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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 300 Documents
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AUTOMORFISMA GRAPH Suryoto, Suryoto
MATEMATIKA Vol 4, No 3 (2001): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Automorfisma dari graph sederhana G adalah suatu permutasi P dari himpunan titik – titik dari G yang bersifat mengawetkan ketetanggaan. Misalkan A matriks ketetanggaan dari G, maka syarat perlu dan cukup P suatu automorfisma adalah berlakunya hubungan PA = AP, dengan P adalah matriks (permutasi) penyajian dari P. Pada tulisan ini hanya akan dikaji graph transitif titik dan graph transitif sisi dengan memanfaatkan konsep aksi dan orbit dari suatu grup. Diperlihatkan juga bahwa kedua tipe graph di atas saling bebas, yaitu bahwa graph transitif titik belum tentu transitif sisi demikian juga berlaku sebaliknya, graph transitif sisi tidak harus berakibat graphnya transitif titik.
PELABELAN TOTAL TRIMAGIC SISI TERURUT TITIK-a PADA BEBERAPA GRAF Aprilia, Maita; Soelistyo Utomo, Robertus Heri; Farikhin, Farikhin
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Given graph G with number of vertex p and number of edge q. In this paper, we discussed a-vertex consecutive edge trimagic total labeling for several graphs which contain Bistar and Cycle Graph.
SOLUSI MASALAH KNAPSACK COLLAPSING DENGAN PENDEKATAN MASALAH KNAPSACK BAKU DAN PROGRAM DINAMIK indarsih, Indarsih; widodo, widodo
MATEMATIKA Vol 5, No 3 (2002): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Masalah knapsack collapsing merupakan generalisasi masalah knapsack 0-1. Kapasitas pada masalah knapsack collapsing merupakan fungsi turun ( non-increasing function ) atas jumlah item yang dimuat. Masalah ini dapat diselesaikan dengan dua pendekatan, yaitu : reduksi ke masalah knapsack 0-1 dan pendekatan program dinamik. Masalah knapsack collapsing dapat diselesaikan dalam waktu pseudo-polinomial dengan kedua algoritma tersebut. Kedua algoritma tersebut akan diimplementasikan ke program dalam bahasa Pascal/C. Data instance yang diberikan akan dijalankan pada kedua program tersebut. Kemudian waktu tempuhnya dicatat. Eksperimen komputasi membuktikan bahwa kedua algoritma tersebut efisien.
TERAPAN FUNGSI DENSITAS EMPIRIK DENGAN PENDEKATAN DERET FOURIER UNTUK ESTIMASI DIAGRAM PENGENDALI KUALITAS Santoso, Rukun
MATEMATIKA Vol 10, No 3 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Any continues function on the Hilbert space L2[-p,p] can be represented as Fourier series. By this fact, a density function can be estimated by Fourier series as estimator of continues function on L2[-p,p]. Further, this function estimator will be used to derive process parameters that needed on the control quality chart design  
MENYELESAIKAN SISTEM PERSAMAAN LINIER MENGGUNAKAN ANALISIS SVD ahmad, irdam haidir; ratnasari, lucia
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Linear equation system, Ax = b, may be consistent or inconsistent. The approximate solution of  inconsistent of linear equation system can be determined. Gauss elimination or Gauss-Jordan elimination can be used to determine the solution of the consistent of linear equation system, but can’t for the inconsistent of linear equation system. Singular Value Decomposition (SVD) is matrix factorization method that closely associated with the singular value of the matrix. SVD analysis can be used to determined the orthonormal bases for the four fundamental subspaces associated with matrix A. That bases can be used to compute thesolution of the consistent and inconsistent of  linear equation system.  
KEKONVERGENAN BARISAN FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA [a,b] ., Solikhin; Zaki, Solichin; Tjahjana, Redemtus Heru
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Artikel ini membahas tentang kekonvergenan barisan fungsi yang terintegral Henstock-Dunford pada [a,b]. Dalam hal ini dikaji syarat cukup agar limit barisan nilai integral suatu fungsi terintegral Henstock-Dunford sama dengan limit barisan fungsinya. Diperoleh bahwa  untuk menjamin fungsi  terintegral Henstock-Dunford dan limit barisannya sama dengan nilai fungsinya maka barisan fungsi yang terintegral Henstock-Dunford harus konvergen seragam atau barisan fungsi yang terintegral Henstock-Dunford harus konvergen lemah dan monoton lemah serta limitnya ada, atau barisan fungsinya konvergen lemah dan terbatas.
PEMODELAN MATEMATIKA UNTUK JAM AIR JENIS POLYVASCULAR CLEPSYDRA DENGAN KASUS VISCOSITY DOMINATED Dewi, Linda Maria E.; widowati, widowati
MATEMATIKA Vol 11, No 1 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The principle_work of polyvascular clepsydra water clocks is to make the constant flow on the last vessel. A viscosity dominated case can influence a liquid flow in this clepsydra, beside the number of the vessel which build this clepsydra, will influence a constant flow duration. The increasing the number of the vessel will increase the duration of the constant flow. A case study at PT Tirta Sidatama  is given toverify the principle_work of this clepsydra.  
ON THE BREAKING OF GENERATED WAVES RUNNING IN STILL WATER Kusumawinahyu, W.M. Kusumawinahyu
MATEMATIKA Vol 14, No 2 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This research is motivated by the requirement of hydrodynamics laboratories to generate extreme waves for testing ships in steep, large amplitude wave fields. For this purpose, finding criteria that determine if wave breaking will occur is important. Different from initial value problems, in this contribution we will consider the signaling problem: a time signal is prescribed to a wave maker in a wave tank that produces propagating waves running in initially still water. The aim is to observe the resulting nonlinear effects on the waves and to study in which cases the waves will or will not break. This also leads to a threshold value for generated waves, and, moreover, to the location in the tank where wave breaking may occur. To study this, we consider Bichromatic waves and Benjamin Feir-waves, and investigate the evolution by using a numerical simulation code HUBRIS developed by Westhuis; the validity of this code has been tested against laboratory experiments. The result of our investigations is that for both classes the parameters of wave breaking are more extreme in the signaling case than in the case of initial value problem.
GRUP GAMMA PADA KELAS-KELAS EKUIVALENSI G(S) Sumanto, Y.D
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Finite set S with n element can be operated by binary operation. In this paper if is set of binary operation on S that formed as a group, then can be partioned as unintersection classes and every class can be construct as over S.
KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH Irawanto, Bambang
MATEMATIKA Vol 4, No 1 (2001): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, it was learned of the necessary and sufficient condition for finite field with pn elements, p prime and n ³ 1 an integer. A field F is an extention field of a field K if K subfield F. The extension field F of field K is Splitting field of collection polinomial { fi (x) | i Î I } of K if F smallest subfield containing K and all the zeros in of the polinomial fi(x). The zeros of polinomial fi(x) are elements of field F and the elements of F is finite then F is finite field (Galois fileld). F is finite with pn elements, p prime and n ³ 1 an integer if only if F is Splitting field of  - x over Zp.

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