111 research outputs found
Elizabeth Hille, (1868-1951), purchased by Mrs. Rabel Richard on April 19, 1951.
No full textDocuments regarding the headstone for Elizabeth Hille, (1868-1951), purchased by Mrs. Rabel Richard. The marker was placed at Gibsonburg Cemetery, Gibsonburg, Ohio
An extension of the Hille-Hardy formula
No full textWhile attempting to give extensions of the well-known Hille-Hardy formula for the generalized Laguerre polynomials
{
L
n
(
α
)
(
x
)
}
\{ {L_n}^{(\alpha )}(x)\}
defined by
, the author applies here certain operational techniques and the method of finite mathematical induction to derive several bilinear generating functions associated with various classes of generalized hypergeometric polynomials. It is observed that the earlier works of Brafman [2], [3], [4], Chaundy [5], Meixner [12], Weisner [16], and others quoted in the literature, are only specialized or limiting forms of the results presented here.</p
Towards a Critical Political Ethics: Catholic Ethic and Social Challenges
No full textIn her book Hille Haker pleads for a radical course correction of Catholic social ethics by focusing on three foundational concepts of social ethics: human rights, human dignity and moral responsibility based on the interplay of compassion, solidarity and justice. The author argues for a historically and politically mediated ethics that replaces the natural law ethics. The theoretical reflections of the book are carried out by the practical social-ethical studies: The politicization of individual human rights is examined in the contexts of migration, religious freedom, and criminal justice. Human dignity is spelled out as vulnerable agency allowing for a sharp criticism of Catholic sexual morality and neglect of women’s human rights.The book ends with a discussion of the relationship of political theology and political ethics and its social-ethical implications for the further development of a Critical Political Ethics.https://ecommons.luc.edu/facultybooks/1176/thumbnail.jp
Microbial attachment to sulfide minerals in a bioleach environment
No full textIncludes bibliographical references (leaves 119-125).This research pertains to bioleaching of copper containing ores with particular reference to the copper sulfide mineral chalcopyrite (CuFeS₂). While it is focused on heap bioleaching, it has applications to stirred tank bioleaching operations. Industrial heap bioleaching offers opportunities for processing of low grade ores but poses process operational challenges. These challenges include ineffective heap inoculation, a lag period before effective leaching commences and poor heap performance. These aspects are attributed to several contributing factors, such as heap construction, engineering and microbial activity. To date little attention has been paid to colonisation as a means of mitigating these challenges and effectively improving process operation. Current literature regarding microbial attachment to sulfide minerals is limited to pure culture studies using iron oxidising mesophiles, and the use of sulfide mineral concentrates. In a heap environment, mineral dissolution is accelerated through the presence of a mixed consortium of microbial species; with the contribution of each not yet fully understood. In addition, gangue minerals comprise the bulk of the minerals present and thus cannot be neglected when attempting to better understand microbial attachment and the role of micro-organisms in a heap environment. The predominant methodology employed to study microbial attachment in a bioleach context has used batch agitated systems (shake flasks). This may not adequately represent attachment under heap-like fluid dynamics. The idea of this project stemmed from a requirement to contribute to the mitigation of challenges faced by industry through addressing the aforementioned gaps prevailing in literature and improving understanding of the role of microbial attachment and colonisation under conditions simulating a heap. The aim of this study was to investigate attachment of three bioleach micro-organisms (A. ferrooxidans, L. ferriphilum and S. metallicus)to complex, sulfide-containing minerals ores in a bioleach environment using methodologies simulating heap-like conditions
A class of abstract quasi-linear evolution equations of second order
No full textIn this paper we study the abstract quasi-linear evolution equation of second order
formula here
in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial differential equations of second order and that his theory is based on the theory of semigroups of class (C0). (for example, see the work of hughes et al. [9] and heard [8].) however, even in the special case where a (t,w, v) = a is independent of (t, w, v), it is found in [2] and [14] that there exist linear partial differential equations of second order for which cauchy problems are not solvable by the theory of semigroups of class (C0) but fit into the mould of well-posed problems where the solution and its derivative depend continuously on the initial data if the initial condition is measured in the graph norm of a suitable power of a. (see also work by krein and khazan [13] and fattorini [6, chapter 8].) this kind of cauchy problem has recently been studied extensively, using the theory of integrated semigroups or regularized semigroups. the theory of integrated semigroups was studied intensively by arendt [1] and that of regularized semigroups was initiated by da prato [3] and renewed by davies and pang [4]. for the theory of regularized semigroups we refer the reader to [5] and [16].
