Integral

We give a closed-form evaluation of a number of Erdà elyi-Kober fractional integrals involving elliptic integrals of the ÿrst and second kind, in terms of the 3F2 generalized hypergeometric function. Reduction formulae for 3F2 enable us to simplify the solutions for a number of particular cases.

In this article, the authors will draw from their work in the Integral Teaching Fellowship Program at CIIS, and from their interactive session in the 2014 CIIS Founders Symposium on Integral Consciousness to better understand the epistemological relevance of positionality in integral education and critical pedagogy. A critical approach to pedagogy (drawing from theorists such as Paulo Freire and bell hooks) encourages students and educators alike to recognize their social positionings and reflect on how the institutionalization of their social identities (such as the expert, the genius, the marginalized, the disabled) not only inform the lenses through which they view the classroom, but also influence how they participate in the classroom. By employing an integral learning model (variety of modalities), a learning community is transformed into a dynamic positioning field, in which students and educators interact and co-create knowledge beyond their habitual or institutionally impose...

Sri Aurobindo’s teachings on Integral Yoga are couched in a universal and impersonal language, and could be considered an early input to contemporary transpersonal psychology. Yet, while he was writing his principal works in English, he was also keeping a diary of his experiences and understandings in a personal patois that hybridized English and Sanskrit. A hermeneutic perusal of this text, The Record of Yoga, published by the Sri Aurobindo Ashram, uncovers the semiotics of Indian yoga traditions, showing how Sri Aurobindo utilizes and furthers their discourse, and where he introduces new elements which may be considered “modern.” This essay takes a psychobiographical approach to the life of Sri Aurobindo (1872-1950), tracing his encounters with texts and situated traditions of Indian yoga from the period of his return to India from England (1893) till his settlement in Pondicherry (1910), to excavate the traditional roots and modern ruptures of his own yoga practice, which goes to...

A tanulmány az 1979-ben alapított Artpool Művészetkutató Központ 1995-ben létrejövő honlapjának információközvetítéshez, internetes kultúrához és képzőművészethez való viszonyát tárgyalja. Az Artpool weblapját-Magyarország első művészeti intézményi honlapját-a kezdetektől Galántai György, az intézmény egyik alapítója tervezi, aki a honlapra egyszerre tekint az információ megosztásának felületeként és alkotói gyakorlatának részeként. Az alábbi tanulmány a máig a kilencvenes évek internetes esztétikáját követő, és az akkor népszerű hypertext-struktúrában fejlődő honlap létrejöttének körülményeit, hálózati, kapcsolat-és küldeményművészetben gyökerező előzményeit és napjaink webes kultúrájában betöltött szerepét vizsgálja, rámutatva a korai internetes művészeti projektek megőrzésének médiaarcheológiai problémáira is. Kulcsszavak: internet, művészet, archívum, hálózati művészet, küldeményművészet, hypertext.

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Artpool's Website as an Integral Project

This paper examines the relationship of Artpool Art Research Center's website, established in 1979, with information mediation, Internet culture, and fine arts. Artpool's website was realized in 1995 as the first website of an art institution in Hungary, and has been designed by György Galántai, one of the founders of the institution. Galántai interprets the site both as an interface for sharing information, and as part of his artistic practice. The following paper discusses the possible roles and meanings of the website today, which is still characterized by the early internet aesthetics of the nineties, and then popular hypertext structures. The paper also examines the website's roots in network culture, mail art and correspondence art, and raises the question of the possibilities of its future preservation.

For finite nilpotent groups G and G , and a G-adapted ring S (the rational integers, for example), it is shown that any isomorphism between the centers of the group rings SG and SG is monomial, i.e., maps class sums in SG to class sums in SG up to multiplication with roots of unity. As a consequence, G and G have identical character tables if and only if the centers of their integral group rings G and G are isomorphic. In the course of the proof, a new proof of the class sum correspondence is given.

Abstract:- In this study, it is observed how a CAS programme can help student to increase their mathematical understanding. CAS have a lot of great properties that can be used for educational purposes. For example, you can produce 2D, 3D and even animated graphs. Symbolic calculations and some advanced mathematical level calculations can also be done. CAS is a name of a group of software such as Mathematica, Maple, Derive and Mathlab. In this study, Maple software has been chosen to design a discovery learning environment. A group of students has been directed to discover the relations among calculus concepts by using 3D graphs produced by Maple. A semi-structured interview has been employed in this study to collect data. At the end of this paper, mathematical acquirements of students have been discussed.

