Working Environments.”
    In <i>Proceedings of ICoTS 8, Ljubljana, July 2010</i>, edited by C. Reading.
    Voorburg, The Netherlands: IASE, 2010.'
  ieee: 'R. Biehler and A. Prömmel, “Developing students’ computer-supported simulation
    and modelling competencies by means of carefully designed working environments,”
    in <i>Proceedings of ICoTS 8, Ljubljana, July 2010</i>, C. Reading, Ed. Voorburg,
    The Netherlands: IASE, 2010.'
  mla: Biehler, Rolf, and Andreas Prömmel. “Developing Students’ Computer-Supported
    Simulation and Modelling Competencies by Means of Carefully Designed Working Environments.”
    <i>Proceedings of ICoTS 8, Ljubljana, July 2010</i>, edited by C. Reading, IASE,
    2010.
  short: 'R. Biehler, A. Prömmel, in: C. Reading (Ed.), Proceedings of ICoTS 8, Ljubljana,
    July 2010, IASE, Voorburg, The Netherlands, 2010.'
date_created: 2024-11-11T10:58:45Z
date_updated: 2024-11-11T11:00:06Z
department:
- _id: '363'
editor:
- first_name: C.
  full_name: Reading, C.
  last_name: Reading
language:
- iso: eng
main_file_link:
- url: https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=9ac382a070a4984fe69cd813341bf630d6e4efaa
place: Voorburg, The Netherlands
publication: Proceedings of ICoTS 8, Ljubljana, July 2010
publisher: IASE
status: public
title: Developing students’ computer-supported simulation and modelling competencies
  by means of carefully designed working environments
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '56967'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: K.
  full_name: Eilerts, K.
  last_name: Eilerts
- first_name: M.
  full_name: Hänze, M.
  last_name: Hänze
- first_name: R.
  full_name: Hochmuth, R.
  last_name: Hochmuth
citation:
  ama: 'Biehler R, Eilerts K, Hänze M, Hochmuth R. Mathematiklehrerausbildung zum
    Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und Einstellungen
    zur Mathematik (BMBF-Projekt LIMA). In: Lindmeier A, Ufer St, eds. <i>Beiträge
    zum Mathematikunterricht 2010</i>. WTM-Verlag; 2010:269-272.'
  apa: 'Biehler, R., Eilerts, K., Hänze, M., &#38; Hochmuth, R. (2010). Mathematiklehrerausbildung
    zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und
    Einstellungen zur Mathematik (BMBF-Projekt LIMA). In A. Lindmeier &#38; St. Ufer
    (Eds.), <i>Beiträge zum Mathematikunterricht 2010</i> (pp. 269–272). WTM-Verlag.'
  bibtex: '@inbook{Biehler_Eilerts_Hänze_Hochmuth_2010, place={Münster}, title={Mathematiklehrerausbildung
    zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und
    Einstellungen zur Mathematik (BMBF-Projekt LIMA)}, booktitle={Beiträge zum Mathematikunterricht
    2010}, publisher={WTM-Verlag}, author={Biehler, Rolf and Eilerts, K. and Hänze,
    M. and Hochmuth, R.}, editor={Lindmeier, A. and Ufer, St.}, year={2010}, pages={269–272}
    }'
  chicago: 'Biehler, Rolf, K. Eilerts, M. Hänze, and R. Hochmuth. “Mathematiklehrerausbildung
    zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und
    Einstellungen zur Mathematik (BMBF-Projekt LIMA).” In <i>Beiträge zum Mathematikunterricht
    2010</i>, edited by A. Lindmeier and St. Ufer, 269–72. Münster: WTM-Verlag, 2010.'
  ieee: 'R. Biehler, K. Eilerts, M. Hänze, and R. Hochmuth, “Mathematiklehrerausbildung
    zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und
    Einstellungen zur Mathematik (BMBF-Projekt LIMA),” in <i>Beiträge zum Mathematikunterricht
    2010</i>, A. Lindmeier and St. Ufer, Eds. Münster: WTM-Verlag, 2010, pp. 269–272.'
