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Gelombang Ultrasonik dan Aplikasinya
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| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 103-109 |
| Abstrak | : | Abstrak tidak tersedia. |
Caught Red-Handed The Probability of Randomly Constructing a Legal Catan Board
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 355-366 |
| Abstrak | : | Catan is a dynamic property-building and trading board game in which players build a new board every time they play by arranging tiles, number tokens, and port markers. In the interest of creating an equitable board, the official Catan rules restrict how the number tokens are placed. In this paper, we use three techniques to count the number of nonequivalent boards satisfying this restriction, as well as determine the probability that a randomly generated board will be legal. |
A New Take on Classic Pen Problems
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 345-354 |
| Abstrak | : | In this article we generalize the classic “farm pen” optimization problem from a first course in calculus in a handful of different ways. We describe the solution to an n-dimensional rectangular variant, and then study the situation when the pens are either regular polygons or platonic solids. |
Teknik Fisika Dalam Era Industrialisasi di Indonesia
| Pengarang | : | Edigom Aritonang |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 95-102 |
| Abstrak | : | Abstrak tidak tersedia. |
Not Solving Differential Equations
| Pengarang | : | James S. Wolper |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 337-344 |
| Abstrak | : | One can learn a lot about a differential equation without solving it. Using the relationship between the sign of the derivative of a function and its behavior, given by the Mean Value Theorem, makes many important properties of solutions clear, and allows one to consider variations that are difficult or ugly to solve exactly. |
On the Center of Surface Area of the Boundary of a Star-Shaped Region
| Pengarang | : | Thunwa Theerakarn |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 326-336 |
| Abstrak | : | Every line passing through the center of a circular disk bisects its area. Not every planar region has a point with this property. It turns out that if a compact connected region is star-shaped at its center of area, then it must be centrally symmetric. However, there exists a non-centrally symmetric star-shaped region whose boundary has a center of length, which is a point where every line passing through this point cut its length in half. In this article, we characterize such regions and provide a method to create them. Additionally, we provide new examples and a method to generate analogous objects in higher dimensions. |
Perlakuan Permukaan Untuk Meningkatkan Sifat Permukaan Bahan
| Pengarang | : | Sriati Djaprie |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 91-94 |
| Abstrak | : | Abstrak tidak tersedia. |
An Attractive Attractor
| Pengarang | : | Hayden Ruff & Kenneth Schilling |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 316-325 |
| Abstrak | : | We explore a family of closed curves in the plane. Each member of the family is the limit of self-intersecting polygonal curves. Nonetheless, most members of the family are simple closed curves. One, the “attractive attractor,” surrounds an infinite set of disjoint regions. |
Hyperbolic Lunes
| Pengarang | : | Tevian Dray |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 308-315 |
| Abstrak | : | The formula for the area of a hyperbolic triangle in terms of its angle defect is derived using hyperbolic lunes, in analogy with the argument using (elliptic) lunes to express the area of an elliptic triangle in terms of its angle excess. Several pedagogical features of this construction are then discussed. |
An Extension of the Perplexing Polynomial Puzzle
| Pengarang | : | Stijn Dierckx |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 4) |
| Halaman | : | 299-307 |
| Abstrak | : | Originally published as a puzzle in 2005 [Citation3], the Perplexing Polynomial Puzzle indeed is perplexing: any given polynomial ?????(????) with nonnegative integer coefficients can be completely determined by just two evaluations. In this article, an extension is made to polynomials with arbitrary integer coefficients, by considering a simple translation ?????????+???? with ????∈? such that the result is a new polynomial with only nonnegative integer coefficients on which the original solution can be used. A proof is given that this is indeed always possible, and a method is constructed to determine a suitable k to do so. |