Philosophical views about the logical structure of time are typically divided between proponents of A and B theories, based on McTaggart's A and B series. Drawing on Paul Ricoeur's hermeneutic phenomenology, I develop and defend McTaggart's thesis that the C series and the A series working together give a consistent description of temporal experience, provided that the two series are treated as distinct dimensions internal to time. In the proposed two-dimensional model, the C series expresses a nesting (...) order of the constitutive states of a world, whereas ontological continuity and change are properties of the A series. This, I argue, allows for limited backward causation. (shrink)

Murray MacBeath, in his essay ``Time's Square'', describes a fictitious scenariowhere various physical observations made by the participants would, he claims, invitethe interpretation that time for them is two-dimensional. In the present paper, however, Iargue that such observations come close to underdetermining the hypothesis of time's twodimensionality;for a rival hypothesis - that, under certain circumstances, the observationscan be explained in terms of the familiar time dilation effects predicted by special relativity- almost fits the evidence as (...) well. That is, under certain (albeit artificial) circumstances theworld can already behave almost as though it were temporally two-dimensional. (shrink)

This paper investigates the question whether we could have reason to believe that time is two-dimensional. I connect discussion of this question to discussion of the question whether we could have reason to believe that there has been a global time freeze.

We introduce a two‐dimensional metric (interval) temporal logic whose internal and external time flows are dense linear orderings. We provide a suitable semantics and a sequent calculus with axioms for equality and extralogical axioms. Then we prove completeness and a semantic partial cut elimination theorem down to formulas of a certain type.

: Concerning time, we have many puzzles, such as what eternity is, how it is related to the passage of time, whether the passage of time is irreversible, whether things past are no longer, whether the future is non-predictable, whether or not the present exists, and so on. This article is an attempt to discuss such experiences of the passage of time. First, a Buddhist practice in the Dzogchen tradition that deals with the experience of the (...) passage of time will be introduced, then Longchenpa’s concept of four times (dus-bzhi) will be analyzed and its significance to the history of Buddhism discussed. Next, Heidegger’s concept of four-dimensional time and its elaboration by later philosophers will be discussed. It will conclude with the similarities and differences between the four-dimensional time theories as found in these two diverse traditions, and the possible reasons for their striking similarities. (shrink)

Principles of chance deference face two kinds of problems. In the first place, they face difficulties with a priori knowable contingencies. In the second place, they face difficulties in cases where you've lost track of the time. I provide a principle of chance deference which handles these problem cases. This principle has a surprising consequence for Adam Elga's Sleeping Beauty Puzzle.

At this point in time the two-dimensional (2D) argument against physicalism is well known (Chalmers 2009; 2010), as are the many responses to it. However there has been a recent development that has yet to be widely discussed. Some philosophers have argued that we have equally compelling reasons to think that dualism is false based on the conceivability of mere physical duplicates which enjoy conscious experience in just the way we do (Martin 1998; Sturgeon 2000; Piccinini 2006; Frankish (...) 2007; Brown 2010; Balog MS). This argument has not yet been properly understood and in this paper I aim to correct the most common misunderstandings. (shrink)

This work is a two-division study of twentieth century philosophies of history in Europe. Fields engaged in the study are transcendental philosophy, speculative metaphysics, theology, historiographical theory, and intellectual history. The main question concerns the historical finitude of History and its temporal horizon. The work explores the unsolved consequences of G.W.F. Hegel's Phenomenology of Spirit and Martin Heidegger's Being and Time in twentieth-century German and French philosophies of History.

This work is a two-division study of twentieth century philosophies of history in Europe. Fields engaged in the study are transcendental philosophy, speculative metaphysics, theology, historiographical theory, and intellectual history. The main question concerns the historical finitude of History and its temporal horizon. The work explores the unsolved consequences of G.W.F. Hegel's Phenomenology of Spirit and Martin Heidegger's Being and Time in twentieth-century German and French philosophies of History.

This article explores the effects of our technological way of war, for the first time driving toward total combatant immunity, on the psyche of combatants and the ethos of a warrior. It is a plea for the preservation of a warrior spirit, or at least a warrior class, that views war in a philosophical and personal manner. The article posits that without a sense of the tragic, without a personal test of will and skill often at great individual risk, (...) we can find no real meaning in war. It argues that the warrior dimension of immunity in warfare has somehow altered our experience of war, yet the effects of this ‘virtual war’ are still ambiguous – we do not yet know whether executing warfare through long-distance video desensitizes the ‘remote warrior’ or enhances his/her experience of killing. We do not yet know how combatants ‘commuting’ to war from home and being transported 7000 miles into battle through this ‘miracle’ of technology will handle the consequences of what the nation is asking them to do. We kn.. (shrink)

Several authors have characterized a striking phenomenon of perceptual learning in visual discrimination tasks. This learning process is selective for the stimulus characteristics and location in the visual field. Since the human visual system exploits symmetry for object recognition we were interested in exploring how it learns to use preattentive symmetry cues for discriminating simple, meaningless, forms. In this study, similar to previous studies of perceptual learning, we asked whether the effects of practice acquired in the discrimination of pairs of (...) shape with a specific orientation of the symmetry axis would transfer to the discrimination of shapes with different orientation of symmetry axis, or to shapes presented in different areas of the visual field. We found that there was no learning transfer between forms with very different axes of symmetry (90° apart). Interestingly, however, we found a transfer of learning effect to horizontally oriented symmetry axis from a condition with an axis of symmetry differing by 45°. Also it appears that some subjects took a longer time to learn than the typical fast learning paradigm would predict. Data showed that when observers practice discrimination of meaningless symmetric forms, consistent improvement in the performance occurs. This improvement is lasting over days, and it tends to be specific for the area of the visual field trained. We will discuss results from some of the observers whose learning was not fast, but who actually improved with more practice and with large time intervals (1 day) between training sessions. (shrink)

