linearised BrE
linearized AmE

The set of linearised polynomials over a given field is closed under addition and composition of polynomials.

The kinase reactions were performed in the absence or presence of linearised DNA as indicated.

It is common to add a linearised viscous damping term, to account for the strong non-linearity of the damping force, especially in the roll motion.

Linearised polynomials with coefficients in F have additional properties which make it possible to define symbolic division, symbolic reducibility and symbolic factorizaton.

CcdB is found in recombinant bacterial genomes and an inactivated version of CcdA is inserted into a linearised plasmid vector.

Conversely, if U is any F-linear subspace of some finite field containing F, then the polynomial that vanishes exactly on U is a linearised polynomial.

In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer.

In mathematics, a linearised polynomial (or q- polynomial) is a polynomial for which the exponents of all the consituent monomials are powers of q and the coefficients come from some extension field of the finite field of order q.

Meanwhile, the "supersonic regime" is usually used to talk about the set of Mach numbers for which linearised theory may be used, where for example the (air) flow is not chemically reacting, and where heat-transfer between air and vehicle may be reasonably neglected in calculations.

For a 9% change in the parameters, however, the linearized system is unstable.

Historically, methods were first developed to solve the Linearized potential equations.

These spaces are all invariant subspaces of the linearized equation.

Solutions can be found using numerical method approximations or by using a linearized form as stated above.

It can be represented as a determinant of linearized system of Bethe equations.

The view factors are used as coefficients in a linearized form of the rendering equation, which yields a linear system of equations.

The bracket notation from Coxeter is a linearized representation of the Coxeter group.

We derive the ion acoustic wave dispersion relation for a linearized fluid description of a plasma with multiple ion species.

Approximate solutions may also be found by perturbation theories such as linearized gravity and its generalization, the post-Newtonian expansion, both of which were developed by Einstein.

This linearized approach, originally devised to solve medium-sized CGE models on early computers, has since proved capable (on modern computers) of solving very large models.

V. I. Zakharov, "Linearized gravitation theory and the graviton mass," JETP Lett.

Efficient Linearized All-Silicon Transmitter ICs (ELASTx)

Using a linearized field equation (appropriate for the study of weak gravitational fields), he derived the famous quadrupole radiation formula quantifying the rate at which such radiation should carry away energy.

Linearized digital phase and frequency detector by John D. Hatchett and Andrew S. Olesin (patent filed 1980, awarded 1983, assigned to Motorola)

Linearized gravity is an approximation scheme in general relativity in which the nonlinear contributions from the spacetime metric are ignored, simplifying the study of many problems while still producing useful approximate results.

This linearized form is found to identify to Poisson's equation using the fact that a field is a curvature, linking the perturbation term to the metric and to the gravitational potential thanks to the relation:

In this idealized and linearized model, there are many geometric parameters (wheelbase, head angle, mass of each body, wheel radius, etc.), but only four significant variables: lean angle, lean rate, steer angle, and steer rate.

It further includes a linear homology theory, called cylindrical or linearized contact homology (sometimes, by abuse of notation, just contact homology), whose chain groups are vector spaces generated by closed orbits and whose differentials count only holomorphic cylinders.

It is typically denoted as C, listed from empirical data experimentally determined in various reference works, and is typically stated as a comparison between a hot and a cold fluid, C and C either graphically, or as a linearized equation.

TASCflow was a structured multi-block hexahedral grid code, with a co-located primitive variable formulation that utilized a control volume based finite element discretization scheme to create a linearized system of equations that was solved using a unique, highly effective proprietary coupled-multigrid solver.

Recently, he and another climber-theorist, Dr. Lisa Randall of the Massachusetts Institute of Technology, published a paper, "Linearized Gravity in Brane Backgrounds," advancing part of a daunting theory that the universe is a four-dimensional bubble (or "4-brane") floating in a 5-dimensional megaverse.

While so called global or inner iterations represent the real time-steps and are used to update the variables and , based on a linearized system, and boundary conditions; there is also an outer loop for updating the coefficients of the linearized system.