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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Anestesiologi Indonesia SAINS DAN MATEMATIKA Journal of Fundamental Mathematics and Applications

Y.D. Sumanto

Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro

Author-ID : 4393926

Decision Sciences, Operations Research & Management Education Health Professions Mathematics Medicine & Pharmacology Public Health

Published : 12 Documents Claim Missing Document

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GRAF SIMETRI LEMAH Hariyanto, Susilo; Sumanto, Y.D.; Fatkhurohman, Fatkhurohman
JURNAL SAINS DAN MATEMATIKA Volume 17 Issue 1 Year 2009
Publisher : JURNAL SAINS DAN MATEMATIKA

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ABSTRAK-Diberikan suatu graf sederhana X dengan himpunan semua titiknya V(Y), himpunan semua garisnya E(X). Himpunan semua automorfisme pada graf X dinotasitan Aut X dan semua endomorfisme dinotasikan denganÂ EndÂ X. Dalam artikel ini, akan diidentifikasi apakah graf X merupakan graf simetri atau graf simeti lemah. Untuk mengidentifikasi diperlukan pumahaman tentang grup, semigrup,Â automorfisme dan endomorfisme dalam graf. Jika pada sembarang pasangÂ titik x,y Ð„ V(X), terdapat pemetaan f Ð„ Aut X sedemikian hingga berlaku f(x) = y maka graf X dikatakan sabagai graf verteks-simetri, sedangkan jika berlaku pada sembarang garis pada X pada graf X dikatakan graf edge-simetri dan jika berlaku pada sembarang titik dan sembarang garis makaÂ disebut graf simetri. Â Jika pemetaan diambil dan End X maka graf simetri yang diperoleh adalah grafÂ simetri yang diperlemah atau disebut graf simetri lemah. Kata kunci : autoformisme dan endoformisme pada graf

ON THE CONVERGENCE THEOREMS OF THE McSHANE INTEGRAL FOR RIESZ-SPACES-VALUED FUNCTIONS DEFINED ON REAL LINE Muslim Ansori; Yosephus D. Sumanto; Novi Rustiana Dewi
PYTHAGORAS Jurnal Pendidikan Matematika Vol 3, No 2: Desember 2007
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

This paper is a partial result of our researchs in the main topic "On The McShane Integral for Riesz-Spaces-valued Functions Defined on the space ". We have constructed McShane integral for Riesz-spaces-valued functions defined on the space by a technique involving double sequences and proved some basic properties which coincides with the McShane Integral for Banach-spaces valued functions defined on real line. Further, we construct some convergence theorems involving uniformly convergence theorems, monotone convergence theorems and Fatous lemma in the sense of this integral.Keywords : Riesz Space, McShane Integral

Perbedaan Pemberian Deksametason Antara Teknik Premedikasi dan Priming Terhadap Jumlah Neutrofil Pasien Bedah Jantung yang Menggunakan Mesin Boy Sumantomo; Widya Istanto Nurcahyo; Hari Hendriarto Satoto
JAI (Jurnal Anestesiologi Indonesia) Vol 9, No 2 (2017): Jurnal Anestesiologi Indonesia
Publisher : Perhimpunan Dokter Spesialis Anestesiologi dan Terapi Intensif

Latar belakang: Bedah jantung terbuka merupakan salah satu jenis operasi dengan trauma yang cukup besar, dalam pelaksanaannya menggunakan mesin jantung paru. Penggunaan mesin jantung paru menyebabkan respon inflamasi yang besar dan ditandai dengan leukositosis (neutrophil). Salah satu cara untuk mengurangi produksi neutrophil ini dengan menggunakan dexamethason, ada beberapa teknik pemberian deksametason diantaranya cara premedikasi dan priming.Tujuan: Membandingkan dexamethason 1 mg/kgBB sebagai premedikasi dan dexamethason 1 mg/kgBB saat priming terhadap jumlah neutrofil post CPB pada operasi jantung.Metode: Penelitian ini merupakan percobaan klinik secara acak yang mengikut sertakan 18 pasien bedah jantung ganti katup dengan general anestesi dan menggunakan mesin jantung paru. Sampel dibagi 2, antara pemberian deksametason teknik premedikasi dan teknik priming. Kelompok premedikasi mendapatkan deksametason 1 mg/kgbb setelah induksi, kelompok priming mendapatkan deksametason 1 mg/kgbb pada mesin jantung paru. Dengan membandingkan jumlah neutrophil pada masing-masing teknik antara preoperasi dan postoperasi.Hasil: pada penelitian ini didapatkan penurunan produksi neutrophil batang untuk teknik premedikasi dengan (p = 0,048) dan terjadi peningkatan neutrophil batang pada teknik priming (p = 0,012). Namun pada pemeriksaan neutrophil segmen terjadi peningkatan yang tidak bermakna untuk teknik premedikasi (p = 0,086) dan peningkatan yang bermakna untuk neutrophil segmen untung teknik priming (p = 0,012).Simpulan: Pemberian dexamethasone 1 mg/kgbb dengan teknik premedikasi terbukti menurunkan jumlah neutrophil batang pada pemeriksaan paska operasi bila dibandingkan pemberian dengan teknik priming. Namun tidak terbukti pada jumlah neutrophil segmen.