ABSTRACT We introduce a two-dimensional temporal logic as a formalism which enables the description of both the history of a world and the evolution of an observer's views about the history. We apply such formalism to the description of certain problems that occur in historical database systems due to updates. The historical dimension describes the history of a world according to an observer's view at a certain moment in time. The transaction dimension describes the evolution of an observer's (...) view; changes can occur in the observer's view of the present and future as well as in his views of the past. The database is seens as an observer of the history of the world. Besides describing the history of the world, the database system can also execute temporal specifications in the form of temporal actions. The two-dimensional formalism is used to describe the effects of updates in the execution of temporal actions. The detection of some problematic effects and its implementation are discussed. (shrink)

We consider a version of so called T x W logic for historical necessity in the sense of R.H. Thomason (1984), which is somewhat special in three respects: (i) it is explicitly based on two-dimensional modal logic in the sense of Segerberg (1973); (ii) for reasons of applicability to interesting fields of philosophical logic, it conceives of time as being discrete and finite in the sense of having a beginning and an end; and (iii) it utilizes the technique (...) of systematic frame constants in order to handle the problem of irreflexivity in tense logics, well known since Gabbay (1981). Axiomatizations are given for two infinite hierarchies of two-dimensional modal tense logics, one without and one with the characteristic operators for historical necessity and possibility. Strong and weak completeness results are obtained for both hierarchies as well as a result to the effect that two approaches to their semantics are equivalent, much in the spirit of Di Maio and Zanardo (1996) and von Kutschera (1997). (shrink)

The computational complexity of finding a shortest path in a two-dimensional domain is studied in the Turing machine-based computational model and in the discrete complexity theory. This problem is studied with respect to two formulations of polynomial-time computable two-dimensional domains: domains with polynomialtime computable boundaries, and polynomial-time recognizable domains with polynomial-time computable distance functions. It is proved that the shortest path problem has the polynomial-space upper bound for domains of both type and type ; and (...) it has a polynomial-space lower bound for the domains of type , and has a #P lower bound for the domains of type. (shrink)

The computational complexity of finding a shortest path in a two-dimensional domain is studied in the Turing machine-based computational model and in the discrete complexity theory. This problem is studied with respect to two formulations of polynomial-time computable two-dimensional domains: domains with polynomialtime computable boundaries, and polynomial-time recognizable domains with polynomial-time computable distance functions. It is proved that the shortest path problem has the polynomial-space upper bound for domains of both type and type ; and (...) it has a polynomial-space lower bound for the domains of type, and has a #P lower bound for the domains of type. (shrink)

The Group Cohesiveness Scale measures patient-rated group cohesiveness. The English version of the scale has demonstrated good psychometric properties. This study describes the validation of the Czech version of the GCS. A total of 369 patients participated in the study. Unlike the original study, the ordinal confirmatory factor analysis supported a two-dimensional solution. The analysis demonstrated the existence of two moderately to highly associated domains of group cohesiveness—affective and behavioral. The two-dimensional model was invariant across genders, age, education, (...) and time up to factor means level. Internal consistency reached satisfactory values for both domains. In terms of convergent validity, only weak association was found between the GCS domains and the group working alliance measured by the Group Outcome Rating Scale. This is the first revision of the factor structure of the GCS in the European context. The scale showed that the Czech version of the GCS is a valid and reliable brief tool for measuring both aspects of group cohesiveness. (shrink)

Este trabalho tem o propósito de apresentar uma concepção republicana de democracia que não é uma democracia participativista nos moldes de Rousseau, que defendeu uma democracia direta, tampouco é uma democracia liberal que resume a participação ao sufrágio. Iremos argumentar que a democracia defendida dentro do republicanismo de Philip Pettit, entendida como democracia bidimensional, por ser ao mesmo tempo eleitoral e contestatória, é não só compatível com a defesa da liberdade, mas, também e, sobretudo, guardiã da mesma.: This paper aims (...) to present a republican conception of democracy is not a democracy direct the lines of Rousseau, who argued for a direct democracy, nor is it a liberal democracy that summarizes the participation of suffrage. We will argue that democracy advocated in Philip Pettit's republicanism, democracy understood as two-dimensional, being at the same time and contestatory election, is not only compatible with the defense of freedom, but also and above all, the same guardian. Key words: Freedom; democracy; republicanism; Philip Pettit. (shrink)

Accurate and rapid defect identification based on pulsed eddy current testing plays an important role in the structural integrity and health monitoring of in-service equipment in the renewable energy system. However, in conventional data-driven defect identification methods, the signal feature extraction is time consuming and requires expert experience. To avoid the difficulty of manual feature extraction and overcome the shortcomings of the classic deep convolutional network, such as large memory and high computational cost, an intelligent defect recognition pipeline based (...) on the general Warblet transform method and optimized two-dimensional DCNN is proposed. The GWT method is used to convert the one-dimensional PECT signal to a 2D grayscale image used as the input of 2D DCNN. A compound method is proposed to optimize the baseline VGG16, a well-known DCNN, from four aspects including reducing the input size, adding batch normalization layer after every convolutional layer and fully connection layer, simplifying the FCs, and removing unimportant filters in Convs so as to reduce memory and computational costs while improving accuracy. Through a pulsed eddy current testing experiment considering interference factors including liftoff and noise, the following conclusion can be obtained. The time-frequency representation obtained by the GWT method not only has excellent ability in terms of the transient component analysis but also is less affected by the reduction of image size; the proposed optimized DCNN can accurately identify defect types without manual feature extraction. And compared to the baseline VGG16, the accuracy obtained by the optimized DCNN is improved by 7%, to about 99.58%, and the memory and computational cost are reduced by 98%. Moreover, compared with other well-known DCNNs, such as GoogLeNet, Inception V3, ResNet50, and AlexNet, the optimized network has significant advantages in terms of accuracy and computational cost, too. (shrink)

