Graphing Calculator Research Articles

Digital Divide in Education Field of India – A Way to Eliminate

Education became highly technology-driven after this 2019 pandemic. This situation has widened new pathways in various dimensions in the life of every educators and learners. In today’s technology-driven world, teachers may no longer be the sole keepers of knowledge in the classroom else The chalkboard, books, homework, and teacher-classroom culture has shifted, making way for online classrooms and personalized way of learning to include customized learning. The use of simulations, models, graphic calculators, animation, 3D images, and video clips on smart screens bring to life the virtual classroom experience making it much more interactive and exciting. In spite of the government’s push towards a Digital India, there is a wide gap in Internet usage in urban and rural India. While Internet penetration in urban India is about 64.85 per cent, it’s just 20.26 per cent in rural areas.1The report done by Internet and Mobile Association of India (IAMAI) on the growth rate of internet and mobile users is critically low. It has been over a year since schools across the country were forced to shut in the wake of the corona virus pandemic. The pandemic has brought to fore the digital divide in the country and made education a privilege only a few can afford. This article is based on the review of available primary and secondary literature and authors have tried to understand the issues related to digital divide, the important role of media teachers to bridging the gap of digital divide among rural college going young students. Key words: Digital Divide, Rural, College Students, Literature Review.

Nucleophilic Fluorination Catalyzed by a Cyclometallated Rhodium Complex.

Quantitative catalytic nucleophilic fluorination of a range of acyl chlorides to acyl fluorides was promoted by a cyclometallated rhodium complex [(η5,κ2C-C5Me4CH2C6F5CH2NC3H2NMe)- RhCl] (1). 1 can be prepared in high yields from commercially available starting materials using a one-pot method. The catalyst could be separated, regenerated, and reused. Rapid quantitative fluorination generated the fluoride analogue of the active pharmaceutical ingredient probenecid. Infrared in situ monitoring verified the clean conversion of the substrates to products. VTNA graphical kinetic analysis and DFT calculations lead to a postulated reaction mechanism involving a nucleophilic Rh–F bond.

Fourier lightfield microscopy: a practical design guide.

In this work, a practical guide for the design of a Fourier lightfield microscope is reported. The fundamentals of the Fourier lightfield are presented and condensed on a set of contour plots from which the user can select the design values of the spatial resolution, the field of view, and the depth of field, as function of the specifications of the hardware of the host microscope. This work guides the reader to select the parameters of the infinity-corrected microscope objective, the optical relay lenses, the aperture stop, the microlens array, and the digital camera. A user-friendly graphic calculator is included to ease the design, even to those who are not familiar with the lightfield technology. The guide is aimed to simplify the design process of a Fourier lightfield microscope, which sometimes could be a daunting task, and in this way, to invite the widespread use of this technology. An example of a design and experimental results on imaging different types of samples is also presented.

Design of Intelligent Bicycle Status Indication Apparatus Based on STM32 Microcontroller

As the improvement of people’s living standards, more and more motor vehicles are emerging on the roads, which pose a great threat to the bicycle riders on the same routes. Among all the road accidents, more than half are caused by the inadequacy of bicycle signals. To guarantee the safety of these bicycle riders, it is important to show the real-time status of bicycles. Basically, the research method of this paper is design, simulation, and virtual verification. Based on STM32 microcontroller, the overall design scheme of an intelligent bicycle status indication apparatus was proposed, and the hardware and software design was specified. After scheme design, simulation was carried out and showed that with high-performance STM32 microcontroller, the apparatus can promptly show the status of bicycles, and the alarm will ring when other vehicles are in the dangerous range. Theoretical analysis which includes graphical analysis and calculation was successfully conducted, which proved that this design can effectively serve as a status indication apparatus and protect the bicycle riders from collisions.

Development of Electronic Students’ Worksheet Linear Function-Problem Based Using Desmos Application

One effort to facilitate students in online learning and face-to-face learning during Covid-19 pandemic is the use of digital student worksheets, as an effort to practice students’ cognitive in mathematics. These research goals are to develop digital students’ worksheet of linear function-problem based using Desmos to decrease learning loss effect in students’ motivation and comprehension. And, also to know, the eligibility analysis result of worksheet that has already been made. Desmos is a web-based application, which specially created to be used in mathematics learning. It combines features of graphic calculator and classroom activities to help students study and love math. Research model in this study used ADDIE with a small group experiment using six students of SMPN 3 Surabaya as subjects. Eligibility analysis from the worksheet gains a validity score of 3.71, with very valid criteria. Practical score 3.74, with very practical criteria. And effective, since all six subjects in Study Result Test, gain higher score than the minimum score criteria of SMPN 3 Surabaya. It may take note that, it needs bigger experiments with more subjects to evaluate effective aspect further and comprehensively. This worksheet can be an alternative media for secondary students to practice linear function.

