220 research outputs found
Gebißbuch Oder Kurtzer und Gründlicher Bericht/ von Gebiß und Zeumung der Pferd : sampt deroselben unterschiedlichen Würckung/ auch wie dieselben nützlich und nach gelegenheit der Pferde zugebrauchen sein / Allen ... Standes Personen/ und dieser Kunst Liebhabern zu Ehren ... verfaßt/ und in offnen Druck gegeben/ Durch Christoff Jacob Lieb
No full textAdjoint Brascamp-Lieb inequalities
No full textThe Brascamp-Lieb inequalities are a generalization of the H\"older,
Loomis-Whitney, Young, and Finner inequalities that have found many
applications in harmonic analysis and elsewhere. In this paper we introduce an
"adjoint" version of these inequalities, which can be viewed as an
version of the entropy Brascamp-Lieb inequalities of Carlen and
Cordero-Erausquin. As applications, we reprove a log-convexity property of the
Gowers uniformity norms, and establish some reverse inequalities for
various tomographic transforms. We conclude with some open questions.Comment: 43 pages; some further references and remarks adde
Adjoint Brascamp–Lieb inequalities
No full textThe Brascamp-Lieb inequalities are a generalization of the Hölder, Loomis-Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhere. In this paper we introduce an "adjoint" version of these inequalities, which can be viewed as an Lp version of the entropy Brascamp-Lieb inequalities of Carlen and Cordero-Erausquin. As applications, we reprove a log-convexity property of the Gowers uniformity norms, and establish some reverse Lp inequalities for various tomographic transforms. We conclude with some open questions
Fourier duality in the Brascamp-Lieb inequality
No full textIt was observed recently in work of Bez, Buschenhenke, Cowling, Flock and the first author, that the euclidean Brascamp-Lieb inequality satisfies a natural and useful Fourier duality property. The purpose of this paper is to establish an appropriate discrete analogue of this. Our main result identifies the Brascamp-Lieb constants on (finitely-generated) discrete abelian groups with Brascamp-Lieb constants on their (Pontryagin) duals. As will become apparent, the natural setting for this duality principle is that of locally compact abelian groups, and this raises basic questions about Brascamp-Lieb constants formulated in this generality
De origine animae humanae
No full textquam annuente Deo ... sub praesidio ... Ioh. Henrici Heideggeri placido eruditorum examini subiicit Hermannus Liebius Episcopicellanus, author & respondens, ad diem Septembris, loco horísque solitisDiss. Hohe Schule Zürich, 167
Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
No full textA criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalties of Hölder, Young, and Loomis-Whitney. The proof relies on interpolation, linear algebra, and Hölder’s inequality
Finite Bounds for Holder-Brascamp-Lieb Multilinear Inequalities
No full textA criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalties of Rogers and Holder, Young, and Loomis-Whitney
The Brascamp–Lieb inequalities: recent developments
No full textsummary:We discuss recent progress on issues surrounding the Brascamp–Lieb inequalities
Towards a general theory of word formation: the Process Model
No full textForeword. The present essay—longer than a paper but shorter than a
book—characterizes the Process Model of Word Formation that represents a new
approach to word formation intermediate between constructionist and generative
approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in
prep.), The Process Model of Word Formation and Inflection.
Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the
book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which
it is a completely revised and enlarged version. The essay was completed in
July 2013; it is an outcome of work undertaken by the author since roughly
2006 but originating from still earlier work (first presented at a Research
Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a
lecture read at the Annual Meeting of the Deutsche Gesellschaft für
Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access
publication by the Freie Universität Berlin; it is free for downloading, but
all rights remain with the author (in particular, revamping of the text or its
commercial use are prohibited; quotation only with indication of the source).
The Freie Universität Berlin also houses a major effort at producing book-
length Open Access publications in linguistics, organized into series:
Language Science Press, langsci-press.org. The present essay does not fit this
framework, both for lack of a suitable series and for being shorter than a
book. An Open Access format was chosen for the essay by its author for a
number of reasons, most importantly, to provoke discussion (contact the author
via: [email protected]). Please quote this essay as follows, together with
its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word
formation: the Process Model. Berlin: Freie Universität Berlin. (An Open
Access publication.) The author is Full Professor (em.) of General and German
Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July
2013 Hans-Heinrich LiebForeword. The present essay—longer than a paper but shorter than a
book—characterizes the Process Model of Word Formation that represents a new
approach to word formation intermediate between constructionist and generative
approaches; the model will be elaborated in detail in: Lieb, Hans-Heinrich (in
prep.), The Process Model of Word Formation and Inflection.
Amsterdam/Philadelphia: Benjamins. The essay, which is independent of the
book, replaces an earlier, unpublished manuscript (Lieb 2011/2012), of which
it is a completely revised and enlarged version. The essay was completed in
July 2013; it is an outcome of work undertaken by the author since roughly
2006 but originating from still earlier work (first presented at a Research
Colloquium held at the Freie Universität Berlin in 2001, and subsequently by a
lecture read at the Annual Meeting of the Deutsche Gesellschaft für
Sprachwissenschaft in 2006: Lieb 2006). The present text is an Open Access
publication by the Freie Universität Berlin; it is free for downloading, but
all rights remain with the author (in particular, revamping of the text or its
commercial use are prohibited; quotation only with indication of the source).
The Freie Universität Berlin also houses a major effort at producing book-
length Open Access publications in linguistics, organized into series:
Language Science Press, langsci-press.org. The present essay does not fit this
framework, both for lack of a suitable series and for being shorter than a
book. An Open Access format was chosen for the essay by its author for a
number of reasons, most importantly, to provoke discussion (contact the author
via: [email protected]). Please quote this essay as follows, together with
its url: Lieb, Hans-Heinrich. 2013. Towards a general theory of word
formation: the Process Model. Berlin: Freie Universität Berlin. (An Open
Access publication.) The author is Full Professor (em.) of General and German
Linguistics at the Freie Universität Berlin in Berlin, Germany. Berlin, July
2013 Hans-Heinrich Lie
Loomis–Whitney inequalities on corank 1 Carnot groups
No full textIn this paper we provide another way to deduce the Loomis–Whitney inequality on higher dimensional Heisenberg groups based on the one on the first Heisenberg group and the known nonlinear Loomis–Whitney inequality (which has more projections than ours). Moreover, we generalize the result to the case of corank 1 Carnot groups and products of such groups. Our main tool is the modified equivalence between the Brascamp–Lieb inequality and the subadditivity of the entropy developed in Carlen and Cordero-Erausquin (2009)
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