This article presents a general conception of aesthetic experience built on an analysis of the relationship between the narrative and the ambient dimensions of the aesthetic value of a natural environment, the forest. First of all, the two dimensions are presented with respect to the possibilities and problems raised by distinguishing between them. Next, the possibilities of their relationship are analysed and it is argued that they are strongly complementary. This complementarity becomes the core of the proposed conception of aesthetic (...) experience, which can explain the difference between the aesthetic and the non-aesthetic, and can also provide an answer to the question of the non-reductive differentiation between the aesthetic experience of nature and the experience of a work of art. The conclusion of the article is mainly concerned to eliminate one of the problems localized in presenting the ambient dimension (the ambience paradox), by means of Ricoeur’s conception of the relationship between time and narrative. (shrink)

Despite the recent progress in the description of the molecular mechanisms of proliferation and differentiation controls in vitro, the regulation of the homeostasis of normal stratified epithelia remains unclear in vivo. Computer simulation represents a powerful tool to investigate the complex field of cell proliferation regulation networks. It provides huge computation capabilities to test, in a dynamic in silico context, hypotheses about the many pathways and feedback loops involved in cell growth and proliferation controls.Our approach combines a model of cell (...) proliferation and a spatial representation of cells in 2D using the Voronoi graph. The cell proliferation model includes intracellular (cyclins, Cyclin Dependent Kinases - CDKs, Retinoblastoma protein - Rb, CDK inhibitors) and extracellular controls (growth and differentiation factors, integrins). The Voronoi graph associates a polygon with every cell and the set of these polygons defines the tissue architecture. Thus, the model provides a quantitative model of extracellular signals and cell motility as a function of the neighborhood during time dependent simulations. (shrink)

This paper begins by asking a simple question: can a farmer own and fully utilise precisely five tractors and precisely six tractors at the same time? Of course not. He can own five or he can own six but he cannot own five and six at the same. The answer to this simple question eventually led this author to Alfred Marshall's historically-ignored, linguistically-depicted 'cardboard model' where my goal was to construct a picture based on his written words. More precisely, (...) in this paper the overall goal is to convert Marshall's ('three-dimensional') words into a three-dimensional picture so that the full import of his insight can be appreciated by all readers. After a brief digression necessary to introduce Euclidean three-dimensional space, plus a brief digression to illustrate the pictorial problem with extant theory, the paper turns to Marshall's historically- ignored words. Specifically, it slowly constructs a visual depiction of Marshall's 'cardboard model'. Unfortunately (for all purveyors of extant economic theory), this visual depiction suddenly opens the door to all manner of Copernican heresy. For example, it suddenly becomes obvious that we can join the lowest points on a firm's series of SRAC curves and thereby form its LRAC curve; it suddenly becomes obvious that the firm's series of SRAC curves only appear to intersect because mainstream theory has naively forced our three-dimensional economic reality into a two-dimensional economic sketch; and it suddenly becomes obvious that a two-dimensional sketch is analytically useless because the 'short run' (SR) never turns into the 'long run' (LR) no matter how long we wait. (shrink)

What is the relationship between space and time in the human mind? Studies in adults show an asymmetric relationship between mental representations of these basic dimensions of experience: Representations of time depend on space more than representations of space depend on time. Here we investigated the relationship between space and time in the developing mind. Native Greek‐speaking children watched movies of two animals traveling along parallel paths for different distances or durations and judged the spatial and (...) temporal aspects of these events (e.g., Which animal went for a longer distance, or a longer time?). Results showed a reliable cross‐dimensional asymmetry. For the same stimuli, spatial information influenced temporal judgments more than temporal information influenced spatial judgments. This pattern was robust to variations in the age of the participants and the type of linguistic framing used to elicit responses. This finding demonstrates a continuity between space‐time representations in children and adults, and informs theories of analog magnitude representation. (shrink)

Following the ideas of Poincaré, Reichenbach, and Grunbaum concerning the convention of setting up clock systems, we analyze clock systems and light propagation within the framework of four-dimensional symmetry. It is possible to construct a new four-dimensional symmetry framework incorporatingcommon time: observers in different inertial frames of reference use one and the same clock system, which is located in any one of the frames. Consequently, simultaneity has a meaning independent of position and independent of frame of reference. (...) A further consequence is that the two-way speeds of light alone are isotropic in any frame. By the choice of clock system there will be one frame in which the one-way speed of light is isotropic. This frame can be arbitrarily chosen. The difference between one-way speeds and two-way speeds of light signals is considered in detail. (shrink)

This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent (...) of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms. (shrink)

Developing social skills is essential to succeed in social relations. Two important social constructs in middle childhood, prosocial behavior and reactive aggression, are often regarded as separate behaviors with opposing developmental outcomes. However, there is increasing evidence for the co-occurrence of prosociality and aggression, as both might indicate responsivity to the social environment. Here, we tested whether a bi-dimensional taxonomy of prosociality and reactive aggression could predict internalizing and externalizing problems over time. We re-analyzed data of two well-validated (...) experimental tasks for prosociality and reactive aggression in a developmental population sample. Results revealed no associations between prosociality and reactive aggression, confirming the independence of those constructs. Interestingly, although prosociality and reactive aggression independently did not predict problem behavior, the interaction of both was negatively predictive of changes in externalizing problems over time. Specifically, only children who scored low on both prosociality and reactive aggression showed an increase in externalizing problems 1 year later, whereas levels of externalizing problems did not change for children who scored high on both types of behavior. Thus, our results suggest that at an individual level, reactive aggression in middle childhood might not always be maladaptive when combined with prosocial behavior, thereby confirming the importance of studying social competence across multiple dimensions. (shrink)