Growth in the field of automation and artificial intelligence has led to several innovations in the present-day world. By embracing responsibility for all the changes innovation can bring, the technical industry can be an important aspect for driving future progress. In any organization, it is important to keep the track of expenses which are raised and entered by the employees. These expenses include on-site visit, travel expense, food, and other related utilities. To maintain this track of records, an automated Expense Tracker System is designed that works online over a wide range of network. In reference to artificial intelligence, there are several ways of analyzing and predicting the future outcomes of numerous business and industries, their sales, profit, loss etc. Data Analytics serves as an integral part of observing and tracking the maximum relevance from the available data source. From small to wide range of organizations, business sectors and industries, it is extensively useful to measure the performance with the course of time. With the use of Power BI, which is of one of the most advanced tool of data analytics, the College Placement Report for the CSE department is designed. This report covers each detail of the students being placed each year and provides a better way of analyzing the ratio of placement being made year by year on an organizational level.

Uncertainty in knowing and communicating affect all aspects of modern life. Ubiquitous and inevitable uncertainty, including ambiguity and paradox, is particularly salient and important in knowledge building communities. Because knowledge building communities represent and evolve knowledge explicitly, the causes, effects, and approaches to this "epistemological indeterminacy" can be directly addressed in knowledge building practices. Integral theory's approach (including "methodological pluralism") involves accepting and integrating diverse perspectives in ways that transcend and include them. This approach accentuates the problems of epistemological indeterminacy and highlights the general need to deal creatively with it. This article begins with a cursory analysis of textual dialogs among integral theorists, showing that, while integral theory itself points to leading-edge ways of dealing with epistemological indeterminacy, the knowledge building practices of integral theorists, by and large, exhibit the same limitations as traditional intellectual discourses. Yet, due to its values and core methods, the integral theory community is in a unique position to develop novel and more adequate modes of inquiry and dialog. This text explores how epistemological indeterminacy impacts the activities and products of groups engaged in collaborative knowledge building. Approaching the issue from three perspectives-mutual understanding, mutual agreement, and mutual regard-I show the interdependence of those perspectives and ground them in relation to integral theory's concerns. This article proposes three phases of developing constructive alternatives drawn from the knowledge building field: awareness of the phenomena, understanding the phenomena, and offering some tools (and some hope) for dealing with it. Though here I focus on the integral theory community (or communities), the conclusions of the article are meant to be applicable to any knowledge building community, and especially value-oriented groups who see themselves fundamentally as working together to benefit humanity.

The complexity of life in 21st century society requires new models for leading and managing change. With that in mind, this paper revisits the model for Advanced Change Theory (ACT) as presented by Quinn, Spreitzer, and Brown in their article, "Changing Others Through Changing Ourselves: The Transformation of Human Systems" (2000). The authors present ACT as a potential model for facilitating change in complex organizations. This paper presents a critique of the article and summarizes opportunities for further exploring the model in the light of current trends in developmental and integral theory.

Generalizing the Cramér-von Mises and the Kolmogorov-Smirnov test, different integral statistics based on L p -norms are compared with respect to local approximate Bahadur efficiency. Simulation results corroborate the theoretical findings. Several examples illustrate that goodness-of-fit testing based on L p -norms should receive more attention. It is shown that, given a distribution function F 0 and a specific alternative, one can draw the plot of efficiency as a function of p and determine the value of p giving the maximum efficiency.

In this introduction to Integral Review's inaugural issue, we explain the meaning we give to the title of this electronic journal which is open-access, both refereed and peer-reviewed, and why that meaning is important for us in today's world. The draft of the basic article, which was intensely discussed among the members of the editorial committee, was written by Sara Ross and Reinhard Fuhr, 1 and following it, other members of the editorial committee added their personal emphases in reference to the integral paradigm as well as their (critical) evaluation of the premises made in the basic article. Thus Thomas Jordan offers a set of categories and criteria for integral qualities which turned out to be most important in practice and evaluation processes. Michel Bauwens makes distinctions about the multi-perspectival nature of the integral paradigm, points out ways to avoid four different kinds of reductionism, and highlights layers of awareness. Russ Volckman emphasizes the connection between the diversity of worldviews and methodologies, which allow us to also integrate recent developments in behavioral approaches in his professional field of organization and leadership development. Jonathan Reams emphasizes the new, transcendent quality of an integral approach that enables us to use different qualities of "reflection" flexibly and -as we have a meta-framework of human perceptions and values -to recognize everybody's truth and feel compassionate with it. We then close with a discussion of the relationship between Integral Review and the mission of its non-profit publisher, ARINA, Inc.

