scholarly journals An Extension of the Concept of Derivative: Its Application to Intertemporal Choice

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 696
Author(s):  
Salvador Cruz Rambaud ◽  
Blas Torrecillas Jover

The framework of this paper is the concept of derivative from the point of view of abstract algebra and differential calculus. The objective of this paper is to introduce a novel concept of derivative which arises in certain economic problems, specifically in intertemporal choice when trying to characterize moderately and strongly decreasing impatience. To do this, we have employed the usual tools and magnitudes of financial mathematics with an algebraic nomenclature. The main contribution of this paper is twofold. On the one hand, we have proposed a novel framework and a different approach to the concept of relative derivation which satisfies the so-called generalized Leibniz’s rule. On the other hand, in spite of the fact that this peculiar approach can be applied to other disciplines, we have presented the mathematical characterization of the two main types of decreasing impatience in the ambit of behavioral finance, based on a previous characterization involving the proportional increasing of the variable “time”. Finally, this paper points out other patterns of variation which could be applied in economics and other scientific disciplines.

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Emilia Tomaszewska ◽  
Katarzyna Soliwoda ◽  
Kinga Kadziola ◽  
Beata Tkacz-Szczesna ◽  
Grzegorz Celichowski ◽  
...  

Dynamic light scattering is a method that depends on the interaction of light with particles. This method can be used for measurements of narrow particle size distributions especially in the range of 2–500 nm. Sample polydispersity can distort the results, and we could not see the real populations of particles because big particles presented in the sample can screen smaller ones. Although the theory and mathematical basics of DLS technique are already well known, little has been done to determine its limits experimentally. The size and size distribution of artificially prepared polydisperse silver nanoparticles (NPs) colloids were studied using dynamic light scattering (DLS) and ultraviolet-visible (UV-Vis) spectroscopy. Polydisperse colloids were prepared based on the mixture of chemically synthesized monodisperse colloids well characterized by atomic force microscopy (AFM), transmission electron microscopy (TEM), DLS, and UV-Vis spectroscopy. Analysis of the DLS results obtained for polydisperse colloids reveals that several percent of the volume content of bigger NPs could screen completely the presence of smaller ones. The presented results could be extremely important from nanoparticles metrology point of view and should help to understand experimental data especially for the one who works with DLS and/or UV-Vis only.


2021 ◽  
Vol 16 (1) ◽  
pp. 8-15
Author(s):  
Galina P. Kozubovskaya ◽  

The costume which has recently become the focus of many scientific disciplines has hardly attracted literary critics: the methodology of its research in fiction is just beginning to take shape. The historical and cultural approach, which essentially boils down to a commentary has been replaced by a very productive structural and semiotic approach that deciphers the semantics and functions of the costume. The methodology of our research is of a complex nature, combining the structural-semiotic, mythopoetic, and motivic aspects of the analysis of literary texts. The narratological aspect in the study of costume poetics is emphasized, which, as a rule, remains outside the scope of research.The narratological aspect is aimed at identifying “flickering” meanings in the structure of the whole – “prose as poetry” (V. Schmid).The dynamics of costume descriptions, their functionality in the structure of the whole and the specifics in the organization of the narrative (taking into account the “point of view”, the motive given by costume details and based on semantic nodes that connect polar meanings, etc.) are at the center of our research.Thanks to costume inclusions, the text of the novel The Noble Nest becomes multidimensional. Thus, the characterological detail of Panshin – a screw-shaped Golden ring is situational and at the same time conceptual: it connects the “beginnings” and “ends” of his story, symbolically programming fate. Laconic sketches of Lavretsky’s clothing, scattered throughout the text, formalizing the opposition of one’s own/ another’s, prepare a motif of loneliness and homelessness. In layered narrative created by the play of the author’s and character’s points of view, Lavretsky’s point of view “migrates” to the author’s one replacing it (“poetic” sign of the optics of the hero) and then separates from it. The content of the method of crushing, which replaced the silhouette image, is an expression of the confusion of the soul, deforming the female image. The details in Lavretsky’s “split” point of view are ambiguous: on the one hand, there is alienation, on the other hand, there is a subconscious attraction to the beloved woman in the primary, unreflexed sense of a person losing happiness. The novel’s flickering meaning is created by semantic nodes that match polarities. “White” is the symbolic color of the national, rooted in the soil (the white caps of Marfa Timofeevna and Nastasya Karpovna), and at the same time the ghostly, impossible realization of happiness (the rhyming white dress of Lisa and the white dress on the portrait of Lavretsky’s mother). “Black” is also ambivalent: the elegant black silk dress of Varvara Pavlovna and the unnamed color of Lisa’s monastic clothes in the Epilogue. The scarf that Marfa Timofeevna knits is a mythologeme that encodes the story of love and failed happiness and at the same time the semantic core of the poetics of incompleteness. Keywords: costume, costume poetics, mythologeme, narrative, semantics, point of view


