Alternatively, if characters ' attribute ranks are close, the weaker character can try to change the relevant attribute by changing the nature of the conflict.

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, 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 Bishop Cellach was appointed by Giric, it may be that the gathering was intended to heal a rift between king and church.

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

Alternatively, 5 ml from a neutron star of radius 20 km radius ( average density ) has a mass of about 400 million metric tons, or about the mass of all humans .</ ref > The resulting force of gravity is so strong that if an object were to fall from a height of one meter it would only take one microsecond to hit the surface of the neutron star, and would do so at around 2000 kilometers per second, or 7. 2 million kilometers per hour.

Alternatively, if the two waves of the same wavelength and frequency are out of phase, then the wave crests will align with wave troughs and vice-versa.

Alternatively, if the last step is carried out in air:

( Alternatively, for a preorder "", a relation "<" can be defined as a < b if and only if ( a b and a ≠ b ).

Alternatively, if several different minerals can be dated from the same sample and are assumed to be formed by the same event and were in equilibrium with the reservoir when they formed, they should form an isochron.

Alternatively, if M is a linear subspace then ; apply this inequality to the subspace defined by the ( orthogonal ) complement of the image of BC in the image of B, whose dimension is ; its image under A has dimension

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, since expendable multistage rockets entail discarding costly structure and engines, if the stages could be reused, this could permit much cheaper operation since the parts costs would be amortized over many flights.

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, if,, and are known, but is not adjustable, the voltage difference across or current flow through the meter can be used to calculate the value of, using Kirchhoff's circuit laws ( also known as Kirchhoff's rules ).

Alternatively, if we want to have reasonable discussion we may be practically forced to accept Occam's razor in the same way we are simply forced to accept the laws of thought and inductive reasoning ( given the problem of induction ).

Alternatively, if the magma is erupted it forms volcanic rocks such as basalt, andesite and rhyolite ( the extrusive equivalents of gabbro, diorite and granite, respectively ).

Alternatively, if a strip with an even number of half-twists is cut in half along its length, it will result in two linked strips, each with the same number of twists as the original.

Alternatively, if the data matches the machine address, the data is accepted.

Alternatively, some agree that negative rights may be violated by a government action, but argue that it is justifiable if the positive rights protected outweigh the negative rights lost.

Alternatively, if is discrete, one can construct as the set of all ultrafilters on, with a topology known as Stone topology.

Alternatively, lunar space elevators might be employed.

Alternatively put, the distance covered in free space by the same number of waves as are in the transmission medium will be greater, hence the transmission medium is said to have an electrical length greater than its physical length.

Alternatively, clerestories can be used to admit diffuse daylight ( from the north in the northern hemisphere ) that evenly illuminates a space such as a classroom or office.

Alternatively we can say they occupy different, lower-dimensional subspaces in the phase space of the joint system.

Alternatively, if one would like to preserve the notion of eigenstates and make it rigorous, rather than merely formal, one can replace the state space by a suitable rigged Hilbert space.

Alternatively, the Master may designate two halves of the playing space as " white " and " black " and move each koan to the appropriate side.

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

Alternatively, these representations can be defined on the K-vector space W of all functions.

Alternatively, the porch may be sealed from the rest of the walkway to serve as personal space.

Alternatively they can be defined as a vector space with a family of seminorms, and a topology can be defined in terms of that family.

( Alternatively, Euclidean space is a principal homogeneous space or torsor under the group of translations, which is a subgroup of the affine group.

Alternatively, postgraduate diplomas allow a graduate student to study a new academic subject at degree level, but in a short space of time.

Alternatively, according to a paper presented at the 55th International Astronautical Congress in Vancouver in October 2004, the space elevator can be considered a prestige megaproject and the current estimated cost of building it ( US $ 6. 2 billion ) is rather favourable when compared to the costs of constructing bridges, pipelines, tunnels, tall towers, high speed rail links, maglevs and the like.

Alternatively, another mineral may fill the space ( the mold ) previously occupied by some other mineral or material.

Alternatively, that they are all equivalent to the Weyl algebra ( or CCR algebra ) on a symplectic space of dimension 2n.

Alternatively, the action of a group G on a complex vector space V

Alternatively, the very threat of space warfare may be enough to put considerable pressure on the political system of a nation, such as the pressure which caused the formation of the Outer Space Treaty.

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

Alternatively, Howard W. Jaffe interprets the polyhedral forms in Stars crystallographically, as " brilliantly faceted jewels " floating through space, with its compound polyhedra representing crystal twinning.

Alternatively, a loft apartment refers to large adaptable open space, often converted for residential use ( a converted loft ) from some other use, often light industrial.

Alternatively, the comet may have originated from interstellar space rather than from the Oort cloud.

Alternatively, we can assume space is a very large three sphere S < sup > 3 </ sup > or that space is a compact 3-ball B < sup > 3 </ sup > with a S < sup > 2 </ sup > boundary where the values of the fields are fixed so that the gauge transformations occur only in the interior of the ball.