When the original stories were related ( e. g. The War against the Rull ) this was often successful.

When not ( e. g. Quest for the Future ) the disparate stories thrown together generally made for a less coherent plot.

: When comparing the above illustration to the below text, please note that the above x: y aspect ratio values are shown as vertical orientation rectangles to better demonstrate visual differences, whereas the aspect ratio values of the text below are written as rotated horizontal orientation rectangles ( e. g. compare 3: 4 vertical orientation illustration to 4: 3 horizontal orientation text ).

When he discovered that the original Desiree, Glynis Johns, was able to sing ( she had a " small, silvery voice ") but could not " sustain a phrase ", he devised the song " Send in the Clowns " for her in a way that would work around her vocal weakness, e. g., by ending lines with consonants that made for a short cut-off.

When a player decides to double the opponent, the value is then a double of whatever face value is shown ( e. g. if two automatic doubles have occurred putting the cube up to 4, the first in-game double will be for 8 points ).

When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.

When heavy metals or radionuclides form their own pure colloids, the term " Eigencolloid " is used to designate pure phases, e. g., Tc ( OH )< sub > 4 </ sub >, U ( OH )< sub > 4 </ sub >, Am ( OH )< sub > 3 </ sub >.

When g oscillates near a, then it might happen that no matter how close one gets to a, there is always an even closer x such that g ( x ) equals g ( a ).

When scientists transfer a gene from one cell into another cell in order to express the new genetic material as a protein in the recipient cell, the cDNA will be added to the recipient ( rather than the entire gene ), because the DNA for an entire gene may include DNA that does not code for the protein or that interrupts the coding sequence of the protein ( e. g., introns ).

When appropriate, the second line may begin with a ' form ' number — e. g., 1 stands for history and criticism of a subject, 2 for a bibliography, 5 for a dictionary, 6 for an atlas or maps, 7 for a periodical, 8 for a society or university publication, 9 for a collection of works by different authors.

When a binary mixture is evaporated and the other component, e. g. a salt, has zero partial pressure for practical purposes, the process is simpler and is called evaporation in engineering.

When the “ same picture ” is taken in two different format sizes from the same distance at the same f-number with lenses that give the same angle of view, and the final images ( e. g., in prints, or on a projection screen or electronic display ) are the same size,

When this state is needed, i. e., when it is decided by a database administrator to bring the database back to this state ( e. g., by specifying this state by a desired point in time when the database was in this state ), these files are utilized to restore that state.

When the body is expending more energy than it is consuming ( e. g. when exercising ), the body's cells rely on internally stored energy sources, such as complex carbohydrates and fats, for energy.

When applied to Sanskrit, however, it added a great deal of complexity to the script, due to the large variety of clusters in this language ( up to five consonants, e. g. rtsny ).

When a coefficient is one, it is usually omitted ( e. g. is written ).

When the exponent is zero, the result is always 1 ( e. g. is always rewritten to ).

When the proper load ( e. g., an inductive-capacitive filter plus a load resistor ) is used, two things happen.

When the boot loader detected a CP / M floppy, the Aster would reconfigure its internal memory architecture on the fly to optimally support CP / M with 60 KB free RAM for programs ( TPA ) and an 80 x 25 display.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When α is an integer, the Bessel functions J are entire functions of x.

When the functions J < sub > n </ sub >( x ) are plotted on the same graph, though, none of the zeros seem to coincide for different values of n except for the zero at x = 0.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When a switch is pressed, it connects the corresponding x and y lines together.

When b is zero and A ≠ 0 the origin is an equilibrium ( or singular ) point of the flow, that is, if x < sub > 0 </ sub > = 0, then the orbit remains there.

When the eigenvalues of J are not in the unit circle, the dynamics near the fixed point x < sub > 0 </ sub > of F is called hyperbolic and when the eigenvalues are on the unit circle and complex, the dynamics is called elliptic.

When dealing with three or fewer variables, it is common to replace x < sub > 1 </ sub > with just x, x < sub > 2 </ sub > with y, and x < sub > 3 </ sub > with z, as appropriate.

