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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Journal of Natural Sciences and Mathematics Research Edumatsains Teorema: Teori dan Riset Matematika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Eksakta : Berkala Ilmiah Bidang MIPA M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Leibniz: Jurnal Matematika Journal of Fundamental Mathematics and Applications (JFMA) Euclid Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)
Badrulfalah Badrulfalah
Matematika, Fakultas MIPA, Universitas Padjadjaran
Agriculture, Biological Sciences & Forestry Arts Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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SIFAT SUB RUANG TOPOLOGI HASIL KALI RUANG METRIK KERUCUT Badrulfalah Badrulfalah; Khafsah Joebaedi; Iin Irianingsih
Euclid VOL 4, NO 2 (2017): EDISI JULI
Publisher : Universitas Swadaya Gunung Jati.

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (448.039 KB) | DOI: 10.33603/e.v4i2.418

Abstract

Penelitian ini membahas tentang  ruang topologi hasil kali ruang metrik kerucut, khususnya tentang aksioma keterhitungan pertama pada subruangnya. Untuk membuktikan sifat, pertama-tama ditunjukkan bahwa ruang topologi hasil kali dua ruang metrik kerucut memenuhi aksioma keterhitungan pertama, selanjutnya ditunjukkan bahwa setiap subruangnya  juga memenuhi sifat tersebut dengan menunjukkan setiap elemen dari setiap subruangnya memiliki basis lokal terhitung. Hasilnya adalah aksioma keterhitungan pertama pada topologi hasil kali dua ruang metrik kerucut adalah hereditas.Kata kunci: Mertik kerucut, aksioma keterhitungan pertama, subruang, basis lokal, hereditas
Kekontraktifan Pemetaan pada Ruang Metrik Kerucut Badrulfalah Badrulfalah; Iin Irianingsih
Jurnal Matematika Integratif Vol 9, No 2: Oktober, 2013
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (227.955 KB) | DOI: 10.24198/jmi.v9.n2.10192.161-166

Abstract

 ABSTRAK Makalah ini membahas tentang pemetaan kontraktif pada ruang metrik kerucut dengan bentuk syarat kontraktif tertentu, khususnya mengenai eksistensi titik tetapnya. Dengan menggunakan sifat Cauchy dari barisan iteratif, dapat dibuktikan bahwa pemetaan kontraktif pada ruang metrik kerucut dengan syarat terkait memiliki titik tetap tunggal.Kata Kunci: ruang metrik kerucut, pemetaan kontraktif, barisan Cauchy, titik tetap.
PENENTUAN HARGA KONTRAK ASURANSI JIWA DWIGUNA UNIT LINK MENGGUNAKAN METODE POINT TO POINT Dwi Susanti; Iin Irianingsih; Qurrotun A’yun A; Muhamad Deni Johansyah; Badrulfalah Badrulfalah
In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism) Vol 18 No 2 (2019): In Search
Publisher : LPPM UNIBI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37278/insearch.v18i2.213

Abstract

Some people now prefer to invest their money because it is considered more profitable than following traditional life insurance. Life insurance that there is an element of investment and provide protection to the insured is endowment unit link life insurance. Endowment unit link life insurance is an insurance that combines traditional endowment insurance with modern unit link insurance. In this research, the formulation of single premium net life of endowment unit link life insurance using Point to Point method to find the value of premium to be paid by the insured to the insurance company. Data used in this research is stock closing price for case study at PT. Bank Central Asia Tbk and the 45 years old insured data obtained from Mortalita Indonesia Table 2011. Based on the research result, the single premium net endowment unit link life insurance of 10 years for a man aged 45 years with the initial stock price of Rp 15,500 and the number of shares of 100 shares is Rp 15,605,951.
PENGARUH PERKEMBANGAN PASAR ASURANSI JIWA TERHADAP PERTUMBUHAN EKONOMI DI INDONESIA MENGGUNAKAN ANALISIS REGRESI Iin Irianingsih; Dwi Susanti; Nibros Komara; Muhamad Deni Johansyah; Badrulfalah Badrulfalah
In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism) Vol 18 No 2 (2019): In Search
Publisher : LPPM UNIBI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37278/insearch.v18i2.214

