The concept of balance gets evoked regularly in mathematics to teach concepts such as balancing equations, yet rarely do we engage learners’ bodily sense of balance in the classroom. What if we learned concepts not just through seeing diagrams, touching manipulatives, or hearing language, but ...
Proof (MathematicsThe paper describes an exploration into the concept of the rate of convergence in a university classroom. It is well known in mathematics that this concept leads to a modern construction of infinitesimals and their orders.doi:10.1080/00207390210143990...
The incubation period of Covid-19, which is the time between exposure to the virus and the onset of symptoms, typically ranges from 2 to 14 days. However, it is essential to note that some individuals infected with the virus may remain asymptomatic throughout the entire incubation period and...
. If no higher power of congruence is used, for convenience we may drop the word quadratic and simply say residue or nonresidue modulo . Euler’s criterion is a useful tool for evaluating the existence of solutions to the congruence equation (1), i.e., determining whether is a quadratic ...
zero mass transfer boundary conditions have been used. The Brownian motion and thermophoresis effects are incorporated in the nanofluid model. Magnetic dipole effect has been implemented. A system of partial differential equations is used to represent thermodynamics and gyrotactic microorganisms motion, whi...
Models based on this architecture, such as GPT-4 have demonstrated a remarkable ability to perform a variety of language tasks without the need for task-specific fine-tuning, showcasing strong zero-shot and few-shot learning capabilities. This feature allows these models to effectively respond to...
The IM itself is based on the lesser known multi-set classifier, MSC52, which can be made intrinsically interpretable semantically and visually using the concept of nearest neighbors. For the CSE, we experiment with convolutional network (Conv1D), support vector machine (SVM), Adaboost, random ...
deep meaning of mathematical concepts and their practical application ability. By interpreting the semantic mathematics of the Master Theorem as a case, we analyze the intuitive understanding of the complexity analysis of the divide-and-conquer algorithm and the deep meaning of the mathematical concept...
Interatomic potentials are essential to go beyond ab initio size limitations, but simulation results depend sensitively on potential parameters. Forward propagation of parameter variation is key for uncertainty quantification, whilst backpropagation has
Using a sample of 1134 firm-year observations of non-financial family firms listed on the Spanish stock market in the period 2003–2020, we explore ho