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  2. Wave nonlinearity - Wikipedia

    en.wikipedia.org/wiki/Wave_nonlinearity

    a) sinusoidal, b) skewed and c) asymmetric wave shape. Sinusoidal waves (or linear waves) are waves having equal height and duration during the crest and the trough, and they can be mirrored in both the crest and the trough. Due to Non-linear effects, waves can transform from sinusoidal to a skewed and asymmetric shape.

  3. Non-linear effects - Wikipedia

    en.wikipedia.org/wiki/Non-linear_effects

    A positive non-linear effect, (+)-NLE, is present in an asymmetric reaction which demonstrates a higher product ee (ee product) than predicted by an ideal linear situation (Figure 1). [4] It is often referred to as asymmetric amplification , a term coined by Oguni and co-workers. [ 4 ]

  4. Nonlinear system - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_system

    In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. [1] [2] Nonlinear problems are of interest to engineers, biologists, [3] [4] [5] physicists, [6] [7] mathematicians, and many other scientists since most systems are inherently nonlinear in nature. [8]

  5. Spectral line shape - Wikipedia

    en.wikipedia.org/wiki/Spectral_line_shape

    The intensity of each component is a function of at least 3 parameters, position, height and half-width. In addition one or both of the line shape function and baseline function may not be known with certainty. When two or more parameters of a fitting curve are not known the method of non-linear least squares must be used.

  6. Molecular vibration - Wikipedia

    en.wikipedia.org/wiki/Molecular_vibration

    A molecular vibration is a periodic motion of the atoms of a molecule relative to each other, such that the center of mass of the molecule remains unchanged. The typical vibrational frequencies range from less than 10 13 Hz to approximately 10 14 Hz, corresponding to wavenumbers of approximately 300 to 3000 cm −1 and wavelengths of approximately 30 to 3 μm.

  7. List of nonlinear ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/List_of_nonlinear_ordinary...

    Nonlinear ones are of particular interest for their commonality in describing real-world systems and how much more difficult they are to solve compared to linear differential equations. This list presents nonlinear ordinary differential equations that have been named, sorted by area of interest.

  8. Numerical continuation - Wikipedia

    en.wikipedia.org/wiki/Numerical_continuation

    Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations, F ( u , λ ) = 0. {\displaystyle F(\mathbf {u} ,\lambda )=0.} [ 1 ] The parameter λ {\displaystyle \lambda } is usually a real scalar and the solution u {\displaystyle \mathbf {u} } is an n -vector .

  9. Generalized normal distribution - Wikipedia

    en.wikipedia.org/wiki/Generalized_normal...

    The asymmetric generalized normal distribution is a family of continuous probability distributions in which the shape parameter can be used to introduce asymmetry or skewness. [15] [16] When the shape parameter is zero, the normal distribution results. Positive values of the shape parameter yield left-skewed distributions bounded to the right ...

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