2007 Sonia Kovalevsky Math for Girls Day Featured Workshop: Knot Theory

2nd Annual Lincoln University Sonia Kovalevsky Math for Girls Day featured workshop by Mrs. Bernadette Turner on the topic of knot theory.

Do You Have To Be Religious To Find Meaning In Life

Featured Speaker

No Meaning Without God

Commentator: Bruce Ballard (Lincoln University)

O derramamento do Espírito : fortalecimento dos enfraquecidos

Esta tese se insere dentro da leitura bíblica latino-americana trazendo, nessa ótica, a riqueza e o desafio do que significa ler a Bíblia a partir de um contexto de opressão como é o nosso continente. Nos servimos do roteiro das ciências bíblicas e dos métodos exegéticos modernos. É uma pesquisa bibliográfica onde, eventualmente, consideramos o nível experiêncial, por exemplo quando trabalhamos o tema do derramamento do Espírito nos pentecostais chilenos. Esse capítulo, IV, segue o roteiro da hipótese central de nossa tese na medida que firmamos o princípio de que os pentecostais fazem parte do amplo e diverso grupo dos enfraquecidos como produto de um sistema excludente, baseado na exploração social. Numa situação de crise, o anúncio do derramamento do Espírito é um sinal de salvação, de perspectivas futuras, de conservação e prolongação da vida. Esta tese relê o tema do derramamento do Espírito, a partir de Jl 3,1-5. O tema é analisado num contexto social concreto, onde os enfraquecidos recebem o Espírito do Senhor. O eixo que nos permite fazer esta leitura encontra sua referencial nas pessoas setores sociais - mencionadas como beneficiadas diretas da ação do Espírito. São pessoas que representam setores diferentes; jovens, escravos e escravas, formam o grupo que sustenta e faz funcionar o sistema imperial persa grego - baseado na exploração e mão de obra barata. Eles, juntamente com os idosos que não produzem mais, são a base de sustentação da pirâmide social. Como demostraremos no decorrer da tese, nossa hipótese somente é possível se duas conjunturas se cruzam. Para isso, em num primeiro momento, localizamos e demostramos que o livro de Joel deve ser situado no contexto da literatura apocalíptica (nascimento). Em seguida, demonstramos que o livro de Joel, como produto literário final, deve ser localizado no contexto histórico do pós-exílio, isto é, no tempo dos impérios persa e grego. A confirmação destes dois aspectos desenvolvidos nos capítulos I e II, nos permitem, na análise literária, capítulo III, aprofundar, mediante a análise exegética, e confirmar a nossa hipótese central. Com estes três capítulos demostramos que o derramamento do Espírito do Senhor tem como destinatários preferenciais, senão exclusivos, os setores enfraquecidos pela política social, econômica e religiosa dos impérios persa e grego. Com estes três capítulos desenvolvidos, no quarto capítulo analisamos uma experiência concreta, de um setor majoritariamente pobre que tem se apropriado do texto de Jl 3,1-5, e encontrado nele uma alternativa social, política e religiosa para se manter fiel ao Senhor e por quase um século recria e revive a experiência do derramamento do Espírito. Os velhos, os jovens, os escravos e as escravas, formam o setor dos enfraquecidos. É o setor que nada espera, e que nada terá da parte dos impérios e que, como os pentecostais, pela sua situação de enfraquecimento, acredita que somente uma intervenção externa pode mudar o seu futuro, pode trazer de volta a esperança. Essa intervenção externa começa a ser possível pelo derramamento do Espírito e se concretiza na chegada do dia de Javé, que será grande e terrível, onde o sol e a lua se unem para indicar o monte de Sião e a cidade de Jerusalém como lugar de adoração, refúgio e salvação. Esta perspectiva da ação do Espírito é possível somente no período do pós-exílio. Nesse tempo o Espírito adquire uma dimensão ampla e inclusiva agindo sobre diversos setores sociais, independe de serem ou não judeus.(AU)

