Denise#
Mandelbrot
* Variant absolute IM
* Exponent Real 2.7
Formula Z(n+1)=Z(n^2)+C
#mandelbrot #fractals #mathematics #Lineair #Algebra #Matrix #technology
Ambraven 
I'm sticking with nalgebra for now because it turns out I also need QR decomposition and I haven't found it in the other crates proposed. I figured out a few things that makes it work...
Well, I'm sure there is a better and more optimized way to write it, but I got it working.
Still it was interesting to try to do the same (supposedly) basic stuff with several crates.
Spoiler, it still a pain, no matter the crate.
I don't think I can post my code since I'm basically trying to port *bad* C++/Eigen/assimp code from work. Maybe a very small part, so someone can tell me how bad my code is and offer a correction.
Your Autistic Life FR/EN/ESJust a though but building a matrix from another matrix plus a line of ones or just getting a vector that sums all the rows of a matrix should be intuitive with any algebra crate.
Radio_Azureusmandelbrot 16:18
syntax
fraqtive- type julia
- parameters x=0.6232 y=0.93748
- variant conjugate
- exponent real=2.50
- formula Z(n+1)=_Z(n)2.5+C
- generation 2D
definitions:
The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]
sources:
man fraqtive(1)
https://en.wikipedia.org/wiki/Mandelbrot_set
#mathematics #programming #advanced #mathematics #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource
RemADeus# mandelbrot 16:18
parameters
#mathematics #programming #advanced #mathematics #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource
Dan StowellLearning some Clifford Algebra (aka Geometric Algebra) - it's beautiful. You can use the same algebra method for 2D, 3D, more - & among other things, it leads to a VERY intuitive way to understand complex numbers! These 2 videos explain it delightfully:
(1) Freya Holmér. "Why can't you multiply vectors?" https://www.youtube.com/watch?v=QFzoltaLESs
(2) "A swift Introduction to Geometric Algebra" https://www.youtube.com/watch?v=60z_hpEAtD8
(Thanks to Scott Hawley for the inspiration & links) #maths #algebra #geometry
(1) Freya Holmér. "Why can't you multiply vectors?" https://www.youtube.com/watch?v=QFzoltaLESs
(2) "A swift Introduction to Geometric Algebra" https://www.youtube.com/watch?v=60z_hpEAtD8
(Thanks to Scott Hawley for the inspiration & links) #maths #algebra #geometry
GAME26 Freya Holmér. Why can't you multiply vectors?
kipriyanovichAlright, future engineers! A **Quadratic Equation** is a polynomial of degree 2: `ax^2 + bx + c = 0`. Solve it with `x = (-b ± sqrt(b^2 - 4ac)) / 2a`. Pro-Tip: The discriminant `(b^2-4ac)` reveals if you have 0, 1, or 2 real solutions *before* calculating!
#Algebra #STEM #STEM #StudyNotes
#Algebra #STEM #STEM #StudyNotes
Alright, future engineers!
A **Logarithm** is the exponent 'y' a base 'b' needs to be raised to get 'x'. Ex: `log_b(x) = y` is equivalent to `b^y = x`. Pro-Tip: Use log properties to turn multiplication into addition, simplifying tough equations!
#Algebra #Logarithms #STEM #StudyNotes
A **Logarithm** is the exponent 'y' a base 'b' needs to be raised to get 'x'. Ex: `log_b(x) = y` is equivalent to `b^y = x`. Pro-Tip: Use log properties to turn multiplication into addition, simplifying tough equations!
#Algebra #Logarithms #STEM #StudyNotes
I'm fascinated with fractal mathematics
>The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z^{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]
sources:
man fraqtive(1)
https://en.wikipedia.org/wiki/Mandelbrot_set
#mathematics #advanced #programming #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource
