17,567 research outputs found

    Transformation of tobacco with the BA5 cement protein gene from Balanus amphitrite

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    Expressing barnacle cement proteins genes such as the BA5 gene in plants may enable individual study and analysis. This technique is effective since barnacle cement is difficult to work with as a whole in the lab setting. The BA5 gene extracted from Balanus amphitrite is transferred to tobacco leaf tissue using Agrobacterium tumefaciens

    Coxeter group in Hilbert geometry

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    A theorem of Tits - Vinberg allows to build an action of a Coxeter group Γ\Gamma on a properly convex open set Ω\Omega of the real projective space, thanks to the data PP of a polytope and reflection across its facets. We give sufficient conditions for such action to be of finite covolume, convex-cocompact or geometrically finite. We describe an hypothesis that make those conditions necessary. Under this hypothesis, we describe the Zariski closure of Γ\Gamma, find the maximal Γ\Gamma-invariant convex, when there is a unique Γ\Gamma-invariant convex, when the convex Ω\Omega is strictly convex, when we can find a Γ\Gamma-invariant convex Ω′\Omega' which is strictly convex.Comment: 48

    Abstract simplicity of locally compact Kac-Moody groups

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    In this paper, we establish that complete Kac-Moody groups over finite fields are abstractly simple. The proof makes an essential use of Mathieu-Rousseau's construction of complete Kac-Moody groups over fields. This construction has the advantage that both real and imaginary root spaces of the Lie algebra lift to root subgroups over arbitrary fields. A key point in our proof is the fact, of independent interest, that both real and imaginary root subgroups are contracted by conjugation of positive powers of suitable Weyl group elements.Comment: 17 pages; the appendix by Caprace-Reid-Willis has been removed as it is now part of http://arxiv.org/abs/1304.6246. The proof of Theorems A and B has been simplified, and a Corollary F has been adde

    On the structure of Kac-Moody algebras

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    Let AA be a symmetrisable generalised Cartan matrix, and let g(A)\mathfrak g(A) be the corresponding Kac-Moody algebra. In this paper, we address the following fundamental question on the structure of g(A)\mathfrak g(A): given two homogeneous elements x,y∈g(A)x,y \in \mathfrak g(A), when is their bracket [x,y][x,y] a nonzero element? As an application of our results, we give a description of the solvable and nilpotent graded subalgebras of g(A)\mathfrak g(A).Comment: 32 pages. Final version, to appear in Canadian Journal of Mathematic

    About Gods, I Don\u27t Believe in None of That Shit, the Facts Are Backwards: Slaughterhouse\u27s Lyrical Atheism

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    Hip Hop group Slaughterhouse\u27s multi-membered, perversely holy quadrinity provides a fertile site for a pseudo-non-theological theological reading-a theology with and without god, that is, with god\u27s titular presence but bereft of any ethos of a mover and shaker god. God, in my reading of Slaughterhouse\u27s lyrics, is impotent. Rather than the Word, Slaughterhouse publishes sacred texts (albums and mixtapes) that speak to Black embodied life; their albums are the scriptural holy ghetto-Word, the Gospels that of Royce, Crooked, Joell, and Joey, rather than Matthew, Mark, Luke, and John. Through the lyrics of Slaughterhouse\u27s songs, they craft a god that is but is not; a god that does lyrical work in the sense that the name of god has cultural capital and produces effects, but is not God, that is, a being that commands the heavens and the Earth

    Around groups in Hilbert Geometry

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    This is survey about action of group on Hilbert geometry. It will be a chapter of the "Handbook of Hilbert geometry" edited by G. Besson, M. Troyanov and A. Papadopoulos.Comment: ~60 page

    Mathematical Models of Abstract Systems: Knowing abstract geometric forms

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    Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics where models occupy a central role, namely homotopy theory. I argue that mathematicians introduce genuine models and I offer a rough classification of these models

    I Am Not a Tractor! How Florida Farmworkers Took on the Fast Food Giants and Won

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    [Excerpt from jacket] I Am Not a Tractor! celebrates the courage, vision, and creativity of the farmworkers and community leaders who have transformed one of the worst agricultural situations in the United States into one of the best. Susan L. Marquis highlights past abuses workers in Florida\u27s tomato fields: toxic pesticide exposure, beatings, sexual assault, rampant wage theft, and even, astonishingly, modern-day slavery. Marquis unveils how, even without new legislation, regulation, or government participation, these farmworkers have dramatically improved their work conditions. Marquis credits this success to the immigrants from Mexico, Haiti, and Guatemala who formed the Coalition of Immokalee Workers, a neuroscience major who takes great pride in the watermelon crew he runs, a leading farmer/grower who was once homeless, and a retired New York State judge who volunteered to stuff envelopes and ended up building a groundbreaking institution. Through the Fair Food Program that they have developed, fought for, and implemented, these people have changed the lives of more than thirty thousand field workers. I Am Not a Tractor! offers a range of solutions to a problem that is rooted in our nation\u27s slave history and that is worsened by ongoing conflict over immigration

    Mathematical Abstraction, Conceptual Variation and Identity

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    One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject

    Canonical Maps

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    Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations. We want here to concentrate on what we take to be one of its strengths: the explicit identification of so-called canonical maps and their role in mathematics. Canonical maps play a central role in contemporary mathematics and although some are easily defined by set-theoretical tools, they all appear systematically in a categorical framework. The key element here is the systematic nature of these maps in a categorical framework and I suggest that, from that point of view, one can see an architectonic of mathematics emerging clearly. Moreover, they force us to reconsider the nature of mathematical knowledge itself. Thus, to understand certain fundamental aspects of mathematics, category theory is necessary (at least, in the present state of mathematics)
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