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- Neutrosophic δβ-closure (1)
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- Neutrosophic δβ-separated sets (1)
Articles 1 - 7 of 7
Full-Text Articles in Algebraic Geometry
The Neutrosophic Delta-Beta Connected Topological Spaces, Raja Mohammad Latif
The Neutrosophic Delta-Beta Connected Topological Spaces, Raja Mohammad Latif
International Journal of Emerging Multidisciplinaries: Mathematics
Real-life situations always include indeterminacy. The Mathematical tool which is well known in dealing with indeterminacy is neutrosophic. The notion of neutrosophic set is generally referred to as the generalization of intuitionistic fuzzy sets. In this paper, the notion of neutrosophic δβ-connectedness and δβ-disconnectedness in neutrosophic topological spaces is introduced. Also, we introduce neutrosophic δβ-separated sets, neutrosophic super δβ-connected spaces, neutrosophic extremely δβ-disconnected spaces, and neutrosophic strongly δβ-connected spaces. We investigate and study several properties and characterizations concerning connectedness in these spaces.
On Isomorphic K-Rational Groups Of Isogenous Elliptic Curves Over Finite Fields, Ben Kuehnert, Geneva Schlafly, Zecheng Yi
On Isomorphic K-Rational Groups Of Isogenous Elliptic Curves Over Finite Fields, Ben Kuehnert, Geneva Schlafly, Zecheng Yi
Rose-Hulman Undergraduate Mathematics Journal
It is well known that two elliptic curves are isogenous if and only if they have same number of rational points. In fact, isogenous curves can even have isomorphic groups of rational points in certain cases. In this paper, we consolidate all the current literature on this relationship and give a extensive classification of the conditions in which this relationship arises. First we prove two ordinary isogenous elliptic curves have isomorphic groups of rational points when they have the same $j$-invariant. Then, we extend this result to certain isogenous supersingular elliptic curves, namely those with equal $j$-invariant of either 0 …
On (Semi)Topological Bcc-Algebras, F. R. Setudeh, N. Kouhestani
On (Semi)Topological Bcc-Algebras, F. R. Setudeh, N. Kouhestani
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we introduce the notion of (semi)topological BCC-algebras and derive here conditions that imply a BCC-algebra to be a (semi)topological BCC-algebra. We prove that for each cardinal number α there is at least a (semi)topological BCC-algebra of order α: Also we study separation axioms on (semi)topological BCC-algebras and show that for any infinite cardinal number α there is a Hausdorff (semi)topological BCC-algebra of order α with nontrivial topology.
Propeller, Joel Kahn
Propeller, Joel Kahn
The STEAM Journal
This image is based on several different algorithms interconnected within a single program in the language BASIC-256. The fundamental structure involves a tightly wound spiral working outwards from the center of the image. As the spiral is drawn, different values of red, green and blue are modified through separate but related processes, producing the changing appearance. Algebra, trigonometry, geometry, and analytic geometry are all utilized in overlapping ways within the program. As with many works of algorithmic art, small changes in the program can produce dramatic alterations of the visual output, which makes lots of variations possible.
A New Four Point Circular-Invariant Corner-Cutting Subdivision For Curve Design, Jian-Ao Lian
A New Four Point Circular-Invariant Corner-Cutting Subdivision For Curve Design, Jian-Ao Lian
Applications and Applied Mathematics: An International Journal (AAM)
A 4-point nonlinear corner-cutting subdivision scheme is established. It is induced from a special C-shaped biarc circular spline structure. The scheme is circular-invariant and can be effectively applied to 2-dimensional (2D) data sets that are locally convex. The scheme is also extended adaptively to non-convex data. Explicit examples are demonstrated.
On A-Ary Subdivision For Curve Design Ii. 3-Point And 5-Point Interpolatory Schemes, Jian-Ao Lian
On A-Ary Subdivision For Curve Design Ii. 3-Point And 5-Point Interpolatory Schemes, Jian-Ao Lian
Applications and Applied Mathematics: An International Journal (AAM)
The a-ary 3-point and 5-point interpolatery subdivision schemes for curve design are introduced for arbitrary odd integer a greater than or equal to 3. These new schemes further extend the family of the classical 4- and 6-point interpolatory schemes.
On A-Ary Subdivision For Curve Design: I. 4-Point And 6-Point Interpolatory Schemes, Jian-Ao Lian
On A-Ary Subdivision For Curve Design: I. 4-Point And 6-Point Interpolatory Schemes, Jian-Ao Lian
Applications and Applied Mathematics: An International Journal (AAM)
The classical binary 4-point and 6-point interpolatery subdivision schemes are generalized to a-ary setting for any integer a greater than or equal to 3. These new a-ary subdivision schemes for curve design are derived easily from their corresponding two-scale scaling functions, a notion from the context of wavelets.