The test results show that the fast Fourier process with multiple time superposition and a dimension length of 40 is most beneficial to the accuracy of the model. The loss curve value of the convolutional recurrent network model (CRN) is much lower than the other three models. The music tone recognition model learns better. The accuracy rate value…

The discrete Fourier series is a valuable tool developed and used by mathematicians and engineers alike. One of the most prominent applications is signal processing. Usually, it is important that the signals be transmitted fast, for example, when transmitting images over large distances such as between the moon and the earth or when generating…

Thermogravimetry coupled with Fourier transform infrared spectroscopy (TG-FTIR) is a useful technique for the thermal and structural characterization of materials at academic and research levels. This paper describes an experiment for chemistry students to understand the use of TG-FTIR for advanced qualitative and quantitative thermal analysis…

This manuscript presents an exercise that utilizes mathematical software to explore Fourier transforms in the context of model quantum mechanical systems, thus providing a deeper mathematical understanding of relevant information often introduced and treated as a "black-box" in analytical chemistry courses. The exercise is given to…

Contribution: This article proposes a new definition of conceptual understanding (CU) specific to engineering. It then measures CU of signals and systems (S&S) in senior undergraduate students and describes how students approach conceptual problems. Background: Previous studies across multiple engineering subjects show students have low CU at…

Undeniably omnipresent in our everyday lives, electronic signal compression is a classical example that illustrates the ubiquity of mathematics in high-end technology and sciences. When dealing with piles of files, it is essential that each file takes up as little storage space as possible while maintaining quality. The cloud-based--available…

A functionalized fiber (PAN[subscript ADMAP]F) was synthesized by immobilizing "N,N'"-dimethyl-"N"-(4-pyridinyl)-1,3-propanediamine (ADMAP, a DMAP analogue) onto the surface of polyacrylonitrile fibers (PANF). The structure and morphology of the functionalized fibers were characterized by Fourier transform infrared…

Experimentation is a contributing factor to the interest and meaningful learning of Science. In Geology and Earth Science, the effects of soil textures, settlements, and water-holding capacity are parameters for landslides in Barotac Viejo and other flooded areas. Landslides are triggered during heavy rainstorms, causing severe property damage and…

Few laboratory exercises exist that introduce undergraduate students to both the concepts and instrumentation used in rotational spectroscopy. Because of this gap in undergraduate laboratory training, a teaching laboratory for the pure rotational spectroscopy of benzonitrile has been developed and reported. Owing to benzonitrile's recent discovery…

This paper is the result of a research done from the Socioepistemological Theory of Mathematics Education, perspective in which we enquire about the reasons to study trigonometric Fourier series in electrical engineering, and what historical and epistemological conditions can be considered to develop more profound meanings when this topic is…

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

This experiment introduces undergraduate organic chemistry students to analysis and interpretation of Fourier transform infrared (FTIR) spectra through characterization of postconsumer plastics. Students use FTIR spectra to identify and differentiate the common recyclable polymer resins #1-6: polyethylene terephthalate (PETE), polyethylene (HDPE…

Purpurogallin (PPG), an orange-red crystalline compound from nutgalls and oak bark, is an exemplar of numerous, ubiquitous natural colorants, biosynthesized through oxidative dimerization-decarboxylation of phenolic compounds. It possesses antioxidant, anticancer, and anti-inflammatory effects. Herein, a robust method is presented to allow…

Virtual resources team up to create a computational grid, which is used in computation-intensive problem solving. A majority of these problems require high performance resources to compute and generate results, making grid computation another type of high performance computing. The optimization in computational grids relates to resource…

In this paper, we describe an experiment for the undergraduate physical chemistry laboratory in which students determine the speed of sound in the gases He, N[subscript 2], CO[subscript 2], and CF[subscript 3]CH[subscript 2]F. The experimental apparatus consists of a closed acrylic tube containing the gas under study. White audio noise is injected…