Pedagogical situations: interpretation difference

Taking into account the need to clarify the terminological framework of modern pedagogy, the concept pedagogical situation in general and its place in the pedagogical discourse in a cross-cultural aspect is discussed. Today, the concept of situation gains a general methodological significance though lacks a clear definition. Based on the analysis of interdisciplinary research, we concluded that the integral concept of situation includes: presence of subjects, dynamism, external conditions, causal relations, chronotope. The analysis of scientific sources proved that in pedagogical discourse of Russian- and English-speaking authors the term pedagogical situation is used incorrectly, the concept of pedagogical situation is mistaken for other pedagogical categories at the theoretical level, there is no unified approach to its definition. Thus the pedagogical situation analysis in Russian language pedagogical discourse is centred on the formulation of a pedagogical task, and in the English-speaking pedagogical tradition it is based on the triangle diagram that includes a teacher, a student and content. In the conducted cross-cultural and partly interdisciplinary study, a pedagogical situation is conventionally understood as a process of interaction of subjects of pedagogical activity (educational process) with a certain task in a certain place and time.

Mass Spectra and Decay of Mesons under Strong External Magnetic Field

We study the mass spectra and decay process of σ and π0 mesons under strong external magnetic field. To achieve this goal, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We calculate the energy gap equation through the random phase approximation (RPA). Then we use Ritus method to calculate the decay triangle diagram and self-energy in the presence of a constant magnetic field B. Our results indicate that the magnetic field has little influence on the mass of π0 at low temperatures. While for quarks and σ mesons, their mass changes obviously, which reflects the influence of magnetic catalysis (MC). The presence of magnetic field accelerates the decay of the meson while the presence of chemical potential will decrease the decay process. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

Masses and strong decays of open charm hexaquark states $$\Sigma _{c}^{(*)}{\Sigma }_{c}^{(*)}$$

Inspired by the recent discovery of the doubly charmed tetraquark state $$T_{cc}^{+}$$ T cc + by the LHCb Collaboration, we perform a systematic study of masses and strong decays of open charm hexaquark states $${\Sigma }_{c}^{(*)}\Sigma _{c}^{(*)}$$ Σ c ( ∗ ) Σ c ( ∗ ) . Taking into account heavy quark spin symmetry breaking, we predict several bound states of isospin $$I=0$$ I = 0 , $$I=1$$ I = 1 , and $$I=2$$ I = 2 in the one boson exchange model. Moreover, we adopt the effective Lagrangian approach to estimate the decay widths of $${\Sigma }_{c}^{(*)}\Sigma _{c}^{(*)} \rightarrow \Lambda _{c}\Lambda _{c}$$ Σ c ( ∗ ) Σ c ( ∗ ) → Λ c Λ c and their relevant ratios via the triangle diagram mechanism, which range from a few MeV to a few tens of MeV. We strongly recommend future experimental searches for the $${\Sigma }_{c}^{(*)}\Sigma _{c}^{(*)}$$ Σ c ( ∗ ) Σ c ( ∗ ) hexaquark states in the $$\Lambda _c\Lambda _c$$ Λ c Λ c invariant mass distributions.

Edmund P. Clowney’s Triangle of Typology in Preaching and Biblical Theology

Edmund Clowney created a triangle diagram to explain the func- tion of types in the Old Testament. The triangle has since become known as “Clowney’s triangle.” It has proved fruitful, and several people have incorporated it into their principles for interpretation and their interpretations of individual types. Let us reflect on its significance. KEYWORDS:

Peter Chew Triangle Diagram and Application

The objective of Peter Chew Triangle Diagram is to clearly illustrate the topic solution of triangle and provide a complete design for the knowledge of AI age. Peter Chew's triangle diagram will suggest a better single rule that allows us to solve any problem of topic solution of triangle problems directly, more easily and more accurately. There are two important rules for solving the topic solution of triangle today [1,2], namely the sine rule and the cosine rule. The sine rule is used to find a non-included angle when are given two sides and a non-included angle or the opposite side angle given when are given two angles and one side. The cosine rule normally is used to find the included angle when are given three sides or the third side when are given two sides and the included angle. Generally, we only think that when given two sides and an included angle, the cosine rule is used to find the third side. In fact, when two sides and one non included angle are given, the cosine rule is also more easier for finding the third side. For problem given 2 sides and an included angle, directly find the non included angle. We need to use Peter Chew rule [1] to solve this problem. Peter Chew Rule allows us to find the non included angles directly, easier and more accurately. The application of Peter Chew's triangle diagram in the PCET calculator allows the PCET calculator to directly solve any problem in the topic solution of triangle, which is easier and more accurate. The Peter Chew diagram provides a complete design of the topic solution of triangle, which can help students solve any problems in the topic solution of triangle directly, more easily, and more accurately. Apply Peter Chew diagram to the new calculator (PCET calculator) , allows the PCET calculator to solve any problems in the topic solution of triangle and solve some problem that can not solve by current online calculator such as Math Portal and Symbolab. Which can make PCET calculator effectively help the teaching of mathematics, especially when similar covid-19 problems arise in the future.

