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The Multivariate Probabilistic Josephus Problem
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| Pengarang | : | Osvaldo Marrero & Paul C. Pasles |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 5) |
| Halaman | : | 446-453 |
| Abstrak | : | Abstrak tidak tersedia. |
Pemilu di Indonesia Dalam 15 Tahun Terakhir
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-10, JULI (No. 10) |
| Halaman | : | 755-779 |
| Abstrak | : | - |
Why the Golden Spiral is Golden
| Pengarang | : | |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 5) |
| Halaman | : | 434-445 |
| Abstrak | : | It is shown that there is a logarithmic spiral that segments a straight line through its pole in the golden ratio ????. This is the same spiral that is often referred to in the literature as the “Golden Spiral” Using the tools of analytic geometry and parametric vector equations, it is shown that the golden spiral is actually a member of a family of spirals defined by a generalized equation. The spirals exist as a continuum defined by a real number q > 1. When ????=????, the spiral segments a line through its pole in the golden ratio. That is the characteristic feature that sets it apart from all the other spirals in the continuum. |
Metoda Pengukuran Konsentrasi Debu-Debu Pada Sumber Stationer Suatu Terowongan
| Pengarang | : | Binsar Nababan |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-10, JULI (No. 10) |
| Halaman | : | 750-754 |
| Abstrak | : | - |
Peranan LSM Dalam Pelestarian Plasma Nutfah Tumbuh-Tumbuhan di Indonesia
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-10, JULI (No. 10) |
| Halaman | : | 745-749 |
| Abstrak | : | - |
Sistem Politik, Ideologi dan Pemikiran Politik Jepang
| Pengarang | : | I Ketut Surajaya |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-10, JULI (No. 10) |
| Halaman | : | 737-744 |
| Abstrak | : | - |
Searching for Point Locations Using Lines
| Pengarang | : | Michelle Cordier & Meaghan Wheeler |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 5) |
| Halaman | : | 423-433 |
| Abstrak | : | Suppose there are n points that we wish to locate on a plane. Instead of the locations of the points, we are given all the lines of k distinct slopes that contain the points. We show that the minimum number of slopes needed, in general, to find all the point locations is n + 1 and we provide an algorithm to do so. |
Half an Induction Proof of the Collatz Conjecture
| Pengarang | : | Daniel Solow |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 5) |
| Halaman | : | 419-422 |
| Abstrak | : | In a straightforward proof by induction of the Collatz conjecture, it is easy to show that the statement is true for ????=1 (the base case) but proving the induction step is more challenging—in fact, no one has done so to date. In this work, a different induction proof of the conjecture, based on a binary representation of the starting integer, is given in which it is possible to prove the induction step but there is no known proof for the base case. In fact, if one could prove the base case, then the Collatz conjecture is true. |
Zig-Zag Paths and Neusis Constructions of a Heptagon and a Nonagon
| Pengarang | : | Dan Lawson & David Richeson |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 55 (No. 1) |
| Halaman | : | 46-55 |
| Abstrak | : | Abstrak tidak tersedia. |
Exact Expressions for Trigonometric Functions
| Pengarang | : | S H Sathish Indika & Lawrence M. Leemis |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 55 (No. 1) |
| Halaman | : | 40-45 |
| Abstrak | : | Solving polynomial equations and trigonometry are typically taught in separate modules or even separate classes. The derivation of a one-third angle formula gives students the opportunity to tie these two topics together. An algorithm for finding the cosine of one-third of a prescribed angle is based on Cardano’s formula. In addition, we show how this algorithm can be combined with half, double, and triple angle formulas to give exact expressions for trigonometric functions written in terms of radicals for an infinite number of angles between 0 and ????/2. |