Entropy: From Thermodynamics to Information Processing

Entropy is a concept that emerged in the 19th century. It used to be associated with heat harnessed by a thermal machine to perform work during the Industrial Revolution. However, there was an unprecedented scientific revolution in the 20th century due to one of its most essential innovations, i.e., the information theory, which also encompasses the concept of entropy. Therefore, the following question is naturally raised: “what is the difference, if any, between concepts of entropy in each field of knowledge?” There are misconceptions, as there have been multiple attempts to conciliate the entropy of thermodynamics with that of information theory. Entropy is most commonly defined as “disorder”, although it is not a good analogy since “order” is a subjective human concept, and “disorder” cannot always be obtained from entropy. Therefore, this paper presents a historical background on the evolution of the term “entropy”, and provides mathematical evidence and logical arguments regarding its interconnection in various scientific areas, with the objective of providing a theoretical review and reference material for a broad audience.

A New Chaotic Jerk System with Double-Hump Nonlinearity

In this paper, we report a new third-order chaotic jerk system with double-hump (bimodal) nonlinearity. The bimodal nonlinearity is of basic interest in biology, physics, etc. The proposed jerk system is able to exhibit chaotic response with proper choice of parameters. Importantly, the chaotic response is also obtained from the system by tuning the nonlinearity preserving its bimodal form. We analytically obtain the symmetry, dissipativity and stability of the system and find the Hopf bifurcation condition for the emergence of oscillation. Numerical investigations are carried out and different dynamics emerging from the system are identified through the calculation of eigenvalue spectrum, two-parameter and single parameter bifurcation diagrams, Lyapunov exponent spectrum and Kaplan–Yorke dimension. We identify that the form of the nonlinearity may bring the system to chaotic regime. Effect of variation of parameters that controls the form of the nonlinearity is studied. Finally, we design the proposed system in an electronic hardware level experiment and study its behavior in the presence of noise, fluctuations, parameter mismatch, etc. The experimental results are in good analogy with that of the analytical and numerical ones.

Development of Analogy-Based Material Physics Module to Provide Analogy Ability of Physics Teachers Candidates

It is known that the 'electronic structure of atoms' in material physics is microscopic. This atomic structure has an abstract and complicated concept, therefore good analogy skills are needed to study comprehensively. This research develops a free analogy-based material physics module to supply analogy skills to prospective physics teacher students. Module development uses the 4D model namely Define, Design, Development and Disseminate. The feasibility aspects are required based on the presentation, content, and grammar. Data obtained from expert assessment and trials using questionnaires, interviews, and tests. Increased student analogy skills were analyzed using normalized N-gain. The results obtained are: (1) the characteristics of the module that has learning steps such as teaching with analogy models, namely: introducing the concept of targets, reviewing the concept of analogies, identifying the relevant nature of targets and analogies, mapping analogies with targets, identifying analogies that are not relevant to targets, and make conclusions, (2) module quality on atomic electronic structure material developed is categorized as feasible, (3) modules are proven to increase mastery of the concept of atomic electronic structure (N-gain = 54%) and analytical skills prospective teachers physics (N-gain = 56%). The development of physics modules based on free analogies can be applied to other learning, such as biology, chemistry, and mathematics to explain abstract material.

Sensitivity of Importance Metrics for Critical Digital Services Graph to Service Operators’ Self-Assessment Errors

Interdependency of critical digital services can be modeled in the form of a graph with exactly known structure but with edge weights subject to estimation errors. We use standard and custom centrality indexes to measure each service vulnerability. Vulnerability of all nodes in the graph gets aggregated in a number of ways into a single network vulnerability index for services whose operation is critical for the state. This study compares sensitivity of various centralities combined with various aggregation methods to errors in edge weights reported by service operators. We find that many of those combinations are quite robust and can be used interchangeably to reflect various perceptions of network vulnerability. We use graphs of source files’ dependencies for a number of open-source projects, as a good analogy for real critical services graph, which will remain confidential.