Close insight into mathematical and conceptual structure of classical field theories shows serious inconsistencies in their common basis. In other words, we claim in this work to have come across two severe mathematical blunders in the very foundations of theoretical hydrodynamics. One of the defects concerns the traditional treatment of time derivatives in Eulerian hydrodynamic description. The other one resides in the conventional demonstration of the so-called Convection Theorem. Both approaches are thought to be necessary for cross-verification of the (...) standard differential form of continuity equation. Any revision of these fundamental results might have important implications for all classical field theories. Rigorous reconsideration of time derivatives in Eulerian description shows that it evokes Minkowski metric for any flow field domain without any previous postulation. Mathematical approach is developed within the framework of congruences for general four-dimensional differentiable manifold and the final result is formulated in form of a theorem. A modified version of the Convection Theorem provides a necessary cross-verification for a reconsidered differential form of continuity equation. Although the approach is developed for one-component (scalar) flow field, it can be easily generalized to any tensor field. Some possible implications for classical electrodynamics are also explored. (shrink)

Elements of notation are variables and sentences are sequences of different variables. Both listening and reading are processes, which makes a sentence a stream of variations of a single variable. Thus, a simple sentence is a one-dimensional object, measured along the stream of variation. A sentence with coordinated or subordinated material effectively encodes multiple streams which makes a complex sentence a two-dimensional object with that second dimension measured across the multiple streams. A single symbol does not vary and (...) is therefore a zero-dimensional object. Processes exist in time and the dimensions of notation are therefore abstract dimensions. (shrink)

In this paper, we discuss the inherent temporal orientation of fear, a matter on which philosophers seem to have contrasting opinions. According to some, fear is inherently present-oriented; others instead maintain that it is inherently future-oriented or that it has no inherent temporal orientation at all. Despite the differences, however, all these views seem to understand fear’s temporal orientation as one-dimensional—that is, as uniquely determined by the represented temporal location of the intentional object of fear. By contrast, we present (...) a view that introduces a two-dimensional account of fear’s temporal orientation. On such a view, we can say that fear is inherently future-oriented, independently of its being about something in the present or in the future. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Difficult Road to Deciding on CircumcisionAnonymous TwoAnonymous TwoWhen I got my results back from my noninvasive prenatal testing, NIPT and found out I was going to have a little boy, one of my first thoughts was, "I don't want to circumcise him," which sounds silly because I just found out the gender of my baby and my first thought is about his genitalia. The idea of growing and (...) carrying this perfect little baby for nine months and then hurting him was unthinkable to me. I simply did not want to hurt him. The idea of it made me feel sick. Anytime the subject came up, I would protectively put my hand over my belly. And I do admit there were a lot of times I wished I was having a girl so I didn't have to deal with the circumcision debate.There was a lot of conversation between myself and my husband about it. My husband was adamant about getting it done. He referred to uncircumcised penises as "snake penises" and said our son will be made fun of for being different. He said it would be easier for him to clean and when he's old, he won't have to worry about infection. I would counter with, "well what if he falls in love with a girl from a culture that doesn't circumcise? She will think his penis is weird." The more we talked about it, the more ridiculous it felt thinking that far in advance and all these hypothetical situations he might get in over his penis. My parents wanted it done for religious reasons, but that wasn't a factor for me. My mom kept saying it's in the Bible and it needs to be done. My boss is Jewish and she joked that I could just convert to Judaism and the choice would be taken away from me so I didn't have to stress over it. Everything I read on my mommy groups and sites like Reddit called male circumcision child abuse and stated how barbaric it was. Terms like "genital mutilation" were thrown around a lot, and I didn't want to be part of a group that was seemingly looked down upon by so many.I spent my whole pregnancy saying how much I did not want to circumcise my baby. About a week after he was born and we were starting to get settled, my husband started to call around trying to get him an appointment for circumcision. It was unusual to do it this way, as typically it's done when babies are still in the hospital. But the hospital wasn't doing circumcisions because it was elective, and they weren't doing elective procedures because of COVID. At his first doctor's appointment, I talked to our pediatrician about it. She is Indian and told me she didn't circumcise her boys and said that it was very normal in many parts of the world to not do it. I would watch her pull back the skin to check it for fibers and think, "Is it really that bad to keep it? It's just skin." Our pediatrician didn't do it, as she doesn't perform procedures in the office, and she gave us some names of doctors that were supposed to be doing it. My husband called them all and none of them were doing circumcisions either. Finally, my husband found a doctor, but he was booked out for almost a month and a half. With no other option, we made the appointment. I was not thrilled about it, and made my husband do all the calls and arrange it because I did not agree with it.What made me change my mind about circumcising him was I didn't want him to be different. My husband assured me this was the best choice and he was very concerned our son would be bullied for being different. I have a good friend that is a nurse in a long term care facility currently. I called her and asked if it was really that bad for old men to care... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Advocates, Not Problem ParentsAnonymous TwoNothing could have prepared us for the shock of hearing that our son had a brain tumor.Rob* was 13½, an active, healthy eighth grader, when he developed a headache so bad he couldn’t get out of bed in the morning. We saw the pediatrician three times over the next ten days. On the third visit, after ruling out problems at home, stress at school, strep (...) throat and mono, he sent us for an MRI. When the radiology tech handed me the films and told us to drive back to the pediatrician’s office, I knew we were in trouble. Sure enough, after all the other patients had left, our long–time doctor called us into his tiny office, shut the door and fumbled with the films as he pointed to a white spot that he said was a brain tumor.So began the experience that would change the course of our lives. We remember the diagnosis in detail and relive it in slow motion. We recall packing suitcases, driving to the hospital, waiting to be seen in the emergency room, and walking through doors marked “Pediatric Hematology/Oncology” for the first time.We date everything “BC” (Before Cancer) or “AD” (After Diagnosis). We are grateful every day that [End Page 13] our son is alive, but we know he is forever changed. We are changed: Our nuclear family, our extended family, everyone who knew us and supported us at the time was affected. A pediatric cancer diagnosis is a bomb that shatters your world without warning. If you’re lucky, you can pick up a lot of the pieces, maybe even most of them, but the world you re–enter is never the one you inhabited before.Our doctor delivered the diagnosis to Rob and me at the same time. I’ve thought about this many times and perhaps one day will ask him: Why did he choose to do it that way? Was it a conscious decision or just happenstance? Was it kinder, in the long run—like pulling off a band–aid quickly—or terribly risky? What if I had collapsed at the news? I asked to step into the hall to use the phone. In a state of numbness, I called my husband. He knew we had had an MRI a few hours earlier. “Come quickly,” I said. “There’s a mass.”We chose to go to a top-ranked major medical center and were admitted that evening. A couple of days later, the discovery of tumor markers in Rob’s cerebrospinal fluid and blood confirmed a central nervous system mixed germ cell tumor. We were told he would require six cycles of chemotherapy, followed by six weeks of radiation, and possibly second–look surgery and high-dose chemo with stem cell rescue on top of that. We were given a consent form listing a catalogue of short–and long–term side effects, among them the likelihood of infertility. We were urged to start treatment as soon as possible.By sheer coincidence I had just completed a project for a small, nonprofit organization that existed to inform young adult cancer patients about their fertility rights and options. I knew that infertility concerns were usually pushed aside at diagnosis to make way for other priorities, namely the urgency of starting treatment. And that’s exactly the kind of pressure we were facing.But my husband and I were not ready to sign away our son’s fertility in what felt like a no–confidence vote, a capitulation. We needed to believe that he would survive and put this horror behind him, that he would look forward to marriage and starting a family. We were willing to cede nothing to the disease at this early stage of the game. Was this rational, naive or selfish on our part? I don’t know.The medical team seemed surprised when we asked for a delay in treatment in order to collect sperm samples. They warned that our son’s condition could decline suddenly—and that postponing treatment by even several days might be dangerous. However, at our insistence, they agreed to the delay... (shrink)