  mla: 'Biehler, Rolf, et al. “Mathematiklehrerausbildung zum Studienbeginn: Eine
    empirische Studie zu Studienmotivation, Vor-wissen und Einstellungen zur Mathematik
    (BMBF-Projekt LIMA).” <i>Beiträge zum Mathematikunterricht 2010</i>, edited by
    A. Lindmeier and St. Ufer, WTM-Verlag, 2010, pp. 269–72.'
  short: 'R. Biehler, K. Eilerts, M. Hänze, R. Hochmuth, in: A. Lindmeier, St. Ufer
    (Eds.), Beiträge zum Mathematikunterricht 2010, WTM-Verlag, Münster, 2010, pp.
    269–272.'
date_created: 2024-11-11T11:04:15Z
date_updated: 2024-11-11T11:08:52Z
department:
- _id: '363'
editor:
- first_name: A.
  full_name: Lindmeier, A.
  last_name: Lindmeier
- first_name: St.
  full_name: Ufer, St.
  last_name: Ufer
language:
- iso: ger
page: 269-272
place: Münster
publication: Beiträge zum Mathematikunterricht 2010
publisher: WTM-Verlag
status: public
title: 'Mathematiklehrerausbildung zum Studienbeginn: Eine empirische Studie zu Studienmotivation,
  Vor-wissen und Einstellungen zur Mathematik (BMBF-Projekt LIMA)'
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '56970'
author:
- first_name: P.R.
  full_name: Fischer, P.R.
  last_name: Fischer
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Fischer PR, Biehler R. Ein individualisierter eVorkurs für 400 Studierende
    und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit hohen Teilnehmerzahlen.
    In: Lindmeier A, Ufer St, eds. <i>Beiträge zum Mathematikunterricht 2010</i>.
    WTM-Verlag; 2010:297-300.'
  apa: Fischer, P. R., &#38; Biehler, R. (2010). Ein individualisierter eVorkurs für
    400 Studierende und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit
    hohen Teilnehmerzahlen. In A. Lindmeier &#38; St. Ufer (Eds.), <i>Beiträge zum
    Mathematikunterricht 2010</i> (pp. 297–300). WTM-Verlag.
  bibtex: '@inbook{Fischer_Biehler_2010, place={Münster}, title={Ein individualisierter
    eVorkurs für 400 Studierende und mehr. Ein Lösungsansatz für mathematische Brückenkurse
    mit hohen Teilnehmerzahlen}, booktitle={Beiträge zum Mathematikunterricht 2010},
    publisher={WTM-Verlag}, author={Fischer, P.R. and Biehler, Rolf}, editor={Lindmeier,
    A. and Ufer, St.}, year={2010}, pages={297–300} }'
  chicago: 'Fischer, P.R., and Rolf Biehler. “Ein individualisierter eVorkurs für
    400 Studierende und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit
    hohen Teilnehmerzahlen.” In <i>Beiträge zum Mathematikunterricht 2010</i>, edited
    by A. Lindmeier and St. Ufer, 297–300. Münster: WTM-Verlag, 2010.'
  ieee: 'P. R. Fischer and R. Biehler, “Ein individualisierter eVorkurs für 400 Studierende
    und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit hohen Teilnehmerzahlen,”
    in <i>Beiträge zum Mathematikunterricht 2010</i>, A. Lindmeier and St. Ufer, Eds.
    Münster: WTM-Verlag, 2010, pp. 297–300.'
  mla: Fischer, P. R., and Rolf Biehler. “Ein individualisierter eVorkurs für 400
    Studierende und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit hohen
    Teilnehmerzahlen.” <i>Beiträge zum Mathematikunterricht 2010</i>, edited by A.
