Melola Discovery

← Melola Discovery

Akses terbuka Jurnal SINTA 1

Development of an Ergonomically - Designed Violin Chinrest Using Additive Manufacturing

Advance Sustainable Science, Engineering and Technology (ASSET) · Vol. 4 No. 2 (2022)

DOI
10.26877/asset.v4i2.13011
ISSN
2715-4211, 2715-4211
Terbit
2022-11-06
Penerbit
Universitas PGRI Semarang
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

This study investigates the general form of the determinant of negative integer powers of a special class of centrosymmetric matrices of even order. For an even positive integer and a positive integer, let denote such a matrix, and consider the matrix obtained by raising to the power. To determine, we first conjecture the general form of the inverse matrix by observing the patterns in the explicit inverses, and. The conjectured form is then verified by showing that and. The resulting inverse is used to construct the matrices, and; from these cases we infer the general structure of. The validity of this general form is established using mathematical induction. Once the matrix has been obtained, an explicit closed-form expression for is derived via the cofactor expansion method. Finally, a numerical example is presented to illustrate the application of the determinant formula.

Kata kunci

Jaringan kolaborasi para penulis

30 penulis · 140 tautan kepenulisan bersama · 2 lintas organisasi

Arahkan kursor atau ketuk sebuah nama untuk menyorot rekan penulisnya. Klik dua kali untuk membuka halaman penulis.

  • Bataan Peninsula State University
  • University of Technology Sydney
  • Afiliasi tidak diketahui
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
  • Garis lebih tebal = lebih banyak artikel bersama · lingkaran lebih besar = lebih banyak artikel
Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Rheianne Mae C. HerreraBataan Peninsula State University3
Ma. Andrea T. BlancoBataan Peninsula State University3
John Carlo C. CarabeoBataan Peninsula State University3
Faye Dannah B. RamiloBataan Peninsula State University3
John Renmar D. De SilvaBataan Peninsula State University3
Neil Oliver M. NuquiBataan Peninsula State University3
Rosa Mae D. BaluyutBataan Peninsula State University3
Jan Rapaela B. BartolomeBataan Peninsula State University3
H. Romel B. De GuzmanBataan Peninsula State University3
Josefa L. MoralesBataan Peninsula State University3
Anthony N. MoscosaBataan Peninsula State University3
Angeline D. OlavidesBataan Peninsula State University3
Jan Aubrey B. SanchezBataan Peninsula State University3
Ciara Catherine L. GacheBataan Peninsula State University3
Leonard D. TijingUniversity of Technology Sydney1
Gil CruzBataan Peninsula State University1
Emmanuel Calvento MacaraegBataan Peninsula State University1
Cristina Gutierrez RiveraBataan Peninsula State University1
Ronnell D. Dela RosaBataan Peninsula State University1
Jan Lloyd Buenaventura CrisostomoBataan Peninsula State University1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

Sumber metadata: OAI-PMH (metadata jurnal) http://journal.upgris.ac.id/index.php/asset/oai, pertama di-harvest 8 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">Development of an Ergonomically - Designed Violin Chinrest Using Additive Manufacturing</dc:title>
	<dc:creator>Barinque, John Kenneth J.</dc:creator>
	<dc:creator>Borja, Alshaheen T.</dc:creator>
	<dc:creator>Cubangbang, Jeferson C.</dc:creator>
	<dc:creator>Cruz, Ulysses Ron C.</dc:creator>
	<dc:creator>Teopengco, Marien P.</dc:creator>
	<dc:creator>Tolentino, Marjorie R.</dc:creator>
	<dc:creator>Delda, Ray Noel M.</dc:creator>
	<dc:creator>Espino, Michaela T</dc:creator>
	<dc:creator>Tuazon, Brian J.</dc:creator>
	<dc:creator>Dizon, John Ryan C.</dc:creator>
	<dc:subject xml:lang="en-US">literacy; local wisdom; natural and social science; wordwall</dc:subject>
	<dc:description xml:lang="en-US">This study investigates the general form of the determinant of negative integer powers of a special class of centrosymmetric matrices of even order. For an even positive integer and a positive integer , let denote such a matrix, and consider the matrix obtained by raising to the power . To determine , we first conjecture the general form of the inverse matrix by observing the patterns in the explicit inverses , and . The conjectured form is then verified by showing that and . The resulting inverse is used to construct the matrices , and ; from these cases we infer the general structure of . The validity of this general form is established using mathematical induction. Once the matrix has been obtained, an explicit closed-form expression for is derived via the cofactor expansion method. Finally, a numerical example is presented to illustrate the application of the determinant formula.</dc:description>
	<dc:publisher xml:lang="en-US">Universitas PGRI Semarang</dc:publisher>
	<dc:contributor xml:lang="en-US">Design, Research and Extension in Additive Manufacturing, Advanced Materials, and Advanced Manufacturing (DR3AM) Center at Bataan Peninsula State University-Main Campus</dc:contributor>
	<dc:date>2022-11-06</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.upgris.ac.id/index.php/asset/article/view/asset.v4i2.13011</dc:identifier>
	<dc:identifier>10.26877/asset.v4i2.13011</dc:identifier>
	<dc:source xml:lang="en-US">Advance Sustainable Science, Engineering and Technology; Vol 4, No 2 (2022): May-October; 0220211</dc:source>
	<dc:source>2715-4211</dc:source>
	<dc:source>2715-4211</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.upgris.ac.id/index.php/asset/article/view/asset.v4i2.13011/pdf</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Advance Sustainable Science Engineering and Technology</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>