With the development and application of information technology, the digitization of information management and the virtualization of physical models have become very important technical application fields in the world. The establishment of the 3D landscape model and the realization of the 3D geographic information system are based on this, and there is not only a wide range of development prospects in many aspects such as urban planning and management, planning and design, local government construction, housing industry development, land monitoring and (...) management, and environmental monitoring and evaluation. There are not only research studies and formulations but also a practical significance in other analysis, evaluation, decision making, and other departments. In recent years, the research of 3D city modeling has been developed rapidly, and most of the existing 2D-GIS can be transformed into 3D visual landscape. Based on the three-dimensional geographic information system and desktop drawing software AutoCAD, this paper takes the two-dimensional line drawing of a residential district as the base map, expounds the design process of the three-dimensional simulation model of the urban community from the aspects of map preprocessing, building simulation model construction, texture mapping, and virtual visualization, and discusses the problems encountered in it. The main contributions of this paper are that this technology puts forward a new solution for the integrated corridor operation and maintenance management, greatly improves the intelligent management level of the integrated corridor operation and maintenance work, and simplifies the complex integrated corridor operation and maintenance management. It is helpful to improve the work efficiency of operation and maintenance, reduce the dependence of personnel, and respond to the long-term construction needs of the smart city at the same time. (shrink)

Using dimensional analysis, we demonstrate that it is possible to quantify changes in the topological structure of cardiac dynamics over long periods of time. A method was developed to calculate a dimension-like measure (referred to here as apparent dimension) from a correlation algorithm within a data window of 500 heart beats which is moved in equidistant steps over the time series of the RR intervals over 24 hours. The correspondence between the apparent dimension and the correlation dimension (...) was tested using artificial data sequences. Furthermore 24 hour electrocardiographic recordings of two healthy subjects and of a patient with acute myocardial infarction were examined. The reliability of the analysis could be demonstrated and changes in dimension reflecting physiological as well as pathophysiological changes were observed. (shrink)

This chapter contains sections titled: Coordinate Systems: Euclidean Space Invariant Quantities Classical Space‐times Special Relativity Consequences of the Lorentz Transformation Lorentz Invariant Quantities.

Mental time travel is defined as projecting the self into the past and the future. Despite growing evidence of the similarities of remembering past and imagining future events, dominant theories conceive of these as distinct capacities. I propose that memory and imagination are fundamentally the same process – constructive episodic simulation – and demonstrate that the ‘simulation system’ meets the three criteria of a neurocognitive system. Irrespective of whether one is remembering or imagining, the simulation system: acts on the (...) same information, drawing on elements of experience ranging from fine-grained perceptual details to coarser-grained conceptual information and schemas about the world; is governed by the same rules of operation, including associative processes that facilitate construction of a schematic scaffold, the event representation itself, and the dynamic interplay between the two ; and is subserved by the same brain system. I also propose that by forming associations between schemas, the simulation system constructs multi-dimensional cognitive spaces, within which any given simulation is mapped by the hippocampus. Finally, I suggest that simulation is a general capacity that underpins other domains of cognition, such as the perception of ongoing experience. This proposal has some important implications for the construct of ‘MTT’, suggesting that ‘time’ and ‘travel’ may not be defining, or even essential, features. Rather, it is the ‘mental’ rendering of experience that is the most fundamental function of this domain-general simulation system enabling humans to re-experience the past, pre-experience the future, and also comprehend the complexities of the present. (shrink)