A unified theory of carcinogenesis based on order–disorder transitions in DNA structure as studied in the human ovary and breast

Fourier transform-infrared/statistics models demonstrate that the malignant transformation of morphologically normal human ovarian and breast tissues involves the creation of a high degree of structural modification (disorder) in DNA, before restoration of order in distant metastases. Order–disorder transitions were revealed by methods including principal components analysis of infrared spectra in which DNA samples were represented by points in two-dimensional space. Differences between the geometric sizes of clusters of points and between their locations revealed the magnitude of the order–disorder transitions. Infrared spectra provided evidence for the types of structural changes involved. Normal ovarian DNAs formed a tight cluster comparable to that of normal human blood leukocytes. The DNAs of ovarian primary carcinomas, including those that had given rise to metastases, had a high degree of disorder, whereas the DNAs of distant metastases from ovarian carcinomas were relatively ordered. However, the spectra of the metastases were more diverse than those of normal ovarian DNAs in regions assigned to base vibrations, implying increased genetic changes. DNAs of normal female breasts were substantially disordered (e.g., compared with the human blood leukocytes) as were those of the primary carcinomas, whether or not they had metastasized. The DNAs of distant breast cancer metastases were relatively ordered. These findings evoke a unified theory of carcinogenesis in which the creation of disorder in the DNA structure is an obligatory process followed by the selection of ordered, mutated DNA forms that ultimately give rise to metastases.

Game theory and reciprocity in some extensive form experimental games

We examine decision making in two-person extensive form game trees using nine treatments that vary matching protocol, payoffs, and payoff information. Our objective is to establish replicable principles of cooperative versus noncooperative behavior that involve the use of signaling, reciprocity, and backward induction strategies, depending on the availability of dominated direct punishing strategies and the probability of repeated interaction with the same partner. Contrary to the predictions of game theory, we find substantial support for cooperation under complete information even in various single-play treatments.

Ultrasonic tagging of light: Theory

A theory is provided for the detection efficiency of diffuse light whose frequency is modulated by an acoustical wave. We derive expressions for the speckle pattern of the modulated light, as well as an expression for the signal-to-noise ratio for the detector. The aim is to develop a new imaging technology for detection of tumors in humans. The acoustic wave is focused into a small geometrical volume, which provides the spatial resolution for the imaging. The wavelength of the light wave can be selected to provide information regarding the kind of tumor.

A theory for controlling cell cycle dynamics using a reversibly binding inhibitor

We demonstrate, by using mathematical modeling of cell division cycle (CDC) dynamics, a potential mechanism for precisely controlling the frequency of cell division and regulating the size of a dividing cell. Control of the cell cycle is achieved by artificially expressing a protein that reversibly binds and inactivates any one of the CDC proteins. In the simplest case, such as the checkpoint-free situation encountered in early amphibian embryos, the frequency of CDC oscillations can be increased or decreased by regulating the rate of synthesis, the binding rate, or the equilibrium constant of the binding protein. In a more complex model of cell division, where size-control checkpoints are included, we show that the same reversible binding reaction can alter the mean cell mass in a continuously dividing cell. Because this control scheme is general and requires only the expression of a single protein, it provides a practical means for tuning the characteristics of the cell cycle in vivo.

Permanence or change? The meaning of genetic variation

Selected aspects of the evolutionary process and more specifically of the genetic variation are considered, with an emphasis in studies performed by my group. One key aspect of evolution seems to be the concomitant occurrence of dichotomic, contradictory (dialect) processes. Genetic variation is structured, and the dynamics of change at one level is not necessarily paralleled by that in another. The pathogenesis-related protein superfamily can be cited as an example in which permanence (the maintenance of certain key genetic features) coexists with change (modifications that led to different functions in different classes of organisms). Relationships between structure and function are exemplified by studies with hemoglobin Porto Alegre. The genetic structure of tribal populations may differ in important aspects from that of industrialized societies. Evolutionary histories also may differ when considered through the investigation of patrilineal or matrilineal lineages. Global evaluations taking into consideration all of these aspects are needed if we really want to understand the meaning of genetic variation.

