julia - What is the best way to form inner products ... - Stack Overflow
WEBJun 21, 2015 · 15. I was delighted to learn that Julia allows a beautifully succinct way to form inner products: julia> x = [1;0]; y = [0;1]; julia> x'y. 1-element Array{Int64,1}: 0. This alternative to dot(x,y) is nice, but it can lead to surprises: julia> @printf "Inner product = …
15. Linear Algebra — Quantitative Economics with Julia
WEBThe inner product of vectors \(x,y \in \mathbb R ^n\) is defined as \[ x' y := \sum_{i=1}^n x_i y_i \] Two vectors are called orthogonal if their inner product is zero.
Julia calculate an inner product using boolean algebra
WEBWhen working with Julia, there are multiple ways to calculate an inner product using boolean algebra. In this article, we will explore three different approaches to solve this problem. Approach 1: Using the dot product function
Linear Algebra · The Julia Language
WEBExamples. julia> dl = [1, 2, 3]; julia> du = [4, 5, 6]; julia> d = [7, 8, 9, 0]; julia> Tridiagonal (dl, d, du) 4×4 Tridiagonal {Int64, Vector {Int64}}: 7 4 ⋅ ⋅ 1 8 5 ⋅ ⋅ 2 9 6 ⋅ ⋅ 3 0. Tridiagonal (A) Construct a tridiagonal matrix from the first sub-diagonal, diagonal …
Inner products & norms · CompactBases.jl - GitHub Pages
WEBThe inner product of two functions is simply computed as. julia> B = FiniteDifferences(10, 0.1) Finite differences basis {Float64} on 0.0..1.1 with 10 points spaced by Δx = 0.1 . julia> x = axes(B, 1) Inclusion(0.0..1.1) julia> c = B \ sin.(2π *x) 10 -element Array {Float64, 1}:
Inner product of functions on an interval with trapz jl Examples ...
WEBThe inner product of functions on an interval can be calculated using the trapz function in Julia. The trapz function is used to approximate the definite integral of a function using the trapezoidal rule.
Multivectors - Julia Packages
WEBInner Product. The inner product ⋅ is defined in Multivectors to be the left contraction operator ⌋, lcontraction. The contraction a⋅B between blades a and B will result in a blade with grade grade(B)-grade(a) that is orthogonal to a and contained in B.
Wedge, Inner and Other Products · GeometricAlgebra.jl - Jollywatt
WEBThe wedge product may be thought of as the highest-grade part of the geometric product. For example, if A A and B B are multivectors of grade p p and q q, respectively, then A ∧ B = AB _ {p + q} A∧B = AB p+q. This definition can …
Methods for vectors · LazyAlgebra for Julia
WEBThe various operations that should be implemented for a vector are: compute the inner product of two vectors of the same kind (vdot(x,y) method); create a vector of a given kind (vcreate(x) method); copy a vector (vcopy!(dst,src)); fill a vector with a …
Cartesian product of two vectors in Julia - Stack Overflow
WEBMar 30, 2015 · At least in Julia 1.3, there is a built-in function Iterators.product, so Iterators.product(a, b) |> collect should do the trick. Note that Iterators is part of Julia's Base module (Base.Iterators), so you don't have to call import or using at all to be able to use Iterators.product.