    Lindmeier and St. Ufer, WTM-Verlag, 2010, pp. 297–300.
  short: 'P.R. Fischer, R. Biehler, in: A. Lindmeier, St. Ufer (Eds.), Beiträge zum
    Mathematikunterricht 2010, WTM-Verlag, Münster, 2010, pp. 297–300.'
date_created: 2024-11-11T11:08:32Z
date_updated: 2024-11-11T11:08:48Z
department:
- _id: '363'
editor:
- first_name: A.
  full_name: Lindmeier, A.
  last_name: Lindmeier
- first_name: St.
  full_name: Ufer, St.
  last_name: Ufer
language:
- iso: ger
page: 297-300
place: Münster
publication: Beiträge zum Mathematikunterricht 2010
publisher: WTM-Verlag
status: public
title: Ein individualisierter eVorkurs für 400 Studierende und mehr. Ein Lösungsansatz
  für mathematische Brückenkurse mit hohen Teilnehmerzahlen
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '56964'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Pascal R
  full_name: Fischer, Pascal R
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Johan
  full_name: Jeuring, Johan
  last_name: Jeuring
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
citation:
  ama: 'Biehler R, Fischer PR, Hochmuth R, Jeuring J, Wassong T. How to support students
    learning in mathematical bridging-courses using an ITS? Remedial scenarios in
    the European project Math-Bridge. In: <i>Proceedings of the S-ICT Conference,
    Universiteit Utrecht, 1.-2. Nov. 2010</i>. ; 2010.'
  apa: Biehler, R., Fischer, P. R., Hochmuth, R., Jeuring, J., &#38; Wassong, T. (2010).
    How to support students learning in mathematical bridging-courses using an ITS?
    Remedial scenarios in the European project Math-Bridge. In <i>Proceedings of the
    S-ICT conference, Universiteit Utrecht, 1.-2. Nov. 2010</i>.
  bibtex: '@inbook{Biehler_Fischer_Hochmuth_Jeuring_Wassong_2010, title={How to support
    students learning in mathematical bridging-courses using an ITS? Remedial scenarios
    in the European project Math-Bridge}, booktitle={Proceedings of the S-ICT conference,
    Universiteit Utrecht, 1.-2. Nov. 2010}, author={Biehler, Rolf and Fischer, Pascal
    R and Hochmuth, Reinhard and Jeuring, Johan and Wassong, Thomas}, year={2010}
    }'
  chicago: Biehler, Rolf, Pascal R Fischer, Reinhard Hochmuth, Johan Jeuring, and
    Thomas Wassong. “How to Support Students Learning in Mathematical Bridging-Courses
    Using an ITS? Remedial Scenarios in the European Project Math-Bridge.” In <i>Proceedings
    of the S-ICT Conference, Universiteit Utrecht, 1.-2. Nov. 2010</i>, 2010.
  ieee: R. Biehler, P. R. Fischer, R. Hochmuth, J. Jeuring, and T. Wassong, “How to
    support students learning in mathematical bridging-courses using an ITS? Remedial
    scenarios in the European project Math-Bridge,” in <i>Proceedings of the S-ICT
    conference, Universiteit Utrecht, 1.-2. Nov. 2010</i>, 2010.
  mla: Biehler, Rolf, et al. “How to Support Students Learning in Mathematical Bridging-Courses
    Using an ITS? Remedial Scenarios in the European Project Math-Bridge.” <i>Proceedings
    of the S-ICT Conference, Universiteit Utrecht, 1.-2. Nov. 2010</i>, 2010.
  short: 'R. Biehler, P.R. Fischer, R. Hochmuth, J. Jeuring, T. Wassong, in: Proceedings
    of the S-ICT Conference, Universiteit Utrecht, 1.-2. Nov. 2010, 2010.'
date_created: 2024-11-11T10:56:22Z
date_updated: 2024-11-11T10:58:10Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- url: https://www.academia.edu/download/30622681/10.1.1.174.8927.pdf
publication: Proceedings of the S-ICT conference, Universiteit Utrecht, 1.-2. Nov.