The Spectres Haunting Europe: Reading Contemporary Catalan Nationalism through The Break-Up of Britain

This article reads contemporary Catalan nationalist discourse through the lens of Tom Nairn’s polemical classic The Break-Up of Britain. First published in 1977, that text presents key issues for understanding contemporary Catalonia. The first is the emergence of a national sentiment that is separate from that of anti-colonialism because it is characterized by a higher level of economic development than the place it is seeking to break from, but is the repository of a legitimate claim to self-determination. That is how Nairn sees the Northern Ireland–Éire relationship, and that is a good analogy for Spain–Catalonia. The second is the tension between what he sees as ‘indifferent’, that is to say strictly civic-political nationalism and a more linguistically or culturally-driven nationalism. This is also a key tension in Catalonia, where immigration has transformed the national movement towards an interculturalist ideology and a de facto bilingualism (with Catalan and Spanish) remains a key but strategically unacknowledged element of that movement. The third aspect of Break-Up, and the synthesis of the comparison, is the importance of federalism, which is key for Nairn in seeing a way forward for the constituent countries of the UK and long a crucial, if not the crucial, political element of catalanisme.

The Rocks Change Shape: Folds, Faults, and Joints

You may have looked at some rocky cliff and noticed sedimentary strata bent into huge curves, the shapes that geologists call folds. You may even have heard of terms like anticline and syncline. Almost certainly you will have heard of geological faults: the San Andreas Fault in California must be one of the best-known geological features there is. They are all examples of what geologists call geological structures. They can affect vineyards, and the names of examples appear around the world on wine labels. So how do these structures come about, and what decides whether rocks make folds or faults? We introduced the concept of tectonic stresses in the previous chapter. We learned that because they act in a particular direction they can induce foliations within metamorphic rocks, but of relevance here is that they can also cause rocks to change their overall shape. That is, the rocks deform, which gives rise to various geological structures. Any solid matter (unlike a liquid) that feels stresses, of whatever origin, will resist them up to a point before it starts to change shape. That point is what defines the strength of the material. The same principles apply when stresses are applied to a sediment or a soil, though rocks, with their constituent minerals firmly bonded together, resist much greater levels of stress before they deform. As one wag put it, the difference between a rock and a soil is that when you kick them a rock hurts your foot . . . So, focusing in on rocks, we see two ways in which they can deform: by flow and by fracture. Looking ahead to where this is going to lead, it’s flow that gives rise to folds, and faults result from fracture. A good analogy for the flow of rocks is glacial ice. The ice is solid to us, but given time, it can flow, to give the “river of ice” that is a glacier. If you leave a ball of silicone putty on a table top, after a few days it will have flowed, while still being a solid, to make a pool.

Analisis terhadap Larangan Analogi dalam ‎Rancangan Undang-Undang Kitab Undang-Undang ‎Hukum Pidana

This article discusses the analysis of the prohibition of analogy in the Draft Bill. The majority of the experts of jurisprudence against analogy. The author does not agree with the ban on using the analogy in the Draft Bill, but justifies the analogy with the record, the judge must be competent and with integrity. If the judge is unable to make analogy, then he could use self-interpretation to find a legal decition. The argument of usage of analogy is to seek substantial justice for the people without setting aside the individual’s rights, because by using the analogy, the rule of law will remain unfulfilled. It is because the crime, in its various forms, is still contrary to morality even though it is not written, and even if the crime has an impact to the public. In Islamic law, the method of qiyâs compiled by Imam Shafi’i in may be used as a good analogy, because qiyâs method has been tested by producing many laws.Keywords: Analogy, draft bill, the criminal code. Abstrak: Artikel ini membahas tentang analisis terhadap larangan analogi dalam RUU KUHP. Mayoritas para ahli ilmu hukum menentang analogi. Penulis tidak sepakat dengan larangan menggunakan analogi dalam RUU KUHP, tetapi membenarkan analogi dengan catatan, hakimnya harus kompeten dan berintegritas. Jika hakimnya memang tidak mampu untuk beranalogi, maka ia masih bisa menggunakan interpretasi untuk menemukan hukumnya. Argumen diperbolehkannya analogi adalah untuk mencari keadilan substansial bagi masyarakat tanpa menyampingkan perlindungan individu, sebab dengan menggunakan analogi kepastian hukum akan tetap terpenuhi. Karena kejahatan, dalam berbagai bentuknya, tetap saja bertentangan dengan kesusilaan meskipun ia tidak tertulis, apalagi jika kejahatan tersebut membawa pengaruh kepada masyarakat luas. Dalam hukum Islam, metode qiyâs yang disusun oleh Imam Syafi’i dalam berijtihad mungkin dapat digunakan sebagai proses analogi yang baik, sebab metode qiyâs ini sudah teruji dengan memproduksi banyak hukum. Kata Kunci: Analogi, Rancangan Perundang-undangan, KUHP.