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EKSISTENSI TITIK TETAP DALAM RUANG METRIK PARSIAL Umam, Ahmad Khairul
Jurnal Mahasiswa Matematika Vol 2, No 3 (2014)
Publisher : Jurnal Mahasiswa Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (284.917 KB)

Abstract

Dalam artikel ini dipelajari eksistensi dan ketunggalan titik tetap suatu pemetaan dalam ruang metrik parsial yang dilengkapi 2 metrik parsial. Kata Kunci : titik tetap, ruang metrik parsial, metrik parsial.
Efektifitas media Aplimath pada mata kuliah kalkulus I sebagai peningkatan motivasi belajar mahasiswa Pukky Tetralian Bantining Ngastiti; Aris Alfan; Ahmad Khairul Umam
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 12, No 1 (2021): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v12i1.6979

Abstract

Pada dasawarsa terakhir perkembangan teknologi begitu pesat, salah satunya di bidang smartphone. Teknologi smartphone begitu canggih salah satunya yaitu penggunaan operasi sistem android yang terus berkembang dan terbarukan. Bidang kalkulus adalah cabang ilmu matematika yang mencakup limit, differensial, deret tak terhingga, dan integral. Tujuan dari penulisan ini yaitu menguji efektivitas dari media aplimath berbasis android pada mata kuliah kalkulus I. Aplimath merupakan salah satu alternatif media pembelajaran berbasis teknologi android. Metode dalam penelitian ini menggunakan desain borg and gall dengan 6 langkah yaitu potensi dan masalah, pengumpulan data, desain produk, validasi desain, revisi desain, ujicoba produk. Hasil dari penelitian yaitu rata-rata hasil angket yang diberikan mahasiswa dari berbagai aspek penilaian yaitu sebesar 85%. Sedangkan berdasarkan hasil belajar yaitu terdapat perbedaan hasil belajar antara nilai uts dengan nilai media yaitu sebesar 13,33 dan dengan menggunakan uji-t didapat thitung 2,588 > ttabel 2,365. Dari hasil tersebut dapat disimpulkan bahwa media aplimath berbasis android pada matakulah kalkulus I efektif digunakan sebagai alternatif sumber belajar berbasis teknologi bagi mahasiswa prodi matematika di Universitas Billfath.Kata Kunci: Aplimath, Efektifitas, Kalkulus I
APLIKASI DESMOS DALAM PENYELESAIAN MASALAH PERSAMAAN TRIGONOMETRI Ahmad Isroil; Ahmad Khairul Umam; Supriyanto Supriyanto
Karangan: Jurnal Bidang Kependidikan, Pembelajaran, dan Pengembangan Vol. 4 No. 1 (2022): Februari 2022
Publisher : FKIP, Universitas Billfath Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (606.007 KB) | DOI: 10.55273/karangan.v4i1.171

Abstract

Era digital menuntut segala bentuk aktivitas dikerjakan dengan cepat, efektif, dan efisien, dengan pemanfaatan teknologi yang mutakhir. Pada era reformasi teknologi 4.0 saat ini, berbagai informasi dapat diperoleh dalam waktu yang singkat melalui perangkat pintar dengan aplikasi tertentu, salah satunya adalah aplikasi untuk menyelesaikan masalah persamaan trignometri sederhana. Penyelesaian masalah persamaan trigonometri memerlukan suatu usaha perhitungan yang teliti dan kompleks. Pada artikel ini penulis menguraikan sebuah aplikasi untuk penyelesaian masalah persmaaan trigonometri secara efektif, cepat, dan akurat dengan menggunakan aplikasi desmos.
Existence and Uniqueness of Fixed Points in Cone Metric Spaces for ω-distance Ahmad Khairul Umam; Nihaya Alivia C. Dewi; Pukky Tetralian B. Ngastiti
Jurnal Matematika MANTIK Vol. 8 No. 2 (2022): September - November
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.2.105-112

Abstract

BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN KONTINU DI RUANG METRIK KOMPAK Ahmad Khairul Umam; Ahmad Isro'il; Pukky Tetralian B. N.
Jurnal Matematika dan Sains (JMS) Vol. 1 No. 2 (2021): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v1i2.114

Abstract

The fixed point principle is very important in solving linear equation, ordinary differential equation, partial differential equation, and integral equation. The famous fixed point theorem is Banach's fixed point theorem. Kannan's fixed point theorem is generalisation of Banach's fixed point theorem. This article discusses some theorems that generalisations from Kannan's fixed point theorem with continuity mapping. Some theorems are discussed in this article guarantee the existence and uniqueness of a fixed point.
ANALISIS JUMLAH DANA DESA MENGGUNAKAN METODE REGRESI LINEAR SEDERHANA Imro’atun Najiyah; Ahmad Khairul Umam
Jurnal Matematika dan Sains (JMS) Vol. 1 No. 2 (2021): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v1i2.115