  2010
status: public
title: How to support students learning in mathematical bridging-courses using an
  ITS? Remedial scenarios in the European project Math-Bridge
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '56966'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: R.
  full_name: Hochmuth, R.
  last_name: Hochmuth
- first_name: W.
  full_name: Koepf, W.
  last_name: Koepf
citation:
  ama: 'Biehler R, Hochmuth R, Koepf W. Mathematische Brückenkurse. In: Lindmeier
    A, Ufer St, eds. <i>Beiträge zum Mathematikunterricht 2010</i>. WTM-Verlag; 2010.'
  apa: Biehler, R., Hochmuth, R., &#38; Koepf, W. (2010). Mathematische Brückenkurse.
    In A. Lindmeier &#38; St. Ufer (Eds.), <i>Beiträge zum Mathematikunterricht 2010</i>.
    WTM-Verlag.
  bibtex: '@inbook{Biehler_Hochmuth_Koepf_2010, place={Münster}, title={Mathematische
    Brückenkurse}, booktitle={Beiträge zum Mathematikunterricht 2010}, publisher={WTM-Verlag},
    author={Biehler, Rolf and Hochmuth, R. and Koepf, W.}, editor={Lindmeier, A. and
    Ufer, St.}, year={2010} }'
  chicago: 'Biehler, Rolf, R. Hochmuth, and W. Koepf. “Mathematische Brückenkurse.”
    In <i>Beiträge zum Mathematikunterricht 2010</i>, edited by A. Lindmeier and St.
    Ufer. Münster: WTM-Verlag, 2010.'
  ieee: 'R. Biehler, R. Hochmuth, and W. Koepf, “Mathematische Brückenkurse,” in <i>Beiträge
    zum Mathematikunterricht 2010</i>, A. Lindmeier and St. Ufer, Eds. Münster: WTM-Verlag,
    2010.'
  mla: Biehler, Rolf, et al. “Mathematische Brückenkurse.” <i>Beiträge zum Mathematikunterricht
    2010</i>, edited by A. Lindmeier and St. Ufer, WTM-Verlag, 2010.
  short: 'R. Biehler, R. Hochmuth, W. Koepf, in: A. Lindmeier, St. Ufer (Eds.), Beiträge
    zum Mathematikunterricht 2010, WTM-Verlag, Münster, 2010.'
date_created: 2024-11-11T11:02:20Z
date_updated: 2024-11-11T11:08:55Z
department:
- _id: '363'
editor:
- first_name: A.
  full_name: Lindmeier, A.
  last_name: Lindmeier
- first_name: St.
  full_name: Ufer, St.
  last_name: Ufer
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht 2010
publisher: WTM-Verlag
status: public
title: Mathematische Brückenkurse
type: book_chapter
user_id: '37888'
year: '2010'
...
---
_id: '64746'
article_type: original
author:
- first_name: Rafael
  full_name: Dahmen, Rafael
  last_name: Dahmen
citation:
  ama: Dahmen R. Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory. <i>Mathematische Zeitschrift</i>. 2010;266(1):115–140. doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>
  apa: Dahmen, R. (2010). Analytic mappings between LB-spaces and applications in
    infinite-dimensional Lie theory. <i>Mathematische Zeitschrift</i>, <i>266</i>(1),
    115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>
  bibtex: '@article{Dahmen_2010, title={Analytic mappings between LB-spaces and applications
    in infinite-dimensional Lie theory}, volume={266}, DOI={<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>},
    number={1}, journal={Mathematische Zeitschrift}, author={Dahmen, Rafael}, year={2010},
    pages={115–140} }'
  chicago: 'Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications
    in Infinite-Dimensional Lie Theory.” <i>Mathematische Zeitschrift</i> 266, no.
    1 (2010): 115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>.'
  ieee: 'R. Dahmen, “Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory,” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, pp. 115–140, 2010,
    doi: <a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.'
  mla: Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications in Infinite-Dimensional
    Lie Theory.” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, 2010, pp. 115–140,
    doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.
  short: R. Dahmen, Mathematische Zeitschrift 266 (2010) 115–140.
date_created: 2026-02-26T20:11:17Z
date_updated: 2026-02-27T07:35:57Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-009-0557-0
intvolume: '       266'
issue: '1'
keyword:
- '22E65'
- 46G20
- '26E15'
- '26E20'
- 46T10
- 46T25
language:
- iso: eng
page: 115–140
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Analytic mappings between LB-spaces and applications in infinite-dimensional
  Lie theory
type: journal_article
user_id: '178'
volume: 266
year: '2010'
...
