Mathematics for the practical engineer. Engineers' study course from Power; a mathematical manual for the power plant engineer. Contains simplified lessons for home-study in fractions, ratio and proportion, percentage, involution and evolution, square root, cube root, formulas, logarithms, mensuration and plane trigonometry,

Mode of access: Internet.

Mémorie sur la théorie de l'involution et de l'homographie unicursale.

Mode of access: Internet.

Beiträge zur kenntnis der involution des normalen uterus der ziege ...

Lebenslauf.

Evolution versus involution. A popular, exposition of the doctrine of true evolution, a refutation of the theories of Herbert Spencer, and a vindication of theism.

Errata on second preliminary leaf.

A victim of its own success: Internationalization, neoliberalism, and organizational involution at the Business Council of Australia

The focus of this article is on the Business Council of Australia (BCA), an association of the CEOs of the 100 or so largest companies operating in Australia. Since its inception the BCA has been an influential supporter of largely successful efforts to neoliberalize and internationalize the Australian economy. Running in parallel with these developments, however, the BCA has moved from being a "somewhat strong" to a relatively weak policy organization. This article argues these two trends are causally related. Neoliberal-inspired economic restructuring and economic internationalization have weakened the "logic of membership" and the "logic of influence" of the BCA, leading to a process of organizational involution. Furthermore, potential offsets to what I describe as the organizational predations of neoliberalism and internationalization - especially via a willingness or capacity to forge supportive or mutualistic relations with the state - have not been realized.

Involution Matrix Algebras – Identities and Growth

2000 Mathematics Subject Classification: 16R50, 16R10.

Analysis of human breast milk cells: gene expression profiles during pregnancy, lactation, involution, and mastitic infection

The molecular processes underlying human milk production and the effects of mastitic infection are largely unknown because of limitations in obtaining tissue samples. Determination of gene expression in normal lactating women would be a significant step toward understanding why some women display poor lactation outcomes. Here, we demonstrate the utility of RNA obtained directly from human milk cells to detect mammary epithelial cell (MEC)-specific gene expression. Milk cell RNA was collected from five time points (24 h prepartum during the colostrum period, midlactation, two involutions, and during a bout of mastitis) in addition to an involution series comprising three time points. Gene expression profiles were determined by use of human Affymetrix arrays. Milk cells collected during milk production showed that the most highly expressed genes were involved in milk synthesis (e.g., CEL, OLAH, FOLR1, BTN1A1, and ARG2), while milk cells collected during involution showed a significant downregulation of milk synthesis genes and activation of involution associated genes (e.g., STAT3, NF-kB, IRF5, and IRF7). Milk cells collected during mastitic infection revealed regulation of a unique set of genes specific to this disease state, while maintaining regulation of milk synthesis genes. Use of conventional epithelial cell markers was used to determine the population of MECs within each sample. This paper is the first to describe the milk cell transcriptome across the human lactation cycle and during mastitic infection, providing valuable insight into gene expression of the human mammary gland.

Dynamic changes in high and low mammographic density human breast tissues maintained in murine tissue engineering chambers during various murine peripartum states and over time

Mammographic density (MD) is a strong heritable risk factor for breast cancer, and may decrease with increasing parity. However, the biomolecular basis for MD-associated breast cancer remains unclear, and systemic hormonal effects on MD-associated risk is poorly understood. This study assessed the effect of murine peripartum states on high and low MD tissue maintained in a xenograft model of human MD. Method High and low MD human breast tissues were precisely sampled under radiographic guidance from prophylactic mastectomy specimens of women. The high and low MD tissues were maintained in separate vascularised biochambers in nulliparous or pregnant SCID mice for 4 weeks, or mice undergoing postpartum involution or lactation for three additional weeks. High and low MD biochamber material was harvested for histologic and radiographic comparisons during various murine peripartum states. High and low MD biochamber tissues in nulliparous mice were harvested at different timepoints for histologic and radiographic comparisons. Results High MD biochamber tissues had decreased stromal (p = 0.0027), increased adipose (p = 0.0003) and a trend to increased glandular tissue areas (p = 0.076) after murine postpartum involution. Stromal areas decreased (p = 0.042), while glandular (p = 0.001) and adipose areas (p = 0.009) increased in high MD biochamber tissues during lactation. A difference in radiographic density was observed in high (p = 0.0021) or low MD biochamber tissues (p = 0.004) between nulliparous, pregnant and involution groups. No differences in tissue composition were observed in high or low MD biochamber tissues maintained for different durations, although radiographic density increased over time. Conclusion High MD biochamber tissues had measurable histologic changes after postpartum involution or lactation. Alterations in radiographic density occurred in biochamber tissues between different peripartum states and over time. These findings demonstrate the dynamic nature of the human MD xenograft model, providing a platform for studying the biomolecular basis of MD-associated cancer risk. © 2013 Springer Science+Business Media New York.

