
| Pengarang | : | lrma Walujo |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 37-41 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 9) |
| Halaman | : | 824-836 |
| Abstrak | : | Every odd prime number p has exactly (????+1)/2 different expressions as a sum ab + cd of two ordered products ab and cd such that min?(????,????)>max?(????,????). An easy corollary is a proof of Fermat’s Theorem expressing primes in 1+4?? as sums of two squares. |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Rohani |
| Volume / Edisi | : | 72 (No. 01) |
| Halaman | : | 12-15 |
| Abstrak | : | - |
| Pengarang | : | Ross Hyman |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 9) |
| Halaman | : | 808-822 |
| Abstrak | : | How to fairly apportion congressional seats to states has been debated for centuries. We present an alternative perspective on apportionment, centered not on states but “families” of states, sets of states with “divisor-method” quotas with the same integer part. We develop “impartial” and “unbiased” apportionment methods. Impartial methods apportion the same number of seats to families of states containing the same total population, whether a family consists of many small-population states or a few large-population states. Unbiased methods apportion seats so that if states are drawn repeatedly from the same distribution, the expected number of seats apportioned to each family equals the expected divisor-method quota for that family. |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 9) |
| Halaman | : | 795-807 |
| Abstrak | : | We show an explicit construction in three dimensions for a convex, mono-monostatic polyhedron (i.e., having exactly one stable and one unstable equilibrium) with 21 vertices and 21 faces. This polyhedron is a 0-skeleton, with equal masses located at each vertex. The above construction serves as an upper bound for the minimal number of faces and vertices of mono-monostatic 0-skeletons and complements the recently provided lower bound of 8 vertices. This is the first known construction of a mono-monostatic polyhedral solid. We also show that a similar construction for homogeneous distribution of mass cannot result in a mono-monostatic solid. |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 32-36 |
| Abstrak | : | - |
| Pengarang | : | Deanna B. Haunsperger |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 9) |
| Halaman | : | 787-794 |
| Abstrak | : | Mathematical communities which support women and members of underrepresented groups in mathematics can increase the likelihood of their earning advanced degrees in mathematics. Mathematicians should be investing more time, energy, and funding into supporting mathematical communities that exist and creating ones that are needed. Through the story of the Carleton Summer Mathematics Program for Women, we demonstrate that building such a community doesn’t need to be difficult, and it can be quite rewarding. |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Rohani |
| Volume / Edisi | : | 72 (No. 01) |
| Halaman | : | 6-11 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 24-31 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 20-23 |
| Abstrak | : | - |