(for example 3,2) **denote** first the column and then the row. 2. Using a ruler and craft knife, trim left side of each sheet at vertical crop marks.

R n # $ we **denote** some atlas of M ;here the h i are the charts (local coordinates) of the atlas (we assume that each h i is a homeomorphism of U i onto R n ); by ! i,j we **denote** the transition functions (coordinate transformations) given by ! i,j = h j " h ! 1 i .

The Association of State and Territorial Public Health Nutrition Directors (ASTPHND) provides state and national leadership on food and nutrition policy, programs, and services.

Since X and Y are independent, we have the joint density. 1 The polar method for generating normal random variables Let X and Y be independent unit normal random variables and let R and µ **denote** the polar coordinates of the vector ( X,Y ).

Proceedings of the 49thAnnual Meeting of the Association for Computational Linguistics, pages 570-580, Portland, Oregon, June 19-24,2011. c 2011 Association for Computational Linguistics Which NounPhrases **Denote** Which Concepts?

Which Noun Phrases **Denote** Which Concepts? Jayant Krishnamurthy Carnegie Mellon University 5000 Forbes Avenue Pittsburgh, PA 15213 jayantk@cs.cmu.edu

Note: Unless otherwise indicated, the symbols I, V, E, and P **denote** the rms values of I, V, and E and the average power

Math 160 Section 1 Summation Notation I. Overview We need an eﬃcient symbolic method to **denote** the sum of a lot of terms, each of which depends on an integer in a sequence of integers, such as

Proof: Letfx m gbea bounded sequence in R n. (We use superscripts to **denote** the terms of the sequence, because we're going touse subscripts to **denote** the components of points in 2

5. (20 points) Determine the following values: (a) The number of 10-combinations of the multiset {A, A, A, A, B, B, B, C, C, C, C, D, D, D, D, D).