#wxmaxima — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #wxmaxima, aggregated by home.social.
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@MiaMarkTwo Thanks, you can check others out by searching for #wxmaxima if you're into that sort of thing.
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@MiaMarkTwo Thanks, you can check others out by searching for #wxmaxima if you're into that sort of thing.
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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.
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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.
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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
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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
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Of course this was known to many famous #mathematicians, like #Euler and #Jacobi and they solved the equations in terms of #EllipticIntegrals. I find it satisfying to be able to visualize the #dynamics of the this system, using #FreeSoftware, such as #WxMaxima.
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Of course this was known to many famous #mathematicians, like #Euler and #Jacobi and they solved the equations in terms of #EllipticIntegrals. I find it satisfying to be able to visualize the #dynamics of the this system, using #FreeSoftware, such as #WxMaxima.
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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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.
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Yesterday, I posted an image of the #LorenzAttractor showing the evolution of three trajectories (shown in red, green and blue) starting close together. Here, I’ve made it into a little animation to show how the paths initially stay close to each other but after about a quarter of the duration plotted, they #diverge from each other irrevocably (i.e. become uncorrelated) but remain part of the #ChaoticAttractor.
#DynamicalSystems #Mathematics #AppliedMathematics #CCBYSA #FreeSoftware #WxMaxima
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Yesterday, I posted an image of the #LorenzAttractor showing the evolution of three trajectories (shown in red, green and blue) starting close together. Here, I’ve made it into a little animation to show how the paths initially stay close to each other but after about a quarter of the duration plotted, they #diverge from each other irrevocably (i.e. become uncorrelated) but remain part of the #ChaoticAttractor.
#DynamicalSystems #Mathematics #AppliedMathematics #CCBYSA #FreeSoftware #WxMaxima
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Just messing about a bit. Here is the famous #LorenzAttractor plotted using #WxMaxima. The three #trajectories, shown in red, green and blue are for three fairly nearby #InitialConditions.
#DynamicalSystems #ChaoticAttractors #StrangeAttractors #NumericalSolutions #Mathematics #AppliedMathematics #CCBYSA #FreeSoftware
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Just messing about a bit. Here is the famous #LorenzAttractor plotted using #WxMaxima. The three #trajectories, shown in red, green and blue are for three fairly nearby #InitialConditions.
#DynamicalSystems #ChaoticAttractors #StrangeAttractors #NumericalSolutions #Mathematics #AppliedMathematics #CCBYSA #FreeSoftware
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Using the mapping w → z+1/z, you get something that looks remarkably like an #aerofoil.
It is a #ConformalMapping meaning that angles are preserved during the mapping. In this animation, I’ve varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero #AngleOfAttack, you can see the change in the airflow around the #wing as its shape changes.
#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow
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Using the mapping w → z+1/z, you get something that looks remarkably like an #aerofoil.
It is a #ConformalMapping meaning that angles are preserved during the mapping. In this animation, I’ve varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero #AngleOfAttack, you can see the change in the airflow around the #wing as its shape changes.
#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow
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The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i).
#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow
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The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i).
#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow
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This is why #Engineers use #TransitionCurves in the form of #CornuSpirals or #Clothoids to connect from the straight segment onto a circular arc. It has the property that it starts with zero #curvature at the beginning and then the curvature increases linearly with distance travelled along the curve. At the appropriate curvature, it is connected to a circular arc with the same curvature.
#MyWork #WxMaxima #CivilEngineering #HighwayEngineering #CCBYSA
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This is why #Engineers use #TransitionCurves in the form of #CornuSpirals or #Clothoids to connect from the straight segment onto a circular arc. It has the property that it starts with zero #curvature at the beginning and then the curvature increases linearly with distance travelled along the curve. At the appropriate curvature, it is connected to a circular arc with the same curvature.