Author(s):  
Gustavo Bodanza

F -systems are useful digraphs to model sentences that predicate the falsity of other sentences. Paradoxes like the Liar and the one of Yablo can be analyzed with that tool to find graph-theoretic patterns. In this paper we studied this general model consisting of a set of sentences and the binary relation ‘... affirms the falsity of...’ among them. The possible existence of non-referential sentences was also considered. To model the sets of all the sentences that can jointly be valued as true we introduced the notion of conglomerate, the existence of which guarantees the absence of paradox. Conglomerates also enabled us to characterize referential contradictions, i.e., sentences that can only be false under a classical valuation due to the interactions with other sentences in the model. A Kripke-style fixed-point characterization of groundedness was offered, and complete (meaning that every sentence is deemed either true or false) and consistent (meaning that no sentence is deemed true and false) fixed points were put in correspondence with conglomerates. Furthermore, argumentation frameworks are special cases of F -systems. We showed the relation between local conglomerates and admissible sets of arguments and argued about the usefulness of the concept for the argumentation theory.


2019 ◽  
Vol 56 (3) ◽  
pp. 543-547
Author(s):  
Flavius Olaru ◽  
Dana Stoian ◽  
Delia Berceanu Vaduva ◽  
Alina Corpade ◽  
Florin Birsasteanu ◽  
...  

Hormonal Intrauterine Devices (IUD) were developed based on copper IUD with the role to release a daily amount of hormones. From a structural point of view Levonorgestrel-IUD (L-IUD) is a small T-shaped piece of plastic, which contains levonorgestrel. When compared with the oral route of L-IUD administration, it provides some advantages because it releases levonorgestrel directly into the uterus. Our aims were: (1) to compare the thickness of uterine jonctional zone (UJZ) in two groups of patients with and without inserted L-IUD, (2) to evaluate the changes in thickness of UJZ after the insertion of L-IUD in two patients with adenomyosis, and (3) to obtain and to characterize a similar T-shaped polyurethane (PU) foam used as a levonorgestrel delivery system. On the one hand, the results confirm that L-IUD is effective in thinning the UJZ and in the treatment of adenomyosis, while on the other hand, the characterization of the PU materials (Zetasizer measurements, their thermal degradation, UV-Vis spectra and skin irritation tests) revealed that this polymer can be used as a safety and prolonged levonorgestrel carrier.


2018 ◽  
Vol 190 ◽  
pp. 15012
Author(s):  
Bernd Köhler ◽  
Brigitte Clausen ◽  
Hans-Werner Zoch

In the production of semi-finished products for the production of microcomponents and the components themselves, the characterization of their physical properties is of particular importance. Due to the often oligocrystalline character of these semi-finished products and components, it is necessary to use a suitable testing technique for static and dynamic investigations, as the mechanical properties are not transferable from the macroscopic point of view. In addition, the micro semi-finished products and components often show inhomogeneities induced by the manufacturing process. On the one hand, these are directly reflected in the microstructure and on the other hand they have an effect on quantities such as hardness or residual stresses, which play a decisive role in the application. Mechanical testing, conventional metallography, scanning electron microscopy (SEM), electron backscatter diffraction (EBSD), ultra-microhardness testing and X-ray residual stress analysis were used as measuring and analysis techniques suitable for the sub-millimeter range. In the following, the possibilities and limitations of two these methods are illustrated using the example of mechanical testing and EBSD. In this paper several examples for possible characterization techniques are given.


2019 ◽  
Vol 30 (2) ◽  
pp. 109-122
Author(s):  
Aleksandar Bulajić ◽  
Miomir Despotović ◽  
Thomas Lachmann

Abstract. The article discusses the emergence of a functional literacy construct and the rediscovery of illiteracy in industrialized countries during the second half of the 20th century. It offers a short explanation of how the construct evolved over time. In addition, it explores how functional (il)literacy is conceived differently by research discourses of cognitive and neural studies, on the one hand, and by prescriptive and normative international policy documents and adult education, on the other hand. Furthermore, it analyses how literacy skills surveys such as the Level One Study (leo.) or the PIAAC may help to bridge the gap between cognitive and more practical and educational approaches to literacy, the goal being to place the functional illiteracy (FI) construct within its existing scale levels. It also sheds more light on the way in which FI can be perceived in terms of different cognitive processes and underlying components of reading. By building on the previous work of other authors and previous definitions, the article brings together different views of FI and offers a perspective for a needed operational definition of the concept, which would be an appropriate reference point for future educational, political, and scientific utilization.


