
| Pengarang | : | Jimmy H. Siahaan |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 533-543 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 527-532 |
| Abstrak | : | - |
| Pengarang | : | Didin S. Sastrapradja |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 522-526 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 514-521 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 505-513 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 489-504 |
| Abstrak | : | - |
| Pengarang | : | Alisjahbana, S. Takdir |
| Nama Majalah/Jurnal | : | Ilmu dan Budaya |
| Volume / Edisi | : | VIII-7, APRIL (No. 7) |
| Halaman | : | 483-488 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 9) |
| Halaman | : | 806-813 |
| Abstrak | : | In plane geometry, it is well-known that one can inscribe a circle in any triangle. A less trivial yet natural question could be asked about inscribing circles in topologically embedded triangles. This paper presents a proof for the following general theorem: Given any boundary of an n-simplex topologically embedded in Euclidean k-space, with ????≤????, there exists a (????−1)-sphere whose interior is disjoint from the embedded boundary of the simplex and which touches each (????−1)-dimensional face on the boundary of the simplex at least once. We say this sphere is inscribed in the embedding. This paper also shows that ellipsoids, cubes, and octahedrons can be inscribed in any topologically embedded boundary of the n-simplex. The uniqueness of inscribed spheres is also discussed. |
| Pengarang | : | |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 9) |
| Halaman | : | 802 |
| Abstrak | : | Abstrak tidak tersedia. |
| Pengarang | : | Neil Epstein |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 131 (No. 9) |
| Halaman | : | 794-801 |
| Abstrak | : | An algorithm is given to express a proper rational function (i.e., the degree of the denominator exceeds that of the numerator) over any field as an alternating sum of reciprocals of polynomials of increasing degree. This is analogous to existing algorithms for representing proper rational numbers. |