(u(t),v(t))' = Ãu(t)(u(t),v(t)) for t∈[0,T] and (u(0),v(0)) = (φ,ψ)
in a suitable Banach space X, where for each solution w of equation (1.1) the matrix operator Aw(t) in X is defined by Aw(t)(u,v)=(v,A(t,w(t),w'(t)) u). We are here interested in studying the case where each matrix operator Aw(t) is the (complete infinitesimal) generator of a regularized semigroup on X. In Section 3 we set up basic hypotheses on the operators appearing in equation (1.1), and prove a fundamental existence and uniqueness theorem (Theorem 3.6) for the Cauchy problem (1.1). The proof is based on the theory of regularized evolution operators developed by the
author [15], and a method of successive approximations proposed by Kobayasi and Sanekata [12] is applied to construct a unique twice continuously differentiable function u satisfying equation (1.1).
Our formulation includes the abstract quasi-linear wave equation of Kirchhoff
type
u"(t)+m(|A1/2u(t)|2)Au(t)=0 (1.2)
in a real Hilbert space H, where A is a nonnegative selfadjoint operator in H. Section 4 presents a regularized semigroup theoretical approach to the local solvability of equation (1.2) in the `degenerate case' where the function m(r) has zeros (Theorems 4.1 and 4.2), by using the result obtained in Section 3. In Section 2 we summarize some results on the generation of a regularized evolution operator associated with the linearized equation of (1.1), under the `regularized stability ' condition, and show that the family of matrix operators used to solve the linearized equation (1.2) satisfies the regularized stability condition. This fact will be useful for our arguments in Section 4.</p
Lifetime Modeling of Thermal Barrier Coatings
No full textThermal barrier coatings (TBCs) are applied in gas turbines to enhance their thermal efficiency by isolating the metallic components from the aggressive hot gas. TBC lifetime is limited by damage processes originating at internal interfaces, which may ultimately lead to delamination and spallation. In the present thesis constitutive models are presented for the coating components and the most detrimental failure mechanisms. To simulate the thermomechanical failure response, the numerical models are applied to boundary value problems representative of conditions typically encountered during service and/or experiments. Based on the results, recommendations are given for TBC manufacturing.Mechanics, Aerospace Structures and MaterialsAerospace Engineerin
The Bohnenblust Hille cycle of ideas from a modern point of view
No full text[EN] In 1931 H.F.Bohnenblust and E.Hille published a very important paper in which
not only did they solve a long standing problem on convergence of Dirichlet series, but also
gave a general version of a celebrated inequality of Littlewood. Although it is full of extremely
valuable mathematical ideas, the paper has been overlooked for a long time and even today we
feel that it does not get the credit it deserves. This may be caused by the not always accessible
style that makes that the ideas are sometimes hidden. It is our intention to try to study the
paper from a modern point of view and to bring to light the valuable aspects we believe it has.Both authors were supported by MICINN Project MTM2011-22417. The second author was also partially supported by project UPV-SP201207000.Defant, A.; Sevilla Peris, P. (2014). The Bohnenblust Hille cycle of ideas from a modern point of view. Functiones et Approximatio, Commentarii mathematici. 50(1):55-127. https://doi.org/10.7169/facm/2014.50.1.2S5512750
Niet geroerde reaktor in tolueen oxidatie proces
No full textDocument(en) uit de collectie Chemische Procestechnologie.DelftChemTechApplied Science
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