Evolutionary theory predicts late-life mortality plateaus

Most demographic data indicate a roughly exponential increase in adult mortality with age, a phenomenon that has been explained in terms of a decline in the force of natural selection acting on age-specific mortality. Scattered demographic findings suggest the existence of a late-life mortality plateau in both humans and dipteran insects, seemingly at odds with both prior data and evolutionary theory. Extensions to the evolutionary theory of aging are developed which indicate that such late-life mortality plateaus are to be expected when enough late-life data are collected. This expanded theory predicts late-life mortality plateaus, with both antagonistic pleiotropy and mutation accumulation as driving population genetic mechanisms.

The elasticity and failure of fluid-filled cellular solids: Theory and experiment

We extend and apply theories of filled foam elasticity and failure to recently available data on foods. The predictions of elastic modulus and failure mode dependence on internal pressure and on wall integrity are borne out by photographic evidence of distortion and failure under compressive loading and under the localized stress applied by a knife blade, and by mechanical data on vegetables differing only in their turgor pressure. We calculate the dry modulus of plate-like cellular solids and the cross over between dry-like and fully fluid-filled elastic response. The bulk elastic properties of limp and aging cellular solids are calculated for model systems and compared with our mechanical data, which also show two regimes of response. The mechanics of an aged, limp beam is calculated, thus offering a practical procedure for comparing experiment and theory. This investigation also thereby offers explanations of the connection between turgor pressure and crispness and limpness of cellular materials.

The Theory of Everything

We discuss recent developments in our understanding of matter, broadly construed, and their implications for contemporary research in fundamental physics.

Field theory in superfluid 3He: What are the lessons for particle physics, gravity, and high-temperature superconductivity?

There are several classes of homogeneous Fermi systems that are characterized by the topology of the energy spectrum of fermionic quasiparticles: (i) gapless systems with a Fermi surface, (ii) systems with a gap in their spectrum, (iii) gapless systems with topologically stable point nodes (Fermi points), and (iv) gapless systems with topologically unstable lines of nodes (Fermi lines). Superfluid 3He-A and electroweak vacuum belong to the universality class 3. The fermionic quasiparticles (particles) in this class are chiral: they are left-handed or right-handed. The collective bosonic modes of systems of class 3 are the effective gauge and gravitational fields. The great advantage of superfluid 3He-A is that we can perform experiments by using this condensed matter and thereby simulate many phenomena in high energy physics, including axial anomaly, baryoproduction, and magnetogenesis. 3He-A textures induce a nontrivial effective metrics of the space, where the free quasiparticles move along geodesics. With 3He-A one can simulate event horizons, Hawking radiation, rotating vacuum, etc. High-temperature superconductors are believed to belong to class 4. They have gapless fermionic quasiparticles with a “relativistic” spectrum close to gap nodes, which allows application of ideas developed for superfluid 3He-A.

The vibrational energy flow transition in organic molecules: Theory meets experiment

Most large dynamical systems are thought to have ergodic dynamics, whereas small systems may not have free interchange of energy between degrees of freedom. This assumption is made in many areas of chemistry and physics, ranging from nuclei to reacting molecules and on to quantum dots. We examine the transition to facile vibrational energy flow in a large set of organic molecules as molecular size is increased. Both analytical and computational results based on local random matrix models describe the transition to unrestricted vibrational energy flow in these molecules. In particular, the models connect the number of states participating in intramolecular energy flow to simple molecular properties such as the molecular size and the distribution of vibrational frequencies. The transition itself is governed by a local anharmonic coupling strength and a local state density. The theoretical results for the transition characteristics compare well with those implied by experimental measurements using IR fluorescence spectroscopy of dilution factors reported by Stewart and McDonald [Stewart, G. M. & McDonald, J. D. (1983) J. Chem. Phys. 78, 3907–3915].