For, with a single exception, nothing had happened to them.

For the purposes of setting the product price, the industry behaves as a single entity.

For a single stage we may define Af where the maximization is by choice of Af.

For new galaxies to be created, Professor Bondi declares, it would only be necessary for a single hydrogen atom to be created in an area the size of your living room once every few million years.

For general computer use access technology such as screen readers, screen magnifiers and refreshable Braille displays has been widely taken up along with standalone reading aids that integrate a scanner, optical character recognition ( OCR ) software, and speech software in a single machine.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

For example, if a single photon strikes the electrons, only a single electron changes states in response to the photon.

For example, the allotropes of carbon include diamond ( where the carbon atoms are bonded together in a tetrahedral lattice arrangement ), graphite ( where the carbon atoms are bonded together in sheets of a hexagonal lattice ), graphene ( single sheets of graphite ), and fullerenes ( where the carbon atoms are bonded together in spherical, tubular, or ellipsoidal formations ).

For some applications, a single alpha channel is not sufficient: a stained-glass window, for instance, requires a separate transparency channel for each RGB channel to model the red transparency, green transparency, and blue transparency.

For example, if the numbers involved in a computation may be arbitrarily large, the time required by a single addition can no longer be assumed to be constant.

For example, if a program needs 20 hours using a single processor core, and a particular portion of 1 hour cannot be parallelized, while the remaining promising portion of 19 hours ( 95 %) can be parallelized, then regardless of how many processors we devote to a parallelized execution of this program, the minimum execution time cannot be less than that critical 1 hour.

For example if a runner on first base reached third base on a single, it would count as a steal.

For example, the three-domain system separates Archaea and Bacteria, previously grouped into the single kingdom Monera ( bacteria ).

For case of single stranded DNA / RNA units of nucleotides are used, abbreviated nt ( or knt, Mnt, Gnt ), as they are not paired.

For example, an IBM PC might have either a monochrome or a color display adapter ( using different display memory addresses and hardware ), but a single, standard, BIOS system call may be invoked to display a character at a specified position on the screen in text mode.

For a single year in 1949, the team performed in an all-yellow scheme with blue markings.

For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that you get the original amount wagered back.

For example, he or she cannot veto the legislative budget, and thus Congress is sovereign over the year's single most important piece of legislation.

For example, carbon can be found as diamond, which has a tetrahedral structure around each carbon atom ; graphite, which has layers of carbon atoms with a hexagonal structure stacked on top of each other ; graphene, which is a single layer of graphite that is incredibly strong ; fullerenes, which have nearly spherical shapes ; and carbon nanotubes, which are tubes with a hexagonal structure ( even these may differ from each other in electrical properties ).

For him, celibacy is the single life, free from such distraction, not a life of saintly denial.

For F that are universal, such a p can generally be seen both as the concatenation of a program part and a data part, and as a single program for the function F.

For example up to 200, 000 different small molecules might be made in plants, although not all these will be present in the same species, or in a single cell.

For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.

For outdoor signs and displays, where the problem of weathering resistance is no longer a factor, the choice of plastics is almost unlimited.

For the lockless Suez Canal the limiting factor for Suezmax ships is generally draft, which is limited to.

For example, when an ordinary RGB digital image is compressed via the JPEG standard, the RGB colorspace is first converted ( by a rotation matrix ) to a YCbCr colorspace, because the three components in that space have less correlation redundancy and because the chrominance components can then be subsampled by a factor of 2 or 4 to further compress the image.

For this reason, he suggested introducing the METI factor ( Messaging to Extra-Terrestrial Intelligence ) to the classical Drake Equation.

For example, scientific uncertainty fuels the ongoing debate over greenhouse gas regulation and is a major factor in the debate over whether to ban pesticides.

For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).

For if k, m, and n are integers, and k is a common factor of two integers A and B, then A = nk and B = mk implies A − B = ( n − m ) k, therefore k is also a common factor of the difference.

The GCD of two numbers a and b is the product of the prime factors shared by the two numbers, where a same prime factor can be used multiple times, but only as long as the product of these factors divides both a and b. For example, since 1386 can be factored into 2 × 3 × 3 × 7 × 11, and 3213 can be factored into 3 × 3 × 3 × 7 × 17, the greatest common divisor of 1386 and 3213 equals 63 = 3 × 3 × 7, the product of their shared prime factors.

For example, in the Austrian view — often shared by neoclassical and other " free market " economists — the primary factor of production is the time of the entrepreneur, which, when combined with other factors, determines the amount of output of a particular good or service.

For example, a Hall sensor integrated into a ferrite ring ( as shown ) can reduce the detection of stray fields by a factor of 100 or better ( as the external magnetic fields cancel across the ring, giving no residual magnetic flux ).

For example, the gene encoding Insulin-like growth factor 2 ( IGF2 / Igf2 ) is only expressed from the allele inherited from the father.

For example, if N is the number ( 2 < sup > 521 </ sup > − 1 ) × ( 2 < sup > 607 </ sup > − 1 ), then trial division will quickly factor 10N as 2 × 5 × N, but will not quickly factor N into its factors.

In 1991 he was awarded the Balzan Prize for Genetics and Evolution " For his powerful analysis of evolutionary theory and of the role of sexual reproduction as a critical factor in evolution and in the survival of species ; for his mathematical models applying the theory of games to evolutionary problems " ( motivation of the Balzan General Prize Committee ).

For some the appointment of Peter des Roches as justiciar was an important factor, as he was considered an " abrasive foreigner " by many of the barons.

For instance, a conviction arising from a nolo contendere plea is subject to any and all penalties, fines, and forfeitures of a conviction from a guilty plea in the same case, and can be considered as an aggravating factor in future criminal actions.

For example, it is not considered perjury to lie about one's age unless age is a factor in determining the legal result, such as eligibility for old age retirement benefits.

The number required to factor integers using Shor's algorithm is still polynomial, and thought to be between L and L < sup > 2 </ sup >, where L is the number of bits in the number to be factored ; error correction algorithms would inflate this figure by an additional factor of L. For a 1000-bit number, this implies a need for about 10 < sup > 4 </ sup > qubits without error correction.

For moderate volumes of values, insertions and deletions in a colored binary tree are faster compared to B-trees because colored trees don't attempt to maximize the fill factor of each horizontal cluster of nodes ( only the minimum fill factor is guaranteed in colored binary trees, limiting the number of splits or junctions of clusters ).

For example, the transcription factor FEV ( aka Pet1 ) has been shown, through its role in maintaining the serotonergic system in the brain, to be required for normal aggressive and anxiety-like behavior.

For example, if rotational speed ( revolutions per time ) is used in place of angular speed ( radians per time ), we multiply by a factor of 2π radians per revolution.