Spinorial relativistic rotator: The transformation from quasi-Newtonian to Minkowski coordinates

There exists a remarkably close relationship between the operator algebra of the Dirac equation and the corresponding operators of the spinorial relativistic rotator (an indecomposable object lying on a mass-spin Regge trajectory). The analog of the Foldy-Wouthuysen transformation (more generally, the transformation between quasi-Newtonian and Minkowski coordinates) is constructed and explicit results are discussed for the spin and position operators. Zitterbewegung is shown to exist for a system having only positive energies.

Paraxial Maxwell beams: transformation by general linear optical systems

Extending the work of earlier papers on the relativistic-front description of paraxial optics and the formulation of Fourier optics for vector waves consistent with the Maxwell equations, we generalize the Jones calculus of axial plane waves to describe the action of the most general linear optical system on paraxial Maxwell fields. Several examples are worked out, and in each case it is shown that the formalism leads to physically correct results. The importance of retaining the small components of the field vectors along the axis of the system for a consistent description is emphasized.

Kinetics and Mechanism of the Transformation of Vaterite to Calcite

The transformation of vaterite to calcite was investigated systematically. The transition temperature and the energetics of the transformation were determined from differential thermal curves. The variations of lattice constants and crystallite size, accompanying the transformation were studied by X-ray diffractometry. The kinetics of transformation were investigated in the temperature range 460–490°C. The kinetic data were analysed with the help of three separate solid-state models.

Plasmatic Transformation

The session examines the role of the metaphysical and physical in art and animation and how this relates to natural spaces. Soviet Russian film director and theorist Sergei Eisenstein saw animation as possessing an ability called “plasmaticity”, the capacity for a being to assume any conceivable form dynamically. He saw each being as “primordial protoplasm, not yet possessing a ‘stable’ form, but capable of assuming any form” (Eisenstein 1989, 21). He was enamoured by the capacity of animation to transform and be liberated, of being able to escape from a fixed and static identity—to embody a "rejection of the once-­‐and-­‐forever allotted form" in which we are held (Eisenstein 1989, 21). Czech Surrealist animator Jan Švankmajer uses a metaphysical approach based on a belief in animism to art and animation. He believes that objects possess a conscious life or spirit, he says ‘Objects conceal within themselves the events they’ve witnessed. I don’t actually animate objects. I coerce their inner life out of them.’ (Švankmajer in Imre 2009, 214) In this animistic world there are no boundaries or rules, no physical or conceptual restrictions; anything is possible, with inanimate objects and places able to become animate and transact in a conscious relationship with humans and each other. This session invites artists, animators and theorists to discuss their conceptions and approaches to using visuals to promote and provoke transformation.

Formal description, compression and transformation of digital pictures II. Picture algebra and geometry

In an earlier paper (Part I) we described the construction of Hermite code for multiple grey-level pictures using the concepts of vector spaces over Galois Fields. In this paper a new algebra is worked out for Hermite codes to devise algorithms for various transformations such as translation, reflection, rotation, expansion and replication of the original picture. Also other operations such as concatenation, complementation, superposition, Jordan-sum and selective segmentation are considered. It is shown that the Hermite code of a picture is very powerful and serves as a mathematical signature of the picture. The Hermite code will have extensive applications in picture processing, pattern recognition and artificial intelligence.

Formal description, compression and transformation of digital pictures

This paper describes the application of vector spaces over Galois fields, for obtaining a formal description of a picture in the form of a very compact, non-redundant, unique syntactic code. Two different methods of encoding are described. Both these methods consist in identifying the given picture as a matrix (called picture matrix) over a finite field. In the first method, the eigenvalues and eigenvectors of this matrix are obtained. The eigenvector expansion theorem is then used to reconstruct the original matrix. If several of the eigenvalues happen to be zero this scheme results in a considerable compression. In the second method, the picture matrix is reduced to a primitive diagonal form (Hermite canonical form) by elementary row and column transformations. These sequences of elementary transformations constitute a unique and unambiguous syntactic code-called Hermite code—for reconstructing the picture from the primitive diagonal matrix. A good compression of the picture results, if the rank of the matrix is considerably lower than its order. An important aspect of this code is that it preserves the neighbourhood relations in the picture and the primitive remains invariant under translation, rotation, reflection, enlargement and replication. It is also possible to derive the codes for these transformed pictures from the Hermite code of the original picture by simple algebraic manipulation. This code will find extensive applications in picture compression, storage, retrieval, transmission and in designing pattern recognition and artificial intelligence systems.

