Non-linear activation functions that are commonly used include the logistic function, the softmax function, and the gaussian function.

Non-linear operations on pipelines may include:

Non-linear elements such as diodes may be added to enhance the production of harmonic frequencies.

Non-linear editing systems such as iMovie and Openshot for Linux include an effect or transition called Ken Burns Effect, with which a still image may be incorporated into a film using this kind of slow pan and zoom.

Non-linear self-regenerative heterodyning systems can be approximated.

A Non-linear editing system ( NLE ) product would be added later, with the invention of the Video Toaster Flyer, though the product never really worked to professional standards because it could not consistently play video without jitters.

Non-linear methods can be broadly classified into two groups: those that provide a mapping ( either from the high dimensional space to the low dimensional embedding or vice versa ), and those that just give a visualisation.

Non-linear objectives and constraints could also be incorporated if needed.

Non-linear kinematic wave for debris flow can be written as a generalized Burgers ' equation with complex non-linear coefficients:

Non-linear undo can be further subcategorized into direct selective undo, script interpretation undo, and cascading undo.

* Non-linear recovery of data, enabling a specific file to be restored quicker and simpler than with tape.

Non-linear PCM encodings ( A-law / mu-law, ADPCM, NICAM ) attempt to improve their effective dynamic ranges by a variety of methods-logarithmic step sizes between the output signal strengths represented by each data bit ( trading greater quantisation distortion of loud signals for better performance of quiet signals )

Non-linear adventures are more flexible about the order of player activities, and allow the players a greater opportunity to " write " their own adventure.

* Curve fitting like Non-linear least squares analysis and other generalizations, used in fitting model parameters to experimental data in chemistry, physics, medicine, astronomy, engineering.

Non-linear least squares problems arise for instance in non-linear regression, where parameters in a model are sought such that the model is in good agreement with available observations.

Non-linear editing with computers as we know it today was first introduced by Editing Machines Corp. in 1989 with the EMC2 editor, a hard disk-based non-linear off-line editing system, using half-screen-resolution video at 15 frames per second.

* Non-linear editing system ( NLE ), using computers with video editing software

* Non-linear least squares, in statistics, a method used in regression analysis

Two standards were developed: Non-linear NIR, in which a process analogous to gamma correction is used, and Linear NIR or SECAM IV that omits this process.

Non-linear loads, such as rectifiers, distort the current drawn from the system.

Non-linear loads change the shape of the current waveform from a sine wave to some other form.

Non-linear loads create harmonic currents in addition to the original ( fundamental frequency ) AC current.

** English translation: Non-linear Wave Mechanics: A Causal Interpretation.

Non-linear editing is the most natural approach when all assets are available as files on video servers or hard disks rather than recordings on reels or tapes, while linear editing is related to the need to sequentially view a film or read a tape to edit it.

Non-linear editing enables direct access to any video frame in a digital video clip, without needing to play or scrub / shuttle through adjacent footage to reach it, as was necessary with historical video tape linear editing systems.

* Linear vs. Non-linear editing

Non-linear viscoelasticity of hagfish slime.

* Steven Strogatz, " Non-linear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engineering ", Perseus Books, 2000.

Non-linear materials include rubber and soils, except under very small strains.

Non-linear editing is not inherent to every hard-disk recording system, however.

* Hartley, R. V. L., " Oscillations with Non-linear Reactances ".

Non-linear dependence of the level of a series on previous data points is of interest, partly because of the possibility of producing a chaotic time series.

* Non-linear storytelling -- The film begins with a provocative situation and then goes back in time to show how the situation came to occur.

Non-linear behaviours emerge such as turbulence, eddies and relatively quiet regions.

A variety of other measures could be combined to produce a multi-variate distance measure.

Quadratic terms, when included, can be expressed in terms of ( multi-variate ) bond convexity.

) in which only one behavioural determinant was allowed in a stimulus-response type of relationship ; the multi-variate model ( He called it a " reduced form scheme ".

