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Oscillation theory information


In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation

is called oscillating if it has an infinite number of roots; otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution. The number of roots carries also information on the spectrum of associated boundary value problems.

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Oscillation theory

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0 {\displaystyle y''+y=0} is oscillating as sin(x) is a solution. Oscillation theory was initiated by Jacques Charles François Sturm in his investigations...

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Oscillation

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mechanical oscillation. Oscillation, especially rapid oscillation, may be an undesirable phenomenon in process control and control theory (e.g. in sliding...

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Neutrino oscillation

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Neutrino oscillation is a quantum mechanical phenomenon in which a neutrino created with a specific lepton family number ("lepton flavor": electron, muon...

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Superseded theories in science

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crater theory Expanding Earth theory (superseded by subduction) Contracting Earth Geosyncline theory Haarman's Oscillation theory Various lost landmasses including...

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Grand Unified Theory

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clear evidence that nature is described by any Grand Unified Theory. Neutrino oscillations have led to renewed interest toward certain GUT such as SO(10)...

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Antineutron

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S2CID 123156830. R. N. Mohapatra (2009). "Neutron-Anti-Neutron Oscillation: Theory and Phenomenology". Journal of Physics G. 36 (10): 104006. arXiv:0902...

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Neural oscillation

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Neural oscillations, or brainwaves, are rhythmic or repetitive patterns of neural activity in the central nervous system. Neural tissue can generate oscillatory...

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Parasitic oscillation

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fundamental issues addressed by control theory. Parasitic oscillation is undesirable for several reasons. The oscillations may be coupled into other circuits...

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Hidden attractor

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bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear control theory, the...

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Physics beyond the Standard Model

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fundamental parameters of the standard model, the strong CP problem, neutrino oscillations, matter–antimatter asymmetry, and the nature of dark matter and dark...

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Theory of everything

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A theory of everything (TOE), final theory, ultimate theory, unified field theory or master theory is a hypothetical, singular, all-encompassing, coherent...

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Bounded mean oscillation

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functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp that...

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Chaos theory

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turbulence in fluid motion and nonperiodic oscillation in radio circuits without the benefit of a theory to explain what they were seeing. Despite initial...

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Transient response

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within a decaying envelope. The more underdamped the system, the more oscillations and longer it takes to reach steady-state. Here damping ratio is always...

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Ravi Agarwal

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Point Theory and Applications, Cambridge University Press, Cambridge, 2001, 170pp. R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Difference...

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Erich Haarmann

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geologist known for his tectonic theories. In a 1930 publication Haarmann wrote in detail about his oscillation theory to explain movements, structure...

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Spin foam

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provides the best formulation of the dynamics of the theory of quantum gravity – a quantum field theory where the invariance under diffeomorphisms of general...

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Cosmological constant problem

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density much smaller than a zero-point energy suggested by quantum field theory? (more unsolved problems in physics) In cosmology, the cosmological constant...

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Harmonic oscillator

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harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant...

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Economic integration

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 1–21. Dalimov R.T. Modelling international economic integration: an oscillation theory approach. Trafford, Victoria 2008, 234 p. Dalimov R.T. Dynamics of...

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