Alternatively a design based on an orthogonal triad of fibre optic or ring laser gyroscopes will eliminate these errors, as they depend upon no mechanical parts, instead using the principles of optical path difference to determine rate of rotation.

Alternatively, passive solar computer software can determine the impact of sun path, and cooling-and-heating degree days on energy performance.

Alternatively, confidence intervals can be calculated for each path.

Alternatively, the use of path integrals allows an instanton interpretation and the same result can be obtained with this approach.

Alternatively there is a somewhat eroded path leading steeply up the Coire na Tulaich which, in summer conditions, allows walkers to ascend the peaks, reaching the ridge about half a kilometre west of Stob Dearg.

Alternatively walk to the top of the steep pedestrian path leading north from the station entrance, cross Barnet Hill and turn left down Barnet Hill ( allow at least five minutes to reach this stop either way ):

where the integral is over a path starting at the point at infinity with argument -( 1 / 3 ) π and ending at the point at infinity with argument ( 1 / 3 ) π. Alternatively, we can use the differential equation to extend Ai ( x ) and Bi ( x ) to entire functions on the complex plane.

Alternatively, at Park Street cyclists can join the Royal Parade bike path and on road bike lane which provides access to University of Melbourne main campus in Parkville.

Alternatively ( yet equivalently ) common knowledge can be formalized using set theory ( this was the path taken by the Nobel laureate Robert Aumann in his seminal 1976 paper ).

Alternatively, the path of the zipper may be J-shaped or D-shaped.

Alternatively a more direct path from behind Fisher Place makes straight for the summit.

Alternatively a start can be made at Longlands, crossing the intervening ridge between Meal Fell and Great Cockup and then following a path up between Burn Tod and Frozen Fell.

Alternatively in terms of free current, the line integral of the magnetic H-field ( in ampere per metre, Am < sup >− 1 </ sup >) around closed curve C equals the free current I < sub > f, enc </ sub > through a surface S:

Alternatively, a cameo can be carved by the traditional, but far more difficult, method directly out of a material with integral layers or banding, such as ( banded ) agate or layered glass, where different layers have different colours.

Alternatively, by changing variables, the principal value integral can be written explicitly as

Alternatively, integral transforms, such as the Laplace or Fourier transform, are often used to transform a hyperbolic PDE into a form of the Helmholtz equation.

Alternatively, the existence of a global anomaly implies that the measure of Feynman's functional integral cannot be defined globally.

Alternatively, the integral is often written in differential form dY

Alternatively, some designs of body bags have transparent label pockets as an integral part of the design, into which a name-card can be inserted.

Alternatively, starter cathodes of pre-refined metal can be used, which become an integral part of the finished metal ready for rolling or further processing.

Alternatively, the decay of quantum information caused by the coupling of the system to the environment is referred to as decoherence.

Alternatively, the quantum group U < sub > q </ sub >( G ) can be regarded as an algebra over the field C ( q ), the field of all rational functions of an indeterminate q over C.

Alternatively, microscopes can be classed on whether they analyse the sample via a scanning point ( confocal optical microscopes, scanning electron microscopes and scanning probe microscopes ) or analyse the sample all at once ( wide field optical microscope and transmission electron microscopes ).

Alternatively, if the excited-state atom is perturbed by an electric field of frequency, it may emit an additional photon of the same frequency and in phase, thus augmenting the external field, leaving the atom in the lower energy state.

Alternatively, the plasma can be viewed as a torus of fluid with a magnetic field frozen in.

Alternatively, it is generally possible to effectively block half of the field.

Alternatively, the magnetic field can be defined in terms of the torque it produces on a magnetic dipole ( see magnetic torque on permanent magnets below ).

Alternatively, the electrons can be accelerated by the oscillating electric field induced by an alternating magnetic field of a coil, which results in a self-sustaining discharge and omits any cathode ( radio frequency ion thruster ).

Alternatively, they could use the ITU X. 733 Alarm Reporting Function's perceived severity field.

Alternatively, ovality of the core or cladding may be specified by a tolerance field consisting of two concentric circles, within which the cross section boundaries must lie.

* Alternatively, the drop-off will continue until each team is down to three players ( in mixed competitions, teams are required to have at least one female still on the field ).

Alternatively, the alias command could be appended to the initial opening of a table statement which made referencing a table field unambiguous and simple.

Alternatively, one can find a numerical approximation of the roots in the field of the real or complex numbers.

Alternatively, creative artists may show respect to a veteran of the field or to an admired practitioner by alluding to their work.

In fact, the fraction fields of the rings of regular functions on any open set will be the same, so we define, for any U, K < sub > X </ sub >( U ) to be the common fraction field of any ring of regular functions on any open affine subset of X. Alternatively, one can define the function field in this case to be the local ring of the generic point.

Alternatively, an intertwiner for representations of G over a field K is the same thing as a module homomorphism of K-modules, where K is the group ring of G.

Alternatively, a solution to the field equations is local if the underlying equations are either Lorentz invariant or, more generally, generally covariant or locally Lorentz invariant.

Alternatively, fields of variable length may, for instance, be separated by commas ( see Comma-separated values ) when the end of each individual field must be determined by scanning for the delimiter " one byte at a time ".

Alternatively, if we integrate the normal component of the vector field, the result is a scalar.

Alternatively, it is possible to complete a graduate diploma, start working in the field, and have the company pay for additional courses to attain a masters degree in the same topic later-on ( on a part-time basis for instance ), there-by saving money and time.

Alternatively, the French drain technique may be used to distribute water, such as a septic drain field at the outlet of a typical septic tank sewage treatment system.