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Alternating Groups Part 1 

Elliot Nicholson
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In this video we introduce the alternating groups. Topics discussed include cycle decompositions, transpositions and the sign of a set permutation.

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2 сен 2015

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Комментарии : 14   
@paul21353
@paul21353 3 года назад
Elliot, I especially liked the first section of this video on cycle decomposition. Brilliant!
@StephanPichardo
@StephanPichardo 5 лет назад
Excellent. You are a great educator!
@solewalk
@solewalk 2 года назад
Great video. By the way, what does this symbol mean where a serpent is wound around the vertical member of the cross?
@ybc8495
@ybc8495 3 года назад
great! you are davinci; seems you know everything.
@hyperduality2838
@hyperduality2838 Год назад
Even is dual to odd -- permutations. Symmetry is dual to anti-symmetry (alternating). Bosons or photons = symmetric wave functions, Fermions or particles = anti-symmetric wave functions. Bosons are dual to Fermions -- quantum duality! "Always two there are" -- Yoda.
@focusmaestro4013
@focusmaestro4013 Год назад
ok ok
@hyperduality2838
@hyperduality2838 Год назад
@@focusmaestro4013 Addition is dual to subtraction (additive inverses) -- abstract algebra. Multiplication is dual to division (multiplicative inverses) -- abstract algebra. Integration (summations, syntropy) is dual to differentiation (differences, entropy). Homology (convergence, syntropy) is dual to co-homology (divergence, entropy). Injective is dual to surjective synthesizes bijective or isomorphism. There are patterns of duality hardwired into physics, mathematics & philosophy. Gluons are force carriers. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction is dual to repulsion, push is dual to pull, stretch is dual to squeeze -- forces are dual. Gluons attract and repel quarks both at the same time hence gluons are dual as forces are dual. The up quark is dual to the down quark. The strange quark is dual to the charm quark. The top quark is dual to the bottom quark. Mesons:- quarks are dual to anti-quarks. Positive is dual to negative -- electric charge. Thesis (proton) is dual to anti-thesis (electron) synthesizes the photon or force carrier -- atomic duality. Force carriers are synthesized by duality -- the gluon, the photon. The three dimensions of space are actually four dimensions. Space is dual to time -- Einstein. The Penrose tribar is only consistent from two two antipodal perspectives:- ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-l1PCE47jwng.html Antipodal points identify for the rotation group O(3) -- topology. Synthetic a priori knowledge -- Immanuel Kant, knowledge is dual according to Kant. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching.
@user-dc3ms6uz8h
@user-dc3ms6uz8h 4 года назад
اليس هناك شرح باللغة العربية
@ILoveMaths07
@ILoveMaths07 Год назад
مع الأسف... لا يوجد
@blaisemariner
@blaisemariner 7 лет назад
Very informing videos, thank you. Extremely helpful. You just talk so sloooowwwly
@egenverdi
@egenverdi 7 лет назад
Turn it on 1.5 then...
@ampofotwumasi9678
@ampofotwumasi9678 4 года назад
@@egenverdi EXACTLY
@ILoveMaths07
@ILoveMaths07 Год назад
@@egenverdi Did that even exist 6 years ago?
@WahranRai
@WahranRai Год назад
Too long and too much repetition !!!
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