Alternatively, for those familiar with power series ( or Taylor series ), one may think of a formal power series as a power series in which we ignore questions of convergence by not assuming that the variable X denotes any numerical value ( not even an unknown value ).

Alternatively, a multiplying DAC takes a variable input voltage for their conversion.

Alternatively, a variable capacitor is used to tune the radio instead of the coil.

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, variable B could be collapsed out entirely, alternately sampling from p ( A | C ) and p ( C | A ) and not sampling over B at all.

Alternatively, a variant scoring system determines the winner via a point system — 1 point for a knock out, 2 points for a propaganda knock out, 3 points for a retaliation knock out, a variable number of points for position depending on number of players, and finally 2 points for surviving ( with the survivor not necessarily being the points winner ).

Alternatively, specification may state that the records are of variable length, along with the maximum record length.

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, for applications in which the computation of is the most costly step and both first and second derivatives must be computed, a more efficient formula for the last case is:

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 two blades can be separated if the vehicle must continue along the straight track.

Alternatively, a player who did place one or more own cards on the table may draw one card from the stock, or must otherwise yield to the next player right away.

Alternatively, one may observe that the size of the committee must be some number between 0 and n. For each possible size k, the number of ways in which a committee of k people can be formed from n people is the binomial coefficient

Alternatively, a crew finishing last in a division must race in the next-lower division the following day ( starting first ).

" Alternatively, conclusions can consist of merely 1 or 2 sentences, such as " For these reasons you must pass / fail this bill / resolution / legislation.

Alternatively, development of a package ( or component ) can be a separate process, but must be linked closely with the product to be packaged.

Alternatively, paper candidates might be used if the party is not seriously contesting the election but must run candidates so it can either get registered or stay registered for some other purpose.

Alternatively, they can choose to knock the ball backwards to a better placed ' kick ', remembering that the kick must play the ball down.

Alternatively, the existing dependency, along with all software that depends on it, must be uninstalled in order to install the new dependency.

Alternatively, passengers may walk around the terminal loop instead of riding AirTrain, which takes about 25 minutes by foot ; however, passengers must ride AirTrain to access the Rental Car Center.

Alternatively, skills or spells which must have a target may be dragged from the skill or spell pane onto the target and the skill or spell is used.

Alternatively, these equations for time dilation and length contraction ( here obtained from the invariance of the spacetime interval ), can be obtained directly from the Lorentz transformation by setting for time dilation, meaning that the clock is at rest in Bill's frame, or by setting for length contraction, meaning that John must measure the distances to the end points of the moving rod at the same time.

" Alternatively, it may be " with instructions " specifying, for example, that the lower court must use a different legal standard when considering facts already adduced at trial.

Alternatively, a field commander can submit a name for consideration, though permission must be obtained from the governor general before the award can be presented.

Alternatively, the N-terminal pro-sequence of proteases which must be cleaved prior to activation can be mutated to enable activation with enteropeptidase.

Alternatively, something representing the tertön's complementary energy, whether male or female, must be present.

Alternatively, metamaterials provide the theoretical possibility of making electromagnetic radiation appear to pass freely through the ' cloaked ' object.

Alternatively, the term " music director " used to appear in the film credits for a professional hired to supervise and direct the music selected for a film or music documentary, but today the more common designation is music supervisor.

Alternatively, an e-mail can be sent to the group's e-mail address and the message will appear on the General message board.

Alternatively, a feudal steel tilting helm garnished in gold, that may be shown affronté, may appear, or a helmet of some other degree if the baron holds a higher rank, such as a lordship of parliament.

Alternatively, the entire account of the guard and the chief priests can be discounted as likely to be an ahistorical addition written by Matthew to make the stolen body hypothesis appear implausible.

Alternatively, scenarios could be devised in which the character's godlike powers are constrained by some sort of code, or their respective antagonist.

Alternatively, these mountains are sometimes referred to by the respective directions, i. e., as the " Northern Great Mountain " ( 北嶽 / 北岳 Běi Yuè ), " Southern Great Mountain " ( 南嶽 / 南岳 Nán Yuè ), " Eastern Great Mountain " ( 東嶽 / 东岳 Dōng Yuè ), " Western Great Mountain " ( 西嶽 / 西岳 Xī Yuè ), and " Central Great Mountain " ( 中嶽 / 中岳 Zhōng Yuè ).

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, such devices as ion thrusters, while having a notably lower specific impulse, give a much better thrust-to-power ratio ; for photons, that ratio is, whereas for slow particles ( that is, nonrelativistic ; even the output from typical ion thrusters counts ) the ratio is, which is much larger ( since ).

Alternatively, in embedded systems, less code brings a lower product cost.

Alternatively, some colleges use financial criteria to attract racial groups that have typically been under-represented and typically have lower living conditions.

Alternatively, one can view the lower trace as the boundary for the region of the diagram in which liquids are in equilibrium, and the upper trace as the boundary of the region in which the vapor is in equilibrium.

The equable temperatures may reflect the presence of larger amounts of greenhouse gases than later in the Earth's history .< ref name = " Pavlov "> Alternatively, Earth's albedo may have been lower at the time, due to less land area and cloud cover.

Alternatively, getting to know strangers online and developing friendships with them may lower the quality of relationships with one ’ s friends.

Alternatively, heat may be supplied at ambient temperature and the heat sink maintained at a lower temperature by such means as cryogenic fluid ( see Liquid nitrogen economy ) or iced water.

Alternatively, games keep the amount of experience points per level constant, but progressively lower the experience gained for the same tasks as the character's level increases.

( Alternatively, he could elect to freelance on the lower grades of building work as a " Cowan ".

Alternatively, single-step purification using immobilized cobalt ions rather than nickel ions generally yields a substantial increase in purity and requires lower imidazole concentrations for elution of the his-tagged protein.

Alternatively, elastic targets such as rubber tires shot with lower power weapons can return the slug along the line of fire even when struck at an oblique angle.

Alternatively, the life-affirming native religion may have begun to lose its appeal among the lower classes as a burden of taxation and liturgic services instituted by the Roman emperors reduced the quality of life.

Alternatively, instead of a pump, a heavy tank can be used, and the pump forgone ; but the delta-v that the stage can achieve is often much lower due to the extra mass of the tankage reducing performance ; but for high altitude or vacuum use the tankage mass can be acceptable.

Alternatively, the aim may be to target ships carrying particularly valuable cargos such as treasure or munitions, and ships carrying less critical cargoes or steaming in ballast are assigned a lower priority.

Alternatively, there are various paths up the mountain from lower down the valley which offer the possibility of closer acquaintance with the crags of the north face.

Alternatively, genetic mosaicism could mean that the number of certain varieties of fig in an ecosystem may be far lower than biologists have previously thought, and given populations may not have enough trees to maintain their symbiotic relationship with their pollinating wasps.

Alternatively, some recipes call for the ravioli to be baked in an oven, rather than fried, for a lower calorie option or for those who wish to moderate their consumption of fried foods.

Alternatively the wavelengths can be used collectively through statistical multiplexing to provide efficient wavelength utilization and lower delays experienced by the ONUs.

Alternatively, Outdoor-Indoor Transmission Class ( OITC ) is a standard used for indicating the rate of transmission of sound between outdoor and indoor spaces in a structure that considers frequencies down to 80 Hz ( Aircraft / Rail / Truck traffic ) and is weighted more to lower frequencies.

Alternatively, it may be possible to fit 3 rounds in a model 70 conversion with the factory magazine box if the follower is replaced with one having a lower profile, or if the follower is milled to shorten it.