Sri Gemawati
Department of Mathematics, Riau University, Pekanbaru, Indonesia.

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THE GRAPH OF DIAGRAM GROUPS FROM DIRECT PRODUCT OF THREE FREE SEMIGROUPS Gemawati, Sri; Bin Ahmad, Abd. Ghafur
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.68.209-214

Abstract

"PDF File"DOI : http://dx.doi.org/10.22342/jims.13.2.68.209-214
Pengembangan Teorema Morley pada Segiempat Barutu, Fabelia Andani; Mashadi, Mashadi; Gemawati, Sri
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 2 No 1 (2018): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Institut Keguruan dan Ilmu Pendidikan Veteran Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medives.v2i1.526

Abstract

Pada umumnya teorema Morley diberlakukan pada segitiga, dalam tulisan ini akan dikembangkan ide teorema Morley untuk bangun datar dengan sisi yang lebih banyak (dalam hal ini segi empat) dan menentukan rumus panjang sisi segiempat Morley tersebut. Segiempat yang dibahas yakni persegi, persegi panjang, belah ketupat, layang-layang, dan trapesium sama kaki. Pembuktian dalam tulisan ini menggunakan cara yang lebih sederhana dengan konsep kesebangunan dan konsep trigonometri. Kata kunci: Teorema Morley, konsep kekongruenan, trigonometri.   ABSTRACT Morley’s Theorem generally applies in triangle. This paper applied Morley’s Theorem in quadrilateral to determine the side lenght of Morley’s quadrilateral. Quadrilaterals discussed in this paper are square, rectangle rhombus, kite, and isoscelestrapezium. Simpler way is used to prove by applying congruence and trigonometric concepts. Keywords: Morley’s Theorem, congruence concept, trigonometry.
Pengembangan Teorema Napoleon pada Segienam Yuliardani, Novita; Mashadi, Mashadi; Gemawati, Sri
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 2 No 1 (2018): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Institut Keguruan dan Ilmu Pendidikan Veteran Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medives.v2i1.527

Abstract

Pada umumnya teorema Napoleon diberlakukan pada segitiga. Dalam tulisan ini dibahas teorema Napoleon pada segienam, yaitu segienam yang memiliki tiga pasang sisi sejajar dan sama panjang dengan kasus segienam beraturan yang dibangun mengarah ke luar. Pembuktian pada teorema Napoleon ini dengan menggunakan konsep kesebangunan dan konsep trigonometri. Kata kunci: Teorema Napoleon, konsep kekongruenan, trigonometri.   ABSTRACT Napoleon’s Theorem generally applies in triangle. This paper applied Napoleon’s Theorem in hexagons that have three pairs of parallel sides in same length and regular hexagons that are built outward. Provided proofs use the congruence and trigonometric concepts. Keywords:  Napoleon’s Theorem, congruency concept, trigonometry.
MENENTUKAN NILAI EIGEN DAN VEKTOR EIGEN DARI MATRIKS TRIDIAGONAL Sari, Nur Meliana; Gemawati, Sri; Sirait, Asli
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses how to obtain eigenvalues and their corresponding eigenvectors of tridiagonal matrices, of the form     a bca bb cb cAnnn 1121 210 00 0 000 00 0 0         where  , , b are number complex and  is mapping from a set of integer from 1 to n-1 into a nonnegative integer.
GENERALISASI t-DERIVASI di B-ALJABAR Fitria, Elsi; Gemawati, Sri; Amalina, Amalina; Nurbai, Reihani Jemila
MAp (Mathematics and Applications) Journal Vol 3, No 1 (2021)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (504.941 KB) | DOI: 10.15548/map.v3i1.2638

Abstract

Pada artikel ini didefinisikan konsep generalisasi left-right t-derivasi ((l, r)-t-derivasi) dan generalisasi right-left t-derivasi ((r, l)-t-derivasi) di B-aljabar dan diselidiki sifat-sifatnya. Kemudian, juga diselidiki sifat-sifat dari suatu generalisasi t-derivasi yang regular di B-aljabar. Pada bagian akhir, dibahas sifat-sifat generalisasi (l, r)-t-derivasi dan generalisasi (r, l)-t-derivasi di B-aljabar 0-komutatif.
Generalisasi fq-Derivasi di B-Aljabar Fitria, Elsi; Gemawati, Sri; Sugianti, Khoirunnisa
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3752

Abstract

In this paper, another type of derivation in B-algebra is defined, by defining two self-maps, one of which is a derivation in B-algebra (denoted by d) and the other is called generalization of derivation in B-algebra (denoted by D). Based on this definition, some properties of generalized -derivation and generalized -derivation in B-algebra are constructed, then there is one common property, that is if d and D are identity functions, then D is regular. Then, the concept is used as a reference to define the generalized -derivation in B-algebra. In the last section, we discuss some properties of generalized -derivations in B-algebras.