Split Form Research Articles

Finiteness of 3D higher spin gravity Landscape

Abstract We give Swampland constraints on the three dimensional Landscape of Anti-de Sitter higher spin gravity in the Chern-Simons formulation with connection valued in various split real forms of Lie algebras. We derive the finiteness conjecture by computing the upper bound on the rank of possible gauge groups then we refine it using the AdS distance conjecture. We discuss the implications of this Swampland constraint on the spectrum of higher spin gravity theories and we compare it with the gravitational exclusion principle required from BTZ black hole consideration to excerpt a constraint on the Chern-Simons level k.

Adaptation of the Low Dissipation Low Dispersion Scheme for Reactive Multicomponent Flows on Unstructured Grids Using Density-Based Solvers

Abstract The low dissipation low dispersion (LD2) second-order accurate scheme is effective for scale-resolving simulations in finite volume computational fluid dynamics (CFD) solvers, thanks to its combination of a skew-symmetric split form for convective terms and matrix-valued artificial dissipation fluxes. However, reactive flow simulations face challenges due to steep gradients and varying gas properties. This study replaces the skew-symmetric scheme with the kinetic energy and entropy preserving (KEEP) scheme, utilizing quadratic and cubic split forms for convective terms, enhancing stability. The nonsmooth fluid interfaces in reactive flow simulations necessitate upwind fluxes for reactive scalars to limit total variation (TV), also requiring upwind fluxes for the mixture-dependent internal energy fluxes. Other convective terms use central discretizations from the KEEP scheme, leveraging LD2’s spatial reconstruction to minimize dispersive errors. Numerical assessments show this approach reduces spurious pressure oscillations in single and multicomponent flows. The absolute flux Jacobian for dissipation flux calculation is efficiently computed using an expanded Turkel’s approach for thermally perfect gas mixtures. Partial pressure derivatives are approximated when using the flamelet generated manifolds (FGM) combustion model. The proposed scheme is evaluated through scale-resolving simulations of the Cambridge burner flame SWB1 on an unstructured grid using the density-based solver TRACE, employing both finite rate chemistry (FRC) and FGM combustion models. Comparative analysis with the all-speed SLAU2 scheme shows the superior performance of the proposed scheme in handling turbulent reactive multicomponent flows.

EXCEPTIONAL SIMPLE REAL LIE ALGEBRAS AND VIA CONTACTIFICATIONS

Abstract In Cartan’s PhD thesis, there is a formula defining a certain rank 8 vector distribution in dimension 15, whose algebra of authomorphism is the split real form of the simple exceptional complex Lie algebra $\mathfrak {f}_4$ . Cartan’s formula is written in the standard Cartesian coordinates in $\mathbb {R}^{15}$ . In the present paper, we explain how to find analogous formulae for the flat models of any bracket generating distribution $\mathcal D$ whose symbol algebra $\mathfrak {n}({\mathcal D})$ is constant and 2-step graded, $\mathfrak {n}({\mathcal D})=\mathfrak {n}_{-2}\oplus \mathfrak {n}_{-1}$ . The formula is given in terms of a solution to a certain system of linear algebraic equations determined by two representations $(\rho ,\mathfrak {n}_{-1})$ and $(\tau ,\mathfrak {n}_{-2})$ of a Lie algebra $\mathfrak {n}_{00}$ contained in the $0$ th order Tanaka prolongation $\mathfrak {n}_0$ of $\mathfrak {n}({\mathcal D})$ . Numerous examples are provided, with particular emphasis put on the distributions with symmetries being real forms of simple exceptional Lie algebras $\mathfrak {f}_4$ and $\mathfrak {e}_6$ .

A Pre-splitting Green’s Function based Hybrid Fast Algorithm for Multiscale Problems

Based on the splitting form of the Green’s function, a hybrid fast algorithm is proposed for efficient analysis of multiscale problems. In this algorithm, the Green’s function is a priori split into two parts: a spectrally band-limited part and a spatially localized part. Then, the fast Fourier transforms (FFT) utilizing the global Cartesian grid and the matrix compression method aided by an adaptive octree grouping are implemented for these two parts, respectively. Compared with the traditional methods which only employ the FFT for acceleration, the proposed hybrid fast algorithm is capable of maintaining low memory consumption in multiscale problems without compromising time cost. Moreover, the proposed algorithm does not need cumbersome geometric treatment to implement the hybridization, and can be established in a concise and straightforward manner. Several numerical examples discretized with multiscale meshes are provided to demonstrate the computational performance of proposed hybrid fast algorithm.

