Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Algebra (11)
- Discrete Mathematics and Combinatorics (6)
- Algebraic Geometry (5)
- Logic and Foundations (5)
- Other Mathematics (5)
-
- Analysis (4)
- Education (3)
- Applied Mathematics (2)
- Arts and Humanities (2)
- Curriculum and Instruction (2)
- Dynamic Systems (2)
- Educational Methods (2)
- Higher Education (2)
- History (2)
- Numerical Analysis and Computation (2)
- Other Physical Sciences and Mathematics (2)
- Science and Mathematics Education (2)
- Set Theory (2)
- Adult and Continuing Education (1)
- Control Theory (1)
- Educational Technology (1)
- Geometry and Topology (1)
- History of Science, Technology, and Medicine (1)
- Non-linear Dynamics (1)
- Ordinary Differential Equations and Applied Dynamics (1)
- Other Applied Mathematics (1)
- Physics (1)
- Institution
-
- City University of New York (CUNY) (6)
- Rose-Hulman Institute of Technology (5)
- University of New Mexico (4)
- California State University, San Bernardino (3)
- Gettysburg College (2)
-
- Liberty University (2)
- University of Kentucky (2)
- Ursinus College (2)
- Chapman University (1)
- Louisiana State University (1)
- Montclair State University (1)
- Otterbein University (1)
- San Jose State University (1)
- University of New Hampshire (1)
- West Chester University (1)
- Western Michigan University (1)
- Keyword
-
- Number theory (3)
- Abstract algebra (2)
- Mathematics (2)
- Modular arithmetic (2)
- Abstract topology (1)
-
- Activelearning (1)
- Algebraic topology (1)
- Almost prime (1)
- Analysis (1)
- Analytic combinatorics (1)
- AntiDefined (1)
- Arithmetical Structures (1)
- Bernoulli (1)
- Bhargava (1)
- Bijections (1)
- Binary operations (1)
- Cantor Polynomials (1)
- Central L-value (1)
- Chinese remainder theorem (1)
- Coding theory (1)
- Combinatorics (1)
- Commutative rings (1)
- Complex (1)
- Composition laws (1)
- Connected graphs (1)
- Cryptography (1)
- Cryptosystem (1)
- Cubic forms (1)
- Cybergogy (1)
- Cycles (1)
- Publication
-
- Rose-Hulman Undergraduate Mathematics Journal (5)
- Branch Mathematics and Statistics Faculty and Staff Publications (4)
- Dissertations, Theses, and Capstone Projects (3)
- Electronic Theses, Projects, and Dissertations (2)
- Math Faculty Publications (2)
-
- Number Theory (2)
- Publications and Research (2)
- Senior Honors Theses (2)
- Theses and Dissertations--Mathematics (2)
- Department of Mathematics Faculty Scholarship and Creative Works (1)
- Dissertations (1)
- Faculty Publications (1)
- Honors Theses and Capstones (1)
- LSU Doctoral Dissertations (1)
- Mathematics Faculty Publications (1)
- Mathematics, Physics, and Computer Science Faculty Articles and Research (1)
- Q2S Enhancing Pedagogy (1)
- Student Theses and Dissertations (1)
- Undergraduate Honors Thesis Projects (1)
- Publication Type
Articles 31 - 34 of 34
Full-Text Articles in Number Theory
Quadruple Neutrosophic Theory And Applications Volume I, Florentin Smarandache, Memet Şahin, Vakkas Uluçay, Abdullah Kargin
Quadruple Neutrosophic Theory And Applications Volume I, Florentin Smarandache, Memet Şahin, Vakkas Uluçay, Abdullah Kargin
Branch Mathematics and Statistics Faculty and Staff Publications
Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the single valued neutrosophic set theory has been extensively studied in books and monographs introducing neutrosophic sets and its applications, …
Improved, Extended, And Total Impact Factor Of A Journal, Florentin Smarandache
Improved, Extended, And Total Impact Factor Of A Journal, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this short paper we recall the (Garfield) Impact Factor of a journal, we improve and extend it, and eventually present the Total Impact Factor that reflects the most accurate impact factor.
The Infinite Is The Chasm In Which Our Thoughts Are Lost: Reflections On Sophie Germain's Essays, Adam Glesser, Bogdan D. Suceavă, Mihaela Vajiac
The Infinite Is The Chasm In Which Our Thoughts Are Lost: Reflections On Sophie Germain's Essays, Adam Glesser, Bogdan D. Suceavă, Mihaela Vajiac
Mathematics, Physics, and Computer Science Faculty Articles and Research
"Sophie Germain (1776–1831) is quite well-known to the mathematical community for her contributions to number theory [17] and elasticity theory (e.g., see [2, 5]). On the other hand, there have been few attempts to understand Sophie Germain as an intellectual of her time, as an independent thinker outside of academia, and as a female mathematician in France, facing the prejudice of the time of the First Empire and of the Bourbon Restoration, while pursuing her thoughts and interests and writing on them. Sophie Germain had to face a double challenge: the mathematical difficulty of the problems she approached and the …
Codes, Cryptography, And The Mceliece Cryptosystem, Bethany Matsick
Codes, Cryptography, And The Mceliece Cryptosystem, Bethany Matsick
Senior Honors Theses
Over the past several decades, technology has continued to develop at an incredible rate, and the importance of properly securing information has increased significantly. While a variety of encryption schemes currently exist for this purpose, a number of them rely on problems, such as integer factorization, that are not resistant to quantum algorithms. With the reality of quantum computers approaching, it is critical that a quantum-resistant method of protecting information is found. After developing the proper background, we evaluate the potential of the McEliece cryptosystem for use in the post-quantum era by examining families of algebraic geometry codes that allow …