Alternatively, a binary function may be interpreted as simply a function from X × Y to Z.

Alternatively, under penultimate hop popping this function may instead be performed by the LSR directly connected to the LER.

# Alternatively, a single functional allele in the heterozygote may produce insufficient gene product for proper function, and the phenotype resembles that of the homozygote for the non-functional allele.

Alternatively, in polar coordinates, the gain of the transfer function is plotted as the radial coordinate, while the phase of the transfer function is plotted as the angular coordinate.

Alternatively, methods such as the delta rule can be used if the function is non-linear and differentiable, although the one below will work as well.

Alternatively, the parameter c can be interpreted by saying that the two inflection points of the function occur at x = b − c and x = b + c.

Alternatively it is possible to overexpress mutant forms of a gene that interfere with the normal ( wildtype ) genes function.

( Alternatively, we could use the theorem that every compact metric space is a continuous image of the Cantor set to get the function.

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, a production function can be defined as the specification of the minimum input requirements needed to produce designated quantities of output, given available technology.

Alternatively, and preferably, the function of a given host could be duplicated across multiple computers, each of which is connected to a different router or switch.

Alternatively, it is the unique anywhere-continuous function with these properties ( Rudin, 1976, chapter 8, exercise 6 ).

Alternatively, we could have defined to be the above function from the beginning, realized that is an isomorphism, and defined to be its inverse.

Alternatively, the maximum modulus principle can be viewed as a special case of the open mapping theorem, which states that a nonconstant holomorphic function maps open sets to open sets.

Alternatively, you may consider the subscript plus as an individual function with

Alternatively, if different criteria are combined by a weighted linear function, it is also possible to represent the problem in the weight space.

Alternatively, a fixed-length driveshaft can perform the function of a wishbone as long as the shape of the other wishbone provides control of the upright.

Alternatively, a full-rigged ship may be referred to by its function instead, as in collier or frigate, rather than being called a ship.

Alternatively, the first derivative of the asset's price function with respect to the interest rate, is matched with the liabilities.

Alternatively, the amino acid substitution could occur in a region of the protein which does not significantly affect the protein secondary structure or function.

Alternatively, the link resistance function may be included in the objective function ( and the total cost function eliminated from the constraints ).

Alternatively, anomalous perturbation is defined as an interaction with matter without the use of all known physical mechanisms.

Alternatively they can be organized by whether the raw stock is of natural, or synthetic origin, or by their starting physical phase.

Alternatively, the line is divided into three four-syllable sections by two caesuras.

Alternatively, for a single system at a well-defined temperature, it gives the probability that the system is in the specified state.

Alternatively, liquid chalk is sometimes used.

Alternatively a therm is used representing 100, 000 or 10 < sup > 5 </ sup > Btu, and a quad as 10 < sup > 15 </ sup > Btu.

Alternatively, these experiments provide an operational definition of what is meant by " absolute rotation ", and do not pretend to address the question of " rotation relative to what?

Alternatively, a manager of managers is often referred to as a " senior manager ' or as an " associate vice president ", depending upon levels of management, and industry type.

Alternatively, if a line is constructed perpendicularly between Alpha Centauri and Beta Centauri, the point where the above mentioned line and this line intersect marks the Southern Celestial Pole.

Alternatively, if using more than one or two techniques for every experiment is infeasible, some of the benefits of consilience may still be obtained if it is well-established that these techniques usually give the same result.

Alternatively, it is identified with the " tree of paradise " of medieval mystery plays that were given on 24 December, the commemoration and name day of Adam and Eve in various countries.

Alternatively, if positive pressures are required, standard glassware can not be used, energy must be used for pressurization and there is a higher chance of side reactions occurring in the distillation, such as decomposition, due to the higher temperatures required to effect boiling.

Alternatively, the more reflux that is provided for a given desired separation, the fewer the number of theoretical plates required.

Alternatively, each computer may have its own user with individual needs, and the purpose of the distributed system is to coordinate the use of shared resources or provide communication services to the users.

Alternatively entropy can be defined from a classical thermodynamics viewpoint, in which the molecular interactions are not considered and instead the system is viewed from perspective of the gross motion of very large masses of molecules and the behavior of individual molecules is averaged and obscured.

( Alternatively, Esperanto may be written with English-like digraphs in h rather than with diacritics, but this is seldom seen outside email.

Alternatively, it is possible to express an even-length real-input DFT as a complex DFT of half the length ( whose real and imaginary parts are the even / odd elements of the original real data ), followed by O ( N ) post-processing operations.

Alternatively, the liquid may flow through the filter by the force exerted by a pump, a method commonly used in industry when a reduced filtration time is important.

Alternatively, in Fenichel's words, " the superego is reprojected onto external objects for the purpose of getting rid of guilt feelings ... using external objects as " witnesses " in the fight against the superego.

Alternatively, additional information is necessary to complete the find, such as a padlock combination to access the cache.

Alternatively, the word " gematria " is generally held to derive from Greek geōmetriā, " geometry ", which was used as a translation of gēmaṭriyā, though some scholars believe it to derive from Greek grammateia, rather ; it's possible that both words had an influence on the formation of the Hebrew word.

Alternatively, it may refer only to what is common to the grammars of all, or of the vast majority of English speakers ( such as subject – verb – object word order in simple declarative sentences ).

* Elevation is the angular height of an object above the horizon, Alternatively zenith distance, being equal to 90 degrees minus elevation.