Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
The aim of this paper is to investigate properties of non-Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicativ...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/9925055 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850163449530679296 |
|---|---|
| author | Xinyu Yao Haiming Liu |
| author_facet | Xinyu Yao Haiming Liu |
| author_sort | Xinyu Yao |
| collection | DOAJ |
| description | The aim of this paper is to investigate properties of non-Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular multiplicative plane curves. In addition, we elucidate the connection between the multiplicative evolutoids and the multiplicative pedaloids of a regular multiplicative plane curve. Next, we extend the definitions of multiplicative evolutoids and pedaloids to encompass the multiplicative frontal curves. Finally, we present two examples to demonstrate the main results. |
| format | Article |
| id | doaj-art-d9a5dde6116e4c52badf52265971e5b4 |
| institution | OA Journals |
| issn | 1687-0425 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d9a5dde6116e4c52badf52265971e5b42025-08-20T02:22:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/9925055Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane CurvesXinyu Yao0Haiming Liu1School of Mathematics ScienceSchool of Mathematics ScienceThe aim of this paper is to investigate properties of non-Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular multiplicative plane curves. In addition, we elucidate the connection between the multiplicative evolutoids and the multiplicative pedaloids of a regular multiplicative plane curve. Next, we extend the definitions of multiplicative evolutoids and pedaloids to encompass the multiplicative frontal curves. Finally, we present two examples to demonstrate the main results.http://dx.doi.org/10.1155/ijmm/9925055 |
| spellingShingle | Xinyu Yao Haiming Liu Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves International Journal of Mathematics and Mathematical Sciences |
| title | Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves |
| title_full | Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves |
| title_fullStr | Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves |
| title_full_unstemmed | Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves |
| title_short | Non-Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves |
| title_sort | non newtonian evolutoids and pedaloids of multiplicative plane curves |
| url | http://dx.doi.org/10.1155/ijmm/9925055 |
| work_keys_str_mv | AT xinyuyao nonnewtonianevolutoidsandpedaloidsofmultiplicativeplanecurves AT haimingliu nonnewtonianevolutoidsandpedaloidsofmultiplicativeplanecurves |