* The parallel-processor nature of the X-MP and its ability to solve multi-variate simultaneous equations rapidly is used in Tom Clancy's novel, The Hunt for Red October, when ' Skip ' Tyler uses the USAF's X-MP machine to work out the performance and sonic characteristics of the October for Jack Ryan on behalf of the CIA in return for both profit and the chance to evaluate the vessel should it successfully defect.

In comparison to other data-driven modeling paradigms such as multi-layer perceptrons artificial neural networks ( MLP ANN ) and classical multi-variate regression analysis, the KSOM is not negatively affected by missing data.

) in which numerous functional relations ( either univariate or multi-variate ) interact in a complex system of equations.

In carrying out his functions under Section 2 of this Act, the Secretary may -- ( A )

There is hereby authorized to be appropriated, out of any money in the Treasury not otherwise appropriated, such sums as may be necessary to enable the Commission to carry out its functions under this Title.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

Depending on the client's needs and the jurisdiction's requirements, the spectrum of the architect's services may be extensive ( detailed document preparation and construction review ) or less inclusive ( such as allowing a contractor to exercise considerable design-build functions ).

However, there are certain limitations: they may not administer the sacraments and related functions whose celebration is reserved to bishops, priests, deacons, or seminarians ( the male clergy ), namely, Holy Orders ( they may make provision for an ordained cleric to help train and to admit some of their members, if needed, as altar servers, Eucharistic ministers, or lectors-the minor ministries which are now open to the non-ordained ).

As they do not receive Holy Orders in the Catholic, Orthodox and Oriental Churches, they do not possess the ability to ordain any religious to Holy Orders, or even admit their members to the non-ordained ministries to which they can be installed by the ordained clergy ( females do not serve as clergy anyway, per formal church teaching, in these churches ), nor do they exercise the authority they do possess under canon law over any territories outside of their monastery and its territory ( though non-cloistered, non-contemplative female religious members who are based in a convent or monastery but who participate in external affairs may assist as needed by the diocesan bishop and local secular clergy and laity, in certain pastoral ministries and administrative and non-administrative functions not requiring ordained ministry or status as a male cleric in those churches or programs ).

As an example, the former camp considers surjectivity — or being onto — as a property of functions, while the latter sees it as a relationship that functions may bear to sets.

One can also consider partial binary functions, which may be defined only for certain values of the inputs.

However, block ciphers may also be used as building blocks in other cryptographic protocols, such as universal hash functions and pseudo-random number generators.

Several elementary functions which are defined via power series may be defined in any unital Banach algebra ; examples include the exponential function and the trigonometric functions, and more generally any entire function.

Programming tools are intended to assist a programmer in writing computer programs, and they may be combined in an integrated development environment ( IDE ) to more easily manage all of these functions.

Software libraries include collections of functions and functionality that may be embedded in other applications.

Bernard Baars proposed that once in place, this " recursive " circuitry may have provided a basis for the subsequent development of many of the functions that consciousness facilitates in higher organisms.

It may also be deliberately induced by pharmaceutical agents in order to preserve higher brain functions following brain trauma, or to save the patient from extreme pain during healing of injuries or diseases.

* Functions may not be defined within the lexical scope of other functions.

It may be possible to apply the chain rule even when there are no formulas for the functions which are being differentiated.

If F is clear from context then Ω < sub > F </ sub > may be denoted simply Ω, although different prefix-free universal computable functions lead to different values of Ω.

Curried functions may be used in any language that supports closures ; however, uncurried functions are generally preferred for efficiency reasons, since the overhead of partial application and closure creation can then be avoided for most function calls.

The compare and compute functions are completed within the controller which may be completed electronically through a Proportional Control, PI Controller, PID Controller, Bistable, Hysteretic control or Programmable logic controller.

For some distributed parameter systems the vectors may be infinite-dimensional ( typically functions ).

Some content-control software includes time control functions that empowers parents to set the amount of time that child may spend accessing the Internet or playing games or other computer activities.