Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron ( i. e. orbitals ) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule.

Alternatively, a unique position on the board on which a game piece may be located while in play.

Alternatively, if the boards are pre-dealt, " curtain cards " may be supplied which have each hand printed on them, so that each player can check at the beginning of the deal that he has the right cards.

" Alternatively, they might be folded to make small cheap books or " chapbooks " which often drew on ballad stories.

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, the method can be used to value the company based on the value of total invested capital.

Alternatively, two figures are congruent if one can be moved on top of the other so that it matches up with it exactly.

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, MacKaye stated that he did not " check out " on hardcore, but in fact hardcore " checked out ".

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, the name may derive from the verb na · ṣar, נ ָ צ ַ ר, " watch, guard, keep ," and understood either in the sense of " watchtower " or " guard place ", implying the early town was perched on or near the brow of the hill, or, in the passive sense as ' preserved, protected ' in reference to its secluded position.

Alternatively, a railway, or a combined railway and oil pipeline, could be built to link ports on the Atlantic and Pacific coasts.

Alternatively, the Task Force may review and amend the 2005 conclusions to make them consistent with legal and historical precedent, and therefore allow future status developments based on a binding compact.

Alternatively, they may have used stored yolk products for nourishment during their first few days of life, as in modern reptiles, rather than depend on parents for food.

Alternatively, the area element on the sphere is given in spherical coordinates by.

Alternatively, the transistor can be used to turn current on or off in a circuit as an electrically controlled switch, where the amount of current is determined by other circuit elements.

Alternatively, the chain of reasoning may loop around on itself, forming a circle.

Alternatively, accounts by Carminantonio Iannaccone ( as a researched and written about by The Washington Post ) establish the creation of tiramisu by him on 24 December 1969 in Via Sottotreviso while he was head chef at Treviso, near Venice.

Alternatively it has been suggested that the star could be in a low-activity state analogous to a Maunder minimum — a historical period, associated with the Little Ice Age in Europe, when sunspots became exceedingly rare on the Sun's surface.

Alternatively, if a predatory ancestor already flying and therefore with long forelimbs, used them to capture prey, it could be pulled on to a predatory foot claw, later inherited and demonstrated by the fighting Velociraptor.

Alternatively, the setter moves into the right front and has both a middle and an outside attacker ; the disadvantage here lies in the lack of an offside hitter, allowing one of the other team's blockers to " cheat in " on a middle block.

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, gdbserver can be used to remotely debug the program without needing to change it in any way.

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 in some cases the vendor refuses to provide services in future which leaves purchased material only usable on the present-and increasingly obsolete-hardware ( so long as it lasts ) but not on any hardware that may be purchased in future.

Alternatively, it is possible to show that any bridgeless bipartite planar graph with n vertices and m edges has by combining the Euler formula ( where f is the number of faces of a planar embedding ) with the observation that the number of faces is at most half the number of edges ( because each face has at least four edges and each edge belongs to exactly two faces ).

Alternatively, if the facticity of the social world and the structures of consciousness prove to be culturally and historically relative, then we are at an impasse in regard to any meaningful scientific understanding of the social world which is not subjective ( as opposed to being objective and grounded in nature, or inter subjective and grounded in the structures of consciousness ), and relative to the cultural and idealization formations of particular concrete individuals living in a particular socio-historical group.

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, an analytic function is an infinitely differentiable function such that the Taylor series at any point x < sub > 0 </ sub > in its domain

Alternatively, viaticum can refer to an ancient Roman provision or allowance for traveling, originally of transportation and supplies, later of money, made to officials on public missions ; mostly simply, the word indicates money or necessities for any journey.

Alternatively, only a slightly inset floor topped by a fibrous mesh and concrete building composite floor cladding is used for smaller high quality tile floors — these ' concrete ' subfloors have a good thermal match with ceramic tiles and so are popular with builders constructing kitchen, laundry and especially both common and high end bathrooms and any other room where large expanses of well supported ceramic tile will be used as a finished floor.

Alternatively her canonisation might have been intended to counter any such pejorative connotations, especially if her story was fictitious, as many authorities think possible, including the Roman Catholic Church since 1969 ( for details of these doubts, see under Saint Barbara ).

Alternatively there is an emerging class of software which can localize an application without altering the underlying code in any way Modern development systems and operating systems include sophisticated libraries for international support of these types.

" Alternatively the term has been given the meaning " I'm so poor, I can't afford any salt meat for the beans.

Alternatively, one can finish any bachelor degree, and providing their academic results are high, apply for graduate-entry into a 3-year LLB program.

Alternatively, they can elect to subtract the standard deduction for their filing status ( and any applicable personal exemption deduction ) to arrive at their taxable income.

* Alternatively, the Meteor can be fired without using mid-course update, allowing the Rafale to immediately turn away to deny the enemy aircraft any firing possibility.

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, the Oral cancers may originate in any of the tissues of the mouth, and may be of varied histologic types: teratoma, adenocarcinoma derived from a major or minor salivary gland, lymphoma from tonsillar or other lymphoid tissue, or melanoma from the pigment-producing cells of the oral mucosa.

Alternatively, one can argue that every short exact sequence of k-vector spaces splits, and any additive functor turns split sequences into split sequences.

Alternatively, in software engineering an orange box is any mechanism that records the sequence of events leading to a crash, probably by analogy to the flight data recorder ( FDR ) in airplanes, which is typically housed in an orange box ( to ensure visibility in the wreckage after a crash ).

Alternatively they might be offered any necessary money or goods to tide them over until the next meeting of the guardians, who would decide on the appropriate level of support and whether or not the applicants should be assigned to the workhouse.

Alternatively, a magnetic String pickup can be installed under an acoustic violin's fingerboard avoiding interference with any tone-producing parts of the violin, and so keeping its acoustic resonances and tone intact without feedback problems.