Abstract

According to (Undang-Undang, 2014) “a village” is a village and traditional village. “a village” is a legal community unit that has territorial boundaries that are authorized to regulate and manage government affairs, the interests of the local community based on community initiatives, rights of origin, and/or traditional rights that are recognized and respected in the system of government of the Unitary State of the Republic of Indonesia. This article discusses total of village funds from village original income and transfer income in 2018, 2019 and 2020 in Weru Village, Paciran, Lamongan. We use Simple Linear Regression method. The data analysis technique is quantitative descriptive. It will describes and interprets an object or phenomenon by using numbers. From results, a simple linear regression equation is with correlation that means the correlation is not significant. And then, Calculation of and results that . It means that Ha (Hypothesis) is rejected. So, it can be concluded that the relationship between village original income and transfer income to the total of village funds has not significant effect.
TITIK TETAP REICH DI DALAM RUANG b-METRIK Ahmad Khairul Umam; Krisna Adilia Daniswara
Jurnal Matematika dan Sains (JMS) Vol. 2 No. 2 (2022): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.552273/jms.v2i02.175

Abstract

Problem of linear equation, integral equation, and differential equation can be solved with a fixed point. One of generalization of metric space is b-metric space. This article discusses a lemma, a theorem and an example in b-metric space. We discuss a theorem about uniqueness and existence of fixed point.
EKSISTENSI DAN KETUNGGALAN TITIK TETAP BERSAMA DI RUANG METRIK CONE (KERUCUT) UNTUK PASANGAN FUNGSI EKSPANSIF Indah Saniatur Rohma; Ahmad Khairul Umam
Jurnal Matematika dan Sains (JMS) Vol. 3 No. 1 (2023): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v3i1.193

Abstract

The metric space is one of the most important designs in the field of functional analysis. In 2007 Huang and Zhang introduced the concept of a metric space into a cone metric space. They have proved several fixed point theorems for contraction functions using cone normality. The aim of this study is to examine the singularity of the common fixed points in the cone metric space for pairs of expansive functions. This research was conducted using the literature study method, namely by analyzing and outlining the designs already available in the literature. Furthermore, from this study it can be proven that the onto (surjective) function that satisfies the contractive condition in the cone metric space has a single fixed point together.
The Fifth Coefficient Approximation of The Inverse Strongly Convex Function Krisna Adilia Daniswara; Aris Alfan; Ahmad Khairul Umam
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 2 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i2.4977.2023

Abstract

This paper discusses the fifth coefficient approximation of the inverse strongly convex function. Strongly convex function is a subclass of convex function. Those functions are included as univalent functions. Using corresponding lemmas, we give sharp limits for the fifth coefficient of the inverse strongly convex function. The limit is sharp if the value of the approximation has the same value as the limit. We verify that the limit of the fifth coefficient of the inverse strongly convex function differs from that of the strongly convex function in some interval but still have the same value in a point. Besides, we also explain that the sharp limit of the fifth inverse coefficient is less than or equal to one.
The Application of Dicrete Wavelet Transform for Digital Image Compression Ahmad Khairul Umam; Pukky Tetralian Bantining Ngastiti; Aris Alfan; Zaqiyatus Shahadah; Amanda Fatma Muamalah
Jurnal Matematika Sains dan Teknologi Vol. 25 No. 1 (2024)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v25i1.3955.2024

Abstract

This article explains Discrete Wavelet Transform (DWT) in image compression. Wavelet transform is a generalization of Fourier transform, consisting of discrete and continuous wavelet transform. DWT has many uses, including image compression, fingerprint recognition, and image denoising. This research aims to know the steps of digital image compression using DWT and compare the original and resulting images. Efforts of DWT in digital image compression go by DWT's process, determining the threshold, sorting the absolute value of the image whether it is minor or more significant (equal to) threshold value, then is processed, Inverse Discrete Wavelet Transform (IDWT). This research explains the Peak Signal-to-Noise Ratio (PSNR), computing time, and compression ratio for three examples: the image of the cameraman, Lena, and a cat. The results determine that the highest PSNR values are wavelet of coiflets 3 for the cameraman, biorthogonal 3.5 for Lena, and coiflets 3 for the cat. The fastest computation times are wavelet of symlets 4 for the cameraman, symlets 4, coiflets 3 for Lena, and Daubechies 4 for the cat. Then, the highest compression ratios are wavelet of symlets 4, biorthogonal 3.5, coiflets 3 for the cameraman, Haar for Lena, and symlets 4, biorthogonal 3.5 for the cat. The results of this research are we get steps of the discrete wavelet transform for digital image compression. Also, we obtain types of wavelets with the highest PSNR values, the fastest computation times, and the highest compression ratios.