---
_id: '64680'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: George A.
  full_name: Willis, George A.
  last_name: Willis
citation:
  ama: Glöckner H, Willis GA. Classification of the simple factors appearing in composition
    series of totally disconnected contraction groups. <i>Journal für die reine und
    angewandte Mathematik</i>. 2010;643:141–169. doi:<a href="https://doi.org/10.1515/CRELLE.2010.047">10.1515/CRELLE.2010.047</a>
  apa: Glöckner, H., &#38; Willis, G. A. (2010). Classification of the simple factors
    appearing in composition series of totally disconnected contraction groups. <i>Journal
    Für Die Reine Und Angewandte Mathematik</i>, <i>643</i>, 141–169. <a href="https://doi.org/10.1515/CRELLE.2010.047">https://doi.org/10.1515/CRELLE.2010.047</a>
  bibtex: '@article{Glöckner_Willis_2010, title={Classification of the simple factors
    appearing in composition series of totally disconnected contraction groups}, volume={643},
    DOI={<a href="https://doi.org/10.1515/CRELLE.2010.047">10.1515/CRELLE.2010.047</a>},
    journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge
    and Willis, George A.}, year={2010}, pages={141–169} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Classification of the Simple Factors
    Appearing in Composition Series of Totally Disconnected Contraction Groups.” <i>Journal
    Für Die Reine Und Angewandte Mathematik</i> 643 (2010): 141–169. <a href="https://doi.org/10.1515/CRELLE.2010.047">https://doi.org/10.1515/CRELLE.2010.047</a>.'
  ieee: 'H. Glöckner and G. A. Willis, “Classification of the simple factors appearing
    in composition series of totally disconnected contraction groups,” <i>Journal
    für die reine und angewandte Mathematik</i>, vol. 643, pp. 141–169, 2010, doi:
    <a href="https://doi.org/10.1515/CRELLE.2010.047">10.1515/CRELLE.2010.047</a>.'
  mla: Glöckner, Helge, and George A. Willis. “Classification of the Simple Factors
    Appearing in Composition Series of Totally Disconnected Contraction Groups.” <i>Journal
    Für Die Reine Und Angewandte Mathematik</i>, vol. 643, 2010, pp. 141–169, doi:<a
    href="https://doi.org/10.1515/CRELLE.2010.047">10.1515/CRELLE.2010.047</a>.
  short: H. Glöckner, G.A. Willis, Journal Für Die Reine Und Angewandte Mathematik
    643 (2010) 141–169.
date_created: 2026-02-26T11:15:48Z
date_updated: 2026-02-27T08:22:51Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/CRELLE.2010.047
intvolume: '       643'
keyword:
- 22D05
- 22A05
- 22D45
language:
- iso: eng
page: 141–169
publication: Journal für die reine und angewandte Mathematik
publication_identifier:
  issn:
  - 0075-4102
quality_controlled: '1'
status: public
title: Classification of the simple factors appearing in composition series of totally
  disconnected contraction groups
type: journal_article
user_id: '178'
volume: 643
year: '2010'
...
---
_id: '64679'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Ralf
  full_name: Gramlich, Ralf
  last_name: Gramlich
- first_name: Tobias
  full_name: Hartnick, Tobias
  last_name: Hartnick
citation:
  ama: Glöckner H, Gramlich R, Hartnick T. Final group topologies, Kac-Moody groups
    and Pontryagin duality. <i>Israel Journal of Mathematics</i>. 2010;177:49–101.
