Simple harmonic motion (2189 bytes)
1: ...rmonic Oscillator|simple harmonic oscillator]], a motion that is neither driven nor damped.
3: The motion is [[periodic]] and can be described as that of a...
5: One definition of simple harmonic motion is "motion in which the acceleration of the oscillator is pr...
7: [[Image:Simple harmonic motion.png]]
9: A motion with period ''T'' has [[frequency]] <math>f=\fra...

Damped harmonic motion (500 bytes)
1: ...ases due to the affect of a resistive force. The motion can still be modelled mathematically by finding t...

Complex harmonic motion (568 bytes)
1: ...&mdash; of several simultaneous [[simple harmonic motion]]s.
3: ..., and can be analyzed through the techniques of [[harmonic analysis]] discovered by [[Fourier]].
5: ...n]] as negligible) governed by a complex harmonic motion.

Harmonic mean (3096 bytes)
1: [[pl:%C5%9Arednia harmoniczna]]
3: In [[mathematics]], the '''harmonic mean''' is one of several methods of calculating ...
5: The harmonic mean of the positive [[real number]]s ''a''<sub>1...
9: The harmonic mean is never larger than the [[geometric mean]] ...
11: ...eplace the two resistors at once.) Typically, the harmonic mean is appropriate for situations when the avera...

Harmonic (3583 bytes)
1: ...wave. For example, if the frequency is ''f'', the harmonics have frequency ''2f'', ''3f'', ''4f'', etc.
3: ...overtone]]s. It is the amplitude and placement of harmonics and partials which give different instruments di...
5: Sample for a [[harmonic series (music)|harmonic series]]:
10: | first harmonic
15: | second harmonic

Geometric-harmonic mean (1287 bytes)
1: ...he [[square root]] of ''xy''. We then form the [[harmonic mean]] of ''x'' and ''y'' and call it ''h''<sub>1...
11: ...o the same number, which we call the '''geometric-harmonic mean''' M(''x'', ''y'') of ''x'' and ''y''.
13: ...x'', ''y'') is a number between the geometric and harmonic mean of ''x'' and ''y''; in particular it is betw...
17: *[[arithmetic-harmonic mean]]

Harmonic function (3890 bytes)
1: ... and the theory of [[stochastic process]]es, a '''harmonic function''' is a twice [[derivative|continuously ...
12: ...unction is harmonic if and only if it is [[weakly harmonic]].
16: Examples of harmonic functions are the constant, linear and affine fun...
26: ... scalar multiples of harmonic functions are again harmonic.
28: ...hen all [[partial derivative]]s of ''f'' are also harmonic functions on ''U''.

Harmonic tremor (526 bytes)
1: '''Harmonic tremor''' describes a continuous rhythmic [[earth...
3: Harmonic tremor is a continuous release of [[seismic]] ene...

Harmonic conjugate (2598 bytes)
1: ...f''(''z'') is [[analytic function|analytic]]. The harmonic conjugate (when it exists, in a given connected r...
5: which is harmonic, since
18: ...v'' were interchanged, the functions would not be harmonic conjugates, since the minus sign in the Cauchy-Ri...
20: ...tric property of harmonic conjugates. Clearly the harmonic conjugate of ''x'' is ''y'', and the lines of con...
22: Another formulation of the harmonic conjugate is given by the theory of the [[Hilbert...

Harmonic oscillator (7738 bytes)
1: A '''harmonic oscillator''' is a [[classical mechanics|mechanic...
5: ...ity behaves in the same way as ''x''. Examples of harmonic oscillators include [[pendulum]]s (in small angle...
7: Comparing a mechanical harmonic oscillator with an RLC circuit, the following cor...
16: ...ple harmonic oscillator, called [[simple harmonic motion]], is essentially a [[Trigonometric function|sine...
18: ...ciated with such a returning force is called a '''harmonic potential'''. It has the form

Harmonic analysis (4346 bytes)
1: ...waves are called "[[harmonic]]s", hence the name "harmonic analysis." In the past two centuries, it has bec...
3: ...n a harmonic analysis setting. See also [[classic harmonic analysis]].
5: ...ert space]]s, which provides a connection between harmonic analysis and [[functional analysis]].
7: ==Abstract harmonic analysis==
9: One of the more modern branches of harmonic analysis, having its roots in the mid-twentieth c...

Harmonic balancer (1237 bytes)
1: A '''harmonic balancer''' (also called '''crank pulley damper''...
3: ...ar end of the crankshaft, resulting in a twisting motion. Then, when the power is removed from the front, ...
5: To prevent this vibration, a harmonic balancer is attached to the front part of the cra...

Harmonic spectrum (155 bytes)
1: ... '''harmonic spectrum''' is a [[spectrum]] with [[harmonic]]s whose [[frequency|frequencies]] are whole numb...

Weakly harmonic (505 bytes)
1: ...ematics]], a function <math>f</math> is '''weakly harmonic''' in a domain D if
3: ...math> is weakly harmonic if and only if it is a [[harmonic function]].

Harmonic number (551 bytes)
1: In [[mathematics]], the <strong>harmonic number</strong> is given by
9: ...he limit of <math>n\rightarrow \infty</math>, the Harmonic number converges to the [[Riemann zeta function]]...
13: See also [[harmonic series (mathematics)]].

Artificial harmonic (694 bytes)
1: ... to the bridge. This technique is used to produce harmonic tones that are otherwise inaccessible on the inst...
3: This technique, like true harmonics, works by canceling out the [[fundamental tone]]...

Harmonic series (115 bytes)
3: *[[Harmonic series (music)]]
4: *[[Harmonic series (mathematics)]]

Harmonic Convergence (2313 bytes)
1: The '''Harmonic Convergence''' was a loosely-organized [[new age]...
3: ...ch began the first of nine "[[hell]]" cycles. The Harmonic Convergence was to be the end of the "hell" cycle...
4: According to some, the Harmonic Convergence also began the final 26 year countdow...
10: ...wikinfo.org/wiki.phtml?title=Harmonic_Convergence Harmonic Convergence], licensed under the [[GNU Free Docum...

Spherical harmonic (1367 bytes)
1: In [[mathematics]], the '''spherical harmonics''' are an orthogonal set of solutions to [[Lapla...
3: The spherical harmonic with parameters ''l'', ''m'' can be written as:
9: Spherical harmonics are important in many theoretical and practical ...
13: * [[Harmonic function]]
19: ...'s Equation in Spherical Harmonics]''" (Spherical Harmonic Analysis). Solid Earth Geophysics.

Harmonic rhythm (817 bytes)
1: ...underlying changes of harmony. The pattern of the harmonic rhythm of a given piece of music, derived by noti...
3: ... Scriabin]]'s music features an increasingly slow harmonic rhythm beginning in his middle period.
6: *Swain, Joseph P. (2002). ''Harmonic Rhythm: Analysis and Interpretation: Analysis and...

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