Graphical Description Research Articles

Almost all even-particle pure states are determined by their half-body marginals

Abstract Determining whether the original global state is uniquely determined by its local marginals is a prerequisite for some efficient tools for characterizing quantum states. In this paper, we show that almost all generic pure states of even N-particle with equal local dimension are uniquely determined among all pure states (UDP) by four of their half-body marginals. Furthermore, we give a graphical description of the marginals for determining genuinely multipartite entangled states, which leads to several lower bounds on the number of required marginals. Finally, we present a construction of N-qudit states obtained from certain combinatorial structures that cannot be UDP by their k-body marginals for some k ≥ ⌊N/2⌋.

Dynamics of dissipative gravitational collapse in the Morris–Thorne wormhole metric: One scenario - several outcomes

We consider the dynamical Morris–Thorne metric with radiating heat flow. By matching the interior Morris–Thorne metric with an exterior Vaidya metric we trace out the collapse solutions for the corresponding spherically symmetric inhomogeneous distribution of matter. The solutions obtained are broadly of four different types, giving different end state dynamics. Corresponding to three of the solutions we elaborate the collapsing dynamics of the Morris–Thorne type evolving wormhole. We show that for all those cases where collapse upto zero proper volume is obtained in finite time, the ensuing singularity is always a black hole type. However our solutions can also show other end states, like oscillating wormhole-black hole pair or infinite time contracting universe or a conformal past matter dominated universe. In all the cases we have worked out the background dynamics and physics of the solution. All our solutions are illustrated with appropriate graphical descriptions.

Regression analysis. At the three-route crossroad

Regression analysis is a rather popular and uncomplicated method of analyzing experimental data. If the results of correlation analysis tell us about the presence of a statistically significant relationship between the studied features, the results of regression analysis represent a graphical description of the nature of this relationship. The article considers the points that authors usually do not pay attention to, but to which the editor should pay attention, and the reviewer simply must do this. Among such points are false predictions, non-Gaussian distribution of residuals, and lack of confidence intervals.

Novel complexiton, rational wave, multi-lumps and the kink solitary wave solutions to the new (3+1)-dimensional integrable fourth-order equation for shallow water waves

In this exploration, we aim to seek a number of new exact solutions to the new (3+1)-dimensional integrable fourth-order nonlinear equation, which is widely used to describe the shallow water waves. Employing the Cole-Hopf transformation, we develop its bilinear form. Then, taking advantage of the ansatz function method, a new functional form is utilized to probe the singular complexiton solutions. Based on which, the non-singular complexiton solutions are derived by imposing the constraint conditions. In addition, we find the rational wave solutions and multi-lumps solutions wielding the rational function method and new homoclinic method respectively. At the end, we investigate the kink solitary wave solutions using the variational approach that is based on the variational principle and Ritz method. Meanwhile, the Hamiltonian of the system is also elaborated. Correspondingly, the graphic descriptions of the extracted results are presented to unfold their dynamic behaviors through Maple. As we all know, the findings of this paper are firstly reported and can enlarge the exact solutions of the considered PDE.

Discovering our Sun: From the most important god to a mere dwarf star

Abstract This is a graphic description of the Sun as a source of fascination and awe since the very early civilisations with its importance for life and the horror of seeing it disappearing in the middle of the day and how ancient generations followed its movements throughout the year, building clever monuments to mark its rising and setting position on the horizon. The principles of astrology are dealt with and the amazing intuition of ancient Greek philosophers who suggested that the Sun could be a nearby star is admired. The journey ends by placing the Sun amongst the stars in a wonderful confluence of myth, art and science.

TORTURING THE EARTH: MASCULINITY AND VIOLENCE IN COLUMELLA'S DE RE RUSTICA 10.68–74

Writing in the first century ce, Columella delineates farming practice based on personal experience and observation. Roman attitudes towards slavery, truth, and torture are highlighted in a particularly graphic description of preparing the soil for sowing.

Selection of superior Brassica napus L. hybrids by integrated graphical and numerical diallel analysis by yield×traits: Using hayman and biplot diallel approaches

Improving yield via assessment of different yield-related genetic parameters specifically with the challenges of yield × traits combination is a prominent issue for plant breeders. A graphical and numerical description of diallel analysis by yield × traits with the novelty of the parent selection with desirable genetic architecture in rapeseed was illustrated via Hayman and biplot approaches. Eleven divers' parents and their F1 offspring, achieved via a complete diallel mating fashion, were evaluated under field conditions based on randomized complete block design replicated thrice throught 2018–2020. Integrated yield × traits analysis revealed highly significant additive and non-additive gene effects which were confirmed by the meaningful general and specific combining ability of evaluated multi-traits. Graphical Wr-Vr analysis, depicted partial dominance gene action for yield × traits, except yield × thousand grain yield which is governed by over-dominance gene action.The biplot polygon panorama identified the most desirable heterotic parents with higher general and specific combining ability, and more dominant genes including [(P9) × (P4, P6, P10) for yield × pod]; [(P9) × (P7), (P6) × (P11) and (P7) × (P10) for yield × thousand grain yield] and [(P10 × P3) for yield/flowering, yield/physiological maturity, yield/plant height]. These findings suggested that a breeder should consider superior parents with high × high general and specific combining ability according to combining their yield and its related genetic parameters as important traits with all other target characters via descripted approaches.

