Other bilinear transforms can be used to warp the frequency response of any discrete-time linear system ( for example to approximate the non-linear frequency resolution of the human auditory system ) and are implementable in the discrete domain by replacing a system's unit delays with first order all-pass filters.

* A collection of dynamic and non-linear system models and demo applets ( in Monash University's Virtual Lab )

This framework forms a panarchy and exhibits non-linear behaviours ; this means that " effect and cause are disproportionate, so that small changes in critical variables, such as the numbers of nitrogen fixers, can lead to disproportionate, perhaps irreversible, changes in the system properties.

Using a control interface similar to the industry standard Steenbeck flatbed controller, Lightworks was designed to be a non-linear editing system.

It was also used in the Amiga clone DraCo non-linear video system.

Most real systems have non-linear input / output characteristics, but many systems, when operated within nominal parameters ( not " over-driven ") have behavior that is close enough to linear that LTI system theory is an acceptable representation of the input / output behavior.

Video editing software is application software which handles the post-production video editing of digital video sequences on a computer non-linear editing system ( NLE ).

After repeatedly downloading pages, a change rate is inferred for each page and a non-linear programming method must be used to solve the equation system for maximizing freshness.

Originally developed as the " Dartmouth Digital Synthesizer " by Dartmouth College Professor Jon Appleton, in association with NED co-founders Cameron W. Jones and Sydney A. Alonso, the Synclavier would become the pioneering prototype hardware and software system for all digital non-linear synthesis, polyphonic sampling, magnetic ( hard-disk ) recording and sequencing systems technology that is commonplace in all music and sound effects / design today.

This is equivalent to using a non-linear ADC as in a T-carrier telephone system that implements A-law or μ-law companding.

A non-linear load on a power system is typically a rectifier ( such as used in a power supply ), or some kind of arc discharge device such as a fluorescent lamp, electric welding machine, or arc furnace.

Once the sound effects are recorded or captured, they are usually loaded into a computer integrated with an audio non-linear editing system.

While many styles of martial arts teach techniques in a non-linear fashion, WT's system is structured like a school curriculum, with each grade building on the previous, rather than just introducing more information to learn.

The equations from which complex system models are developed generally derive from statistical physics, information theory and non-linear dynamics, and represent organized but unpredictable behaviors of systems of nature that are considered fundamentally complex.

Traditionally, engineering has striven to solve the non-linear system problem while bearing in mind that for small perturbations, most non-linear systems can be approximated with linear systems significantly simplifying the analysis.

However in general, the equation is non-linear, and may lead to chaotic behaviour depending on how sensitive the system is to the initial conditions.

A non-linear editing system ( NLE ) is a video-( NLVE ) or audio editing ( NLAE ) digital audio workstation ( DAW ) system which can perform non-destructive editing on the source material.

The non-linear editing system has to access the video media to be able to edit them.

Another non-linear system was Ediflex, which used a bank of multiple Sony Betamax VCRs for offline editing.

An example of computing power progressing to make non-linear editing possible was demonstrated in the first all-digital non-linear editing system to be released, the " Harry " effects compositing system manufactured by Quantel in 1985.

In order to close the system of equations we need an equation of state for the pressure.

This process would be repeated manually for each of the equations, which would result in a system of equations with one fewer variable.

Initially a study of systems of polynomial equations in several variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes even more important to understand the intrinsic properties of the totality of solutions of a system of equations, than to find a specific solution ; this leads into some of the deepest areas in all of mathematics, both conceptually and in terms of technique.

Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions.

In three dimensions, a single equation usually gives a surface, and a curve must be specified as the intersection of two surfaces ( see below ), or as a system of parametric equations.

The conservation of momentum equations are often called the Navier-Stokes equations, while others use the term for the system that includes conversation of mass, conservation of momentum, and conservation of energy.

The ideal gas law or another equation of state is often used in conjunction with these equations to form a determined system to solve for the unknown variables.

This is in P, since an XOR-SAT formula is a system of linear equations mod 2, and can be solved by Gaussian elimination.

