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Improper Integrals: An Alternative Criterion
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| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 232-234 |
| Abstrak | : | Abstrak tidak tersedia. |
Modifying Jordan Bases
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 222-231 |
| Abstrak | : | In linear algebra classes we usually teach our students how to find a basis relative to which a Jordan matrix corresponds to an endomorphism of a finite dimensional space. Here we look at this problem from a different perspective. Suppose that we have a Jordan basis. How do we get all other Jordan bases from this existing basis? |
Counting Divisions of a 2 × n Rectangular Grid
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 212-221 |
| Abstrak | : | What is the number of ways to divide a 2×???? rectangular grid, cutting along the grid lines, into k pieces? Are there formulas that calculate these number of divisions? If so, what do they look like? We show that all division-counting formulas will be polynomials on n for all k, and that for a fixed k, the division-counting polynomial will have degree 2?????−2. We find these polynomials up to ????=5. |
Intuitive Interpretations of SVD Vectors
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 200-211 |
| Abstrak | : | The SVD is currently becoming an increasingly important central pillar in linear algebra. A voice as authoritative and influential as Gil Strang’s remarked that although a few years ago the SVD was not even part of an introductory linear algebra course, “now it has to be.” To balance the already firmly established theoretical basis, we survey several intuitive conceptualizations for singular vectors and values, expand on them, and provide some original contributions. |
Trigonometric Angle-Sum Formulas and Conformal Maps
| Pengarang | : | Greg Markowsky & David Treeby |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 195-199 |
| Abstrak | : | The trigonometric angle-sum formulas are given a new interpretation as statements about conformal maps. In particular, we show how the angle-sum formula for tangent can be realized by equating two different conformal maps from an infinite strip to a disk, and the formulas for sine and cosine by similarly equating conformal maps from an infinite strip to a certain slit domain. |
Knot Theory in Linear Algebra: An Example with Trip Matrices
| Pengarang | : | Andries, Flavius Floris |
| Nama Majalah/Jurnal | : | The College Mathematics Journal |
| Volume / Edisi | : | 54 (No. 3) |
| Halaman | : | 186-194 |
| Abstrak | : | The trip matrix, introduced by Louis Zulli [Citation6], gives a method for computing the Jones polynomial of a knot using basic Linear Algebra. We use this method to provide an alternative proof of the formula for the Jones polynomial of ?????(????,2) torus knots. In doing so, we provide a partial solution to an open question related to finding an elementary proof of the formula for general ?????(????,????) torus knots. |
Perkembangan dan Prospek Ilmu Politik di Indonesia
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 155-160 |
| Abstrak | : | - |
Fisip Unas Mengisi Kemerdekaan dan Mengembangkan Ilmu Politik
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 151-154 |
| Abstrak | : | - |
Kemiskinan Dalam Sejarah
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 143-150 |
| Abstrak | : | - |
Menutup Pusat Bahasa Untuk Pendewasaan Bahasa Indonesia Lebih Efisien dan Cepat
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | IX-2, NOVEMBER (No. 2) |
| Halaman | : | 135-142 |
| Abstrak | : | - |