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  2. Oscillation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Oscillation_(mathematics)

    Oscillation of a sequence (shown in blue) is the difference between the limit superior and limit inferior of the sequence. In mathematics, the oscillation of a function or a sequence is a number that quantifies how much that sequence or function varies between its extreme values as it approaches infinity or a point.

  3. List of equations in wave theory - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_wave...

    The following may be deduced by applying the principle of superposition to two sinusoidal waves, using trigonometric identities. The angle addition and sum-to-product trigonometric formulae are useful; in more advanced work complex numbers and fourier series and transforms are used.

  4. Oscillation - Wikipedia

    en.wikipedia.org/wiki/Oscillation

    Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum and alternating current .

  5. Phase (waves) - Wikipedia

    en.wikipedia.org/wiki/Phase_(waves)

    That is, the sum and difference of two phases (in degrees) should be computed by the formulas [[+]] [[]] respectively. Thus, for example, the sum of phase angles 190° + 200° is 30° ( 190 + 200 = 390 , minus one full turn), and subtracting 50° from 30° gives a phase of 340° ( 30 − 50 = −20 , plus one full turn).

  6. List of real analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_real_analysis_topics

    Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.

  7. Frequency - Wikipedia

    en.wikipedia.org/wiki/Frequency

    The period T is the time taken to complete one cycle of an oscillation or rotation. The frequency and the period are related by the equation [ 4 ] f = 1 T . {\displaystyle f={\frac {1}{T}}.} The term temporal frequency is used to emphasise that the frequency is characterised by the number of occurrences of a repeating event per unit time.

  8. Oscillation theory - Wikipedia

    en.wikipedia.org/wiki/Oscillation_theory

    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.

  9. Wave - Wikipedia

    en.wikipedia.org/wiki/Wave

    In physics, mathematics, engineering, and related fields, a wave is a propagating dynamic disturbance (change from equilibrium) of one or more quantities. Periodic waves oscillate repeatedly about an equilibrium (resting) value at some frequency .