From these four, a multitude of equations, relating the thermodynamic properties of the thermodynamic system can be derived using relatively simple mathematics.

These range from simplified forms of the first-principles equations that are easier or faster to solve, to approximations limiting the size of the system ( for example, periodic boundary conditions ), to fundamental approximations to the underlying equations that are required to achieve any solution to them at all.

Practically, such a matrix is almost singular, and the computation of its inverse, or solution of a linear system of equations is prone to large numerical errors.

Maximizing the log likelihood function with respect to x < sub > 0 </ sub > and γ produces the following system of equations:

In his 1868 paper " On Governors ", J. C. Maxwell ( who discovered the Maxwell electromagnetic field equations ) was able to explain instabilities exhibited by the flyball governor using differential equations to describe the control system.

The system analysis is carried out in time domain using differential equations, in complex-s domain with Laplace transform or in frequency domain by transforming from the complex-s domain.

In modern design, a system is represented to the greatest advantage as a set of decoupled first order differential equations defined using state variables.

The inputs and outputs of a continuous control system are generally related by differential equations.

The transfer function is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-invariant solution of the nonlinear differential equations describing the system.

Independently, Adolf Hurwitz analyzed system stability using differential equations in 1877, resulting in what is now known as the Routh – Hurwitz theorem.

In contrast to the frequency domain analysis of the classical control theory, modern control theory utilizes the time-domain state space representation, a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations.

To abstract from the number of inputs, outputs and states, the variables are expressed as vectors and the differential and algebraic equations are written in matrix form ( the latter only being possible when the dynamical system is linear ).

If we cannot stop warfare in our own economic system, how can we expect to abolish it internationally??

And just how far can the Legislature go toward setting up a self-insurance system for the state in the midst of a governor's race ''??

You can install it yourself -- this is a central system that will cool every part of your house.

If your house is to have a forced warm air system, cooling can be a part of it.

You can get a hot water system that will also work for cooling your house.

The total volume of the system above the reference height is Af, and H can be eliminated to obtain an equation for the total potential energy of the system in terms of H.

If tyrosine and a system generating hydrogen peroxide are added to a cell-free homogenate of the thyroid, large quantities of free mono-iodotyrosine can be formed ( Alexander, 1959 ).

Without a system of values there can be no society.

To some extent the system can be considered a Gemeinschaft in which `` social-role occupancies are determined by birth, by attributes such as sex or caste, which are biologically or socially immutable ''.

Since morale is closely related to pattern maintenance and integration, the higher the morale and solidarity, the better the system can solve the problems of the system.

'' The external pattern or external system can be considered as `` group behavior that enables the group to survive in its environment.

A phonemic system can be stated without reference to morphophonemics, but it cannot always be found without morphophonemics.

Fourth, in the segregated school system, during the period before desegregation, how can we assure equal opportunity??

In fact, in the desegregated school system which may have a good many schools with all-Negro population, how can we assure equal opportunity??

Fifth, in the segregated school system or in the all-Negro or all-white schools, how can we encourage better group relations or an improved attitude toward people who do not belong to the group??

But the really controversial aspect of customer-cost imputation arises because of the cost analyst's frequent practice of including, not just those costs that can be definitely earmarked as incurred for the benefit of specific customers but also a substantial fraction of the annual maintenance and capital costs of the secondary ( low-voltage ) distribution system -- a fraction equal to the estimated annual costs of a hypothetical system of minimum capacity.

Certain features we have touched upon: philosophy as a logical, deductive system from which a social science methodology can be built up ; ;

The point is that in a system such as Fromm's which recognizes unconscious motivations, and which rests on certain ethical absolutes, empirical data can be used to support whatever proposition the writer is urging at the moment.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

`` Moving one or two teeth can affect the whole system, and an ill-conceived plan of treatment can disrupt the growth pattern of a child's face ''.

Andy told him, `` Bake, I wish you'd talk to Skolman, see if some kind of p. a. system can be rigged up outside.