#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
#introduction #nouveauici #presentationfr #mathematiques #maths #sciences #informatique #logiciellibre #scilab #gnuoctave #maxima #wxmaxima #moodle #astronomie #astrophotographie #trail #running #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 ind
A 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 :
#maxima #sagemaths #bugreport #mathematics #mathematiques #wxmaxima #sage
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...
#linear #viscous #mywork #ccbysa #maths #wxmaxima
Khurram Wadee ✅ (@mkwadee)
Engineer interested in nonlinear mechanics and science & maths in general. Also, politics & humour.
The animation in my header is a demonstration of Kepler's Second Law of Planetary Motion (CC-BY-SA) -- see https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion
You can check out others mathematical animations by me by searching for #WxMaxima.
Also, you can find my photographs by searching for #D7000. But please note that of course neither of these hashtags is unique to me.
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
#velocity #components #projectile #vertical #horizontal #wxmaxima #maths #mathematics #mechanics #constantacceleration #vectors #dynamics #ccbysa
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
#velocity #components #projectile #vertical #horizontal #wxmaxima #maths #mathematics #mechanics #constantacceleration #vectors #dynamics #ccbysa
#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 .
#vacancesdeprofs #moodle #scilab #wxmaxima #gnuoctave
@ericsfraga @ademalsasa You check some of the plots and animations I've made by searching for #WxMaxima on here.
j'ai appris tout récemment que l'équipe de #scilab a été rachetée par Dassault System ...😞 La syntaxe de #scilab est proche mais un peu différente de matlab sur certains points, parcontre il y a aussi #gnuoctave dont la syntaxe est la même que matlab (le mainteneur J. Eaton était aussi chez ESI Group). Pour le calcul formel ne pas oublier #maxima (et #wxmaxima) et #sagemath (qui utilise maxima au travers d'une console Ipython)
#scilab #gnuoctave #maxima #wxmaxima #sagemath
In #StructuralEngineering #Analysis, #InfluenceLines are used to depict the variation of quantity at a particular location as the location of a #Load or #Action is changed. In the #Animation shown, we can see the change in #BendingMoment in a #StaticallyDeterminate #Beam as a unit force moves from one end to the other. The #BendingMomentDiagram and the influence line for bending moment at the centre of the left-hand span, B, are shown.
#structuralengineering #analysis #InfluenceLines #load #action #animation #BendingMoment #StaticallyDeterminate #beam #BendingMomentDiagram #mywork #ccbysa #wxmaxima #freesoftware #animatedgif
#LogarithmicSpirals are found in many aspects of nature such as in the growth of #snail #shells and the form of #spiral #galaxies. They have a lot of interesting #geometric properties and this #animation highlights just one of them. It shows that the #PolarAngle (here denoted as ⍺) is constant, being the angle that the #tangent of the spiral makes with the tangent of any circle centred at the origin.
#MathsForTheDay #Mathematics #Maths #Geometry #WxMaxima #FreeSoftware
#LogarithmicSpirals #snail #shells #spiral #galaxies #geometric #animation #PolarAngle #tangent #MathsForTheDay #mathematics #maths #geometry #wxmaxima #freesoftware
These animations required me to learn the #mathematics of #CelestialMechanics and I had to find out what terms like #MeanAnomaly, #EccentricAnomaly and #TrueAnomaly are. It also requires the #NumericalSolution of one algebraic equation, which was fun to investigate. All the details are on the #Wikipedia page for Kepler’s Laws here:
https://en.wikipedia.org/wiki/Kepler’s_laws_of_planetary_motion
#MyWork #Maxima #WxMaxima #FreeSoftware #Physics #Astronomy #AnimatedGif #Animation #CCBYSA
#mathematics #CelestialMechanics #MeanAnomaly #EccentricAnomaly #TrueAnomaly #NumericalSolution #wikipedia #mywork #maxima #wxmaxima #freesoftware #physics #astronomy #animatedgif #animation #ccbysa
This little graphical demonstration shows one example of such a state. The #AnimatedGif was produced a routine written in #WxMaxima. 2/2
#Mathematics #TheoryOfElasticity #Mechanics #SolidMechanics #Engineering #MyWork #CCBYSA #WorkInProgress #FreeSoftware
#animatedgif #wxmaxima #mathematics #TheoryOfElasticity #mechanics #SolidMechanics #engineering #mywork #ccbysa #workinprogress #freesoftware
almost complete tutorial about graphics with #wxmaxima and #maxima
https://courses.ms.ut.ee/MTMM.00.328/2018_fall/uploads/Main/Graphics_with_Maxima.pdf
#wxmaxima #maxima #mathematics #maths
#mathematics #maths #maxima #wxmaxima
I made a #bugreport on the simplify_sum bug I discovered 3 weeks ago. I don't know if the problem comes from the Zeilberger/Gosper algorithm or a lack of knowledge on some special functions ....
#mathematics #maths #maxima #wxmaxima #bugreport
#mathematics #maths I've just learned today that finding a closed form for the limit of some series relies on Gosper's algorithm which was first implemented in #macsyma (the #wxmaxima kernel). The algorithm reduce the problem to finding some polynomial solving a system of linear equations ...❤️
#mathematics #maths #macsyma #wxmaxima
I was explaining to my wife yesterday how #DifferentialCalculus gives us a way to find the #gradient of a #function at any point and to illustrate it I wrote a short routine in #Maxima to draw the #tangent to any point on a graph of a function. Here we see the example for the #quadratic and #reciprocal functions, x^2 and 1/x i.e. a #parabola and a #hyperbola respectively.
#MyWork #Gif #AnimatedGif #CCBYSA #WxMaxima #Mathematics #Maths #Calculus #Differentiation
#DifferentialCalculus #gradient #function #maxima #tangent #Quadratic #reciprocal #parabola #hyperbola #mywork #gif #animatedgif #ccbysa #wxmaxima #mathematics #maths #calculus #differentiation
#mathematics #maths there was a last way to check where does the problem comes from : compute the numerical value of closed form given by #wxmaxima and #sage using #wolframalpha ... so there is a bug in simplify_sum used by #maxima and #sage !
#mathematics #maths #wxmaxima #sage #wolframalpha #maxima
#mathematics #maths for those who think that the problem comes from #wxmaxima only you can check that #sage do the same computations . But the question is why ? is the simplification false or is the numerical value of erf function at complex value i wrong?
#mathematics #maths #wxmaxima #sage