Abstract

Life insurance is a contractual agreement between the policy holder or the insured and the insurance company as the guarantor and the insurance company will pay a nominal amount of money if there is a risk of death to the insurance policy holder. Insurance has been going on in Indonesia since the Dutch colonial era. The growth of insurance awareness is certainly inseparable from the influence of increasing public income which is at the same time an indication of economic growth. Regression analysis is a statistical technique used to study and model the relationships between research variables. This study discusses the influence of the development of the life insurance market on economic growth in Indonesia in the 2003-2017 period. The method used is a multiple linear regression model with independent variables are Life Insurance Penetration (LIP) and Life Insurance Density (LID), while the dependent variable is per capita Real Gross Domestic Product (RGDP). Based on the results of the analysis it was found that LIP significantly had a negative effect on RGPD per capita, while LID significantly had a positive effect on RGDP per capita.
AN EXACT SYMPLECTIC STRUCTURE OF LOW DIMENSIONAL 2-STEP SOLVABLE LIE ALGEBRAS Edi Kurniadi; Kankan Parmikanti; Badrulfalah
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 8 No 2 (2024): Januari
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v8i2.5319

Abstract

In this paper, we study a Lie algebra equipped by an exact symplectic structure. This condition implies that the Lie algebra has even dimension. The research aims to identify and to contruct 2-step solvable exact symplectic Lie algebras of low dimension with explicit formulas for their one-forms and symplectic forms. For case of four-dimensional, we found that only one class among three classes is 2-step solvable exact symplectic Lie algebra. Furthermore, we also give more examples for case six and eight dimensional of Lie algebras with exact symplectic forms which is included 2-step solvable exact sympletic Lie algebras. Moreover, it is well known that a 2-step solvable Lie algebra equipped by an exact symplectic form is nothing but it is called a 2-step solvable Frobenius Lie algebra.
The Irreducible Unitary Representation of SU(2) and Its Lie algebra Representations Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 4 (2024): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i4.653

Abstract

We study the three dimensional special unitary group  whose the Lie algebra is given by   . The research aims to construct a representation of  and  realized on the inner product  space  of all homogeneous polinomials of degree  and  of all homogeneous polinomials of degree  which satisfying  irreducibility and unitarity conditions. Namely, The action of    and  are presented on the spaces  and  respectively. In the first step, we computed all representations of  on  and .   Furthermore, in the second step, by simply connectedness property of  then the irreducible unitary representation of Lie algebra  realized on  can be obtained from the  representation by using derived representation. The results showed the explicit formulas of representations of    and
SEPUTAR ALJABAR ENVELOPING UNIVERSAL DARI ALJABAR LIE FROBENIUS BERDIMENSI 4 Kurniadi, Edi; Badrulfalah, Badrulfalah; Parmikanti, Kankan
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN (EPSILON: JOURNAL OF PURE AND APPLIED MATHEMATICS) Vol 18, No 2 (2024)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v18i2.13798

Abstract

Setiap aljabar Lie mempunyai aljabar enveloping universal dan bersifat tunggal. Dalam penelitian ini, dipelajari aljabar enveloping universal dari suatu aljabar Lie Frobenius berdimensi 4. Tujuannya adalah untuk membuktikan bahwa aljabar enveloping universal dari suatu aljabar Lie Frobenius berdimensi 4 bersifat primitif. Pertama-tama, dikonstruksi suatu basis untuk aljabar enveloping universal menggunakan Teorema Poincare-Birkhoff-Witt untuk menentukan secara eksplisit aljabar enveloping universalnya dan langkah kedua, menentukan karakteristik aljabar enveloping universal hasil konstruksi. Hasil dalam penelitian ini menunjukkan bahwa setiap aljabar enveloping universal dari aljabar Lie Frobenius berdimensi 4 senantiasa bersifat primitif.
Formulasi Infinitesimal Generators Grup Lie Satu Parameter dari Transformasi Translasi dan Scaling Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Leibniz: Jurnal Matematika Vol. 5 No. 02 (2025): Leibniz: Jurnal Matematika
Publisher : Program Studi Matematika - Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas San Pedro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59632/leibniz.v5i02.496