    doi:<a href="https://doi.org/10.1007/s11856-010-0038-5">10.1007/s11856-010-0038-5</a>
  apa: Glöckner, H., Gramlich, R., &#38; Hartnick, T. (2010). Final group topologies,
    Kac-Moody groups and Pontryagin duality. <i>Israel Journal of Mathematics</i>,
    <i>177</i>, 49–101. <a href="https://doi.org/10.1007/s11856-010-0038-5">https://doi.org/10.1007/s11856-010-0038-5</a>
  bibtex: '@article{Glöckner_Gramlich_Hartnick_2010, title={Final group topologies,
    Kac-Moody groups and Pontryagin duality}, volume={177}, DOI={<a href="https://doi.org/10.1007/s11856-010-0038-5">10.1007/s11856-010-0038-5</a>},
    journal={Israel Journal of Mathematics}, author={Glöckner, Helge and Gramlich,
    Ralf and Hartnick, Tobias}, year={2010}, pages={49–101} }'
  chicago: 'Glöckner, Helge, Ralf Gramlich, and Tobias Hartnick. “Final Group Topologies,
    Kac-Moody Groups and Pontryagin Duality.” <i>Israel Journal of Mathematics</i>
    177 (2010): 49–101. <a href="https://doi.org/10.1007/s11856-010-0038-5">https://doi.org/10.1007/s11856-010-0038-5</a>.'
  ieee: 'H. Glöckner, R. Gramlich, and T. Hartnick, “Final group topologies, Kac-Moody
    groups and Pontryagin duality,” <i>Israel Journal of Mathematics</i>, vol. 177,
    pp. 49–101, 2010, doi: <a href="https://doi.org/10.1007/s11856-010-0038-5">10.1007/s11856-010-0038-5</a>.'
  mla: Glöckner, Helge, et al. “Final Group Topologies, Kac-Moody Groups and Pontryagin
    Duality.” <i>Israel Journal of Mathematics</i>, vol. 177, 2010, pp. 49–101, doi:<a
    href="https://doi.org/10.1007/s11856-010-0038-5">10.1007/s11856-010-0038-5</a>.
  short: H. Glöckner, R. Gramlich, T. Hartnick, Israel Journal of Mathematics 177
    (2010) 49–101.
date_created: 2026-02-26T11:13:32Z
date_updated: 2026-02-27T08:23:45Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s11856-010-0038-5
intvolume: '       177'
keyword:
- '22E65'
language:
- iso: eng
page: 49–101
publication: Israel Journal of Mathematics
publication_identifier:
  issn:
  - 0021-2172
quality_controlled: '1'
status: public
title: Final group topologies, Kac-Moody groups and Pontryagin duality
type: journal_article
user_id: '178'
volume: 177
year: '2010'
...
---
_id: '16499'
author:
- first_name: Luca
  full_name: Biasco, Luca
  last_name: Biasco
- first_name: Laura
  full_name: Di Gregorio, Laura
  last_name: Di Gregorio
citation:
  ama: Biasco L, Di Gregorio L. A Birkhoff–Lewis Type Theorem for the Nonlinear Wave
    Equation. <i>Archive for Rational Mechanics and Analysis</i>. 2009:303-362. doi:<a
    href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>
  apa: Biasco, L., &#38; Di Gregorio, L. (2009). A Birkhoff–Lewis Type Theorem for
    the Nonlinear Wave Equation. <i>Archive for Rational Mechanics and Analysis</i>,
    303–362. <a href="https://doi.org/10.1007/s00205-009-0240-y">https://doi.org/10.1007/s00205-009-0240-y</a>
  bibtex: '@article{Biasco_Di Gregorio_2009, title={A Birkhoff–Lewis Type Theorem
    for the Nonlinear Wave Equation}, DOI={<a href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>},
    journal={Archive for Rational Mechanics and Analysis}, author={Biasco, Luca and
    Di Gregorio, Laura}, year={2009}, pages={303–362} }'
  chicago: Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for
    the Nonlinear Wave Equation.” <i>Archive for Rational Mechanics and Analysis</i>,
    2009, 303–62. <a href="https://doi.org/10.1007/s00205-009-0240-y">https://doi.org/10.1007/s00205-009-0240-y</a>.