#MyWork #WxMaxima #CivilEngineering #HighwayEngineering #CCBYSA
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A high-speed road or railway track that is poorly designed. The vehicle moves at constant speed from the straight segment of road or track directly onto a CircularArc and thereby encounters an instantaneous application of centripetal acceleration. This is neither good for the driver and passengers who will feel a sudden force outwards, nor for the vehicle which my skid and impose large stress changes in the axles and bearings.
#MyWork #WxMaxima #CivilEngineering #HighwayEngineering #CCBYSA
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A high-speed road or railway track that is poorly designed. The vehicle moves at constant speed from the straight segment of road or track directly onto a CircularArc and thereby encounters an instantaneous application of centripetal acceleration. This is neither good for the driver and passengers who will feel a sudden force outwards, nor for the vehicle which my skid and impose large stress changes in the axles and bearings.
#MyWork #WxMaxima #CivilEngineering #HighwayEngineering #CCBYSA
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Forgive the recent apparent obsession (I’d call it a fascination) with the #cycloid but I’ve just discovered something I’d not heard of before. It is also called a #TautochroneCurve or #Isochrone curve, which means that a particle starting from any location on the curve will get to the #MinimumPoint at precisely the same time as a particle starting at any other point.
#Dynamics #Kinematics #Mathematics #AppliedMathematics #Mechanics #ClassicalMecanics #WxMaxima #FreeSoftware #MyWork #CCBYSA
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Forgive the recent apparent obsession (I’d call it a fascination) with the #cycloid but I’ve just discovered something I’d not heard of before. It is also called a #TautochroneCurve or #Isochrone curve, which means that a particle starting from any location on the curve will get to the #MinimumPoint at precisely the same time as a particle starting at any other point.
#Dynamics #Kinematics #Mathematics #AppliedMathematics #Mechanics #ClassicalMecanics #WxMaxima #FreeSoftware #MyWork #CCBYSA
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Anyway, the #animation took a bit of thought as it requires a bit of #Mechanics, some #Integration and is made a bit more tricky as the curve is multi-valued and so you need to treat different branches separately. The #AnimatedGif was produce with #WxMaxima.
#MyWork #CCBYSA #Mathematics #Maths #AppliedMathematics #Physics #Calculus
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Anyway, the #animation took a bit of thought as it requires a bit of #Mechanics, some #Integration and is made a bit more tricky as the curve is multi-valued and so you need to treat different branches separately. The #AnimatedGif was produce with #WxMaxima.
#MyWork #CCBYSA #Mathematics #Maths #AppliedMathematics #Physics #Calculus
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Imagine a circular wheel rolling, without skidding, on a flat, horizontal surface. The #locus of any given point on its #circumference is called a #cycloid. It is a #periodic #curve with #period over the #circle's circumference and has #cusps whenever the point is in contact with the surface (the two sides of the curve are tangentially vertical at that point).
#Mathematics #Geometry #Maths #AppliedMathematics #Mechanics #Kinematics #Dynamics #Physics #MyWork #CCBYSA #WxMaxima
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Imagine a circular wheel rolling, without skidding, on a flat, horizontal surface. The #locus of any given point on its #circumference is called a #cycloid. It is a #periodic #curve with #period over the #circle's circumference and has #cusps whenever the point is in contact with the surface (the two sides of the curve are tangentially vertical at that point).
#Mathematics #Geometry #Maths #AppliedMathematics #Mechanics #Kinematics #Dynamics #Physics #MyWork #CCBYSA #WxMaxima
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Just a simple demonstration here of the #locus of a #StraightLine in #ThreeDimensionalSpace in #CartesianCoordinates passing through a known point with #PositionVector a and a direction d. A #Projection onto the x-y plane is also depicted.
#AnimatedGif #FreeSoftware #WxMaxima #Mathematics #Maths #Geometry #MyWork #CCBYSA
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Just a simple demonstration here of the #locus of a #StraightLine in #ThreeDimensionalSpace in #CartesianCoordinates passing through a known point with #PositionVector a and a direction d. A #Projection onto the x-y plane is also depicted.