Analysis of Local Bifurcations in One-Dimensional Systems

This article delves deeper into the study of local bifurcation in maps, although only in the context of a single dimension. The various local bifurcation types common to one-dimensional maps each have their own specific conditions that must be fulfilled. An object divides into two when it bifurcates. After a bifurcation, a family of one-parameter functions retains its stable or cyclic point structure. A bifurcation in the iterative process happens when a parameter is altered, causing a qualitative change in behavior. The phenomena of local splitting can be induced by adjusting just one parameter. Both the norm form of the transcritical split and the stability of the saddle node are highlighted. As with supercritical and subcritical bifurcations, the stability of the pitchfork bifurcation is assessed, as is its norm form. Jagannath University Journal of Science, Volume 10, Number II, Dec. 2023, pp. 108-123

Analisis Trading Volume Activity dan Abnormal Return Sebelum dan Sesudah Stock Split pada Perusahaan yang Listing di BEI Tahun 2019-2022

This study was conducted with the aim of seeing the difference in trading volume activity (TVA) and abnormal stock returns before and after the stock split on issuers listed on the Indonesia Stock Exchange for the 2019-2022 period. This research uses a quantitative approach, with the type of research being an event study. The event study analysis period was carried out with an observation period of 5 days before the stock split, 1 day after the stock split, and 5 days after the stock split, so that the number of research periods was 11 days. The population in this study was 380, while the sample used was 34 issuers. The sampling method used is purposive sampling. This study used a secondary type of data source, where the entire data was obtained from the official website or website of the Indonesia Stock Exchange (IDX). The variables used are independent variables in the form of stock splits, as well as dependent variables in the form of TVA and abnormal returns. Meanwhile, the data collection techniques used in this study are literature studies and documentation studies. The test results for the TVA variable using the Wilcoxon signed-rank test showed that there was a difference in TVA before and after the stock split action by the issuer. Meanwhile, testing for abnormal return variables using paired sample t-tests, shows the results that there is a difference in abnormal stock returns both before and after the stock split action by issuers.

Comparison of two peroxidases with high potential for biotechnology applications – HRP vs. APEX2

Peroxidases are essential elements in many biotechnological applications. An especially interesting concept involves split enzymes, where the enzyme is separated into two smaller and inactive proteins that can dimerize into a fully active enzyme. Such split forms were developed for the horseradish peroxidase (HRP) and ascorbate peroxidase (APX) already. Both peroxidases have a high potential for biotechnology applications. In the present study, we performed biophysical comparisons of these two peroxidases and their split analogues. The active site availability is similar for all four structures. The split enzymes are comparable in stability with their native analogues, meaning that they can be used for further biotechnology applications. Also, the tertiary structures of the two peroxidases are similar. However, differences that might help in choosing one system over another for biotechnology applications were noticed. The main difference between the two systems is glycosylation which is not present in the case of APX/sAPEX2, while it has a high impact on the HRP/sHRP stability. Further differences are calcium ions and cysteine bridges that are present only in the case of HRP/sHRP. Finally, computational results identified sAPEX2 as the systems with the smallest structural variations during molecular dynamics simulations showing its dominant stability comparing to other simulated proteins. Taken all together, the sAPEX2 system has a high potential for biotechnological applications due to the lack of glycans and cysteines, as well as due to high stability.

«Союз Сары Вагенкнехт – благоразумие и справедливость» и раскол левой партийной оппозиции в ФРГ: кризис или обновление?