The design and properties of galvanic anticorrosive coatings for important precision parts of farming equipment

The paper explores the possibility of using a number of nickel alloys in multilayer coatings to decrease nickel consumption and preserve the functional effect of the coating. The following is proved by the graphical calculation technique using experimental data on the galvanic properties of the multilayer coating parts. Nickel-iron, nickel-phosphorus and nickel-tin alloy can be applied as a lower coating layer rather than semi-shiny, shiny or composite nickel. It is advisable to use a nickel-iron alloy as the middle (second) layer, and the concentration of iron depends on the composition of the first and third layers. If a nickel-iron alloy is applied as the material of the first layer, then the second layer may be semi-shiny (Ns-sh) or shiny (Nsh) nickel. The substitution of nickel layers for nickel alloys allows to considerably (about 10%) decrease the cost of a multilayer coating, while the protective properties are remaining the same. The application of the same nickel-containing alloys as single-layer anticorrosive coatings shows a lower level of protective properties.

Displaying parametric curves with virtual and physical tools

Parametric curves play an important role in mathematics and engineering education. The purpose of this paper is to introduce the hypotrochoid family of curves and to provide ideas and tools for teaching the topic. We give the general parametric equations of hypotrochoids and show that several special curves can be derived from these equations. To display the curves we use the Hypotrochoid Equation Tracer, which is a dynamic application made by Desmos graphic calculator. In addition we have created a LEGO robot called Spikograph, that models a Spirograph and draws different hypotrochoids providing a physical experience for students. Finally, we have compiled a student project to practice and deepen the knowledge about hypotrochoids.

Особенности расчета основных технологических параметров ректификационных колонн для разделения изотопов

The article analyzes the advantages and disadvantages of known methods for calculating the reflux ratio and the number of theoretical separation stages of distillation columns used to separate substances with similar physical and chemical properties and isotopes. It is shown that graphical calculation methods are outdated and are not suitable for calculating the technological parameters of such systems. The results of calculations of the optimal values of the indicated parameters of distillation columns using analytical methods for the anisole-BF3system used for the separation of boron isotopes are presented. It is shown that the method of calculation using the excess reflux coefficient β, in which the step of changing β is 0.001, is more accurate and faster. Good convergence of calculation results with known literature data is shown.

Machine Learning-Based Risk Prediction of Critical Care Unit Admission for Advanced Stage High Grade Serous Ovarian Cancer Patients Undergoing Cytoreductive Surgery: The Leeds-Natal Score.

Achieving complete surgical cytoreduction in advanced stage high grade serous ovarian cancer (HGSOC) patients warrants an availability of Critical Care Unit (CCU) beds. Machine Learning (ML) could be helpful in monitoring CCU admissions to improve standards of care. We aimed to improve the accuracy of predicting CCU admission in HGSOC patients by ML algorithms and developed an ML-based predictive score. A cohort of 291 advanced stage HGSOC patients with fully curated data was selected. Several linear and non-linear distances, and quadratic discriminant ML methods, were employed to derive prediction information for CCU admission. When all the variables were included in the model, the prediction accuracies were higher for linear discriminant (0.90) and quadratic discriminant (0.93) methods compared with conventional logistic regression (0.84). Feature selection identified pre-treatment albumin, surgical complexity score, estimated blood loss, operative time, and bowel resection with stoma as the most significant prediction features. The real-time prediction accuracy of the Graphical User Interface CCU calculator reached 95%. Limited, potentially modifiable, mostly intra-operative factors contributing to CCU admission were identified and suggest areas for targeted interventions. The accurate quantification of CCU admission patterns is critical information when counseling patients about peri-operative risks related to their cytoreductive surgery.

HOTS in Quadratic Equations: Teaching Style Preferences and Challenges Faced by Malaysian Teachers

The purpose of this study is to identify the teaching styles and problems faced by teachers as they attempt to cultivate higher-order thinking skills (HOTS) in the topic of quadratic equations. This study used a qualitative approach via structured interview involving four participants who are experienced mathematics teachers from three districts in Malaysia. Data obtained were analysed using the ATLAS.ti 8 software by dividing the transcripts into small codes based on thematic analysis. The results revealed that Malaysian teachers have limited and general understanding about higher-order thinking skills for the topic of quadratic equations. The interview results also found that existing teaching styles mainly involve teacher-centred strategies that emphasise on the memorisation of procedures or facts as well as steps to solve quadratic equation problems. Among the challenges faced by teachers were stated as students’ acceptance, lack of teaching aids, teaching strategies in the classroom, and students’ thinking skills. The findings of this study can help to refine and improve several shortcomings and weak students can be exposed to the learning of higher-order thinking skills in quadratic equations via real-life projects. It is proposed for future research to focus on integrating digital literacy, such as Desmos Graphing Calculator, in cultivating higher-order thinking skills for quadratic equations.

