By The Mathematical Association of America

**Read or Download American Mathematical Monthly, volume 107, number 7, August-September 2000 PDF**

**Similar nonfiction_4 books**

**Terpenoids and Steroids: Volume 5 (SPR Terpenoids and Steroids (RSC))**

Expert Periodical experiences supply systematic and specified evaluation assurance of growth within the significant parts of chemical study. Written via specialists of their professional fields the sequence creates a different carrier for the lively study chemist, offering commonplace serious in-depth debts of growth particularly parts of chemistry.

**Workbook to Accompany Fundamentals of Emergency Care **

Basics of Emergency Care has a symptom orientated, evaluation dependent method of the schooling of the EMT. it really is designed to study utilizing a problem-based studying technique. challenge dependent studying provides the EMT pupil a chance to profit the cloth in a simpler demeanour and one who is extra traditional to the grownup learner.

- Carbonates in Continental Settings: Geochemistry, Diagenesis and Applications
- Case studies in participatory irrigation management, Page 273
- CISA Review Manual 2010
- Guns on the Atlantic Wall 1942-1945
- Hotel Malabar: a narrative poem

**Additional resources for American Mathematical Monthly, volume 107, number 7, August-September 2000**

**Example text**

We argue, however, that this important new freedom should not be mistaken for independence from mathematics. 3. STATISTICS IS, ALAS, DIFFERENT. Should statisticians gloat? Not at all. Each of the strengths we have noted has a darker side. The picture that emerges when all the pieces come together is one of organizational weakness. The advantages of statistics over mathematics in our current environment are cultural, and cultural strength rarely outweighs organizational weakness. God is on the side of the big battalions.

X n) is compact}. ", JiI = {A: 3 k E Z+ such that A c n~1 Bf. (x n), where rn E Tn for n :::; k) . It is now clear that JiI has a countable cofinal subset and is thus a metric bomology, which means that there is an admissible metric d for X whose closed balls are all compact, a fact first observed by H. Vaughn [4]. Conversely, local compactness and separability of the space are forced by the compactness of closed balls (a sigma compact metrizable space is separable [5, p. 126]). We indicate a proof of the nontrivial part of Theorem A that relies on Hu's theorem.

Then X rt. JiI, and by local compactness alone, the closure of each A E JiI has a compact neighborhood. For the remaining condition, let p be an admissible metric for X, and let {x n : n E Z+} be a countable dense subset of X. '(x n) is compact}. ", JiI = {A: 3 k E Z+ such that A c n~1 Bf. (x n), where rn E Tn for n :::; k) . It is now clear that JiI has a countable cofinal subset and is thus a metric bomology, which means that there is an admissible metric d for X whose closed balls are all compact, a fact first observed by H.