The paper is devoted to the emergence of a new German political party “Sarah Wagenknecht Union – Reason and Justice” (party “SWU”). The relevance of the study lies in the fact that the stated scientific problematic is of particular interest in the context of the current geopolitical situation, which dictates the need to take into account the positions of new groups through the prism of Russian national and foreign policy interests. The object of this study is the political party “SWU”. The aim of the research is to view the new party and the political consequences of its emergence for the left-wing party opposition. To attain the goal comparative and structural-genetic methods were used, allowing us to trace the dynamics of formation and development of left-wing groups in united Germany. The research tasks include the analysis of the political and ideological prerequisites for the SWA emergence; a study of the organizational and structural features of its formation; the identification of the political consequences of a new grouping both for the left-wing party opposition and the party system as a whole. The research results embrace the reasons for the emergence of the party “SWU”; the origins of the internal conflict in the Left party which led to the formation of a new political grouping; the program settings of the SWA and its electoral prospects; the consequences of the formation of a new party both for left-wing political forces and the party system as a whole. The research conclusions underline the following ideas. The emergence of a new party on the German political scene such as the party “SWU” marks a new stage in the development of both the left movement and its party system as a whole. For the Left, this means that the phase of their consolidation has been replaced by a phase of disintegration, which has taken the form of a party split. For the German party system, the creation of the party “SWU” can have two consequences. On the one hand, the emergence of a new left-wing party indicates further fragmentation and pluralization of the political system. On the other hand, it is becoming obvious that the impact of existing parties, primarily the “Alternative for Germany” and the “Left” is decreasing. For the “Left”, the activity of the party “SWU” is an existential threat and may lead to its disappearance as a pan-German parliamentary grouping. The prospects for the influence of the party “SWU” is related to the relevance of the political agenda that the new party will offer to voters as well as to its organizational stability.

An extension of De Giorgi class and applications

We present an extension of the classical De Giorgi class, and then we show that functions in this new class are locally bounded and locally Hölder continuous. Some applications are given. As a first application, we give a regularity result for local minimizers u:Ω⊂R4→R4 of a special class of polyconvex functionals with splitting form in four dimensional Euclidean spaces. Under some structural conditions on the energy density, we prove that each component uα of the local minimizer u belongs to the generalized De Giorgi class, then one can derive that it is locally bounded and locally Hölder continuous. Our result can be applied to polyconvex integrals whose prototype is∫Ω(∑α=14|Duα|p+∑β=16|(adj2Du)β|q+∑γ=14|(adj3Du)γ|r+|det⁡Du|s)dx with suitable p,q,r,s≥1. As a second application, we consider a degenerate linear elliptic equation of the form−div(a(x)∇u)=−divF, with 0<a(x)≤β¯<+∞. We prove, by virtue of the generalized De Giorgi class, that any weak solution is locally bounded and locally Hölder continuous provided that 1a(x) and F(x) belong to some suitable locally integrable function spaces. As a third application, we show that our theorem can be applied in dealing with regularity issues of elliptic equations with non-standard grow conditions.

Composite anisogrid lattice toroidal shell: Application to a load-carrying rim of the spacecraft reflectarray antenna

A novel design of the composite transformable/foldable rim of the spacecraft reflectarray antenna is presented in the paper. The rim is made in the form of anisogrid lattice toroidal shell split into six parts that are jointed using hinges containing helical springs. The springs create the moments required to deploy the antenna in orbit. A dielectric flexible flat membrane with reflective radiating elements generating a radio signal with required directivity is stretched on the rim. An algorithm of the finite-element model generation is developed for the toroidal rim using a typical finite-element unit cell of lattice structure. The lattice toroidal shell is modelled as a three-dimensional frame composed of curvilinear ribs. The results of design analysis of the lattice rim delivering a minimal mass to its structure subject to constraints imposed on the fundamental frequency, values of stress, and the buckling load factor are presented in this work. The corresponding set of design parameters of lattice structure, including the angle of orientation of helical ribs, number of helical ribs of one orientation, and size of the ribs’ cross section are identified based on these results.

Potassium Fertilization and Application Time for Wheat Yield Improvement in Cambisols of Enderta Districts, South Eastern, Tigray

