Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

The process of diffusion is intimately related to random molecular displacement and is central to many problems in chemistry. Here, we provide an intuitive derivation of the diffusion equation based on the analysis of the random trajectories of particles generated and plotted by simple MATLAB and Python scripts. The codes are very simple and…

In today's global economy, the origin of the food we eat is becoming more and more difficult to identify. Verifying the authenticity of products to protect supply chains is a complicated problem that requires a multidisciplinary approach. Chemical authentication of foodstuffs often includes a mass spectrometer detector; however, they are costly…

Generative artificial intelligence (AI) allows for the transformation of written text into artistic images of varying styles. Scholars and researchers are beginning to explore the benefits of this technology to improve reflective practices and critical analyses in education. The extent to which AI-generated images can be used in nursing education…

Single case experimental designs are an important research design in behavioral and medical research. Although there are design standards prescribed by the What Works Clearinghouse for single case experimental designs, these standards do not include statistically derived power computations. Recently we derived the equations for computing power for…

In an Introduction to Digital Practices course, university students were unable to apply their newfound software program knowledge to design intricate art projects. A digital guide called a Tool Lab was created so that students could be pre-introduced to the tools and functionality of targeted software programs. Designed with the concepts of…

At the school level statistics begins with exploratory data analysis, or EDA. Statistical learning goes on to include statistical inference, which will be discussed in the second part of this article. In this article, the author will talk about EDA and CODAP. EDA can be thought of as looking for patterns in data using graphs and simple statistics…

This article illustrates that the task design and problem selection are of characteristic influence to evoke sense-reason-act programming (SRA) among primary school pupils when programming robots. Research shows that the task design influences the development of computational thinking (CT). The literature provides evidence that the context, the…

Variation theory, which is a theory of learning developed by Marton and others, has quickly become popular in education research. Our purpose of this paper is to articulate the application of variation theory in the form of a number of concrete design principles that offer prescriptive and practical guidelines for improving the designs of…

In recent years, there have been numerous initiatives regarding the incorporation of building performance simulation tools (BPSTs) in the field of architecture, but unfortunately they have not been considered in updates of the curricula of building designers' careers at a global level. This paper presents an example of the use of BPSTs in the…

Open-source software movement presents a viable alternative to commercial operating systems. Linux-based operating systems are freely available and a competitive option for computer users who want full control of their computer software. Thus, it is relevant to inquire on how the open-source movement might influence user technology switching…

The Mayan city of Chichen Itza is full of legends and mysticism. There, in the temple of Kukulkan, in front of a great pyramid with 91 central staircases, an interesting physical-acoustic phenomenon occurs that has fed mythical stories attributed to the Mayas. When clapping your hands in front of the steps, the echo sounds very different from the…

Inferential reasoning is an integral part of science and civic society, but research shows that it is a problematic domain for many people. One possibility for a more accessible approach to inferential reasoning is to use randomization tests via computer simulations. A case study was conducted with primary preservice teachers after they had passed…

In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…

In academic writing, Second Language (L2) writing teachers play an active and vital role in the success of L2 writing students' academic writing journey. With the advances of technology, digital writing tools increase their acceptance and usability as a language learning tool. One of this emergent digital software is "Grammarly."…