Real Theta Characteristics And Automorphisms Of A Real Curve

Let X be a geometrically irreductble smooth projective cruve defined over R. of genus at least 2. that admits a nontrivial automorphism, sigma. Assume that X does not have any real points. Let tau be the antiholomorphic involution of the complexification lambda(C) of X. We show that if the action of sigma on the set S(X) of all real theta characteristics of X is trivial. then the order of sigma is even, say 2k and the automorphism tau o (sigma) over cap (lambda) of X-C has a fixed point, where (sigma) over cap is the automorphism of X x C-R defined by sigma We then show that there exists X with a real point and admitting a nontrivial automorphism sigma, such that the action of sigma on S(X) is trivial, while X/ not equal P-R(1) We also give an example of X with no real points and admitting a nontrivial automorphisim sigma such that the automorphism tau o (sigma) over cap (lambda) has a fixed point, the action of sigma on S(X) is trivial, and X/ not equal P-R(1)

A Numerical Scheme for Three-Dimensional Front Propagation and Control of Jordan Mode

As an example of a front propagation, we study the propagation of a three-dimensional nonlinear wavefront into a polytropic gas in a uniform state and at rest. The successive positions and geometry of the wavefront are obtained by solving the conservation form of equations of a weakly nonlinear ray theory. The proposed set of equations forms a weakly hyperbolic system of seven conservation laws with an additional vector constraint, each of whose components is a divergence-free condition. This constraint is an involution for the system of conservation laws, and it is termed a geometric solenoidal constraint. The analysis of a Cauchy problem for the linearized system shows that when this constraint is satisfied initially, the solution does not exhibit any Jordan mode. For the numerical simulation of the conservation laws we employ a high resolution central scheme. The second order accuracy of the scheme is achieved by using MUSCL-type reconstructions and Runge-Kutta time discretizations. A constrained transport-type technique is used to enforce the geometric solenoidal constraint. The results of several numerical experiments are presented, which confirm the efficiency and robustness of the proposed numerical method and the control of the Jordan mode.

First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems

An n degree-of-freedom Hamiltonian system with r (1¡r¡n) independent 0rst integrals which are in involution is calledpartially integrable Hamiltonian system. A partially integrable Hamiltonian system subject to light dampings andweak stochastic excitations is called quasi-partially integrable Hamiltonian system. In the present paper, the procedures for studying the 0rst-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems are proposed. First, the stochastic averaging methodfor quasi-partially integrable Hamiltonian systems is brie4y reviewed. Then, basedon the averagedIt ˆo equations, a backwardKolmogorov equation governing the conditional reliability function, a set of generalized Pontryagin equations governing the conditional moments of 0rst-passage time and their boundary and initial conditions are established. After that, the dynamical programming equations and their associated boundary and 0nal time conditions for the control problems of maximization of reliability andof maximization of mean 0rst-passage time are formulated. The relationship between the backwardKolmogorov equation andthe dynamical programming equation for reliability maximization, andthat between the Pontryagin equation andthe dynamical programming equation for maximization of mean 0rst-passage time are discussed. Finally, an example is worked out to illustrate the proposed procedures and the e9ectiveness of feedback control in reducing 0rst-passage failure.

Topographic changes in nascent and early mesoderm in amphioxus embryos studied by Dil labeling and by in situ hybridization for a Brachyury gene

In amphioxus embryos, the nascent and early mesoderm (including chorda-mesoderm) was visualized by expression of a Brachyury gene (AmBra-2). A band of mesoderm is first detected encircling the earliest (vegetal plate stage) gastrula sub-equatorially. Soon thereafter, the vegetal plate invaginates. resulting in a cap-shaped gastrula with the mesoderm localized at the blastoporal lip and completely encircling the blastopore. As the gastrula stage progresses, DiI (a vital dye) labeling demonstrates that the entire mesoderm is internalized by a slight involution of the epiblast into the hypoblast all around the perimeter of the blastopore. Subsequently. during the early neurula stage, the internalized mesoderm undergoes anterior extension mid-dorsally (as notochord) and dorsolaterally (in paraxial regions when segments will later form). By the late neurula stage, AmBra-2 is no longer transcribed throughout the mesoderm as a whole; instead. expression is detectable only in the posterior mesoderm and in the notochord, but not in par axial mesoderm where definitive somites have formed.