Constant Stress-Partially Accelerated Life Tests of Vtub-Shaped Lifetime Distribution under Progressive Type II Censoring

In lifetime tests, the waiting time for items to fail may be long under usual use conditions, particularly when the products have high reliability. To reduce the cost of testing without sacrificing the quality of the data obtained, the products are exposed to higher stress levels than normal, which quickly causes early failures. Therefore, accelerated life testing is essential since it saves costs and time. This paper considers constant stress-partially accelerated life tests under progressive Type II censored samples. This is realized under the claim that the lifetime of products under usual use conditions follows Vtub-shaped lifetime distribution, which is also known as log-log distribution. The log–log distribution is highly significant and has several real-world applications since it has distinct shapes of its probability density function and hazard rate function. A graphical description of the log–log distribution is exhibited, including plots of the probability density function and hazard rate. The log–log density has different shapes, such as decreasing, unimodal, and approximately symmetric. Several mathematical properties, such as quantiles, probability weighted moments, incomplete moments, moments of residual life, and reversed residual life functions, and entropy of the log–log distribution, are discussed. In addition, the maximum likelihood and maximum product spacing methods are used to obtain the interval and point estimators of the acceleration factor, as well as the model parameters. A simulation study is employed to assess the implementation of the estimation approaches under censoring schemes and different sample sizes. Finally, to demonstrate the viability of the various approaches, two real data sets are investigated.

Afterbirth and rebirth in 4 Maccabees’ portrait of (wo)manly courage

In 4 Maccabees’ skillfully woven tale of seven brother martyrs and their mother, a rather puzzling phrase appears in the emotionally-charged scene of the mother looking upon the mutilated corpses of her seven sons. The graphic description—burned flesh, severed hands, scalped heads, corpses upon corpses—includes, in most editions of the text, a side reference to the place filled with many spectators because of the children’s torments (4 Macc 15:20; NRSVue). These editions and translations reflect an ancient scribal emendation to the Greek text of Codex Sinaiticus that reads χόριον (afterbirth) as χορίδιον/χωρίδιον/χωρίον (place). What is surprising about this emendation is that it disrupts the focus of the encomium—the mother’s exemplary courage despite seeing the extreme mutilation of her children—whereas the earlier reading, afterbirth, is an apt description of the corpses within the context of the scene and complements the portrayal of the mother’s role throughout the book. This article considers how the erasure of afterbirth in 4 Macc 15:20 obscures the significance of the birthing metaphor in 4 Maccabees’ portrayal of the mother’s role, particularly as it relates to the image of her rebirthing (ἀνατίκτω) her sons into immortality (4 Macc 16:13). Far from a scribal error in need of emendation, afterbirth in 4 Macc 15:20 is a key feature of the birth imagery, which functions in concert with the masculinization of the mother to paint a portrait of her as the embodiment of both masculine and feminine ideals, the ultimate example of Torah piety, and a generative force of immortality.

Framing memories of the dead: the rhetorical work of the memory picture in the deathcare industry

ABSTRACT Rhetorical studies of public memory explore the ways in which memory is made material and how those means condition our own embodiment of memory. One space for this type of rhetorical memory work featured in this essay is the encounter with the corpse during funeral services. While research on funeral rhetoric has been foundational to our understanding of memory and epideixis, we focus on the embodied rhetorics that support and sustain the values we have toward the deceased in the processes of encountering them. We share interviews with deathcare workers and a rhetorical ethnography of the deathcare industry to elaborate on the figurative work and backstage processes that make memorializing the dead possible. We contend that “memory pictures” can be understood as material instantiations of memory that shape the processes of encountering and remembering the dead. This article details phases of encountering the recently deceased body and how the deceased body is made into a corpse to remember and mourn. The phases and technical processes of working with corpses are bluntly described with details about preparing, embalming, and displaying dead bodies. The straightforward and sometimes graphic description of these phases and processes may be disturbing or upsetting for readers.