Firm transformation: Advancing a Darwinian perspective

Purpose of the paper: The paper advocates a Darwinian explanation of the process of firm transformation. Existing, but generally opposing views related to the selection-adaptation debates are united to consider the dialogic nature of both approaches. It is argued that a Darwinian approach, as opposed to a neo-Darwinian or Lamarckian approach provides the means to scale the sides of a debate that has for too long divided scholars interested in firm and industry transformation. Approach: The paper addresses three specific issues to develop its Darwinian argument. Firstly, the various work of Geoff Hodgson that have for many years advanced Darwin's evolutionary ideas are used to argue the nature and application of Darwinism in the socio-economic domain. Secondly, the nature of what constitutes the elements of firm-environment interaction is considered to establish basic areas of focus through which the process of firm transformation is more understandable. Lastly, the construct absorptive capacity is likened to a mechanism of transmission through which the learning processes associated with the acquisition of favoured variations can be reconciled with the generic evolutionary processes of variation, selection, and retention. Findings: To understand the process of firm learning, the role of habits and routines must be outlined in specific detail. They cannot be assumed to perform interacting and replicating roles simultaneously. To do so, undermines the fundamental qualities of an evolutionary theory. What is the original/value of paper: The preliminary framework advanced takes us beyond the Darwinian - Lamarckian debate and provides elements of focus from which a greater understanding of the process of firm/industry transformation is possible.

Kinetics and mechanism of the transformation in antimony trioxide from orthorhombic valentinite to cubic senarmontite

The kinetics of the polymorphic transformation in antimony trioxide from metastable orthorhombic valentinite to cubic senarmontite has been studied in polycrystalline material between 490 and 530°C. Quantitative analysis of the mixtures was done using infrared spectrophotometry. The kinetic data was analyzed and the activation energy for the process was obtained: (i) On the basis of Avrami's equation, which is derived on the basis of a nucleation and growth mechanism; and (ii) from the time required for a constant fraction of the transformation to take place. The values obtained were 50.8 and 46.0 kcal/mole. Observations have also been made on partly transformed single crystals of valentinite using a polarizing microscope. The latter studies and the value of the activation energy suggest that a better understanding of the transformation could be obtained on the basis of a vapor phase mechanism.

Transformation microstructures in a Ti-31A1-13Mo alloy

Some initial results are presented on the formation of the y phase, based on the intermetallic TiA1 (LIo, c/a = 1.02) from the phase, based on the intermetallic TidAl (DOts , c/a = 0.801) in a Ti-31wt. Al-13wt Mo alloy. The study is part of a programme to evaluate microstractures and properties of alloys containing the y phase in the Ti-Mo-AI ternary system.

A differential transformation technique for the analysis of a class of non-linear time varying systems

The scope of the differential transformation technique, developed earlier for the study of non-linear, time invariant systems, has been extended to the domain of time-varying systems by modifications to the differential transformation laws proposed therein. Equivalence of a class of second-order, non-linear, non-autonomous systems with a linear autonomous model of second order is established through these transformation laws. The feasibility of application of this technique in obtaining the response of such non-linear time-varying systems is discussed.

Characterization of small GTPase Cdc42 from the ectomycorrhizal fungus Suillus bovinus and Agrobacterium tumefaciens-mediated transformation of fungi

Ectomycorrhizal formation between the host tree, Pinus sylvestris and fungal symbiont, Suillus bovinus was investigated at the molecular level by isolating genes regulating the organization of the actin cytoskeleton in the fungal partner S. bovinus. An Agrobacterium tumefaciens mediated transformation (ATMT) system was developed for the ectomycorrhizal fungi in order to assign specific functions to the cloned molecules. The developed ATMT system was also used to transform a plant pathogenic fungus, Helminthosporium turcicum, to hygromycin B resistance. Small GTPases Cdc42 and Rac1, the regulators of actin cytoskeleton in eukaryotes were isolated from S. bovinus. Sbcdc42 and Sbrac1, are both expressed in vegetative and in the symbiotic hyphae of S. bovinus . Using IIF microscopy, Cdc42 and actin were co-localized at the tips of vegetative hyphae and were visualized in association with the plasma membrane in swollen cells typical to the symbiotic hyphae. These results suggest that the small GTPases Cdc42 may play a significant role in the polarized growth of S. bovinus hyphae and regulate fungal morphogenesis during ectomycorrhiza formation through reorganization of the actin cytoskeleton. The functional equality of Cdc42 was tested in yeast complementation experiments using a Saccharomyces cerevisiae temperature sensitive mutant, cdc42-1ts. The genomic clone of CDC42 was isolated from S. bovinus genomic DNA via specific primers for Cdc42. The analogous S. cerevisiae cdc42 mutations, dominant active G12V and dominant negative D118A, were generated in the Sbcdc42 gene by in-vitro mutagenesis. The ectomycorrhizal fungi, S. bovinus, P. involutus and H. cylindroporum were transformed using ATMT and phleomycin as a selectable marker. PCR screeing suggested that the T-DNA was inserted in all the three fungal genomes but the fate of integration could not be proved by Southern blot analysis. An alternative Agrobacterium strain, AGL-1 and selection marker, hygromycin was used to transform our model fungus S. bovinus. PCR and Southern analysis suggested an improved efficiency of transformation. All the transformed fungal colonies selected for hygromycin gave positives in PCR and the Southerns showed multiple or single copy T-DNA integrations into the S. bovinus genome. Using the same Agrobacterium strain and the selectable marker, a maize pathogen, H. turcicum was also subjected to ATMT. The H. turcicum transformation data suggested the single copy T-DNA integrations into the genome of the screened transformants that further confirms wider applicability of the ATMT. The plasmids carrying the wild-type (pHGCDC42) and the mutated Sbcdc42 alleles (pHGGV; pHGDA) under Agaricus bisporus gpd promoter were constructed in an A. tumefaciens vector. ATMT was used to transform S. bovinus with the plasmids carrying the wild-type and mutated Sbcdc42 alleles. The isolation of Sbcdc42 and Sbrac1 genes and some other functionally related genes from ectomycorrhizal fungus, S. bovinus will form the basis of future work to resolve the signalling pathway leading to ectomycorrhizal symbiosis. The development of ATMT system will be a valuable tool in analysing the exact function of signalling pathway components in ectomycorrhizal symbiosis or in plant pathogenic interactions. The transformation frequency and broad applicability along with the simplicity of T-DNA integration make Agrobacterium a valuable, new and a powerfull tool for targeted and insertional mutagenesis in these plant associated fungi. The developed ATMT systems should therefore make it possible to generate large number of transformants with tagged genes which could then be screened for their specific roles in symbiosis and pathogenecity, respectively.

