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En matemáticas y física, el truco del plat … En matemáticas y física, el truco del plato, también conocido como el truco del cinturón de Dirac, el truco del cinturón o el truco de la copa balinesa, es una de las varias demostraciones de la idea de que girar 360 grados un objeto sujeto con bandas unidas a puntos fijos, no devuelve el sistema a su estado original, mientras que una segunda rotación de 360 grados, es decir, una rotación total de 720 grados, sí lo hace. Matemáticamente, es una demostración del teorema de que SU(2) (que recubre doblemente SO(3)) es simplemente conexo. Decir que SU(2) recubre doblemente SO(3), significa esencialmente que los cuaterniones unitarios representan dos veces el grupo de rotaciones.esentan dos veces el grupo de rotaciones.
, In mathematics and physics, the plate tric … In mathematics and physics, the plate trick, also known as Dirac's string trick, the belt trick, or the Balinese cup trick, is any of several demonstrations of the idea that rotating an object with strings attached to it by 360 degrees does not return the system to its original state, while a second rotation of 360 degrees, a total rotation of 720 degrees, does. Mathematically, it is a demonstration of the theorem that SU(2) (which double-covers SO(3)) is simply connected. To say that SU(2) double-covers SO(3) essentially means that the unit quaternions represent the group of rotations twice over. A detailed, intuitive, yet semi-formal articulation can be found in the article on tangloids. can be found in the article on tangloids.
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| rdfs:comment |
In mathematics and physics, the plate tric … In mathematics and physics, the plate trick, also known as Dirac's string trick, the belt trick, or the Balinese cup trick, is any of several demonstrations of the idea that rotating an object with strings attached to it by 360 degrees does not return the system to its original state, while a second rotation of 360 degrees, a total rotation of 720 degrees, does. Mathematically, it is a demonstration of the theorem that SU(2) (which double-covers SO(3)) is simply connected. To say that SU(2) double-covers SO(3) essentially means that the unit quaternions represent the group of rotations twice over. A detailed, intuitive, yet semi-formal articulation can be found in the article on tangloids. can be found in the article on tangloids.
, En matemáticas y física, el truco del plat … En matemáticas y física, el truco del plato, también conocido como el truco del cinturón de Dirac, el truco del cinturón o el truco de la copa balinesa, es una de las varias demostraciones de la idea de que girar 360 grados un objeto sujeto con bandas unidas a puntos fijos, no devuelve el sistema a su estado original, mientras que una segunda rotación de 360 grados, es decir, una rotación total de 720 grados, sí lo hace. Matemáticamente, es una demostración del teorema de que SU(2) (que recubre doblemente SO(3)) es simplemente conexo. Decir que SU(2) recubre doblemente SO(3), significa esencialmente que los cuaterniones unitarios representan dos veces el grupo de rotaciones.esentan dos veces el grupo de rotaciones.
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| rdfs:label |
Plate trick
, Truco del plato
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