By Robin Chapman

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Additional resources for A Guide to Arithmetic [Lecture notes]

Example text

1 (Document vectors). Write a MATLAB function Ó Ë Ñ Ð Ö- ØÝ´ ¸ µ that computes the “similarity” of text documents D and E by using the vector model of documents. Specifically, the arguments D and E are each cell arrays of strings, each string being a word of the document, normalized to lowercase. ) The function returns a number between 0 and 1, 0 meaning that the two documents have no significant words in common, 1 meaning that they have the identical significant words with the same frequency. m on the textbook website.

Geometric coordinates are discussed at length in Chapter 6. 2 (Time series). A vector can be used to represent a sequence of numeric values of some quantity over time. 5〉. 9〉. Here the dimensions correspond to points in time; the components are the values of the quantity. 3 (Almanac information). Numerical information about the 50 states could be recorded in 50-dimensional vectors, where the dimension corresponds to the states in alphabetical order: Alabama, Alaska, Arizona, Arkansas, etc. We could then have a vector p =〈4530000, 650000, 5740000, 2750000, .

By hand, find the correlation between: (a) 〈1, 5, 3〉 and 〈2, 10, 6〉. (b) 〈1, 5, 3〉 and 〈0, 1, 1〉. (c) 〈1, 5, 3〉 and 〈5, 1, 3〉. 1. Find three two-dimensional vectors u = 0, v, w such that u • v = u • w, but v = w. 2. 1. 3. 1. 1 (Document vectors). Write a MATLAB function Ó Ë Ñ Ð Ö- ØÝ´ ¸ µ that computes the “similarity” of text documents D and E by using the vector model of documents. Specifically, the arguments D and E are each cell arrays of strings, each string being a word of the document, normalized to lowercase.

A Guide to Arithmetic [Lecture notes] by Robin Chapman

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