Solid Möbius Strips as Algebraic Surfaces
Submitted by Stephan Klaus on
How to make a Möbius strip with SURFER.
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Glances at Infinity
Submitted by IMAGINARY on
Survey article on symmetries and chaos
Solid Trefoil Knot as an Algebraic Surface
Submitted by Stephan Klaus on
How to make the trefoil knot with SURFER
World record surfaces
Submitted by IMAGINARY on
Introduction to surfaces with many singularities
Coriolis kuvveti
Submitted by Michel Darche on
Hiç dönen bir platformda sağa doğru ilerleyerek hedefinize ulaşmayı denediniz mi? Eğer hedefe ulaşmak istiyorsanız, hedefinizin soluna doğru hareket etmelisiniz. Aynı şeyi hedefiniz sizden daha yavaş hareket ettiğinde de yapmalısınız. Sanki hedefiniz hayali bir kuvvet tarafından saptırılıyormuş gibi! İşte bu kuvvete «Coriolis kuvveti» denir. Fransız matematikçi G. G. de Coriolis (1792-1843) Dünya’nın dönmesinin rüzgar ve okyanus akımlarına etkisini açıklayan ilk bilim insanıdır. Merkezkaç kuvveti üzerine kuramsal çalışmalar yapmıştır.
Solitons and Tsunamis
Submitted by Michel Darche on
Solitons are solitary waves observed for the first time by the Scottish mathematician and engineer J. S. Russell in 1834. Solitons travel very long distances at a constant speed without loss of energy. Their speed is proportional to the square root of the deepness of the channel.
Where are you?
Submitted by Michel Darche on
How many satellites orbiting around the Earth are needed to compute exactly one’s position at each instant?
The GPS system uses a set of satellites (at least 24) orbiting around the Earth and emitting signals.
An ideal GPS receiver measures the travel time of three signals from emitted by three satellites to the receiver. From each measure it computes its distance to each satellite.
Is the core of the Earth solid or liquid?
Submitted by Michel Darche on
Using the anomalies in the propagation of seismic waves detected by analysing seismic data recorded by seismographs around the world, the Danish mathematician Inge Lehmann showed in 1936 that the liquid core of the Earth contains a solid inner core of radius 1,200km. Despite a temperature above 5000° C, the inner core becomes solid because of the pressure, which is more than 3.5 millions stronger at a depth of 5000 km than on the surface.
The melting of glaciers
Submitted by Michel Darche on
Global warming causes the expansion of oceans and the melting of glaciers.
Simulation software like ”Flood map”, based on elevation data coming from satellite radars allows to compute the potential consequences of the rising of the sea level on coastal regions and populations, including large cities like Rio de Janeiro, New York, Tokyo, Shanghai, etc.
Erosion and fractal coasts
Submitted by Michel Darche on
In the 60’s, it was noticed that the geometry of rocky coasts is also fractal: this means that, when zooming on a photo, whatever the zoom, we see new details appearing that have the same character as the large scale details.