In this work we study dimensional theoretical properties of some a±ne dynamical systems. By dimensional theoretical properties we mean Hausdor® dimension and box- counting dimension of invariant sets and ergodic measures on theses sets. Especially we are interested in two problems. First we ask whether the Hausdor® and box- counting dimension of invariant sets coincide. Second we ask whether there exists an ergodic measure of full Hausdor® dimension on these invariant sets. If this is not the case we (...) ask the question, whether at least the variational principle for Haus- dor® dimension holds, which means that there is a sequence of ergodic measures such that their Hausdor® dimension approximates the Hausdor® dimension of the invariant set. It seems to be well accepted by experts that these questions are of great importance in developing a dimension theory of dynamical systems (see the book of Pesin about dimension theory of dynamical systems [PE2]). Dimensional theoretical properties of conformal dynamical systems are fairly well understood today. For example there are general theorems about conformal repellers and hyperbolic sets for conformal di®eomorphisms (see chapter 7 of [PE2]). On the other hand the existence of two di®erent rates of expansion or contraction forces problems that are not captured by a general theory this days. At this stage of de- velopment of the dimension theory of dynamical systems it seems natural to study non conformal examples. This is the ¯rst step to understand the mechanisms that determine dimensional theoretical properties of non conformal dynamical systems. A±ne dynamical systems represent simple examples of non conformal systems. They are easy to de¯ne, but studying their dimensional theoretical properties does never- theless provide challenging mathematical problems and exemplify interesting phe- nomena. We consider here a special class of self-a±ne repellers in dimension two, depending on four parameters (see 2.1.). Furthermore we study a class of attractors of piecewise a±ne maps in dimension three depending on four parameters as well. The last object of our work are projections of these maps that are known as gener- alized Baker's transformations (see 2.2.). The contents of our work is the following: In chapter two we give an overview about some main results in the area of di- mension theory of a±ne dynamical systems and de¯ne the systems we study in this work. We will explain, what is known about the dimensional theoretical properties of these systems and describe what our new results are. In chapter three we then apply symbolic dynamics to our systems. We will introduce explicit shift codings 4 and ¯nd representations of all ergodic measures for our systems using these codings. From chapter four to chapter eight we study dimensional theoretical properties, which our systems generally or generically have. In chapter four we will prove a formula for the box-counting dimension of the repellers and the attractors (see the- orem 4.1.). Then in chapter ¯ve we apply general dimensional theoretical results for ergodic measures found by Ledrappier and Young [LY] and Barreira, Schmeling and Pesin [BPS] to our systems. These results relate the dimension of ergodic measures to metric entropy and Lyapunov exponents. Using this approach we will be able to reduce questions about the dimension of ergodic measures in our context to ques- tions about certain overlapping and especially overlapping self-similar measures on the line. These overlapping self-similar measures are studied in chapter six. Our main theorem extends a result of Peres and Solomyak [PS2] concerning the absolute continuity resp. singularity of symmetric self-similar measures to asymmetric ones (see theorem 6.1.3.). In chapter seven we bring our results together. We prove that we generically (in the sense of Lebesgue measure on a part of the parameter space) have the iden- tity of box-counting and Hausdor® dimension for the repellers and the attractors. (see theorem 7.1.1. and corollary 7.1.2.). This result suggest that one can expect that the identity of box-counting dimension and Hausdor® dimension holds at least generically in some natural classes of non conformal dynamical systems. Furthermore we will see in chapter seven that there generically exists an ergodic measure of full Hausdor® dimension for the repellers. On the other hand the vari- ational principle for Hausdor® dimension is not generic for the attractors. It holds only if we assume a certain symmetry (see theorem 7.1.1.). For generalized Baker's transformations we will ¯nd a part of the parameter space where there generically is an ergodic measure of full dimension and a part where the variational principle for Hausdor® dimension does not hold (see theorem 7.1.3.). Roughly speaking the reason why the variational principle does not hold here is, that if there exists both a stable and an unstable direction one can not generically maximize the dimension in the stable and in the unstable direction at the same time. In an other setting this phenomenon was observed before by Manning and McCluskey [MM]. In chapter eight we extend some results of the last section to invariant sets that correspond to special Markov chains instead of full shifts (see theorem 8.1.1.). In the last two chapters of our work we are interested in number theoretical excep- tions to our generic results. The starting point of our considerations in section nine are results of ErdÄos [ER1] and Alexander and Yorke [AY] that establish singularity and a decrease of dimension for in¯nite convolved Bernoulli measures under special conditions. Using a generalized notion of the Garsia entropy ([GA1/2]) we are able 5 to understand the consequences of number theoretical peculiarities in broader class of overlapping measures (see theorem 9.1.1.). In chapter ten we then analyze number theoretical peculiarities in the context of our dynamical systems. We restrict our attention to a symmetric situation where we generically have the existence of a Bernoulli measure of full dimension and the identity of Hausdor® and box-counting dimension for all of our systems. In the ¯rst section of chapter ten we ¯nd parameter values such that the variational principle for Hausdor® dimension does not hold for the attractors and for the Fat Baker's transformations (see theorem 10.1.1.). These are the ¯rst known examples of dynamical systems for which the variational principle for Hausdor® dimension does not hold because of number theoretical peculiarities of parameter values. For the repellers we have been able to show that under certain number theoretical conditions there is at least no Bernoulli measure of full Hausdor® dimension; the question if the variational principle for Hausdor® dimension holds remains open in this situation. In the second section of chapter ten we will show that the identity for Hausdor® and box-counting dimension can drops because there are number theoretical pecu- liarities. In the context of Weierstrass-like functions this phenomenon was observed by Przytycki and Urbanski [PU]. Our theorem extends this result to a larger class of sets, invariant under dynamical systems (see theorem 10.2.1). At the end of this work the reader will ¯nd two appendices, a list of notations and the list of references. In appendix A we introduce the notions of dimension we use in this work and collect some general facts in dimension theory. In appendix B we state the facts about Pisot-Vijayarghavan number, we need in our analysis of number theoretical peculiarities. The list of notations contains general notations and a table with a summary of notations we use to describe the dynamical systems that we study. Acknowledgments I wish to thank my supervisor JÄorg Schmeling for a lot of valuable discussion and all his help. Also thanks to Luis Barreira for his great hospitality in Lisboa and many interesting comments. This work was done while I was supported by "Promotionstipendium gem. NaFÄoG der Freien UniversitÄat Berlin". (shrink)

