Other formulae come from identities which parametrise the sum of squares to give a power of the sum of squares such as:

With the Reactable users can set up their own instrument interactively, by physically placing different objects (representing oscillators, filters, modulators... ) and parametrise them by rotating and using touch-input.

These profiles include settings to parametrize and to control the communication from start.

This means that the pair parametrize an elliptic curve.

We can parametrize the general line l by the direction φ in which it points and its signed distance p from the origin.

Even more generally, moduli spaces parametrize objects such as elliptic curves of a given kind.

We can parametrize the field in terms of independent fluctuations σ around this direction as follows:

Such an image is so-called because the x- and y- directions of the domain R are 2 variables that parametrize the image.

In a bidimensional space a solution would be to parametrize and so that they would become and where .

Their results, however, can be very wrong if the molecule being computed is not similar enough to the molecules in the database used to parametrize the method.

To facilitate this, the test recorder can automatically parametrize data entry values, and store the data in a spreadsheet like data pool.

VS-PLUS does not provide a programming environment but allows the traffic engineer to parametrize the control.

Shape-Based Segmentation: Many methods parametrize a template shape for a given structure, often relying on control points along the boundary.

In the most frequently cited examples, the "unobservable" quantities are parameters that parametrize a known family of probability distributions according to which the data are distributed.

Other Bayesians prefer to parametrize the Inverse-gamma distribution differently, as a scaled inverse chi-squared distribution.

The Shimura variety theory is related, by the idea that such varieties should parametrize not just good (arithmetically interesting) families of Hodge structures, but actual motives.

It is possible that the dark energy equation of state could change again resulting in an event that would have consequences which are extremely difficult to parametrize or predict.

The collection of scale-invariant statistical theories define the universality classes, and the finite dimensional list of coefficients of relevant operators parametrize the near critical behavior.

A Hilbert scheme, which is a projective scheme, is used to parametrize closed subschemes of P with the prescribed Hilbert polynomial.

The varying size of EDs in urban and rural areas, and the discontinuous nature of the population distribution inside the larger rural EDs is also difficult to parametrize.

It can also be noted that the set of all probability measures has cardinality of continuum, and therefore it is possible to parametrize any model at all by a single number in (0,1) interval.

Several of the applications above make use of quasi-Plücker coordinates, which parametrize noncommutative Grassmannians and flags in much the same way as Plücker coordinates do Grassmannians and flags over commutative fields.

Here the cusps are there for a good reason: the curves parametrize a space of lattices, and those lattices can degenerate ('go off to infinity'), often in a number of ways (taking into account some auxiliary structure of level).

For a polymer of length , parametrize the path of the polymer as , allow to be the unit tangent vector to the chain at , and to be the position vector along the chain.

Again, the conjecture says that each elliptic curve with rational coefficients can be constructed in an entirely different way, not by giving its equation but by using modular functions to parametrize coordinates x and y of the points on it.

In order to do so, we make use of modular polynomials that parametrize pairs of -isogenous elliptic curves in terms of their j-invariants (in practice alternative modular polynomials may also be used but for the same purpose).

Known as the anthropic coincidence or fine-tuned universe, it simply states that the large numbers in LNH are a necessary coincidence for intelligent beings since they parametrize fusion of hydrogen in stars and hence carbon-based life would not arise otherwise.