2011 ◽  
pp. 99-118
Author(s):  
Yu. Olsevich

The article analyzes the psychological basis of the theory and economic policy of libertarianism, as contained in the book by A. Greenspan "The Age of Turbulence", clarifies the strengths and weaknesses of this doctrine that led to its discredit in 2008. It presents a new understanding of liberalization in 1980-1990s as a process of institutional transformation at the micro and meso levels, implemented by politicians and entrepreneurs with predatory and opportunistic mentality. That process caused, on the one hand, the acceleration of growth, on the other hand - the erosion of informal foundations of a market system. With psychology and ideology of libertarianism, it is impossible to perceive real macro risks generated at the micro level, which lead to a systemic crisis, and to develop measures to prevent it.


2018 ◽  
Vol 2 ◽  
pp. 1-12
Author(s):  
Dyah Adriantini Sintha Dewi

The Ombudsman as an external oversight body for official performance, in Fikih Siyasah (constitutionality in Islam) is included in the supervision stipulated in legislation (al-musahabah al-qomariyah). Supervision is done so that public service delivery to the community is in accordance with the rights of the community. This is done because in carrying out its duties, officials are very likely to conduct mal administration, which is bad public services that cause harm to the community. The Ombudsman is an institution authorized to resolve the mal administration issue, in which one of its products is by issuing a recommendation. Although Law No. 37 of 2018 on the Ombudsman of the Republic of Indonesia states that the recommendation is mandatory, theombudsman's recommendations have not been implemented. This is due to differences in point of view, ie on the one hand in the context of law enforcement, but on the other hand the implementation of the recommendation is considered as a means of opening the disgrace of officials. Recommendations are the last alternative of Ombudsman's efforts to resolve the mal administration case, given that a win-win solution is the goal, then mediation becomes the main effort. This is in accordance with the condition of the Muslim majority of Indonesian nation and prioritizes deliberation in resolving dispute. Therefore, it is necessary to educate the community and officials related to the implementation of the Ombudsman's recommendations in order to provide good public services for the community, which is the obligation of the government.


2020 ◽  
Vol 4 (2) ◽  
pp. 118-129
Author(s):  
Asti Gumartifa ◽  
◽  
Indah Windra Dwie Agustiani

Gaining English language learning effectively has been discussed all years long. Similarly, Learners have various troubles outcomes in the learning process. Creating a joyful and comfortable situation must be considered by learners. Thus, the implementation of effective learning strategies is certainly necessary for English learners. This descriptive study has two purposes: first, to introduce the classification and characterization of learning strategies such as; memory, cognitive, metacognitive, compensation, social, and affective strategies that are used by learners in the classroom and second, it provides some questionnaires item based on Strategy of Inventory for Language Learning (SILL) version 5.0 that can be used to examine the frequency of students’ learning strategies in the learning process. The summary of this study explains and discusses the researchers’ point of view on the impact of learning outcomes by learning strategies used. Finally, utilizing appropriate learning strategies are certainly beneficial for both teachers and learners to achieve the learning target effectively.


Keyword(s):  

The article discusses a sequence of activities to identify a crime as jointly committed. The requirements to the algorithm of such activities are formulated. Programme-based and targeted methods applied by the authors allowed detecting a range of stages of the algorithm. The first four stages aim at defining mandatory elements of a crime allowing to characterize it as a jointly committed action. The rest of the stages focus on identifying a type of criminal complicity. In the article, each stage is described. It is emphasized that in each stage there is a special objective. At the same time, all these stages, taken together, constitute a separate module of the program of criminal characterization of an action. From the authors’ point of view, algorithms are necessary not only for detection of crimes and their criminal characterization, but also for answering the question on existence of criminal complicity in each case. Also the authors give their opinions on interpretation of criminal complicity as a legal category. In particular, it is emphasized that not all of crimes merely committed with participation of two or more persons should be understood as jointly committed. It is joint participation that makes a crime jointly committed. Various forms of criminal complicity and types of co-offenders are considered in the article as well. In various crimes, criminal complicity manifests itself differently. Therefore the proposed algorithm can be applied only after identification a specific article of the Russian Criminal Code stipulating the responsibility for the crime committed.


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