According to Einstein, a universal time does not exist. But what if time is different than what we think of it? Cosmic Microvawe Background Radiation was accepted as a reference for a universal clock and a new time concept has been constructed. According to this new concept, time was tackled as two-dimensional having both a wavelength and a frequency. What our clocks measure is actually a derivation of the frequency of time. A relativistic (...) class='Hi'>time dilation actually corresponds to an increase in the wavelength of time. At the point where time wavelength and time frequency is equal, where light is positioned, quantum-world and macro- world are seperated. Gravity was redefined with respect to time and the new two dimensional time fabric of the universe was speculated to be the source of dark energy causing the universe to expand. According to this new point of view quantum realm and macro-world can be better understood. This new time concept provide a basis for our understanding of quantum gravity and provide the long-sought answers to well known problems of it. A prediction of the presented theory is that the universe will expand at various rates at different regions due to the fact that particular surroundings will create different gravities and cause a different gravity- time wavelength effect yielding various time delays for calculating this rate of expansion. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Parenting Children With Autism Spectrum Disorders Through the Transition to AdulthoodAnonymous One, Anonymous Two, Lorri Centineo, Anonymous Three, Virginia Clapp, Catherine Cornell, Nancy Coughlin, David McDonald, Mark Osteen, Laura Shumaker, Julie Van der Poel, Anonymous FourMy Son's Life with Autistic Spectrum DisorderAnonymous OneThis is the story of how my son, David, has tried to become independent. David is now 25–years–old. His immediate family is his dad, a brother (age (...) 22) and myself (his mother). He was diagnosed with an autism spectrum disorder (ASD) when he was 13. We looked up all the information and decided not to make a big deal of it. Looking back, he displayed all the classic signs of a high functioning autistic disorder. Would he have been diagnosed with the new DSM 5 guidelines? He probably would have. His life would be much, much different if he had been diagnosed at an early age.I'll start with David at age 13 when he was able to harness his big interest in computer science into a career for himself. He was expelled from middle school for threatening some kid that had been picking on him all year. He had a meltdown and wasn't able to communicate his side of the story and that was it.During the summer of that year he took classes in computer engineering (Microsoft) and became an engineer when he was 13. At that time it was quite an accomplishment because he was the youngest person in the United States to do so at such a young age. (By the way, the administration of the school that expelled him sent him a congratulatory card when he was written up in the paper).His father and uncle are in business running a computer company so David had a ready–made job waiting for him when he graduated from high school and was able to keep it during difficult times. David finished high school (mainstreamed special education as emotionally disturbed) and he also received another engineering certification (Cisco).I have to mention here that I truly did not understand what it was like for my son until one day when he was in high school, as I was lecturing him again for some stupid reason, he said, "You don't know how hard it is for me to not sit in a corner and rock every day." Think about that. ASD individuals get up and keep going every day when they know they are going to be misunderstood and picked on. They all deserve a medal for bravery.David became really upset that he had never had a date and that girls were not even interested in talking to him. He started cutting himself and shaving his head. That got him some attention from the stoner group. He had someone to sit with at lunch anyhow. Parents, I think it's better to have no friends than the wrong friends. They introduced him to drugs.We did not mention any trouble David was having to any relatives. We had lived 800 miles from our families in a very unspoiled part of northern America. In hindsight this was not good either. [End Page 151]Another thing, and I think every parent will agree with this—teachers, school staff, health care industry staff, doctors and every one that comes into contact with an ASD individual—take the time to get to know them. It may be difficult and some may appear non–caring and rude. You must overlook this and look to the person underneath. They are great people. They have been through stuff and it means so much to them. Like I said—parents, you know this. Please remember it when times get tough.During David's senior year he started work release so he could start earning money to buy a car and move out as soon as he turned 18. Things were made easy for David since the company was owned by his father and his uncle and I worked there also. David enjoyed the work but had the occasional meltdown and had difficulties fitting in with other employees. He wasn't able to communicate... (shrink)

This paper starts with the study of realistic three-dimensional models, from the two aspects of ink art style simulation model and three-dimensional display technology, explores the three-dimensional display model of three-dimensional model ink style, and conducts experiments through the software development platform and auxiliary software. The feasibility of the model is verified. Aiming at the problem of real-time rendering of large-scale 3D scenes in the model, efficient visibility rejection method and a multiresolution fast rendering method (...) were designed to realize the rapid construction and rendering of ink art 3D virtual reality scenes in a big data environment. A two-dimensional cellular automaton is used to simulate a brushstroke model with ink and wash style, and outlines are drawn along the path of the brushstroke to obtain an effect close to the artistic style of ink and wash painting. Set the surface of the model with ink style brushstroke texture patterns, refer to the depth map, normal map, and curvature map information of the model, and simulate the drawing effect of the method by procedural texture mapping. Example verification shows that the rapid visualization analysis model of ink art big data designed in this paper is in line with the prediction requirements of ink art big data three-dimensional display indicators. The fast visibility removal method is used to deal with large-scale three-dimensional ink art in a big data environment. High efficiency is achieved in virtual reality scenes, and the multiresolution fast rendering method better maintains the appearance of the prediction model without major deformation. (shrink)