As a powerful way to help understand the behaviors of people and socialgroupings of all kinds, developmental stage theory attracts attention and use outside ofpurely academic environments. These uses take the form of written materials and manykinds of interventions. The level of accuracy of developmental theory informationgenerated and used outside of academe demonstrates wide variety. This variety isreflected in materials and interventions. The information used in materials andinterventions becomes increasingly distorted as it becomes further removed from originaltheoretical sources. This has major implications for the ethics and expertise issues that areinherent in applied developmental theory. A classification scheme of information-usebehaviors, many of which contribute to distortion processes, is used to code actual casesof creating and disseminating distorted developmental theory information, invoking themetaphor of telephone games. Case evidence indicates that casual, illustra...

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In reviewing a book like this, I realize there are many challenges. It is a business book, yet there is extensive theory incorporated into it. Written for a mainstream business audience, it also brings anticipation to those looking for adult development work to get a stronger foothold into society. The authors aim high, intending to set a new benchmark for leadership development work. So there can be intense scrutiny of how the argument is put together. In this review, I attempt to give voice to all of these tensions as I weave my way through conveying my impressions of it.

Abstract: this paper reviews the general philosophy underlying the transdisciplinary research in the Evolution, Complexity and Cognition (ECCO) group. The ECCO conceptual framework is based on an ontology of action: the fundamental constituents of reality are seen as actions and the agents that produce them. More complex phenomena are conceived as selforganizing networks of interacting agents that evolve to become increasingly complex, adaptive and intelligent systems. The resulting worldview allows us ...

Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

The following paper chronicles the evolution of the author's thinking on leadership through the course of his work experience. Leadership is viewed as a dynamical process involving both formal and informal roles. The process is initiated as an individual identifies opportunities and feels pulled to respond to emerging patterns and initiate action to enable positive change. The dynamics between formal and informal leadership structures and leadership as a state of mind are discussed.

Russia is enigmatic mystery. It is full of paradoxes, contrasts, and opposites, a kind of simultaneous divergence of the opposites and coincidentia oppositorum, the country of both dissociation-fragmentation and the thirst for wholeness, healing, and transcendence.

Thus, if both reductionism and integralism are related meaning-making approaches, each one not better than the other, that seek to capture the big data of human life in a schematic manner then the lesson of this exercise is not in the content these approaches produce but rather in the significance of the approach itself. In other words, the significance here is not in what exactly is the essence of being human, but rather in the insight that to be human is to necessarily have an approach that defines what being human is all about through self-reflection. Thus, humans in being human use a variety of approaches to talk about what it means to be human.

The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which can be easily computed from three-term recurrence relations. It is noticed that such approaches are equivalent to the one established by the Gauss quadrature formula and it can be seen that the coefficients in the quadrature formula can be given as a function of the coefficients in the recurrence relations. An analysis of the relative error percentages in the approximations is also presented.

This article tells the story of the Swiss NGO "Integrale Politik (ip)" founded by about 20 people in November 2007 with the aim of becoming a regular political party at a later stage (www.integrale-politik.ch). We wish to make ip's concepts and approaches known to a wider public. Inspired by integral thinkers such as Jean Gebser and Ken Wilber, ip develops its own ideas and interpretations of integral in view of the concrete challenges of Swiss and European politics.Integral political culture is understood, for example, as including practices addressing all senses, turning political commitment into an experience of meaningful activity and an expression of joy, ease and celebrating life. One of the most important challenges currently faced by the group is to perpetuate and further develop this working culture as the organization grows. Its success in doing this seems to be one of the main reasons for ip's attractiveness to the Swiss cultural creative sector in gener...

I propose a reading of social, political and discursive change in Soviet and post-Soviet Russia which is inspired by an integral, above all developmental perspective. In view of explaining Russia's current political trajectory, I make several arguments. First, I claim that Russian politics are still to a large extent determined by the effects of a threefold crisis of sense-making. Neither the collapse of the Soviet empire, nor the question of how to define democratic government nor the lack of a resilient national identity have so far been resolved and re-appropriated in a transformative manner. Second, I try to show how this affects various aspects and dimensions of Russian politics. Third, I engage in a brief overview of a number of adult development models, asking to what extent and how the characteristics of consciousness development, particular stage characteristics, and the general logics and dynamics of successful and unsuccessful development these models describe can be ...

