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  2. Schröder's equation - Wikipedia

    en.wikipedia.org/wiki/Schröder's_equation

    It is used to analyse discrete dynamical systems by finding a new coordinate system in which the system (orbit) generated by h(x) looks simpler, a mere dilation.. More specifically, a system for which a discrete unit time step amounts to x → h(x), can have its smooth orbit (or flow) reconstructed from the solution of the above Schröder's equation, its conjugacy equation.

  3. Bloch equations - Wikipedia

    en.wikipedia.org/wiki/Bloch_equations

    one, B 0, is constant in time, the other one, ΔB z (t), may be time dependent. It is present in magnetic resonance imaging and helps with the spatial decoding of the NMR signal. M(t) × B(t) is the cross product of these two vectors. M 0 is the steady state nuclear magnetization (that is, for example, when t → ∞); it is in the z direction.

  4. Derivation of the Schwarzschild solution - Wikipedia

    en.wikipedia.org/wiki/Derivation_of_the...

    This diagram gives the route to find the Schwarzschild solution by using the weak field approximation. The equality on the second row gives g 44 = −c 2 + 2GM/r, assuming the desired solution degenerates to Minkowski metric when the motion happens far away from the blackhole (r approaches to positive infinity).

  5. Talk:Schrödinger equation/Archive 3 - Wikipedia

    en.wikipedia.org/wiki/Talk:Schrödinger_equation...

    Has it been proved that analytical solutions to the time-independent schrodinger equations of molecular systems are impossible, or is it just the case that solutions have not been found. 212.140.167.98 13:29, 31 July 2007 (UTC) An "...electronic term...makes analytical solution of the Schrödinger equation impossible for many-electron systems."

  6. 5 Little Luxuries To Buy That’ll Help You With Your 2025 ...

    www.aol.com/5-little-luxuries-buy-ll-220016048.html

    The New Year — and the entire month of January — is often the busiest time at the gym. This increase is largely driven by New Year’s resolutions as more people set fitness and health goals.

  7. Fermi's golden rule - Wikipedia

    en.wikipedia.org/wiki/Fermi's_golden_rule

    Fermi's golden rule predicts that the probability that an excited state will decay depends on the density of states. This can be seen experimentally by measuring the decay rate of a dipole near a mirror: as the presence of the mirror creates regions of higher and lower density of states, the measured decay rate depends on the distance between ...

  8. How a TikTok Video Led to Arrest of Man Accused of Luring ...

    www.aol.com/tiktok-video-led-arrest-man...

    Police say a TikTok video post has led to the capture of a Florida man who was on the run for more than three years after he allegedly lured his estranged girlfriend to a cemetery where he killed her.

  9. 4 Critical Steps to Take to Maximize the Power of Your 401(k ...

    www.aol.com/4-critical-steps-maximize-power...

    For example, if you earn $100K and your employer matches 100% of contributions up to 4%, you should contribute at least $4,000 in 2025 to avoid leaving free money on the table.