4 ms·

So… fixed points? https://en.wikipedia.org/wiki/Fixed_point_(mathematics) https://en.wikipedia.org/wiki/Fixed_point_(mathematics)

• bobbylarrybobby 4y ago
  Yes except eigenvalues need not be 1. e^(kx) is an eigenvector of d/dx for all k but is only a fixed point when k=1
  • ukj 4y ago
    Right, in topology a “point” can represent any mathematical object e.g 1 of “e^(kx)”
• sampo 4y ago
  > So… fixed points? Fixed directions. The operator operating on an eigenvector doesn't change the vector's direction, but can change its magnitude (i.e. length). (Except, if you change the length from positive to negative, then you kind of change, or flip, the direction to 180 degrees opposite.)