Publications by William Aiken
WAIKEN_HW14_DATA605
For each function, only consider its valid ranges as indicated in the notes when you are computing the Taylor Series expansion. Please submit your assignment as an R- Markdown document. “Taylor series of a real or complex-valued function f(x) that is infinitely differentiable at a real or complex number a is the power series” -wikipedia \(f(a...
1886 sym
WAIKEN_HW16_DATA605
Problem 1. 30 Points IS 605 FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS - 2022 1. Playing with PageRank You’ll verify for yourself that PageRank works by performing calculations on a small universe of web pages. Let’s use the 6 page universe that we had in the previous discussion For this directed graph, perform the following calculations in R...
10189 sym R (52912 sym/152 pcs) 38 img 2 tbl
WAIKEN_HW12_DATA605
The attached who.csv dataset contains real-world data from 2008. The variables included follow. Country: name of the country LifeExp: average life expectancy for the country in years InfantSurvival: proportion of those surviving to one year or more Under5Survival: proportion of those surviving to five years or more TBFree: proportion of the popul...
4321 sym R (4680 sym/26 pcs) 10 img
WAIKEN_HW11_DATA605
Using the “cars” dataset in R, build a linear model for stopping distance as a function of speed and replicate the analysis of your textbook chapter 3 (visualization, quality evaluation of the model, and residual analysis.) Model Creation We are creating a model where stopping distance is being predicted by car speed. cars.lm <- lm(cars$dist...
3783 sym R (820 sym/7 pcs) 4 img
WAIKEN_HW13_DATA605
Use integration by substitution to solve the integral below: \(\int 4e^{-7x} \mathrm{d}x\) So we need the integral to be in the form \(\int f(g(x)) g'(x) \mathrm{d}x\) We can pull the 4 out as a first step \(4 \int e^{-7x} \mathrm{d}x\) Then we need to the g’(x): \(\frac{4}{-7} \int -7e^{-7x} \mathrm{d}x\) Now our u substitution: \(\frac{4}{-7...
3061 sym R (514 sym/9 pcs) 1 img