Recently the government of Ethiopia has introduced potassium as fertilizer through the introduction of various K containing blended fertilizers. However, the optimum application rate and time of application on specific crop and soil type has not been studied yet. So, a field experiment was conducted to determine the optimum rate of potassium and its application time for wheat yield and yield components in Cambisols of Enderta district South Eastern zone of Tigray. The experiment was laid out in Randomized Complete Block Design with 4 levels of potassium (0, 40, 60 and 80 of K2O kg/ha) with and without split application including control in three replications. Results depicted that except harvest index all the yield and yield components of wheat were influenced by potassium fertilization. Moreover, split application of K significantly affected the yield and yield components of wheat as compared to single application of full dose of K. In line with this, the highest grain and straw yields of wheat were obtained at 80 kg/ha K2O levels and statistically similar with the split application levels of 40 and 60 kg/ha K2O. This implies that the 40 kg/ha K2O at split application is economically feasible (optimum) level of K for wheat production in the Cambisols of the area studied. The highest agronomic efficiency and partial factor productivity were also obtained at the level of 40 kg/ha K2O in split forms. Hence, potassium fertilization is important and should be applied in split methods rather than at full single dose at planting for increasing wheat yield and improving agronomic efficiency and partial factor productivity in the Cambisols of Enderta districts.

OPTIMAL HEDGE RATIO OF SUKUK AND ISLAMIC EQUITY: A NOVEL APPROACH

This research applies a novel model to compute a hedge ratio. Specifically, the model modifies volatility forecasts of an exponentially weighted moving average method to account for the fat-tailed distribution of returns. This simpler model aims to overcome the widely-known drawback of the complex GARCH models that a long daily return period is required to ensure the model’s convergence. The data are Islamic exchange-traded funds: SP Funds Dow Jones Global Sukuk ETF, Wahed FTSE USA Shariah ETF, and iShares MSCI EM Islamic UCITS ETF. Sukuk act as a diversifier over the turmoil period since they are positively correlated with Islamic equity and their volatility is less than that of Islamic equity. This work also implements widely-used methods such as Dynamic Equicorrelation-GARCH, GO-GARCH, asymmetric DCC-GARCH, naïve approach, and linear regression. Two forms of data splitting and a rolling-window analysis are carried out to reduce data mining bias. All models generate one-step ahead forecasts of hedge ratios. Applying wavelet-transformed returns and utility analysis incorporating third and fourth moments, the proposed models produce better performance than the competing models. The results remain the same irrespective of different hedging instruments (precious metals) and asset classes.

Effect of Foliar Application of some Macro and Micronutrients on the Growth and Yield of Maize

Abstract: Maize is the most cultivated cereal crop in Ghana and plays a significant role in consumer diets. An ideal way of improving yield is through the use of balanced macro and micronutrient doses. Fertilizers supplied through soils are subjected to leaching, fixation, surface runoff, erosion, volatilization, extremely high or low pH render nutrients unabsorbable by plants. Foliar application of fertilizer supplies nutrients directly to the stomata and cuticle of the leaves which saves time and increases yield as proposed by crop physiologist. The experiment was designed as a multi-location study comprising eight treatments. These treatments were evaluated in a Randomized Complete Block Design (RCBD) with three replications. The experiment was conducted at the experimental field of University for Development Studies, Nyankpala (9° 24’ 39’’ N, 0° 59’ 2’’ W 170 m) and Kpaliga (9° 26’ 44’’ N, 0° 57’ 58’’ W 170 m) in the Northern region of Ghana. Application of nitrogen in a split form has the ability to broaden the leaf surface area to receive the foliar applied micronutrients. However, increasing nitrogen at basal application and reducing it at top dressing (NP2K treatments) stands a better chance of broadening the leaf surface area. The general progression of leaf area index could be attributed to the adequate supply of macronutrients. NP2K+[P+Zn+Fe] produced the highest grain yield. There was significant difference between foliar zinc and control (NP2K). Maize plants responded to foliar application of phosphorus, zinc and iron, but not in terms of yield differences. It will be needful to repeat this experiment since the drought affected the response of maize to foliar applied fertilizer to yield. Socio economic analysis should be done to show whether the increment in grain yield will compensate for the cost of application of foliar fertilizer.

