The first element is the first element, not the zeroth element.

For decades, we have been told by systems programmers that counting from zero is "closer to the metal," "mathematically purer," and the definitive mark of a "real programmer." Languages that use 1-based indexing—like Julia, R, MATLAB, and Fortran—are often patronized as quirky tools for mathematicians who just "don't understand computer science."

I call bullshit.

A small observation about AI poster and slides generators led me to a much larger question: who actually controls the assets we create?

Introduction​

The Jacobian-Free Newton–Krylov (JFNK) method is a nonlinear solver that combines Newton’s method with Krylov-subspace linear solvers without ever forming the Jacobian matrix explicitly.

Create new package via PkgTemplates.jl​

1. get
   • Scope：Generally used to retrieve values from indexable data structures (such as Dict, Array) or other containers with customizable interfaces.
   • Function：get(collection, key, default) will attempt to retrieve the value for key from collection. If the value is not found, default will be returned.
   • Example：

     d = Dict(:a => 1, :b => 2)
     println(get(d, :a, 0))  # 1
     println(get(d, :c, 0))  # 0 (Due to :c not existing)
     

   • Application：When there is no guarantee that a key will always exist, you can gracefully provide a default value and avoid throwing an error.

The for loop​

To iterate over the elements within an array, there are several different ways to write the code. Now suppose we have such an array: a = copy(reshape(1:16, 4, 4))

Clear screen​

PlotlyLight.jl​

I really had to write about the PlotlyLight package because it starts up much faster than other plotting packages, both in terms of first run time and first plot time. So how fast is it?

Timing​

time()