By Ron Brookmeyer, Mitchell H. Gail

AIDS has seemed in additional than one hundred thirty international locations, and over 100,000 circumstances of AIDS were suggested within the U.S. by myself. an increasing number of, the general public could be reckoning on statisticians to supply solutions concerning the destiny process this epidemic.

This finished paintings confronts the issues which are specific to AIDS learn and unites them less than a unmarried conceptual framework. It specializes in tools for the layout and research of epidemiologic reviews, the common historical past of AIDS and the transmission of HIV, equipment for monitoring and projecting the process the epidemic, and statistical concerns in healing trials. a few of the tools of tracking and forecasting this affliction obtain entire remedy. those equipment comprise back-calculation, which the authors built; interpretation of survey facts on HIV occurrence; mathematical versions for HIV transmission; and methods that mix varieties of epidemiological information. a lot of this fabric -- comparable to a dialogue of equipment for assessing safeguard of the blood provide, an overview of survey methods, and strategies to undertaking pediatric AIDS occurrence -- isn't to be had in the other paintings.

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**Extra resources for AIDS Epidemiology: A Quantitative Approach (Monographs in Epidemiology and Biostatistics ; V 22)**

**Example text**

Solve() What happens when we run the solver? TypeError: Non-constant expressions cannot be multiplied As it turned out, we were trying to perform multiplication on two unknown variables, quantities and is_order, which unknowingly led us to perform nonlinear programming. Such are the pitfalls encountered when performing integer programming. A different approach with binary conditions Another method of formulating the minimization objective is to place all unknown variables in a linear fashion such that they are additive: i=z Minimize ∑ variable costi × quantityi + fixed costi × IsOrderi i=x Comparing with the previous objective equation, we would obtain the same fixed cost values.

Our answer is printed right below the current cell. Displaying graphs The matplotlib module provides a MATLAB-like plotting framework in Python. pyplot function, charts can be plotted and rendered as graphic images for display in a web browser. Let's demonstrate a simple plotting functionality of the IPython Notebook. legend() The first three lines of the code contain the required import statements. Note that the NumPy, math, and matplotlib packages are required for the code to work in the IPython Notebook.

TeX is the industry standard document markup language for math markup commands. LaTeX is a variant of TeX that separates the document structure from the content. Mathematical equations can be displayed using LaTeX in the Markdown parser. The IPython Notebook uses MathJax to render LaTeX surrounded with $$ inside Markdown. For this example, we will display a standard normal cumulative distribution function by typing in the following command in the cell: $$N(x) = \frac{1}{\sqrt{2\pi}}\int_{-\infty}^{x} e^{\frac{z^2}{2}}\, dz$$ Select Markdown from the toolbar and run the current cell.