When this is the case, and x < sub > 0 </ sub > is one solution of ( 1 ), then the set of all solutions is given by

When Mach was first being seriously used in the 2. x versions, performance was slower than traditional monolithic operating systems, perhaps as much as 25 %.

A number a is a root of P if and only if the polynomial x − a ( of degree one in x ) divides P. It may happen that x − a divides P more than once: if ( x − a )< sup > 2 </ sup > divides P then a is called a multiple root of P, and otherwise a is called a simple root of P. If P is a nonzero polynomial, there is a highest power m such that ( x − a )< sup > m </ sup > divides P, which is called the multiplicity of the root a in P. When P is the zero polynomial, the corresponding polynomial equation is trivial, and this case is usually excluded when considering roots: with the above definitions every number would be a root of the zero polynomial, with undefined ( or infinite ) multiplicity.

When there are many different groups within a nation, citizenship may be the only real bond which unites everybody as equals without discrimination — it is a " broad bond " linking " a person with the state " and gives people a universal identity as a legal member of a specific nation.

When the frequency of the strobe equals the frequency of the rotating or vibrating object, the object completes one cycle of oscillation and returns to its original position between the flashes of light, so when illuminated by the strobe the object appears stationary.

If E < sub > i </ sub > is applied to the inverting input, the circuit is an inverting positive-level detector: When E < sub > i </ sub > is above V < sub > ref </ sub >, V < sub > O </ sub > equals − V < sub > sat </ sub >.

When a wave strikes a reflective surface, it changes direction, such that the angle made by the incident wave and line normal to the surface equals the angle made by the reflected wave and the same normal line.

When Benjamin Disraeli, future British Prime Minister, visited the city in 1830, he described it as " a city of palaces built by gentlemen for gentlemen ," and remarked that " Valletta equals in its noble architecture, if it does not excel, any capital in Europe ," and in other letters called it " comparable to Venice and Cádiz " and " full of palaces worthy of Palladio.

When Hồ died on 2 September 1969, the collective leadership he had espoused continued, but Lê became its first amongst equals.

When E < sub > R </ sub > equals E < sub > L </ sub > ( when there is no difference in the absorbance of right-and left-circular polarized light ), θ is 0 ° and the light is linearly polarized.

When the exponential equals 1, and the value of describes the Fermi level as a state with 50 % chance of being occupied by an electron for the given temperature of the solid.

When the intersection is internal, the equality states that the product of the segment lengths into which X divides one diagonal equals that of the other diagonal.

When we rehearsed I could see that the musicians didn't like it at all and in the break the side drum player ( who starts the movement with a solo ) came to me and said " Maestro, my part is marked crotchet equals 94 ", which I thought must be a mistake, since none of the other parts have a tempo marking.

When a system changes from a well-defined initial state to a well-defined final state, the Gibbs free energy ΔG equals the work exchanged by the system with its surroundings, minus the work of the pressure forces, during a reversible transformation of the system from the same initial state to the same final state.

When DNA is extracted from these cells and centrifuged on a salt density gradient, the DNA separates out at the point at which its density equals that of the salt solution.

When the buoyant force equals 1 ton, it will sink no farther.

* When points are counted at the end of the round, the winning bidder adds their point total only if it equals or beats their bid.

Imam al-Hadi said that it was impossible to see Him, because, " When the seer equals the seen thing in the cause of sight between them, sight takes place, but those who compare between the seer ( man ) and Allah they are mistaken because they have liken Allah to man ..." Essentially, to say that you can see God is to say that you have the same qualities as God, which, in this case, is the ability to be seen.

When describing base in mathematical notation, the letter b is generally used as a symbol for this concept, so, for a binary system, b equals 2.

When average cost is neither rising nor falling ( at a minimum or maximum ), marginal cost equals average cost.

When X < sub > L </ sub > equals X < sub > C </ sub >, the reactive branch currents are equal and opposite.

When the numerator of the log term equals the denominator (), then the ratio goes to 1 and the log term goes to zero.

When finding strain for MSMA the total strain equals the sum of the parts:

* When solute particles neither dissociate nor associate in solution, equals 1.