  ieee: L. Biasco and L. Di Gregorio, “A Birkhoff–Lewis Type Theorem for the Nonlinear
    Wave Equation,” <i>Archive for Rational Mechanics and Analysis</i>, pp. 303–362,
    2009.
  mla: Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the
    Nonlinear Wave Equation.” <i>Archive for Rational Mechanics and Analysis</i>,
    2009, pp. 303–62, doi:<a href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>.
  short: L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009)
    303–362.
date_created: 2020-04-14T09:59:20Z
date_updated: 2022-01-06T06:52:51Z
department:
- _id: '101'
doi: 10.1007/s00205-009-0240-y
language:
- iso: eng
page: 303-362
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  issn:
  - 0003-9527
  - 1432-0673
publication_status: published
status: public
title: A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
type: journal_article
user_id: '47427'
year: '2009'
...
---
_id: '16524'
author:
- first_name: Matthias
  full_name: Blesken, Matthias
  last_name: Blesken
- first_name: Ulrich
  full_name: Ruckert, Ulrich
  last_name: Ruckert
- first_name: Dominik
  full_name: Steenken, Dominik
  last_name: Steenken
- first_name: Katrin
  full_name: Witting, Katrin
  last_name: Witting
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: 'Blesken M, Ruckert U, Steenken D, Witting K, Dellnitz M. Multiobjective optimization
    for transistor sizing of CMOS logic standard cells using set-oriented numerical
    techniques. In: <i>2009 NORCHIP</i>. ; 2009. doi:<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>'
  apa: Blesken, M., Ruckert, U., Steenken, D., Witting, K., &#38; Dellnitz, M. (2009).
    Multiobjective optimization for transistor sizing of CMOS logic standard cells
    using set-oriented numerical techniques. In <i>2009 NORCHIP</i>. <a href="https://doi.org/10.1109/norchp.2009.5397800">https://doi.org/10.1109/norchp.2009.5397800</a>
  bibtex: '@inproceedings{Blesken_Ruckert_Steenken_Witting_Dellnitz_2009, title={Multiobjective
    optimization for transistor sizing of CMOS logic standard cells using set-oriented
    numerical techniques}, DOI={<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>},
    booktitle={2009 NORCHIP}, author={Blesken, Matthias and Ruckert, Ulrich and Steenken,
    Dominik and Witting, Katrin and Dellnitz, Michael}, year={2009} }'
  chicago: Blesken, Matthias, Ulrich Ruckert, Dominik Steenken, Katrin Witting, and
    Michael Dellnitz. “Multiobjective Optimization for Transistor Sizing of CMOS Logic
    Standard Cells Using Set-Oriented Numerical Techniques.” In <i>2009 NORCHIP</i>,
    2009. <a href="https://doi.org/10.1109/norchp.2009.5397800">https://doi.org/10.1109/norchp.2009.5397800</a>.
  ieee: M. Blesken, U. Ruckert, D. Steenken, K. Witting, and M. Dellnitz, “Multiobjective
    optimization for transistor sizing of CMOS logic standard cells using set-oriented
    numerical techniques,” in <i>2009 NORCHIP</i>, 2009.
  mla: Blesken, Matthias, et al. “Multiobjective Optimization for Transistor Sizing
    of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” <i>2009
    NORCHIP</i>, 2009, doi:<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>.
  short: 'M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP,
    2009.'
date_created: 2020-04-15T08:11:10Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1109/norchp.2009.5397800
language:
- iso: eng
publication: 2009 NORCHIP
publication_identifier:
  isbn:
  - '9781424443109'
  - '9781424443116'
publication_status: published
status: public
title: Multiobjective optimization for transistor sizing of CMOS logic standard cells
  using set-oriented numerical techniques
type: conference
user_id: '15701'
year: '2009'
...