Integral imaging is a technique capable of displaying images with continuous parallax in full natural colour. This paper presents a modified multi-baseline method for extracting depth information from unidirectional integral images. The method involves first extracting sub-images from the integral image. A sub-image is constructed by extracting one pixel from each micro-lens rather than a macro-block of pixels corresponding to a micro-lens unit. A new mathematical expression giving the relationship between object depth and the corresponding sub-image pair displacement is derived by geometrically analyzing the three-dimensional image recording process. A correlation-based matching technique is used to find the disparity between two sub-images. In order to improve the disparity analysis, a modified multi-baseline technique where the baseline is defined as the distance between two corresponding pixels in different sub-images is adopted. The effectiveness of this modified multi-baseline technique in removing the mismatching caused by similar patterns in object scenes has been proven by analysis and experiment results. The developed depth extraction method is validated and applied to both photographic and computer generated unidirectional integral images. The depth estimation solution gives a precise description of object thickness with an error of less than 1.0% from the photographic image in the example.

For certain cyclic cubic fields k, we verified that Iwasawa invariants λ 3 (k) vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.

We revisit the Cauchy problem for the time-fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order b 2 ð0; 2. By using the Fourier-Laplace transforms the fundamentals solutions (Green functions) are shown to be high transcendental functions of the Wright-type that can be interpreted as spatial probability density functions evolving in time with similarity properties. We provide a general representation of these functions in terms of Mellin-Barnes integrals useful for numerical computation.

We present a new joint longitudinal and survival model aimed at estimating the association between the risk of an event and the change in and history of a biomarker that is repeatedly measured over time. We use cubic B-splines models for the longitudinal component that lend themselves to straightforward formulations of the slope and integral of the trajectory of the biomarker. The model is applied to data collected in a long term follow-up study of HIV infected infants in Uganda. Estimation is carried out using MCMC methods. We also explore using the deviance information criteria, the conditional predictive ordinate and ROC curves for model selection and evaluation.

For many people the meaning of their lives is derived through consumerism. Hence, any shift from a consumer to a conserver society is often met with both resistance as well as denial. However, as subsystems of the larger social and biophysical systems we are progressively being forced to change the way we live and consume. What has been referred to as ‘affluenza ’ is an addictive condition whereby many are substituting their true needs with addictive behaviors. This article explores the parallels between addiction and unsustainable growth, as well as highlights the growing trend where people are creatively redefining growth.

El artículo presenta la experiencia de 11 personas coordinadoras de las escuelas normales
superiores de Colombia (ENS) que participaron en el Diplomado en Innovación Social Educativa. El
objetivo que se persigue es indagar sobre la percepción que tienen acerca del liderazgo educativo
desde los valores y la innovación. La metodología que se emplea es la sistematización de experiencias,
con un enfoque cualitativo que articula la investigación descriptiva y el método de investigación
y análisis documental. Los hallazgos resultan del análisis conceptual, comparativo y relacional de
los aportes de las 11 personas líderes-coordinadoras de las Escuelas Normales Superiores, donde
se identificaron algunos aspectos que caracterizan al sujeto líder integral educativo innovador
como alguien que contribuye a la solución de los problemas socioeducativos, a partir de respuestas
situadas en el territorio y una pertenencia que integra las diferentes esferas de la experiencia vital.
Ello supone priorizar, desde un marco axiológico, el diálogo, la solidaridad y el asumir la tensión
y el conflicto como parte del aprendizaje continuo. Igualmente se identifican que el territorio, los
proyectos educativos y el fortalecimiento de competencias de carácter comunitario se constituyen
en aspectos que hacen de un sujeto líder integral educativo innovador alguien capaz de conjugar las
metodologías propias de la comunidad a partir del conocimiento profundo de los propios problemas.

