#maths
///Maths en Maternelle///
Espace d’échange de pratiques d’activités mathématiques en maternelle (à partir de la section des 2 ans jusqu’à la Grande Section).
http://math.maternelle.free.fr/
Plus de ressources ouvertes sur https://libre.graineahumus.org
#échange #pratiques #maths #maternelle #éducation #pratique
check this #maths:
“We already have the means to travel among the stars, but these technologies are locked up in black projects and it would take an act of God to ever get them out to benefit humanity… anything you can imagine we already know how to do.” — Ben Rich, former Head of the Lockheed Skunk Works
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“It is easier for us to pay a private contractor to re-invent something so it will come out at a lower classification level, than to try to declassify it.” – Bennett Hart, then Deputy Director of the National Reconnaissance Organization
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#lockhed #nro #musk #theory
#if #this #plus #that #then #why #so #slow ?
A couple of weeks ago, I posted an #animation of a point on a circle generating a #cycloid.
If you turn the curve "upside down", you get the #BrachistochroneCurve. This curve provides the shortest travel time starting from one cusp to any other point on the curve for a ball rolling under uniform #gravity. It is always faster than the straight-line travel time. This is an interesting problem in #ClassicalMechanics and exercised luminaries like #Newton and #Euler. I think the latter's use of the #CalculusOfVariations is a stroke of genius.
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.
For some reason that I can't fathom, I'm not finding it possible to upload the graphic and so if you want to see it, please use the link below.
https://drive.google.com/file/d/1edcZnZ_uiaQOQrFB03XHslNUVCmxcSut/view?usp=drive_link
#MyWork #CCBYSA #Mathematics #Maths #AppliedMathematics #Physics #Calculus
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 over a length equivalent to the #circle's circumference and has #cusps whenever the point is in contact with the surface (i.e. the two sides of the curve are tangentially vertical at that point).
Interestingly, it is also the curve that solves the #Brachistochrone problem, which means that starting at a cusp on the inverted curve (maximum height), a frictionless ball will roll under uniform gravity in minimum time from the start to any other point on the curve, even beating the straight line path.
#Mathematics #Geometry #Maths #AppliedMathematics #Mechanics #Kinematics #Dynamics #Physics #MyWork #CCBYSA #WxMaxima
The Return of -1/12 - Numberphile
Mind blown :
0.999999.... = 1
Proof? Let's say
x = 0.999999...
10x = 9.999999.....
10x - x = 9
9x = 9
therefore x = 1.
More fun at
https://invidious.fdn.fr/watch?v=FmLIGN8ZGdw
///Dimensions///
Nine chapters, two hours of maths (video), that take you gradually up to the fourth dimension.
https://www.dimensions-math.org/Dim_E.htm
#Dimensions #maths #video #free #Creative_Commons
///Dimensions///
Neuf chapitres, deux heures de maths en vidéo, pour découvrir progressivement la quatrième dimension.
https://www.dimensions-math.org/Dim_fr.htm
#Dimensions #maths #video #libre #Creative_Commons
What really has a 1 in a million chance?
20 coin tosses (by me) all coming up Tails. YES
dying in a skydiving jump NO
You being killed during a 200 mile auto trip in California. YES
Being struck by lightning. NO
https://www.stat.berkeley.edu/~aldous/Real-World/million.html
Just a simple demonstration here of the #locus of #StraightLine in ##ThreeDimensionalSpace in #CartesianCoordinateds 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