Logical Principles in Ternary Mathematics

Introduction/Background:Our new research called “Logical Principles in Ternary Mathematics“ is an attempt to establish connection between logical and mathematical principles governing Ternary Mathematics and address issues that appeared earlier while making truth tables for “Ternary addition” and “Ternary Multiplication” presented by the same author in “Ternary Mathematics Principles Truth Tables and Logical Operators 3 D Placement of Logical Elements Extensions of Boolean Algebra” publication.The title “Logical Principles in Ternary Mathematics“ is not randomly chosen To be able to set up relations between elements in the given discipline one usually employs the basic principle of meaning-form and function In the same way we propose a logical triangle “Component”,”Vector”,”Decimal” to prove fundamental principle governing “Ternary Mathematics” presented in the given research. Aims/Objectives: The aim of the article is to set up connection between mathematical and logical rules governing Ternary Mathematics The main postulates of the Ternary Mathematics can be demonstrated by the abstract scheme or a triangle the vertices of which are “Component”,”Vector”,”Decimal” We use a triangle diagram to prove the functionality of the chosen principle. The three components are each connected with other two and transition is possible from one to another without changing the shape of a diagram and the principle applied. Methodology: The most difficult part is to “translate” Algebra and Numeric Analysis into Mathematical Logic and vice versa Traditional methods of logic fail to do this transition therefore a new functional approach is chosen. Results and Conclusion: As a result of this functional approach a new Ternary addition Truth Table is made The new Ternary Truth Table consists of the 3 literals (Т, ₸,F) Truth Negative, False and the last column of the table is the logical sum of the two. For example: Т+T=T Unlike the old table it presents a sum of two numbers in a vector form and therefore makes it possible to use it in mathematics as well as in logic.

Fuzzy mathematical model for estimating wind erosion based on wind tunnel data, comparison of results with laboratory measured and SWEEP model results

<p>Fuzzy logic is often used for calculation and simulation of real environmental situations. Wind erosion can often be complex, and from various erosion situations it is one of the hardest to be calculated and exactly described. In our research, we based the structure of the fuzzy system on the soil loss of six soils with different mechanical compositions measured in wind channels. Measurement of soil loss in four wind speed ranges during soil channel testing of soils. During the wind tunnel analysis of the soils, the topsoil loss was measured in four wind speed ranges (I. 11,2-11,6 m/s; II. 12.5-13.3 m/s, III. 14.4-14.7 m/s, IV. 15.5-15.7 m/s) on six soils with different mechanical compositions (four sand and two clayey sand soil). The mathematical model programmed and built up in MATLAB, this mamdani type fuzzy evaluation system uses two input parameters wind speed and ErosionFactor. The mathematical model requests the soils mechanical composition and identifies it based on the USDA triangle diagram. Many mathematical methods applicable to fine tune a fuzzy system. We have chosen the method of exhaustive design to cover the whole parameter space. The mathematical model calculated the soil loss. Model runs were also performed with the SWEEP model according to the soils examined in the wind tunnel. Based on our results, we found that using our fuzzy mathematical model, we obtained estimated soil loss values similar to the SWEEP model compared to the soil loss measured in the wind tunnel. However, it should be noted that the USDA SWEEP model requires a much larger amount of data to estimate the extent of soil loss caused by a wind erosion damage event.</p>

The Temperature Evaluation of the Buried Hill Geothermal Reservoirs in the Jizhong Depression, Bohai Bay Basin, China

The Jizhong Depression is located in the western Bohai Bay Basin, eastern China. The deep strata are mainly composed of carbonate buried hill, and the shallow strata are a mainly siliciclastic deposition. In the present work, the Na-K-Mg triangle diagram and geothermometers were used to investigate the geochemical characteristics of shallow groundwater and reservoir temperature features of three geothermal reservoirs in the depression, including the Ordovician, the Cambrian, and the Precambrian Wumishan Formation. The results showed that the geothermal water in the depression could be divided into three groups: group I, Cl· HCO 3 -Na type; group II, Cl-Na type; and group III, Cl-Na·Ca type. By using the Na-K-Mg triangle diagram, group II and group III geothermal water samples were identified as the partially equilibrated water, whose temperature of the geothermal reservoir can be calculated based on the cation geothermometers. The ranges of the calculated temperature of the shallow strata and the deep strata are 91~146°C and 147~176°C, respectively. It has the good results obtained with some cation geothermometers in a geothermal system hosted in carbonate rocks like the studied area. The analysis workflow and calculation data obtained in this work contribute to the evaluation of the temperature field and the exploration and development of the geothermal resources in the Bohai Bay Basin.