Fabrication and Phase Transformation in Crystalline Nanoparticles of PbZrO3 Derived By Sol-Gel

In this research fabrication of crystalline PbZrO3 (PZ) nanoparticles and their phase transformation behavior is investigated. A novel sol-gel method was used for the synthesis of air-stable and precipitate-free diol-based sol of PZ, which was dried at 150 degrees C and then calcined at 300-700 degrees C for 1 h. The morphology, crystallinity and phase formation of as synthesized nanoparticles were studied by the selected-area electron diffraction (SAED), X-ray diffraction (XRD), thermal gravimetric analysis/differential scanning calorimetry (TGA-DSC), and high resolution transmission electron microscope (HRTEM). The XRD, SAED, and TGA-DSC analyses confirmed the tetragonal lead rich zirconia phase (t-Z phase) and monoclinic zirconia phase (m-Z phase) as the intermediate phases during the calcinations process followed by crystallization of single orthorhombic PZ phase at about 700 degrees C. The average PZ particle size was observed about 20 nm as confirmed by TEM study. Energy-dispersive X-ray spectroscopy (EDX) analysis demonstrated that stoichiometric PbZrO3 was formed.

Direct physical evidence for the back-transformation of stress-induced martensite in the vicinity of cracks in pseudoelastic NiTi shape memory alloys

Crack loading and crack extension in pseudoelastic binary NiTi shape memory alloy (SMA) miniature compact tension (CT) specimens with 50.7 at.% Ni (austenitic, pseudoelastic) was investigated using infrared (IR) thermography during in situ loading and unloading. IR thermographic measurements allow for the observation of heat effects associated with the stress-induced transformation of martensite from B2 to BIT during loading and the reverse transformation during unloading. The results are compared with optical images and discussed in terms of the crack growth mechanisms in pseudoelastic NiTi SMAs. Direct experimental evidence is presented which shows that crack growth occurs into a stress-induced martensitic microstructure, which immediately retransforms to austenite in the wake of the crack.

Co(II) and Cr(III) complexes of formate-formamide mixed ligands: synthesis, structures, single crystal-to-single crystal transformation and magnetic behaviour

Solvothermal treatment of an equimolar mixture of Co(NO3)(2)center dot 6H(2)O, HCONH2 and NaN3 in MeOH at 100 degrees C yielded a three-dimensional NaCl type network Co(HCOO)(2)(HCONH2)(2) center dot HCONH2 (1a) containing formamides in the pores of the structure. Solvated pink 1a undergoes single crystal-to-single crystal (SCSC) transformation at 215 degrees C to form the desolvated dark brown product Co(HCOO)(2)-( HCONH2)(2) (1b) with the retention of the original framework. Reversible single crystal-to-single crystal transformation of 1b (brown) to 1a (pink) in the presence of excess formamide was also established at room temperature. The coordination environment around Co(II) in both 1a and 1b is octahedral with a CoN2O4 coordination composition. A similar reaction replacing Co(II) by Cr(III) produced a heterometallic 3D extended network Na[Cr(HCOO)(4)(HCONH2)(2)]center dot 2H(2)O (2a) at 100 degrees C. An increase in reaction temperature to 150 degrees C produced a simple mononuclear complex Cr(HCOO)(3)(HCONH2)(3) center dot 3H(2)O (2b). Variable temperature magnetic studies revealed the presence of a canting phenomena in both 1a and 1b, and hysteresis loop in the field dependent magnetisation plot at 2 K whereas complex 2a is simply paramagnetic in nature.