Chen-Burr XII Model as a Competing Risks Model with Applications to Real-Life Data Sets

In this paper Chen-Burr XII distribution is constructed and graphical description of the probability density function, hazard rate and reversed hazard rate functions of the proposed model is obtained. Also, some statistical characteristics of the Chen-Burr XII distribution are discussed and some new models as sub-models from the Chen-Burr XII distribution are introduced. Moreover, maximum likelihood estimation of the parameters, reliability, hazard rate and reversed hazard rate functions of the Chen-Burr XII distribution are considered. Also, the asymptotic confidence intervals of the distribution parameters, reliability, hazard rate and reversed hazard rate functions are presented. Finally, three real life data sets are applied to prove how the Chen-Burr XII distribution can be applied in real life and to confirm its superiority over some existing distributions.

A Dynamic Tool to Describe Lamb Growth and Its Use as a Decision Support System.

A dynamic model has been developed to simulate aspects of feedlot lamb growth and body composition, including energy and protein requirements, growth rate, composition of gain, and body mass. Model inputs include initial body mass (kg), standard final mass (kg), age (days), and dietary energy concentration (Mcal·kg-1). The model was assessed as a decision support tool using a dataset of 564 individual measures of final body mass and diet energy. The simulations provide graphical and numerical descriptions of nutrient requirements, composition of gain, and estimates of animal performance over time. The model is accurate and precise, with a root mean squared error of 7.79% of the observed final body mass and a coefficient of determination of 0.89 when simulating the same variable. The model can be used as a reliable decision support tool to estimate final body mass and the days on feed required to reach a certain final mass with precision and accuracy. Moreover, the dynamic model can also serve as a learning tool to illustrate practical principles of animal nutrition, nutrient requirement relationships, and body composition changes. This model holds the potential to enhance livestock management practices and assist producers in making informed decisions about feedlot lamb production.

Exact solutions of a hybrid nanofluid model for the flow across a heated stretching cylinder at a stagnation point

We examined the two-dimensional, Stagnation flow across a thermally extending cylinder and identify the precise analytical solutions. As hybrid nanoparticles, Copper (Cu) and Alumina Oxide solid [Formula: see text] particles are employed with base fluid [Formula: see text]. We added nanoparticles of Copper (Cu) and Alumina Oxide solid [Formula: see text] to the water being that its heat permeability is low. The fundamental fluid’s ([Formula: see text]) thermal efficiency has risen as a result. A computational model of stationary point flow through a heated stretching cylinder is constructed using the theory behind the mechanism of the flow strategy. Carefully considered is the interaction between the impinging stagnation flow and the flow produced by stretching the cylinder’s surface. For this fascinating subject, precise analytical solutions are obtained, and the results are also graphically evaluated. The flow picture is evaluated using streams for any indications of evolved flow stretching or impinging stagnation flow dominating under pressure. A thorough investigation of heat transport is also offered, along with a graphical description of the Nusselt number (Nu). When the stretching cylinder has a lower stretching velocity A, an impinging stagnation flow that is more forceful or completely developed is seen for larger values of the approaching flow pressure parameter. When greater approaching pressure P flow values are applied, stagnation flow dominates over stretching flow. A significant portion of stagnation point flow research takes a numerical approach to the subject; nevertheless, in this work, we seek to present a precise solution to the challenge at hand. Behavior of fluid as stream lines and graphs of velocity profile, temperature profiles are plotted by using Mathematica software.

Complexiton, complex multiple kink soliton and the rational wave solutions to the generalized (3 + 1)-dimensional kadomtsev-petviashvili equation

Some new exact solutions of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation (KPE) are explored in this study. Firstly, the resonant multiple soltion solutions (RMSs) are discussed via employing the linear superposition principle and weight algorithm. Then, by introducing pairs of the conjugate parameters to the RMSs, the complexiton solutions including the non-singular complexiton and singular complexiton solutions are extracted. In addition, the complex multiple kink soliton solutions are also probed by employing the bilinear approach. Finally, we investigate the rational wave solutions via the test function method and symbolic computation. By choosing the appropriate parameters, the graph descriptions of the derived solutions are presented to show the dynamical properties. The outcomes of this work are desirous to bring some new perspective to the study of the complexiton, complex solutions and rational wave solutions to the other PDEs.

