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| Pengarang | : | Sumarwan, Antonius |
| Nama Majalah/Jurnal | : | Rohani |
| Volume / Edisi | : | 72 (No. 01) |
| Halaman | : | 1-5 |
| Abstrak | : | - |
MENGAPA PENGAMPUNAN TUHAN BEGITU PENTING
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 15-19 |
| Abstrak | : | - |
TERESA DARI KALKUTA, ORANG SUCI?
| Pengarang | : | Supasiraprapa, Sarut,Costa, Peter I. De |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 10-14 |
| Abstrak | : | - |
N-Player Final-Offer Arbitration: Harmonic Numbers in Equilibrium
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 6) |
| Halaman | : | 559-576 |
| Abstrak | : | We consider how a mechanism of final-offer arbitration may be applied to a negotiation between N players attempting to split a unit of wealth. The game model is defined where the arbitrator chooses a fair split from a Dirichlet distribution. For the case of a uniform probability distribution the equilibrium strategy is found as a function of the Harmonic numbers. |
A Model for Birdwatching and other Chronological Sampling Activities
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 6) |
| Halaman | : | 541-558 |
| Abstrak | : | In many real life situations one has m types of random events happening in chronological order within a time interval and one wishes to predict various milestones about these events or their subsets. An example is birdwatching. Suppose we can observe up to m different types of birds during a season. At any moment a bird of type i is observed with some probability. There are many natural questions a birdwatcher may have: how many observations should one expect to perform before recording all types of birds? Is there a time interval where the researcher is most likely to observe all species? Or, what is the likelihood that several species of birds will be observed at overlapping time intervals? Our paper answers these questions using a new model based on random interval graphs. This model is a natural follow up to the famous coupon collector’s problem. |
GARAM YANG DIBERKATI
| Pengarang | : | FR. JOHN HAMPSCH, CMF |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 6-9 |
| Abstrak | : | - |
Legendre–Teege Quadratic Reciprocity
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 6) |
| Halaman | : | 523-540 |
| Abstrak | : | Legendre published the first attempted proof of the law of Quadratic Reciprocity. In its final form (1797), however, it had a gap in the form of an unproven hypothesis. Some 125 years later, Herman Teege published the first rigorous proof of that hypothesis. Then, 48 years later, Kenneth Rogers published a second (but implicit) proof. These proofs elevated Legendre’s attempt to the list of complete proofs. No detailed exposition of these proofs appears in the literature. Our paper fills that gap. |
BUNDA KITA MELINDUNGI ANAK-ANAKNYA DI VIETNAM
| Pengarang | : | Rev. FR. F Minh-dang, C.M.C |
| Nama Majalah/Jurnal | : | Ave Maria: Per Mariam Ad Jesum |
| Volume / Edisi | : | (No. 46) |
| Halaman | : | 3-5 |
| Abstrak | : | - |
If Rm ? Rn must m = n?
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 6) |
| Halaman | : | 515-521 |
| Abstrak | : | A fundamental theorem of linear algebra asserts that every basis for the vector space ????? has n elements. In this expository note we present a theorem of W. G. Leavitt describing one way in which this invariant basis number property can fail when one does linear algebra over rings, rather than over fields. We give a proof of Leavitt’s theorem that combines ideas of P. M. Cohn and A. L. S. Corner into an elementary form requiring only a nodding acquaintance with matrices and modular arithmetic. |
The Concentration of the Product of Exponentials Around the Exponential of the Sum
| Pengarang | : | P.D. Griffis |
| Nama Majalah/Jurnal | : | The American Mathematical Monthly |
| Volume / Edisi | : | 130 (No. 6) |
| Halaman | : | 503-514 |
| Abstrak | : | For two matrices A and B, and large n, we show that most products of n factors of ????????/???? and n factors of ????????/???? are close to ????????+????. This extends the Lie-Trotter formula. The elementary proof is based on the relation between words and lattice paths, asymptotics of binomial coefficients, and matrix inequalities. The result holds for more than two matrices. |