A modelling of the natural logarithm and Mercator series as 5^th, 6^th, 7^th order Bézier curve in plane

Şeyda Kılıçoglu; Semra Yurttançıkmaz

Makale detayları

A modelling of the natural logarithm and Mercator series as 5^th, 6^th, 7^th order Bézier curve in plane

Yazarlar:

Şeyda Kılıçoglu | Semra Yurttançıkmaz

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

MANAS Journal of Engineering Vol.12 Issue 2, pp.185-191

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335980

pISSN:

1694-7398

Anahtar kelimeler:

Özet:

 In this study first, natural logarithm function fxlnx with base e has been examined as polynomial function of 5th, 6th,7th order Bézier curve. By modelling matrix representation of 5th, 6th,7th order Bézier curve we have found the control points in plane. Further, Mercator series for the curves ln1x and ln1-x have been written too as the polynomial functions as 5th, 6th,7th order Bézier curve in plane based on the control points with matrix form in E2. Finally, the curve ln1-x2 has been expressed as 5th, 6th,7th order Bézier curve, examined the control points and given matrix forms.

 In this study first, natural logarithm function fxlnx with base e has been examined as polynomial function of 5th, 6th,7th order Bézier curve. By modelling matrix representation of 5th, 6th,7th order Bézier curve we have found the control points in plane. Further, Mercator series for the curves ln1x and ln1-x have been written too as the polynomial functions as 5th, 6th,7th order Bézier curve in plane based on the control points with matrix form in E2. Finally, the curve ln1-x2 has been expressed as 5th, 6th,7th order Bézier curve, examined the control points and given matrix forms.

 In this study first, natural logarithm function fxlnx with base e has been examined as polynomial function of 5th, 6th,7th order Bézier curve. By modelling matrix representation of 5th, 6th,7th order Bézier curve we have found the control points in plane. Further, Mercator series for the curves ln1x and ln1-x have been written too as the polynomial functions as 5th, 6th,7th order Bézier curve in plane based on the control points with matrix form in E2. Finally, the curve ln1-x2 has been expressed as 5th, 6th,7th order Bézier curve, examined the control points and given matrix forms.

 In this study first, natural logarithm function fxlnx with base e has been examined as polynomial function of 5th, 6th,7th order Bézier curve. By modelling matrix representation of 5th, 6th,7th order Bézier curve we have found the control points in plane. Further, Mercator series for the curves ln1x and ln1-x have been written too as the polynomial functions as 5th, 6th,7th order Bézier curve in plane based on the control points with matrix form in E2. Finally, the curve ln1-x2 has been expressed as 5th, 6th,7th order Bézier curve, examined the control points and given matrix forms.

Makale detayları

A modelling of the natural logarithm and Mercator series as 5^th, 6^th, 7^th order Bézier curve in plane

Yazarlar:

Şeyda Kılıçoglu | Semra Yurttançıkmaz

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

MANAS Journal of Engineering Vol.12 Issue 2, pp.185-191

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335980

pISSN:

1694-7398

Natural logarithm

Mercator series

5^thorder Bézier curve

6^thorder Bézier curve

7^thorder Bézier curve.

Sayı

Makale detayları

A modelling of the natural logarithm and Mercator series as 5^th, 6^th, 7^th order Bézier curve in plane

Yazarlar: Şeyda Kılıçoglu | Semra Yurttançıkmaz

Yayıncı: Kyrgyz-Turkish Manas University

Ana Başlıklar: Numerical and Computational Mathematics (Other)

Dergi: MANAS Journal of Engineering Vol.12 Issue 2, pp.185-191

Belge Tipi: Makale

Yayın Tarihi: 12/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001335980

pISSN: 1694-7398

Natural logarithm

Mercator series

5^thorder Bézier curve

6^thorder Bézier curve

7^thorder Bézier curve.

Sayı

Yazarlar:

Şeyda Kılıçoglu | Semra Yurttançıkmaz

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

MANAS Journal of Engineering Vol.12 Issue 2, pp.185-191

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001335980

pISSN:

1694-7398