Inclined magnetic field and joule heat on unsteady ternary nanofluidic flow impinging over a convectively heated cylinder

The present analysis considered the condition of unsteady stagnation point flow on ternary nanofluid [Formula: see text] through the regularly affecting and convective heated stretchable cylinder by the effect on inclining Lorentz force. This influence on thermal radiation, velocity slip, viscous dissipation, and Joule dissipation were again integrated by the analysis. The suitable thermo-physical relationship in the hybrid nanofluid is cultivated into followed Xue form. With the help of appropriate comparison alterations, the controlling dimensional numerical equations were transformed by the dimensionless models. The governing equations are transformed through comparison transformation and mathematically tackled in MATLAB with a boundary value problem algorithm. These mathematical solutions were validated with the presented material. Tabular and graphical descriptions of mathematical information were utilized to analyze the physical effect on different relevant parameters in the ternary nanofluid temperature and velocity. This thermal buoyancy force hikes the fluid flow although the opposite direction was noted in magnetic parameters and velocity slips. This heat transport rate in the surface was enhanced by an improvement in thermal radiation, Biot number, and solid fraction of nanoparticles. Moreover, a 44.9754% enhanced decreased skin friction is observed by triple nanoparticle nanofluid it signifies its best behavior as related to both other nanofluids.

About the Alkemade Theorem and the Limits of its Applicability for the Construction of Ternary Liquidus Surfaces

The Alkemade theorem goes back to a very fundamental paper on the graphical description of thermodynamic equilibrium problems from 1893 (van Rijn van Alkemade in Z Phys Chem 11: 289-327, 1893). It is one of the most helpful implements for the construction of the liquidus surface of ternary phase diagrams. In its original form, it allows to find the direction of falling or increasing temperature along the monovariant reaction lines forming the boundaries of the primary crystallization fields. The theorem is valid for systems with any number of phases; however, its geometrical construction rule is only defined for the case of stoichiometric phases and it is not clear how to apply the theorem in the case of phases with extended homogeneity ranges. Some examples from a ternary, transition-metal-based system containing phases with large homogeneity ranges are presented, and the usefulness and limits of applicability of the theorem are discussed.

Non‐singular complexiton, singular complexiton and complex multiple soliton solutions to the (3 + 1)‐dimensional nonlinear evolution equation

This research mainly concerned with some new solutions of the (3 + 1)‐dimensional nonlinear evolution equation (NEE). First, we extract the resonant multiple soliton solutions (RMSSs) by taking advantage of the linear superposition principle (LSP) and weight algorithm (WA). Then the non‐singular complexiton and singular complexiton solutions are developed by introducing pairs of the conjugate parameters. Besides, the complex multiple‐soliton solutions are also explored with the aid of the bilinear approach. The graph descriptions of the attained solutions are paraded to show the dynamical properties. The outcomes of this work are all new and are desirous to bring some new perspective to the investigation of the complexiton solutions to the other partial differential equations (PDEs).

Graphical Description and Classification of Crystal Structure of Borate Minerals

Graphical Description and Classification of Crystal Structure of Borate Minerals

Nonlinear dynamics of soliton molecules, hybrid interactions and other wave solutions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation

This work plumbs the nonlinear dynamics of the ([Formula: see text])-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation (gKPBe), which is used to describe some interesting physical phenomena in the fields of fluids. The resonance conditions of the soliton molecules on the ([Formula: see text]), ([Formula: see text]) and ([Formula: see text]) planes are investigated and the soliton molecules are obtained on the basis of the N-soliton solutions that are extracted by virtue of the Hirota form. Furthermore, some novel hybrid interactions including the interaction between the soliton and soliton molecule, the interaction between the different soliton molecules are also explored. Finally, the sub-equation approach is exerted to explore the various wave solutions, which include the kinky wave, bright-dark wave and the singular periodic wave solutions. Correspondingly, the graphical descriptions of the attained solutions are drawn to present a better understanding of the physical attributes. The derived solutions can enlarge the exact solutions of the ([Formula: see text])-dimensional gKPBe and lead us to understand the nonlinear dynamic behaviors better.

Contours of Sexuality in Roy’s The God of Small Things

This study aims at analyzing the contours of sexuality, obscenity and incest in Arundhati Roy’s debut novel, The God of Small Things to mark how the novelist deconstructs the naturalized and normalized social, ethical, and cultural values in the Indian society. The illicit relationship between the central character of the novel and a divorced woman, Ammu and the servant of her family, Velutha, the incest between Estha and Rahel, an incident where an old man forces Estha to masturbate, and the sensual affair of Baby Kochamma with Father Mulligan are some of the highly charged obscene details in the novel that invite a keen rationale for the research. The research utilizes the theoretical framework of psychoanalysis and radical feminism that deal with sexuality, feminine sexuality, and sibling incest to observe Roy’s motive for emphasizing on pornographic drives. Both Freudian psychoanalysts and radical feminists deal with the sex overtly taking it as the basic human instinct. The research finding is that Roy emphasizes the graphic description of sexual acts among members of family and different castes to cherish beauty found in ‘small things’, to mystify the mundane, to examine the issues of unethical sex in revolutionary South-Asian societies. It is expected that people interested in researching libidinal issues in Roy in particular, and South-Asian literature in general, can take the paper as a reference.