In Silico Discovery of Multistep Chemistry Initiated by a Conical Intersection: The Challenging Case of Donor-Acceptor Stenhouse Adducts.

Detailed mechanistic understanding of multistep chemical reactions triggered by internal conversion via a conical intersection is a challenging task that emphasizes limitations in theoretical and experimental techniques. We present a discovery-based, hypothesis-free computational approach based on first-principles molecular dynamics to discover and refine the switching mechanism of donor-acceptor Stenhouse adducts (DASAs). We simulate the photochemical experiment in silico, following the "hot" ground state dynamics for 10 ps after photoexcitation. Using state-of-the-art graphical processing units-enabled electronic structure calculations we performed in total ∼2 ns of nonadiabatic ab initio molecular dynamics discovering (a) critical intermediates that are involved in the open-to-closed transformation, (b) several competing pathways which lower the overall switching yield, and (c) key elements for future design strategies. Our dynamics describe the natural evolution of both the nuclear and electronic degrees of freedom that govern the interconversion between DASA ground-state intermediates, exposing significant elements for future design strategies of molecular switches.

Numerical and bifurcation analysis of SIQR model

In this mathematical research paper, we analyze in detail the basic SIQR epidemic model. We calculate its reproductive value R0, equilibrium points and analyze the stability of the SIQR system by using Routh-Hurwitz criterion in detail. We also find out the bifurcation value of the SIQR epidemic model by using Routh-Hurwitz criterion. Also, SIQR system is solved numerically by using four different mathematical techniques that are forward Euler scheme, Runge-Kutta (RK-4) method, variational iteration method and nonstandard finite difference scheme (NSFD). Analytical and graphical calculations show that the NSFD method preserves all the important conditions of the basic SIQR epidemic model while the rest three techniques fail to preserve the essential conditions of the system. Convergence analysis of the NSFD scheme has also been performed.

Fully relativistic study of polyatomic closed shell E121X3 (X = F, Cl, Br) molecules: effects of Gaunt interaction, relativistic effects and advantages of an exact-two component (X2C) hamiltonian

In this study, all electron relativistic calculations with 4-component Dirac-Coulomb-Breit (DCB), 4-component Dirac-Coulomb (DC), Dyall's spin-free Dirac-Coulomb (SFDC), exact two-component (X2C) and Levy-Leblond non-relativistic hamiltonians calculations were performed in polyatomic closed shell E121X3 (X = F, Cl, Br) within density functional theory (DFT) with hybrid functional B3LYP, where E121 is the superheavy element (SHE) with Z = 121. The aims of this study were to investigate relativistic effects in polyatomic E121X3 (X = F, Cl, Br) and verify the importance of Gaunt effects. The results demonstrate that although the effect of Gaunt interaction is small on change equilibrium bond lengths and bonding, it is important to obtain reliable vibrational frequencies. Moreover, it is possible to use the X2C spin-free hamiltonian to lower computational costs in a fully relativistic investigation of polyatomics including the SHE of the 8th period. Finally, a comparison between electron localization function (ELF) analysis and Mulliken population analysis suggests bonding similarity between LaBr3 and E121Br3. Graphical Abstract Relativistic 4-Component calculations suggest bond similarity between LaBr3 and E121Br3.

USING GRAPHIC CALCULATOR IN TRIGONOMETRIC LEARNING: A DIDACTICAL DESIGN FOR TEACHER

This study explored the activitiesusing a graphing calculator of 10th-grade high school students on the trigonometry topic. A total of 65 students were divided into two classes, the first class consisted of 32 students, and the second class consisted of 33 students. The main objective of this study is to present classroom activities enriched with graphing calculators and observe responses about teaching with this approach. This study is research on developing learning designs within the Didactical Design Research (DDR) framework presented in an exploratory narrative. Data were collected by using two trigonometry worksheets and lesson observations. The worksheets were constructed based on the following focus areas: behaviour of graphs, constructing related-angle formula, and overall performance of the learner. The result of this research is a learning design that has been tested on 65 high school students. The research results on how to analyze the results of the implementation of structured learning designs provide information that educators can use, including the use of graphing calculators to help and make it easier for students to identify graphs more quickly and make students accustomed to using trigonometric function symbols. Another finding from structured instructional designs is that working in groups allows students to share experiences more effectively.