BEBERAPA KARAKTERISTIK BARU PADA FUNGSI TERDEKATI Abdul Aziz; Y.D. Sumanto; Solikhin Solikhin; Roberus Heri Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019)
Publisher : Diponegoro University

In this paper, discuss the relationship between approachable function with bounded variations, measurement, and absolute continuity. Futhermore, If f is approachable function of interval [a, b] then f is a bounded variation function and f is a measurable function of interval [a, b]. In relation with absolute continuity, if f is an absolute continuous of interval [a, b] then f is approachable function of [a, b].

RUANG BERNORMA LENGKAP ATAS OPERATOR LINEAR TERBATAS PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; YD Sumanto; Abdul Aziz; Susilo Hariyanto; R. Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Abstract. We are discussed operator norms on space of Dunford integral function. We show that sets of all bounded linear operator from dual space of Banach space into space of Lebesgue integral function is Banach space. Abstrak. Artikel ini membahas norma operator atas operator linear terbatas pada ruang fungsi terintegral Dunford. Himpunan semua operator linear dari ruang dual atas ruang Banach ke ruang fungsi terintegral Lebesgue merupakan ruang bernorma yang lengkap terhadap norma operator yang diberikan.

SEMINORM PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Y.D. Sumanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019)
Publisher : Diponegoro University

This article discussed the seminorm on Dunford integrable functional space. We show that the set of all Dunford integrable functions is linear space. The results were shown that $\left( D[a,b],\ \left\| \ \cdot \ \right\| \right)$ is a seminorm space with function defined by $\left\| f \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\|\le 1 \end{smallmatrix}}{\mathop{\sup }}\,\ \left\{ \underset{E\subset [a,b]}{\mathop{\sup }}\,\,\left| \left( L \right)\int\limits_{E}{{{x}^{*}}f} \right| \right\}$. Furthermore, $\left( D[a,b],\ d \right)$ is a pseudomatrix space with function defined by $d\left( f,g \right)=\left\| f-g \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\|\le 1 \end{smallmatrix}}{\mathop{\sup }}\,\ \left\{ \underset{E\subset [a,b]}{\mathop{\sup }}\,\,\left| \left( L \right)\int\limits_{E}{{{x}^{*}}\left( f-g \right)} \right| \right\}$.

RUANG BERNORMA PADA HIMPUNAN SEMUA FUNGSI TERDEKATI Abdul Aziz; Y.D. Sumanto; Solikhin Solikhin; Robertus Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

In this paper, we discuss that in the approachable functions set can be defined a complete norm. Furthermore, we obtained that all of approachable functions set is a Banach Space.

RELASI GREEN PADA GAMMA-SEMIGRUP YANG DIBANGKITKAN DARI SUATU SEMIGRUP YD Sumanto; Abdul Aziz; Solikhin Solikhin; R. Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

In the Gamma-semigroup generated from a semigroup, we can define some equivalence relations called the Green relation. Furthermore, we can examine the relationship between the Green relation on the Gamma-semigroup and the Green relation on it’s generating semigroup.

OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Y.D. Sumanto; Susilo Hariyanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.

OPERATOR ACCRETIVE KUAT PADA RUANG HILBERT Razis Aji Saputro; Susilo Hariyanto; Y.D. Sumanto
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018)
Publisher : Diponegoro University

Pre-Hilbert space is a vector space equipped with an inner-product. Furthermore, if each Cauchy sequence in a pre-Hilbert space is convergent then it can be said complete and it called as Hilbert space. The accretive operator is a linear operator in a Hilbert space. Accretive operator is occurred if the real part of the corresponding inner product will be equal to zero or positive. Accretive operators are also associated with non-negative self-adjoint operators. Thus, an accretive operator is said to be strict if there is a positive number such that the real part of the inner product will be greater than or equal to that number times to the squared norm value of any vector in the corresponding Hilbert Space. In this paper, we prove that a strict accretive operator is an accretive operator.

Co-Authors Abdul Aziz Fatkhurohman Fatkhurohman Hari Hendriarto Satoto Muslim Ansori Novi Rustiana Dewi R. Heri Soelistyo Utomo Razis Aji Saputro Robertus Heri Sulistyo Utomo Roberus Heri Utomo Solikhin Solikhin Susilo Hariyanto susilo hariyanto Widya Istanto Nurcahyo

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