Abstract

Grup Lie transformasi dapat dikarakterisasi melalui infinitesimal generators yang membentuk aljabar Lie. Infinitesimal generators dapat diaplikasikan untuk menyelesaikan persamaan diferensial biasa (PDB) maupun persamaan diferensial parsial (PDP) baik yang linear maupun nonlinear. Tujuan penelitian ini adalah untuk memberikan rumus ekplisit infinitesimal generators berkenaan dengan transformasi grup Lie satu parameter. Metode penelitian yang digunakan merupakan kombinasi dari metode kualitiatif berupa studi literatur khususnya transformasi translasi dan scaling dan metode kuantitatif dengan menentukan rumus eksplisit infinitesimal generators dan analisisnya. Hasil yang diperoleh adalah bentuk rumus eksplisit infinitesimal generators yang bersesuaian dengan jenis transformasi yang digunakan. Hasil ini bisa digunakan untuk penelitian selanjutnya dalam menyelesaikan model matematika reaksi difusi konveksi (RDK) dalam PDB maupun PDP sebagai salah satu langkah dalam aplikasi simetri Lie.  
REPRESENTASI su(2) DAN KOMPLEKSIFIKASI su(2)_C=sl(2,C) PADA RUANG VEKTOR POLINOM HOMOGEN Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 9 No 2 (2024): Desember
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v9i2.9259

Abstract

Aljabar Lie su(N) mempunyai kompleksifikasi sl(N,C). Dengan kata lain, suNC≅sl(N,C). Dalam artikel ini, dipelajari representasi aljabar Lie su(N) dan sl(N,C) khususnya untuk N=2 yang direalisasikan pada ruang vektor polinom homogen kompleks dua variabel berderajat dua. Tujuannya adalah untuk mengkonstruksi representasi sl(2,C) dari representasi su(2) dan  membuktikan bahwa representasi yang diperoleh bersifat unitar dan tak tereduksi. Selanjutnya, karena grup Lie dari  su(2) bersifat simply connected maka representasi su(2) dapat dikonstruksi dari grup Lie-nya. Di sisi lain, karena su2C≅sl(2,C) maka representasi dari sl(2,C) dapat dikonstruksi melalui perluasan linear-kompleks dari representasi su(2) dan hasilnya dapat dinyatakan dalam bentuk operator linear.
Classification of types A and A_+ from low dimensional standard and non-standard filiform Lie Algebras Kurniadi, Edi; Parmikanti, Kankan; Badrulfalah, Badrulfalah
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 2 (2023): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In this paper, we study low-dimensional Filiform Lie algebras. Specifically, three-dimensional standard Filiform Lie algebras and five-dimensional non-standard Filiform Lie algebras. The classification method was given in the following stage. For given a low-dimensional Filiform Lie algebra, we compute its second centre. We showed that three-dimensional Filiform Lie algebra-called Heisenberg Lie algebra-is type ???? and ????+ as well. On the other hand, for ????≥3, the standard Filiform Lie algebras are type ???? but not type ????+. In this case, we give a concrete example of case five-dimensional Heisenberg Lie algebra. Moreover, we proved that five-dimensional non-standard Filiform Lie algebra is type ???? but not type ????+. It is still an open problem to classify types ???? and ????+ for the general case of non-standard Filiform Lie algebra of dimension ≥6.
Co-Authors Agus Supriatna Bahtiar Bahtiar D Susanti Dwi Susanti Dwi Susanti Dwi Susanti Edi Kurniadi Edi Kurniadi Eman Lesmana Fauzi Akhmad I Irianingsih Iin Irianingsih Iin Irianingsih Iis Irianingsih K Parmikanti K Parmikanti Kafsah Joebaedi Kankan Parmikanti Khafsah Joebaedi Khafsah Joebaedi Muhammad Deni Johansyah N Warwah Nendi Suhendi Syafei Nibros Komara Nurul Gusriani Qurrotun A’yun A Robin Kosasih