In this article, I analyze the particular perception of the world Baptists start to learn during their conversion which I call the three-dimensional perception of reality. This concept refers to the ability to incorporate narratives from the Bible into everyday life events and interpret both personal stories and world events accordingly, thereby making the Bible ever relevant. Based on ethnographic fieldwork, I show how events from the believers' daily lives are perceived and explained in the light of biblical stories. (...) Regardless of the fact that the two are separated in time and in space, the biblical story is still seen as a proto-event to the current one. No matter how diverse the believers' experiences, they are capable of finding an equivalent episode in the Bible. The scripture, therefore, is ever present in the believers' lives, as a source of meaning and interpretation. (shrink)

The relationship between the photographic and optical images and time has been the subject of great deal of debate. Despite their differences, what many of these considerations have in common is their focus on the receiver, whether mechanical (the camera), biological (the eye–brain as the optical receiver), social or the memory and imagination of the observer. My aim here is to shift the emphasis from the receiver to the object or vista that is photographed or viewed and to explore (...) how the constraints implied by our modern understanding of the Universe, concerning space and time, impact on the way we perceive photographic and optical images. Viewed from this perspective, photographs can be treated as light projections of sections of the four-dimensional observable world onto two-dimensional spatial photographic or viewing surfaces. I shall show that despite the severe reduction that such projections imply, these modern considerations have the important consequence of bestowing a complex temporality upon optical images, including photographs. This realization dramatically changes the way we view photographs. I give examples of this rich temporality through considerations of terrestrial images – and more significantly images of the Sky, where these temporal effects are far more pronounced. (shrink)

As the result of the complexity inherent in nature, mathematical models employed in ecology are often governed by a large number of variables. For instance, in the study of population dynamics we often deal with models for structured populations in which individuals are classified regarding their age, size, activity or location, and this structuring of the population leads to high dimensional systems. In many instances, the dynamics of the system is controlled by processes whose time scales are very (...) different from each other. Aggregation techniques take advantage of this situation to build a low dimensional reduced system from which behavior we can approximate the dynamics of the complex original system.In this work we extend aggregation techniques to the case of time dependent discrete population models with two time scales where both the fast and the slow processes are allowed to change at their own characteristic time scale, generalizing the results of previous studies. We propose a non-autonomous model with two time scales, construct an aggregated model and give relationship between the variables governing the original and the reduced systems. We also explore how the properties of strong and weak ergodicity, regarding the capacity of the system to forget initial conditions, of the original system can be studied in terms of the reduced system. (shrink)

The DSM-5 Alternative Model for Personality Disorders dimensionally defines personality pathology using severity of dysfunction and maladaptive style. As the empirical literature on the clinical utility of the AMPD grows, there is a need to examine changes in diagnostic profiles and personality expression in treatment over time. Assessing these changes in individuals diagnosed with borderline personality disorder is complicated by the tendency for patients to cycle through multiple therapists over the course of treatment leaving the potential for muddled diagnostic (...) clarity and disjointed case conceptualizations. Following patient trajectories across therapists offers a unique opportunity to examine the AMPD’s sensitivity to and utility for capturing personality stability and change over time for patients with BPD. This article demonstrates the utility of the AMPD for two clinical cases in three distinct ways: highlighting heterogeneity in BPD between patients, comparing improvements in personality severity and style over time, and elucidating profile change across therapist ratings. We present two patients diagnosed with DSM-5 Section II BPD, crossing between two therapists over the course of 3 years of psychodynamic psychotherapy. Treating clinicians rated patients for their respective treatment phases using the Level of Personality Functioning Scale, capturing severity, and the Personality Inventory for the DSM-5, capturing style. AMPD diagnostic profiles differentiated patients with BPD in both severity and style, and captured within-patient change beyond within-therapist response bias. Results indicated greater improvements in personality severity while personality style remained more stable. Implications for the patients’ treatment progress and associated challenges are discussed, as are considerations for the utility of the AMPD in therapy. (shrink)

The relationship between the photographic and optical images and time has been the subject of great deal of debate. Despite their differences, what many of these considerations have in common is their focus on the receiver, whether mechanical, biological, social or the memory and imagination of the observer. My aim here is to shift the emphasis from the receiver to the object or vista that is photographed or viewed and to explore how the constraints implied by our modern understanding (...) of the Universe, concerning space and time, impact on the way we perceive photographic and optical images. Viewed from this perspective, photographs can be treated as light projections of sections of the four-dimensional observable world onto two-dimensional spatial photographic or viewing surfaces. I shall show that despite the severe reduction that such projections imply, these modern considerations have the important consequence of bestowing a complex temporality upon optical images, including photographs. This realization dramatically changes the way we view photographs. I give examples of this rich temporality through considerations of terrestrial images – and more significantly images of the Sky, where these temporal effects are far more pronounced. (shrink)

In this work we deal with a general class of spatially distributed periodic SIS epidemic models with two time scales. We let susceptible and infected individuals migrate between patches with periodic time dependent migration rates. The existence of two time scales in the system allows to describe certain features of the asymptotic behavior of its solutions with the help of a less dimensional, aggregated, system. We derive global reproduction numbers governing the general spatially distributed nonautonomous system (...) through the aggregated system. We apply this result when the mass action law and the frequency dependent transmission law are considered. Comparing these global reproductive numbers to their non spatially distributed counterparts yields the following: adequate periodic migration rates allow global persistence or eradication of epidemics where locally, in absence of migrations, the contrary is expected. (shrink)