Julia-Playground

Collection of code experiments in Julia. I'm doing this in Jupyter notebooks running the latest Julia kernel release (v. 1.0.0 at the time of the initial commit)

• Bell Numbers.ipynb - an implementation of Bell numbers. Illustrates high-precision calculations using BigFloat and BigInt types.
• Bf.ipynb - An implementation of brainfuck programming language in Julia
• Shoelace Formula.ipynb - an implementation of the shoelace formula for computing the area of a polygon.
• KNN.ipynb - an implementation of the K-Nearest Neighbors classifier. Techniques used: loading of delimited data, array manipulations through permutations, views. Also includes accuracy plot using Gadfly. I have used the MAGIC Gamma Telescope dataset (https://archive.ics.uci.edu/ml/datasets/magic+gamma+telescope), also included with the repo. The code will work with any numeric feature set, assuming the labels in the last column of the input CSV.
• Logistic Map Basics.ipynb - basic experiments with logistic map, including plotting using Gadfly and interactivity using Interact.jl
• Bifurcations.ipynb - plotting logistic map bifurcation diagram using Julia Plots with GR backend.
• SimpleDiffEqn.ipynb - an implementation of differential equation solvers using forward and backward Euler method, as well as Runge-Kutta. Julia features: functions as function parameters, implicit typing, plotting using Julia Plots with GR backend; LaTeX in Jupyter markdown
• Coordinate-Delayed Embedding.ipynb - a simple implementation of delay-coordinate embedding for time series analysis.
• IMO1988 A3.ipynb - a simple calculation solving an IMO 1988 problem A3. Has a parallel/distributed code.
• Aliquot.ipynb - aliquot sequence calculator.