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| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-5, FEBRUARY (No. 5) |
| Halaman | : | 352-359 |
| Abstrak | : | - |
Pengusaha Sebagai Kekuatan Politik : Pengelompokan dalam Kadin Indonesia Hasil Munas V
| Pengarang | : | Valina Singka |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-5, FEBRUARY (No. 5) |
| Halaman | : | 342-351 |
| Abstrak | : | - |
Peran Seni Terhadap Teknologi
| Pengarang | : | Mochtar Apin |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-5, FEBRUARY (No. 5) |
| Halaman | : | 328-341 |
| Abstrak | : | - |
PERTARUNGAN POLITIK-IDEOLOGI NEGARA-NEGARA ADIKUASA DAN MASALAH-MASALAH UTARA-SELATAN SERTA IMPLIKASINYA TERHADAP PERDAMAIAN DUNIA
| Pengarang | : | Abdulgani, H. Roeslan |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-5, FEBRUARY (No. 5) |
| Halaman | : | 322-327 |
| Abstrak | : | - |
PAJAK EKSPOR DAN PENGARUHNYA TERHADAP CPO INDONESIA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Agro Ekonomika |
| Volume / Edisi | : | 17 (No. 2) |
| Halaman | : | 103-112 |
| Abstrak | : | - |
Linear Algebra and Bayes Theorem in Probability
| Pengarang | : | P. M. Shankar |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 56 (No. 1) |
| Halaman | : | 49-59 |
| Abstrak | : | A course in probability is a requirement for students pursuing baccalaureate degrees in engineering. Instruction in this course generally starts with set theory followed by probability axioms and concepts associated with Bayes’ rule [Citation1–3]. A thorough understanding of Bayes’ rule is essential because of its wide-ranging applicability to problems in image analysis, machine vision, communication systems, computer networks, medical diagnostics, financial investments, insurance industry, and many more areas [Citation4–8]. Textbooks treat Bayes’ rule and related concepts using lengthy equations and identities [Citation1–3]. Given the structure of equations associated with Bayes’ rule, a matrix-based approach is likely to offer a simple way to teach it and expand the possibility of its use in other upper-level courses. Often students in engineering take the probability course after completing a course in linear algebra, making the approach to Bayes’ rule based on matrices and vectors a natural progression. It is worth noting that Bayes’ rule finds extensive use in data sciences, with analyses carried out using matrices [Citation4, Citation5, Citation7]. Matrix operations are easily carried out with computational tools students use, such as Matlab, Python, Mathematica, or Maple. All these factors provide the impetus for the exploration of a matrix approach to Bayes’ rule, and using linear algebra to simplify the calculations. |
A Graph Theorist Plants a Tree
| Pengarang | : | Angel Carrillo, Jonathan Cervantes, Mike Krebs & Francisco Leon |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 56 (No. 1) |
| Halaman | : | 42-48 |
| Abstrak | : | A graph theorist, while planting a tree, is inspired to study coloring problems for a class of graphs. Namely, she completely determines the chromatic number for certain Cayley graphs associated to the cross product of the integers with itself finitely many times, modulo a cyclic subgroup. This result she dubs the “Tree Guard Theorem.” She finds examples “in nature” of this theorem in action, and then seeds are sown for new directions to pursue. |
Sastra dan Agama Dalam Tiga Kategori Hubungan
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-4, JANUARI (No. 4) |
| Halaman | : | 315-320 |
| Abstrak | : | - |
On the Number of Rational Roots of a Rational Polynomial
| Pengarang | : | Francesco Laudano |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 56 (No. 1) |
| Halaman | : | 36-41 |
| Abstrak | : | We propose an extension of Gauss’s lemma and Schönemann-Eisenstein’s irreducibility criterion to determine the impossibility of decomposing an integer polynomial into several polynomials with rational coefficients. This extension allows us to obtain some limitations on the number of rational roots and on the degrees of the factors of a rational polynomial. |
A Multiple Integration Approach to the Broken Stick Problem with Predetermined Minimum Piece Lengths
| Pengarang | : | Kai Forsberg Kristensen |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 56 (No. 1) |
| Halaman | : | 25-35 |
| Abstrak | : | Not many mathematical problems can be successfully introduced around a dinner table or in other social settings, but a quick internet search tells us that broken stick problems are among the classics that still engage. The fact that solutions may require basic knowledge of calculus, probability, and combinatorics helps demonstrate the power and necessity of mathematical formalism. In this article, the general intention has been to show how multiple integrals calculate probabilities in relation to polygons made by pieces from a randomly broken stick of unit length. Most of this article is devoted to proving a probability formula for the case where side lengths have predetermined lower bounds. This formula generalizes a well known corresponding formula without these requirements. |