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Yue Zhao – ProQuest LLC, 2024
Multivariate Functional Principal Component Analysis (MFPCA) is a valuable tool for exploring relationships and identifying shared patterns of variation in multivariate functional data. However, interpreting these functional principal components (PCs) can sometimes be challenging due to issues such as roughness and sparsity. In this dissertation,…
Descriptors: Factor Analysis, Functional Literacy, Data Use, Mathematical Applications
Alexey L. Voskov – International Journal of Mathematical Education in Science and Technology, 2024
QR decomposition is widely used for solving the least squares problem. However, existing materials about it may be too abstract for non-mathematicians, especially STEM students, and/or require serious background in linear algebra. The paper describes theoretical background and examples of GNU Octave compatible MATLAB scripts that give relatively…
Descriptors: Mathematics, Algorithms, Data Science, Mathematical Concepts
Jiang, Yongfeng; Li, Yuan – International Journal of Information and Communication Technology Education, 2022
This paper has designed a professional and practical SIMD computer mathematical model based on the SIMD physical machine model combined with the variable addition method. Furthermore, the model is applied in image collection, processing, and display operations, and a SIMD data parallel image processing system is finally established by absorbing…
Descriptors: Algorithms, Artificial Intelligence, Computers, Mathematical Models
Amel Awadelkarim – ProQuest LLC, 2023
With the rise in popularity of social media and e-commerce platforms, "discrete math" is at the heart of our online experiences, playing a front-end role in the recommendation of what to click, watch, or buy, or who to follow or friend, as well as a back-end role in data storage, access, and transfer. This thesis focuses on two such…
Descriptors: Algorithms, Mathematical Models, Statistics, Mathematical Applications
Can, Yusuf; Aksoy, Mehmet Akif; Aksoy, Esra; Narli, Serkan – Journal of Educational Technology and Online Learning, 2022
The number and variety of educational mathematics mobile applications (EMMAs) make it difficult to select mobile applications for mathematics learning and teaching. Therefore, in this study, multi-criteria decision-making (MCDM) techniques, which are effectively used in a wide variety of disciplines, were applied to choose among alternative…
Descriptors: Educational Technology, Computer Oriented Programs, Mathematics Education, Mathematical Applications
Yamomoto, Yoneo; Wise, Steven L. – 1980
An order-analysis procedure, which uses graph theory to extract efficiently nonredundant, unidimensional chains of items from multidimensional data sets and chain consistency as a criterion for chain membership is outlined in this paper. The procedure is intended as an alternative to the Reynolds (1976) procedure which is described as being…
Descriptors: Algorithms, Data Processing, Mathematical Applications, Testing
Coscarelli, William C. – Educational Technology, 1978
Clarifies the nature of sequential operations and explores some research in the area that has implications for the instructional designer. (Author)
Descriptors: Algorithms, Instructional Design, Literature Reviews, Mathematical Applications
Lederman, Barbara J. – Journal of Computer-Based Instruction, 1975
Useful programming tricks are suggested to allow the reduction of many equations and non-polynomial-like expressions and the subsequent application of the mathematical algorithms. (Author)
Descriptors: Algebra, Algorithms, Computer Programs, Computer Science

Rogosinski, H. P. – Mathematical Spectrum, 1972
A brief history of the development of our present day Gregorian calendar is given. Methods are then given, based on congruences, to determine such things as the week-day for any given date and the date for Easter in any year. (LS)
Descriptors: Algorithms, Congruence, Enrichment Activities, Mathematical Applications
Robin, Anthony C. – Mathematics Teaching, 1972
Descriptors: Algebra, Algorithms, Calculus, Manipulative Materials

Wahlstom, M. W.; Hunka, S. M. – Journal of Experimental Education, 1972
An algorithm, based upon factor analytic theory, is presented to illustrate one solution to the problem of selecting items for a test. (Authors)
Descriptors: Algorithms, Criteria, Factor Analysis, Item Analysis
Kirk, David B. – 1971
In this paper a reliable method is found for approximating the value of the Bivariate Normal Correlation Coefficient, rho, given values of the joint probability and the normal deviates, h and k, or the related areas. This technique finds useful application in the computation of the tetrachoric correlation coefficient, r, when the underlying…
Descriptors: Algorithms, Computer Programs, Correlation, Mathematical Applications

Kingston, J. Maurice – Two-Year College Mathematics Journal, 1974
Descriptors: Algorithms, College Mathematics, Mathematical Applications, Mathematics Education

Harper, Dean – Psychometrika, 1972
A procedure is outlined showing how the axiom of local independence for latent structure models can be weakened. (CK)
Descriptors: Algorithms, Factor Analysis, Factor Structure, Mathematical Applications

Schonemann, Peter H.; Wang, Ming-Mei – Psychometrika, 1972
Relations between maximum likelihood factor analysis and factor indeterminacy are discussed. (CK)
Descriptors: Algorithms, Correlation, Factor Analysis, Factor Structure