A new multivariate Archimedean copula estimation method is proposed in a non-parametric setting. The method uses the so-called Geometrically Designed splines (GeD splines) to represent the cdf of a random variable W θ , obtained through the probability integral transform of an Archimedean copula with parameter θ . Sufficient conditions for the GeD spline estimator to possess the properties of the underlying theoretical cdf, K (θ, t), of W θ , are given. The latter conditions allow for defining a three-step estimation procedure for solving the resulting non-linear regression problem with linear inequality constraints. In the proposed procedure, finding the number and location of the knots and the coefficients of the unconstrained GeD spline estimator and solving the constraint least-squares optimisation problem are separated. Thus, the resulting spline estimatorK (θ, t) is used to recover the generator and the related Archimedean copula by solving an ordinary differential equation. The proposed method is truly multivariate, it brings about numerical efficiency and as a result can be applied with large volumes of data and for dimensions d ≥ 2, as illustrated by the numerical examples presented. Crown

In the present study it is discussed how the moment problem naturally arose within Stieltjes' creation of the analytical theory of continued fractions. Further it is shown how the moment problem in the work of Hamburger came to be regarded as an important problem in its own right. From then on it moved away from its origin into other fields of mathematics--complex function theory and functional analysis--in the work of Nevanlinna and M. Riesz respectively. In the end it was made completely independent from continued fractions.

RESUMO: O presente trabalho tem por objetivo realizar uma análise teórica do tema da liderança integral, com o intuito de refletir sobre suas possíveis aplicações práticas, na elaboração de uma metodologia voltada ao desenvolvimento de lideranças. Coloca-se ênfase na abordagem integral proposta por Ken Wilber e por autores que procuraram utilizar seu modelo teórico no contexto organizacional, mais especificamente no que diz respeito ao desenvolvimento de lideranças. O trabalho baseia-se na premissa de que não existe um modelo ideal de líder, assim como não existe uma abordagem de desenvolvimento de lideranças que seja porta-voz de todas as verdades. A abordagem integral, enquanto se propõe a ser um mapa, procura levar em consideração todas as teorias de desenvolvimento de lideranças como complementares, identificando a real contribuição de cada uma dentro do modelo de desenvolvimento integral. Assim, surge um novo modelo de desenvolvimento de lideranças que não assume mais um modelo ideal, mas emprega os pontos fortes e fracos de cada tipo dentro de um sistema de complementaridades, no qual o desenvolvimento da liderança é um processo de cocriação coletiva, também entendido como um fenômeno social, que sugere o nascimento de um novo conceito: o da "Interliderança"

A new method for the numerical evaluation of f(l-x)"xsf(x)J,,(ax) d x is proposed, where LX, /I, v, a are given constants, and J, is the Bessel function of the first kind and of order v. It is assumed that f is a smooth function. The method is based on approximation of the function f by a polynomial given in the form of a linear combination of the shifted Jacobi polynomials RpB+'), and on the use of Chebyshev series expansion for the function J,(ax).

Let f : M → R m+1 be an isometrically immersed hypersurface. In this paper, we exploit recent results due to the authors in [4] to analyze the stability of the differential operator L r associated with the r-th Newton tensor of f. This appears in the Jacobi operator for the variational problem of minimizing the r-mean curvature H r. Two natural applications are found. The first one ensures that, under a mild condition on the integral of H r over geodesic spheres, the Gauss map meets each equator of S m infinitely many times. The second one deals with hypersurfaces with zero (r + 1)-mean curvature. Under similar growth assumptions, we prove that the affine tangent spaces f * T p M , p ∈ M , fill the whole R m+1 .

Este trabalho é uma interlocução entre ensino fundamental e ensino médio integrado. Foi desenvolvido a partir da percepção da necessidade de construir uma perspectiva territorial em que cada segmento assuma a responsabilidade de preparar os estudantes para operar no nível de complexidade que a etapa seguinte demanda. O presente artigo aborda um projeto piloto em que foi aplicada metodologia ativa durante dois anos acompanhando a mesma turma no 4° e 5° anos do ensino fundamental da rede pública municipal. Os pressupostos epistemológicos diferenciados permitiram ressignificar o espaço e a relação formativa proporcionando enraizamento, identificação, desenvolvimento de competências e volição. Partindo do lugar da prole da classe trabalhadora, a experiência comprovou que é possível atuar no sistema de educação formal sem reproduzir o modelo de desigualdades condicionadas por estruturas pedagógicas que marginalizam exigindo que o estudante se adapte a ela ao invés dela retratar a singularidade dos contextos. Sintetizado pelo neologismo, "qualicidade", a experiência demonstrou ser viável a gênese de uma escola em que a formação de qualidade, por ser integral, configura um processo de cultivo de felicidade individual e coletiva. Palavras-chave: Metodologia ativa. Complexidade. Concreto. Qualidade. Integral.