---
_id: '16545'
article_number: '243'
author:
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: K.
  full_name: Witting, K.
  last_name: Witting
citation:
  ama: Dellnitz M, Witting K. Computation of robust Pareto points. <i>International
    Journal of Computing Science and Mathematics</i>. 2009. doi:<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>
  apa: Dellnitz, M., &#38; Witting, K. (2009). Computation of robust Pareto points.
    <i>International Journal of Computing Science and Mathematics</i>. <a href="https://doi.org/10.1504/ijcsm.2009.027876">https://doi.org/10.1504/ijcsm.2009.027876</a>
  bibtex: '@article{Dellnitz_Witting_2009, title={Computation of robust Pareto points},
    DOI={<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>},
    number={243}, journal={International Journal of Computing Science and Mathematics},
    author={Dellnitz, M. and Witting, K.}, year={2009} }'
  chicago: Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” <i>International
    Journal of Computing Science and Mathematics</i>, 2009. <a href="https://doi.org/10.1504/ijcsm.2009.027876">https://doi.org/10.1504/ijcsm.2009.027876</a>.
  ieee: M. Dellnitz and K. Witting, “Computation of robust Pareto points,” <i>International
    Journal of Computing Science and Mathematics</i>, 2009.
  mla: Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” <i>International
    Journal of Computing Science and Mathematics</i>, 243, 2009, doi:<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>.
  short: M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics
    (2009).
date_created: 2020-04-15T08:54:35Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1504/ijcsm.2009.027876
language:
- iso: eng
publication: International Journal of Computing Science and Mathematics
publication_identifier:
  issn:
  - 1752-5055
  - 1752-5063
publication_status: published
status: public
title: Computation of robust Pareto points
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16572'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Christian
  full_name: Horenkamp, Christian
  last_name: Horenkamp
- first_name: Kathrin
  full_name: Padberg, Kathrin
  last_name: Padberg
citation:
  ama: Dellnitz M, Froyland G, Horenkamp C, Padberg K. On the Approximation of Transport
    Phenomena - a Dynamical Systems Approach. <i>GAMM-Mitteilungen</i>. 2009:47-60.
    doi:<a href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>
  apa: Dellnitz, M., Froyland, G., Horenkamp, C., &#38; Padberg, K. (2009). On the
    Approximation of Transport Phenomena - a Dynamical Systems Approach. <i>GAMM-Mitteilungen</i>,
    47–60. <a href="https://doi.org/10.1002/gamm.200910004">https://doi.org/10.1002/gamm.200910004</a>
  bibtex: '@article{Dellnitz_Froyland_Horenkamp_Padberg_2009, title={On the Approximation
    of Transport Phenomena - a Dynamical Systems Approach}, DOI={<a href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>},
    journal={GAMM-Mitteilungen}, author={Dellnitz, Michael and Froyland, Gary and
    Horenkamp, Christian and Padberg, Kathrin}, year={2009}, pages={47–60} }'
  chicago: Dellnitz, Michael, Gary Froyland, Christian Horenkamp, and Kathrin Padberg.
    “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.”
    <i>GAMM-Mitteilungen</i>, 2009, 47–60. <a href="https://doi.org/10.1002/gamm.200910004">https://doi.org/10.1002/gamm.200910004</a>.
  ieee: M. Dellnitz, G. Froyland, C. Horenkamp, and K. Padberg, “On the Approximation
    of Transport Phenomena - a Dynamical Systems Approach,” <i>GAMM-Mitteilungen</i>,
    pp. 47–60, 2009.
  mla: Dellnitz, Michael, et al. “On the Approximation of Transport Phenomena - a
    Dynamical Systems Approach.” <i>GAMM-Mitteilungen</i>, 2009, pp. 47–60, doi:<a
    href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>.
  short: M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009)
    47–60.
date_created: 2020-04-16T05:01:31Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1002/gamm.200910004
language:
- iso: eng
page: 47-60
publication: GAMM-Mitteilungen
publication_identifier:
  issn:
  - 0936-7195
  - 1522-2608
publication_status: published
status: public
title: On the Approximation of Transport Phenomena - a Dynamical Systems Approach
type: journal_article
user_id: '15701'
year: '2009'
...
