869 resultados para Cauchy-Schwarz Inequality
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The classical problem of surface water-wave scattering by two identical thin vertical barriers submerged in deep water and extending infinitely downwards from the same depth below the mean free surface, is reinvestigated here by an approach leading to the problem of solving a system of Abel integral equations. The reflection and transmission coefficients are obtained in terms of computable integrals. Known results for a single barrier are recovered as a limiting case as the separation distance between the two barriers tends to zero. The coefficients are depicted graphically in a number of figures which are identical with the corresponding figures given by Jarvis (J Inst Math Appl 7:207-215, 1971) who employed a completely different approach involving a Schwarz-Christoffel transformation of complex-variable theory to solve the problem.
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Lantana camara L. (Verbenaceae) is a weed of great significance in Australia and worldwide, but little is known about connections among components of its life history. We document over a 3-year period, the links between L. camara seed-bank dynamics and its above-ground growth, including size asymmetry in four land-use types (a farm, a hoop pine plantation and two open eucalypt forests) invaded by the weed near Brisbane, Queensland Australia. Seed-bank populations varied appreciably across sites and in response to rainfall and control measures, and they were higher (~1,000 seeds/m2) when annual rainfall was 15-30 % below the long-term yearly average. Fire reduced seed-bank populations but not the proportion germinating (6-8 %). Nearly a quarter of fresh seeds remain germinable after 3 years of soil burial. For small seedlings (<10 cm high), the expected trade-offs in two life-history traits-survival and growth-did not apply; rather the observed positive association between these two traits, coupled with a persistent seed-bank population could contribute to the invasiveness of the plant. Relationships between absolute growth rate and initial plant size (crown volume) were positively linear, suggesting that most populations are still at varying stages of the exponential phase of the sigmoid growth; this trend also suggests that at most sites and despite increasing stand density and limiting environmental resources of light and soil moisture, lantana growth is inversely size asymmetric. From the observed changes in measures of plant size inequality, asymmetric competition appeared limited in all the infestations surveyed. © 2013 Crown Copyright as represented by: Department of Agriculture, Fisheries and Forestry, Australia.
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Mr. William Adler, 1984.
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Various intrusion detection systems (IDSs) reported in the literature have shown distinct preferences for detecting a certain class of attack with improved accuracy, while performing moderately on the other classes. In view of the enormous computing power available in the present-day processors, deploying multiple IDSs in the same network to obtain best-of-breed solutions has been attempted earlier. The paper presented here addresses the problem of optimizing the performance of IDSs using sensor fusion with multiple sensors. The trade-off between the detection rate and false alarms with multiple sensors is highlighted. It is illustrated that the performance of the detector is better when the fusion threshold is determined according to the Chebyshev inequality. In the proposed data-dependent decision ( DD) fusion method, the performance optimization of ndividual IDSs is first addressed. A neural network supervised learner has been designed to determine the weights of individual IDSs depending on their reliability in detecting a certain attack. The final stage of this DD fusion architecture is a sensor fusion unit which does the weighted aggregation in order to make an appropriate decision. This paper theoretically models the fusion of IDSs for the purpose of demonstrating the improvement in performance, supplemented with the empirical evaluation.
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Article about Siegbert Springer in Juristische Schulung, vol. 17, No. 7 and a report about a memorial plaque for Siegbert Springer in Berlin.
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The evolutionary function of X chromosome inactivation is thought to be dosage compensation. However, there is, at present, little evidence to suggest that most X chromosome-linked genes require such compensation. Another view--that X chromosome inactivation may be related to sex determination--is examined here. Consider a hypothetical DNA sequence regulating a major structural gene concerned with the determination of maleness. If this regulatory sequence occurs in both X and Y chromosomes and if its copy number in the Y chromosome is significantly greater than in the X chromosome, then the male-determining properties of the Y chromosome could be attributed to this higher copy number. On the other hand, if the Y chromosome has the same copy number of this sequence as the X chromosome, it is difficult to see how determination of two sexes would occur under such circumstances because XX and XY genomes would then be indistinguishable in this regard. Such a situation seems to occur in the human species with respect to the banded krait minor satellite, a repetitious DNA sequence associated with sex determination. This apparent difficulty may be resolved if X chromosome inactivation renders regulatory as well as structural genes nonfunctional and thereby brings about a significant reduction in the effective copy number of X chromosome-linked DNA sequences concerned with sex determination. It is suggested that X chromosome inactivation brings about, in this manner, a critical inequality between XX and XY embryos and that sex determination in humans is a consequence of this inequality. An analogous situation appears to exist in certain insects in which inactivation of a haploid set of chromosomes (and presumably, therefore, a 50% reduction in the effective copy number of most genes) is associated with maleness. If this line of reasoning is correct, it would suggest that sex determination may be the primary function of X chromosome inactivation.