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In this paper, the A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory, an extension of F-theory, is described as a fully U-duality covariant brane theory. This theory has some distinguishing features not known from world-sheet models. In particular, seen as a sigma model, both world-volume and target space coordinates are specific representations of the same group (the U-duality group). The U-duality group in question is an exceptional group (a split form of the Ed series). The structure of this group allows it to encompass both the T-duality group of string theory as well as the general linear symmetry group of M\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{M} $$\\end{document}-theory. A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory is defined by the current algebras in Hamiltonian formalism, or by world-volume actions in Lagrangian formalism. The spacetime coordinates are selfdual gauge fields on the world-volume, requiring the Gauß law constraints tying the world-volume to spacetime. Solving the Gauß law constraints/the Virasoro constraints gives the world-volume/spacetime sectioning from A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory to T\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{T} $$\\end{document}-theory/M\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{M} $$\\end{document}-theory respectively. The A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory Lagrangian admits extended symmetry which has not been observed previously in the literature, where the background fields include both the spacetime and the world-volume gravitational fields. We also constructed the four-point amplitude of A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory in the low energy limit. The amplitude is written in a way that the U-duality symmetry is manifest, but after solving the section condition, it reduces to the usual four-graviton amplitude.In the previous papers, we have referred to this model as F-theory, however, F-theory initiated by Vafa is now a big branch of string theory as the study of elliptic fibrations, so we refer to these constructions as generalized models of theory for all dimensions with all duality symmetries as A\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{A} $$\\end{document}-theory.

Decoupling the complexities of air-conditioning cooling energy use in express hotels by data mining approaches

The air-conditioning (AC) energy use in express hotels is stochastic with the high coupling relationships amongst AC usage, indoor temperature and energy consumption. Such complexities and stochasticity make it hard to facilitate energy saving with clear effect on indoor environment. However, lacking analyses of high-resolution occupants’ energy use makes it difficult to achieve such goals due to the split form of ACs and various thermal comfort of guests in express hotels. Therefore, this study made a serial analysis on the AC energy use in a more detailed scope. The stochastic AC usage, indoor temperature and AC energy consumption were quantified by proposed typical patterns with the cluster method. The stochasticity was described by four typical patterns for each aspect. After the quantifications, the relationships amongst these three aspects were decoupled by the proposed energy use decoupling model. Two data mining methods, namely, random forest method and decision tree method, were employed to achieve this purpose, respectively. With these models, the impacts of each variable on AC energy consumption and explicit relationships of operation rules for management are presented. Strictly limiting set point temperature higher than 23°C is the effective way to save energy for most of AC usage patterns. This study can provide a deeper understanding of AC energy use in express hotels, and benefits energy saving and facility operation in express hotels.

Clivage au Moi à l’adolescence : du retrait social à la menace de perte du lien au monde interne

ObjectiveThe aim of this article is to re-examine the concept of ego splitting proposed by R. Roussillon in the psychopathological and psychoanalytical fields, based on a clinical case of a teenage hikikomori. In a conceptual approach, our article addresses a specific form of splitting which, beyond a vision, only focuses on its defensive and deficient aspects, can also be understood as a first form of self-appropriation. It then becomes a part of a process of identity construction. MethodBased on a qualitative analysis of several clinical interviews with an adolescent, this article aims to demonstrate the extent to which the therapeutic encounter setting in a Care Center, with the support of virtual mediation, can allow for the reappropriation of some parts of the self that were initially split off. Additionally, a conceptual exploration of ego splitting, notably through the notion of verwerfung as well as the reading of a profound splitting proposed by S. Ferenczi, allows us to better understand its manifestations, depending on whether it is seen as a developmental need or a psychopathological disorder. ResultThe developmental stakes associated with ego splitting in adolescents are multiple. Sometimes very similar to a peritraumatic dissociation, ego splitting illustrates the subject's defenses when faced with an event which the psyche cannot deal with, and thus severs an entire part of his subjectivity. It is also about the experience of the newly pubescent body and the adolescent's rejection of it, which was emphasized in the concept of developmental breakdown. Finally, it can lead to a form of withdrawal or social isolation such as with the hikikomori disorder, and certainly other outcomes depending on the subject's evolution. In all cases, this evolution remains uncertain. If different forms of psychopathology can manifest themselves, ego splitting however can signify a form of self-immersion, in an attempt to reappropriate certain painful or unsymbolized elements from his past history. DiscussionThere is a type of splitting, which is not only a defense that can lead to feelings of fragmentation and derealization in the worst-case scenarios. It can also be inscribed in the borderline process of identity construction, a form of temporary dissociation of the patient, or schize, allowing parts of the self to return in a sort of retroactive loop, as an informer of the current state of the ego. In adolescence, this process is particularly active, due to the integration of the newly pubescent body. Either the subject, depending on his psychoaffective maturation, will enquire about the ongoing processes in progress in his inner world (his phantasmatic life, integration of the sexual body, etc.); or the splitting reduction takes place through a receptive and transformational function of the object, aligning this process with a form of “crossed” intersubjectivity. ConclusionThinking about the subject, especially during in his teenage years, as he encounters forms of dissociations which are not only the expression of a vulnerability, allows us to maintain a clinical vision which supports a potential for growth, a resilient capacity of the ego. The way we consider different outcomes of ego splitting in this article supports a dynamic approach of the psychological functioning, which places the subject in a continuum between what is normal and what is pathological. Splitting of the ego, as a borderline process, allows for a different reading of the underlying stakes of the contemporary expression of narcissistic and identity-related suffering. It also gives a dynamic perspective to what is usually a nosographic approach.