Classroom practice and craft knowledge in teaching mathematics using Desmos: challenges and strategies

While traditional graphing calculators have become commonplace in high school mathematics classrooms, newer and more powerful connected graphing packages (CGP) are less pervasive. This study observes how four teachers integrate a CGP into their high school mathematics classrooms, with a focus on the challenges the teachers faced and the corresponding strategies they put into practice to deal with those challenges. Ruthven’s Structuring Features of Classroom Practice framework is used to frame reported data and to identify craft knowledge. Overall, it is concluded that the relevant craft knowledge was developed by these teachers over time based on practice, rather than formal training, and is unique to classroom context. It is argued that the types of challenges faced by each of the teachers were dependent on their particular expertize. Those with more experience with integration of the CGP in action displayed a more fluent and problem-free practice. The strategies reported in this study are also thought to be helpful to teachers and researchers, and potentially supportive of future integration of CGPs.

Application areas of the angle reflector

The article provides examples of how the device known as the «angle reflector» a few decades ago has been increasingly used in various fields of science and technology in recent years. Angle reflectors are designed to change (reflect) optical and radar rays in the direction, opposite to the original direction. At present, angle reflectors are widely used to ensure the safety of road transport on dangerous road sections. Radio wave reflectors have the same design as optical ones; therefore, in radio detection and location, angle reflectors are used to send warning signals to ship radars on bridge supports, beacons and buoys. Modern angle reflectors attached to meteorological probes allow determining the direction and speed of the wind at high altitude, which is especially important in the study of the outer space. In recent years, devices have been developed to improve the accuracy of radar stations calibration. The examples of graphical calculation of angle reflectors presented in the article clearly demonstrate the primary role of geometry in the design activity of an engineer. The graphical calculation is based on the theoretical positions of projective geometry. The design and calculation of optical systems is carried out by the graphoanalytic method, since only with a combination of graphical and analytical methods it is possible to accurately calculate the course of a light beam, laser, or radio wave and thereby determine the design parameters of the devices. The article focuses on a graphical method for calculating two types of angle reflectors using orthogonal projection, due to which modern engineers will be able to create more up-to-date designs of optical systems with a wide range of applications.

WITHDRAWN: GPGPU-Based Fast Calculation Of Large Matrices And Dynamic Prediction Of Sports Injury Images

Abstract Sports injuries are usually direct impact and application of force than the body is structurally acceptable, is caused by excessive use. Common injuries, bruises, sprains, strains will include joint injury and nose bleeding. General-Purpose Computation on Graphics Processing Units (GPGPU) is Central Processing Units (CPU) usually using a graphics processing a processing unit a computer graphics calculations Graphics Processing Units (GPU), traditionally the central processing unit run the calculation of processing applications. Dynamic prediction, the patient is assumed to have been exposed to danger at a predictable point in time, has an intuitive representation associated with the estimated probability of the occurrence. The Drawback of the existing method does not give proper sports injury images and calculation. The proposed method of the Binary Support Vector System (BSVS) algorithm is to give the proper classification, result, and prediction.

Inversion kinetics of some E/Z 3-(benzylidene)-2-oxo-indoline derivatives and their in silico CDK2 docking studies.

The structure-based design of some CDK2 inhibitors with a 3-(benzylidene)indolin-2-one scaffold as potential anticancer agents was realized. Target compounds were obtained as E/Z mixtures and were resolved to corresponding E- and Z-diastereomers. In silico studies using MOE 2019.01 software revealed better docking on the targeted enzyme for the Z-diastereomer compared to the E-one. A time-dependent kinetic isomerization study was carried out for the inversion of E/Z diastereomers in DMSO-d6 at room temperature, and were found to obey the first order kinetic reactions. Furthermore, a determination of the kinetic inter-conversion rate order by graphical analysis method and calculation of the rate constant and half-life of this kinetic process were carried out. For the prediction of the stability of the diastereomer(s), a good multiple regression equation was generated between the reaction rates of isomerization and some QM parameters with significant p value.

Research on Transmission and Transformation Engineering Cost System Based on BIM 3D Modelling Technology

Taking the concept of service-oriented design as the concept, the paper designs the digital platform architecture based on the integrated application ideas and technical methods of the IFC standard and the three-dimensional geospatial engineering cost information platform, and builds a 3DGIS+BIM digital power engineering cost based on the B/S network architecture. information platform. Combined with the application value of BIM technology in the field of engineering cost, the applicability of BIM technology in the management of transmission and transformation engineering cost is first analysed; then the BIM technology is studied layer by layer from the aspects of graphical calculation, three-dimensional design and full process management Promoting strategies for application of engineering cost management; Finally, from the perspective of policy guidance, industry standards, BIM platform construction, and training of BIM talents, the application guarantee mechanism of BIM technology in transmission and transformation project cost management is proposed, with a view to BIM technology in transmission and transformation projects Provide reference for application promotion in cost management.

First-order linear partial differential equations using the GeoGebra and GeoGebra 3D graphing calculator

In this paper we will show, through various examples of how are the animated solutions of certain linear partial differential equations of the first order with constant homogeneous coefficients through GeoGebra applets designed for a first course of Partial Differential Equations for the engineering careers of the University of Antofagasta-Chile