"The Black Imprint of Sandals in White Mosaic Floors": H.D.'s Mythomystical Poetics

My dissertation examines the traces of inverse (mytho)mysticism, more synchronous with mythical alchemy than transcendent mystery, in H.D.’s mature work (1946-1961). Whereas H.D.’s earliest works respond to a fin de siècle occultism and a collective psyche troubled by the eschatological distress that, as Susan Acheson writes, “was widespread amongst modernist writers grappling with …world events and with the implications of Nietzsche’s inaugural annunciation of modernity in terms of the death of God” (187), her later oeuvre is dedicated to the same work of soul undertaken by the “secret cult of Night” in Vale Ave. Here, her thematic scope faces two ways: backward to ancient Greek mystery cults and their palingenesic rites and forward to depth psychologists searching for the Soul of the World. Vale Ave plays a pronounced role in my study as symbolic guide; in its seventy-four sequences the layering of time in the “trilogy” of past, present, and future that H.D. had explored during the years of the Second World War in order to get behind the fallen walls of cause and effect collapses into two distinct phases of human origin—“meeting” (evolution) and “parting” (involution)—and the poem invites Lilith and Lucifer to be its archetypal guides. My method for the study is imaginal, entering such disciplines as history, philosophy, and theology and bringing psychological understanding to them. John Walsh’s introduction to Vale Ave notes H.D.’s theme “that the human psyche exists in a dimension outside of time and space as well as within them. In Vale Ave, H.D. presents the extremity of this dual-dimensionality: metempsychosis” (vii). However, the concept that H.D. investigates is more than a literary processus of characters who adopt different masks and appear at various junctures in a chronological unwinding of history. I explore H.D.'s works as part of a Modernist tradition of writing “books of the dead” designed not to guide the soul after death, but to draw the gaze upon “a nearer thing,” as H.D. writes in Erige Cor Tuum Ad Me In Caelum, the wisdom intrinsic in the spirit of life itself.

Unitary SK1 of unitary and graded division algebras

The reduced unitary Whitehead group $\SK$ of a graded division algebra equipped with a unitary involution (i.e., an involution of the second kind) and graded by a torsion-free abelian group is studied. It is shown that calculations in the graded setting are much simpler than their nongraded counterparts. The bridge to the non-graded case is established by proving that the unitary $\SK$ of a tame valued division algebra wih a unitary involution over a henselian field coincides with the unitary $\SK$ of its associated graded division algebra. As a consequence, the graded approach allows us not only to recover results available in the literature with substantially easier proofs, but also to calculate the unitary $\SK$ for much wider classes of division algebras over henselian fields.

Repressive desublimation and the great refusal in Bret Easton Ellis's fiction

In 1968, Herbert Marcuse believed that a Great Refusal was possible, one that would deny the exploitative power of corporate capitalism. Marcuse's vision was never realised. This essay argues that society today is in an advanced state of that which the Frankfurt School termed repressive desublimation and questions whether a liberationary praxis is still possible. It claims that Bret Easton Ellis's fiction choreographs an internalising of the forms of critique that marked 1968 and about which Marcuse writes. It is Ellis's act of double voicing that allows him to develop a duplicitous recalcitrant voice within the state of assimilation and it is double voicing which emerges as the key technique in Ellis's work that effects an ongoing critique in commodity society. Looking at Slavoj iek's recent revisionism of the notion of repressive desublimation, which connects Marxism and psychoanalysis, the essay considers how Ellis's novels, American Psycho, Glamorama and Lunar Park, function to address and reconfigure the relationship between the status of the Marxist fetishised object and the psychoanalytic phobic object in the present-day era of late capitalism. This essay seeks to illuminate how Ellis's fiction, through an involution of Marcuse's political theories, enacts a contemporary refusal from within the state of reification.