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INTRODUCTION AND BACKGROUND: This presentation draws on a body of work assessing cultural safety's potential to generate change in mental health nursing research (Cox and Simpson 2015), in education and in clinical practice (Cox and Taua 2013, 2016; Happell, Cowin, Roper, Lakeman & Cox 2013). It presents evidence to suggest that cultural safety could resolve the conceptual confusion surrounding culture and diversity in nursing curricular, in clinical and in research practice. The history and nature of mental health work recommend cultural safety to focus attention on diversity, power imbalance, racism, cultural dominance, and structural inequality, identified as barriers and tensions in clinical practice and in service user participation. Cultural safety gives mental health nursing a well theorized and articulated model, which is evolving to improve practice into the future. DESCRIPTION: This work involved an immersion in the literature on cultural safety and the Service User Research movement. It draws on 5 months' work with a service users' research group in the UK and reflections on 9 years of cultural safety teaching. POLICY/PRACTICE CHANGE: This work provokes a crucial change of emphasis from locating the source of issues in the diversity of people to locating it in how society responds to diversity: a change from individualistic to systemic concerns. IMPLICATIONS FOR MENTAL HEALTH NURSING: Cultural safety in clinical practice, education, and research is specifically concerned with awareness of the impact of systemic workplace cultures and with staff cultural self-awareness to bring about cultural change and person-centred care of individuals' unique needs and aspirations within their life context.
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The records provide material relating to the accreditation, fundraising, management, planning, policies, programs, and public relations of a hospital that continues to serve the Greater Boston area. The records includes correspondence of various Presidents, Board Members, and Executive Directors; Board and committee minutes; scrapbooks, photographs, videotape, and film created by the Public Relations department; records of various Auxiliary groups; correspondence, reports, surveys, and other documents relating to the Pediatric Rehabilitation Program; and artifacts such as plaques, portraits, and silverware.
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For a feedback system consisting of a transfer function $G(s)$ in the forward path and a time-varying gain $n(t)(0 \leqq n(t) \leqq k)$ in the feedback loop, a stability multiplier $Z(s)$ has been constructed (and used to prove stability) by Freedman [2] such that $Z(s)(G(s) + {1 / K})$ and $Z(s - \sigma )(0 < \sigma < \sigma _ * )$ are strictly positive real, where $\sigma _ * $ can be computed from a knowledge of the phase-angle characteristic of $G(i\omega ) + {1 / k}$ and the time-varying gain $n(t)$ is restricted by $\sigma _ * $ by means of an integral inequality. In this note it is shown that an improved value for $\sigma _ * $ is possible by making some modifications in his derivation. ©1973 Society for Industrial and Applied Mathematics.
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A composition operator is a linear operator between spaces of analytic or harmonic functions on the unit disk, which precomposes a function with a fixed self-map of the disk. A fundamental problem is to relate properties of a composition operator to the function-theoretic properties of the self-map. During the recent decades these operators have been very actively studied in connection with various function spaces. The study of composition operators lies in the intersection of two central fields of mathematical analysis; function theory and operator theory. This thesis consists of four research articles and an overview. In the first three articles the weak compactness of composition operators is studied on certain vector-valued function spaces. A vector-valued function takes its values in some complex Banach space. In the first and third article sufficient conditions are given for a composition operator to be weakly compact on different versions of vector-valued BMOA spaces. In the second article characterizations are given for the weak compactness of a composition operator on harmonic Hardy spaces and spaces of Cauchy transforms, provided the functions take values in a reflexive Banach space. Composition operators are also considered on certain weak versions of the above function spaces. In addition, the relationship of different vector-valued function spaces is analyzed. In the fourth article weighted composition operators are studied on the scalar-valued BMOA space and its subspace VMOA. A weighted composition operator is obtained by first applying a composition operator and then a pointwise multiplier. A complete characterization is given for the boundedness and compactness of a weighted composition operator on BMOA and VMOA. Moreover, the essential norm of a weighted composition operator on VMOA is estimated. These results generalize many previously known results about composition operators and pointwise multipliers on these spaces.
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The module of a quadrilateral is a positive real number which divides quadrilaterals into conformal equivalence classes. This is an introductory text to the module of a quadrilateral with some historical background and some numerical aspects. This work discusses the following topics: 1. Preliminaries 2. The module of a quadrilateral 3. The Schwarz-Christoffel Mapping 4. Symmetry properties of the module 5. Computational results 6. Other numerical methods Appendices include: Numerical evaluation of the elliptic integrals of the first kind. Matlab programs and scripts and possible topics for future research. Numerical results section covers additive quadrilaterals and the module of a quadrilateral under the movement of one of its vertex.
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This month’s long-awaited release of the Trans-Pacific Partnership (TPP) text was the result of years of negotiations on trade ties between nations around the Pacific Rim. Some six weeks earlier, another set of deliberations came to an end as the United Nations unveiled its 17 Sustainable Development Goals (SDGs), which aim to eradicate poverty and reduce inequality by addressing critical issues such as food security, health care, access to education, clean and affordable water, clean energy, and climate action. Unfortunately, the two documents are incompatible. Several chapters of the TPP impinge upon the SDGs, potentially undermining the UN’s efforts to promote sustainable development and equality throughout the Pacific region. Moreover, many developing countries, least-developed countries, and small island states in the Pacific region are excluded from the preferential trade deal.
