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Hubungan Antara Usia Umbi dan Kandungan Karbohidrat Pada Talas (Colocasia Esculenta (L) Schott)
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| Pengarang | : | Danimihardja, S... [et al] |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-6, MARET (No. 6) |
| Halaman | : | 446-448 |
| Abstrak | : | - |
Kisah dan Kesan Dari Konferensi Sastrawan Asean di Toyabungkah, Bali
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-6, MARET (No. 6) |
| Halaman | : | 436-445 |
| Abstrak | : | - |
Propaganda Dalam Pelaksanaan Politik Luar Negeri Uni Soviet
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-6, MARET (No. 6) |
| Halaman | : | 425-435 |
| Abstrak | : | - |
A Goldbach Theorem for Laurent Polynomials with Positive Integer Coefficients
| Pengarang | : | Sophia Liao & Harold Polo |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 8) |
| Halaman | : | 704-711 |
| Abstrak | : | We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients. |
Intrinsic Geometries of the Simple Group of Order 168
| Pengarang | : | Ian Stewart |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 8) |
| Halaman | : | 690-703 |
| Abstrak | : | It is well known that, up to isomorphism, there is a unique simple group of order 168. The projective special linear groups PSL(2, 7) and PSL(3, 2) are concrete examples of such groups, and are therefore isomorphic. This isomorphism is not obvious, but it has been clarified from several viewpoints. Here we use purely group-theoretic methods—the Sylow theorems, Poincaré’s theorem, and the orbit-stabilizer theorem—to show that any simple group of order 168 has a natural action on the projective line over ????7, so it is isomorphic to PSL(2, 7). We discuss an analogous action on the projective plane over ????2 described by Smith and Tabachnikova. Both geometries are constructed using conjugacy classes of maximal subgroups. This gives another proof of the uniqueness theorem and may dispel some of the air of mystery that often surrounds the isomorphism between PSL(2, 7) and PSL(3, 2). |
Topology Meets Number Theory
| Pengarang | : | Taboka Prince Chalebgwa & Sidney A. Morris |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 8) |
| Halaman | : | 669-689 |
| Abstrak | : | Liouville proved the existence of a set ? of transcendental real numbers now known as Liouville numbers. Erd?s proved that while ? is a small set in that its Lebesgue measure is zero, and even its s-dimensional Hausdorff measure, for each s > 0, equals zero, it has the Erd?s property, that is, every real number is the sum of two numbers in ?. He proved ? is a dense ????????-subset of ? and every dense ????????-subset of ? has the Erd?s property. While being a dense ????????-subset of ? is a purely topological property, all such sets contain ???? Liouville numbers. Each dense ????????-subset of ?, including ?, is homeomorphic to the product ?ℵ0 of copies of the discrete space ? of all natural numbers. Also this product space is homeomorphic to the space ? of all irrational real numbers and the space ???? of all transcendental real numbers. Hence every dense ????????-subset of ? has cardinality ????. Indeed, any dense ????????-subset of ? has a chain Xm, ????∈(0,∞) of homeomorphic dense ????????-subsets such that ????????⊂????????, for n < m, and ????????????????? has cardinality ????. Finally, every real number ????≠1 is equal to ab, for some ????,????∈?. |
Who Invented von Kochs Snowflake Curve
| Pengarang | : | Yann Demichel |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 8) |
| Halaman | : | 662-668 |
| Abstrak | : | A strange title, might you say: Answer is in the question! However, contrary to popular belief and numerous citations in the literature, the image of the snowflake curve is not present or even mentioned in Helge von Koch’s original articles. So, where and when did the first snowflake fall? Join us on a journey back in time to discover the snowflake curve. |
Perkembangan Ilmu Pengetahuan, Teknologi dan Pembangunan Pusat Pusat Militer, Serta Dampaknya Terhadap Perdamaian Dunia
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-6, MARET (No. 6) |
| Halaman | : | 417-424 |
| Abstrak | : | - |
The Eighty-Fourth William Lowell Putnam Mathematical Competition
| Pengarang | : | Daniel H. Ullman & Paul Zeitz |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 8) |
| Halaman | : | 647-661 |
| Abstrak | : | The 84thWilliam Lowell Putnam Mathematical Competition took place on December 2, 2023. There were 3857 undergraduates who participated in the competition at 471 institutions across the United States and Canada. The competition is held annually, under the auspices of the Mathematical Association of America. It is supported by the William Lowell Putnam Prize Fund for the Promotion of Scholarship, an endowment established by Elizabeth Lowell Putnam in 1927 in memory of her husband. The Problems Committee for the 84th competition consisted of Brian Hunt, Universityof Maryland; Karl Mahlburg (chair), Susquehanna International Group; and Greta Panova, University of Southern California. Additional proposed problems were contributed by Gabriel Carroll, University of Toronto; David Grabiner, Department of Defense; Darij Grinberg, Drexel University; Michael Larsen, University of Indiana; and Richard Stanley, Massachusetts Institute of Technology and University of Miami. |
Communication For Development
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-6, MARET (No. 6) |
| Halaman | : | 414-416 |
| Abstrak | : | - |