The enigma of transference. Freud’s discovery and its repercussions

ABSTRACT This brief introduction gives an historical outline of the development of the concept of transference in the different psychoanalytic traditions. It goes back to the various meanings of the German term “Übertragung” – transference, transcription, transmission, transposition and assignment – and how they were accentuated by the different psychoanalytic schools. The paper depicts the transition from a mainly intrapsychic understanding of transference as repetition to a more bipersonal and intersubjective approach exploring the different meanings of “intersubjectivity” and the forces that operate within the analytic field. Major developments arose from a new understanding of the role of the analyst’s countertransference and the detection of transference mechanisms in narcissistic, borderline and psychotic states. The exploration of different forms of splitting and projective and introjective identification deepened the understanding of the analytic communication and led to concepts like “acting in”, role-responsiveness, “actualization” and “enactment”. As the author tries to show, all these approaches can find a legitimization in Freud’s original writings, but the main differences concern technical issues, i.e. the interpretation of transference.

Analysis on lethality characteristics of shell-split warheads under explosive loads

Case cutting has been demonstrated as a means of warhead self-destruction, but few studies have analyzed it in detail. Based on the self-destruction of ammunition, the effect of warhead shell split including the shell fragmentation and scattering characteristics driven by charge detonation were studied. The results show that by cutting and splitting the shell of the warhead, the shell driven by the charge detonation can be hardly broken, and scatter in the form of large-size shell splits. The velocity of fragments speed decreases quickly, and the killing density is significantly reduced. The research results in this paper can provide a reference to the design and analysis on self-destruction of the warhead.

Promoter G-Quadruplex Binding Styryl Benzothiazolium Derivative for Applications in Ligand Affinity Ranking and as Ethidium Bromide Substitute in Gel Staining.

Fluorescent compounds that can preferentially interact with certain nucleic acids are of great importance in new drug discovery in a multitude of functions including fluorescence-based displacement assays and gel staining. Here, we report the discovery of an orange emissive styryl-benzothiazolium derivative (compound 4) which interacts preferentially with Pu22 G-quadruplex DNA among a pool of nucleic acid structures containing G-quadruplex, duplex, and single-stranded DNA structures as well as RNA structures. Fluorescence-based binding analysis revealed that compound 4 interacts with Pu22 G-quadruplex DNA in a 1:1 DNA to ligand binding stoichiometry. The association constant (Ka) for this interaction was found to be 1.12 (±0.15) × 106 M-1. Circular dichroism studies showed that the binding of the probe does not cause changes in the overall parallel G-quadruplex conformation; however, signs of higher-order complex formation were seen in the form of exciton splitting in the chromophore absorption region. UV-visible spectroscopy studies confirmed the stacking nature of the interaction of the fluorescent probe with the G-quadruplex which was further complemented by heat capacity measurement studies. Finally, we have shown that this fluorescent probe can be used toward G-quadruplex-based fluorescence displacement assays for ligand affinity ranking and as a substitute for ethidium bromide in gel staining.

Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime

In recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explicit symplectic integrator for surveying the dynamics of test particles in a magnetized Reissner–Nordström spacetime. In addition to computational efficiency, the scheme exhibits good stability and high precision for long-term integration. From the global phase-space structure of Poincaré sections, the extent of chaos can be strengthened when energy E, magnetic parameter B, or the charge q become larger. On the contrary, the occurrence of chaoticity is weakened with an increase of electric parameter Q and angular momentum L. The conclusion can also be supported by fast Lyapunov indicators.