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Tools known as maximal functions are frequently used in harmonic analysis when studying local behaviour of functions. Typically they measure the suprema of local averages of non-negative functions. It is essential that the size (more precisely, the L^p-norm) of the maximal function is comparable to the size of the original function. When dealing with families of operators between Banach spaces we are often forced to replace the uniform bound with the larger R-bound. Hence such a replacement is also needed in the maximal function for functions taking values in spaces of operators. More specifically, the suprema of norms of local averages (i.e. their uniform bound in the operator norm) has to be replaced by their R-bound. This procedure gives us the Rademacher maximal function, which was introduced by Hytönen, McIntosh and Portal in order to prove a certain vector-valued Carleson's embedding theorem. They noticed that the sizes of an operator-valued function and its Rademacher maximal function are comparable for many common range spaces, but not for all. Certain requirements on the type and cotype of the spaces involved are necessary for this comparability, henceforth referred to as the “RMF-property”. It was shown, that other objects and parameters appearing in the definition, such as the domain of functions and the exponent p of the norm, make no difference to this. After a short introduction to randomized norms and geometry in Banach spaces we study the Rademacher maximal function on Euclidean spaces. The requirements on the type and cotype are considered, providing examples of spaces without RMF. L^p-spaces are shown to have RMF not only for p greater or equal to 2 (when it is trivial) but also for 1 < p < 2. A dyadic version of Carleson's embedding theorem is proven for scalar- and operator-valued functions. As the analysis with dyadic cubes can be generalized to filtrations on sigma-finite measure spaces, we consider the Rademacher maximal function in this case as well. It turns out that the RMF-property is independent of the filtration and the underlying measure space and that it is enough to consider very simple ones known as Haar filtrations. Scalar- and operator-valued analogues of Carleson's embedding theorem are also provided. With the RMF-property proven independent of the underlying measure space, we can use probabilistic notions and formulate it for martingales. Following a similar result for UMD-spaces, a weak type inequality is shown to be (necessary and) sufficient for the RMF-property. The RMF-property is also studied using concave functions giving yet another proof of its independence from various parameters.
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Documents, medals, and photos pertaining to Max Strauss' service in the German Army before and during World War I:
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Grave sculpture as interpreter of life and death. Grave sculptures done by Heikki Häiväoja, Kain Tapper and Matti Peltokangas 1952-2002. The thoughts of Philippe Ariès and Erwin Panofsky on western funeral art constitute the starting point of this study. These scholars speak about the 20th century as a period of decline regarding western funeral art. The reason for this situation lies, according to them, in the fact that death has been rejected and become a private affair in modern society. Especially Panofsky sees an important reason for the decay of funeral art also in the separation of death from religion. In this study, I approach the view of Ariès and Panofsky from the angle of Finnish funeral art. The subject of the study is grave sculptures of three Finnish sculptors: Heikki Häiväoja, Kain Tapper and Matti Peltokangas, from 1952 to 2002. (The analysis of the grave sculptures has been performed with the Iconology of Erwin Panofsky. The analysis has been deepened by the ideas of a graveyard as a semiotic text according to Werner Enninger and Christa Schwens. In order to confirm their argumentation, they analyse the graveyard text with the model of communicative functions of Roman Jakobson and verify that the graveyard is a cultural text according to Juri Lotman.) Results of the study In the grave sculptures of the sculptors, different worldviews appear alongside Christian thoughts indicating a new stage in the tradition of funeral art. In the grave sculptures characterised as Christian, the view of life after death is included. In these memorials the direction of life is prospective, pointing to the life beyond. Death is a border, beyond which one is unable to see. Nevertheless the border is open or marked by the cross. On this open border, death is absence of pain, glory and new unity. In memorials with different worldviews, the life beyond is a possibility which is not excluded. Memorials interpret life retrospectively; life is a precious memory which wakens grief and longing. Many memorials have metaphysical and mystic features. In spite of democratization the order and valuation of social classes appear in some memorials. The old order also materializes in the war memorials relating the same destiny of the deceased. Different burial places, nevertheless, do not indicate social inequality but are rather signs of diversity. The sculptors' abstract means of modern funeral art deepen the handling of the subject matter of death and reveal the mystery of it. Grave sculptures are a part of Finnish and sacral modern art, and there is an interaction between funeral art and modern art. Modern art acquires a new dimension, when grave sculptures become a part of its field. Grave sculptures offer an alternative to anonymous burying. The memorial is a sign of the end of life; it gives death significance and publicity and creates a relation to the past of the society. In this way, grave sculptures are a part of the chain of memory of the western funeral art, which extends throughout Antiquity until ancient Egypt. (In this study I have spoken of funeral art as a chain of memory using the thoughts of Danièle Hervieu-Léger.) There are no signs of decay in the grave sculptures, on the contrary the tradition of funeral art continues in them as a search for the meaning of life and death and as an intuitive interpretation of death. As such, grave sculptures are part of the Finnish discussion of death.