#AnimatedGif #FreeSoftware #WxMaxima #Mathematics #Maths #Geometry #MyWork #CCBYSA
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I've finally found why some line-breaks "\" appeared "randomly" in #maxima output I generate with
maxima --batch-string ' ... '
It was hard to find because it appeared in #TexLatex strings most of the time, and only in very long output that occurs rarely. Today I've got a lot of such problem and I realized that all line-breaks where at the same position in the output text-file 🤦♂️ This was just a line-break for too long output strings. I need to find a work around now ...
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#introduction : some #newhere ? It's time to make a short #presentation !
I teach #mathematics for ingeniers, in #France , so I share about #maths, #science, #programming, especially #scilab #gnuoctave or #maxima #wxmaxima, and some #moodle stuff.
I also like #astronomy #astrophotography and #trail #running and #cycling .
#welcome -
#introduction : des #nouveauici ? c'est l'occasion de refaire une petite #presentationfr !
Je suis prof de #mathématiques que j'enseigne à de futurs ingénieurs, donc vous verrez dans ma TL #maths, #sciences, #informatique, en particulier #logiciellibre , programmation avec #scilab #gnuoctave ou #maxima #wxmaxima et parfois un peu de #moodle .
Je suis aussi passionné par #astronomie , #astrophotographie et aussi #trail #running et #velo
#bienvenus -
I've found a lot of situations where #maxima and #sagemaths fail to compute indefinite limits
of functions involving trigonometric expressions as x tends to infinity.f:(4*x^3+2*x^2*sin(x)+1)/(x+1)^2;
limit(f-x*4,x,inf); # should be indA work-around in Maxima is to force a ratsimp before the limit, but this doesn't work with SageMaths ...🤦♂️
I made a #bugreport but they are a lot of similar cases already reported :
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A simple model for it might be to assume it is a #linear #viscous fluid offering resistance proportional to the velocity of the projectile, i.e. R = -k.v, where v is the velocity vector and k is a constant which dictates how viscous the fluid is.
Happily, this model has exact solutions so I didn’t need to do any numerical integration. Here are four different cases, including the ideal case k = 0. The others are k = 0.1, 1 and 10, with the k=1highlighted. Pt2...
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A simple model for it might be to assume it is a #linear #viscous fluid offering resistance proportional to the velocity of the projectile, i.e. R = -k.v, where v is the velocity vector and k is a constant which dictates how viscous the fluid is.
Happily, this model has exact solutions so I didn’t need to do any numerical integration. Here are four different cases, including the ideal case k = 0. The others are k = 0.1, 1 and 10, with the k=1highlighted. Pt2...
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I was explaining to my wife how the #velocity #components of an idealized #projectile differ. She was having some problems understanding that only the #vertical component changes and that the #horizontal component remains constant. In the end, I knocked up this little animation to tr and explain pictorially (the program in #WxMaxima is actually interactive. so you can stop it, step through it or run it backwards).
#Maths #Mathematics #Mechanics #ConstantAcceleration #Vectors #Dynamics #CCBYSA
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I was explaining to my wife how the #velocity #components of an idealized #projectile differ. She was having some problems understanding that only the #vertical component changes and that the #horizontal component remains constant. In the end, I knocked up this little animation to tr and explain pictorially (the program in #WxMaxima is actually interactive. so you can stop it, step through it or run it backwards).
#Maths #Mathematics #Mechanics #ConstantAcceleration #Vectors #Dynamics #CCBYSA
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#vacancesdeprofs encore environ 200 questions de QCM créées en quelques jours pour les insérer dans mes modules d'enseignement sur #moodle . Des lots de questions avec feedbacks générés avec #scilab #wxmaxima et #gnuoctave sous forme de fichiers au format gift ou xml .
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@ericsfraga @ademalsasa You check some of the plots and animations I've made by searching for #WxMaxima on here.
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@ericsfraga @ademalsasa You check some of the plots and animations I've made by searching for #WxMaxima on here.
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#mathematics #maths when I want to check such identities I try some computer algebra system like #wxmaxima . the software often give a closed form more complicated than mine, so I compare numerical values and strange things can happend ...
