To scale, the elliptical orbit is shown here and you can see that the centre and the two foci are very close to each other.
Of course, this leads to an implicit rather than an explicit expression involving the variables. and not all #software is capable of plotting such functions. Happily, #WxMaxima has that ability.
#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware
We’re having a #Soliton sale over here! Get yours quick! Seriously, though, this is a quick #animation of the #SolitonInteraction surface – the solution of the #Korteweg-deVries #Eauation showing (x,t,u(x,t)) giving you an all-round view.
#MyWork #CCBYSA #AppliedMathematics #Mathematic #Phyiscs #KdV #KdVEquation #FreeSoftware #WxMaxima
I posted on #Soliton interactions in the #Korteweg-deVries #Equation yesterday with an #Animation of how two #SolitaryWaves interact. The #PhaseShift experienced by both can also be seen in a static #3D plot with time, t, plotted on one axis. You should be able to see a “dog-leg” in the trajectory of each wave after it interacts with the other.
#MyWork #CCBYSA #Mathematics #AppliedMathematics #Physics #FreeSoftware #WxMaxima
A subtlety probably difficult to spot in the animation is that the interaction of the two waves leaves them phase shifted, with the taller wave gaining position, while the shorter one loses it. This further animation shows the interactions again (purple) but I’ve also shown what would happen if each wave moved without interaction with the other (red and blue).
#Animation #Mathematics #AppliedMathematics #Physics #WxMaxima #FreeSoftware
Грядёт замена #wxMaxima ?
Оказывается в #KDE предлагается универсальный GUI для систем математики: #Cantor — https://apps.kde.org/cantor/
Заявленный перечень environments включает: #KAlgebra, #Maxima, #Sage, #Scilab, #Qalculate Т.е. полноценные, давно и хорошо известные системы computer algebra system (CAS) or symbolic algebra system (SAS).
Хотя это скорее дополнительный вариант, тем кто на #linux привык использовать #wxMaxima — https://wxmaxima-developers.github.io/wxmaxima Решает в алгебраическом виде уравнения и системы, численные вычисления, построение графиков. По возможностям близка к Maple и Mathematica.
Из забавного позволяет видеть графики в динамичном виде:
двумерные https://wxmaxima-developers.github.io/wxmaxima/images/wxmaxima-animations.mp4
трехмерные https://wxmaxima-developers.github.io/wxmaxima/images/wxmaxima-animation2.mp4
И в целом всё то, что потом перешло в питоновский Jupyter как notebooks:
#математика #машиннаяалгербра #mathematic #CAS #ComputerAlgebra @russian_mastodon @ru @Russia
So, the reason for this post is to share a dynamic way to see what the meaning of each of those Fmax curves is. They were produced using #WxMaxima and various other #FOSS utilities. I wish something like this was possible way back then, but even most handouts were hand-written in the 1980s.
#MyWork #CCBYSA #Mathematics #Physics #Engineering #Dynamics
It may be a bit soon but I’ve produced a #calendar for #2025. Unlike previous editions, which featured some of my photographs, this one contains #illustrations to do with #mathematics, #geometry, #physics and #engineering applications.
Khurram Wadee ✅
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