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Page "Integer factorization" ¶ 11
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For and ordinary
For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;
For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.
These false Christs will perform great signs and are no ordinary people " For they are spirits of demons, performing signs, which go out to the kings of the earth and of the whole world, to gather them to the battle of that great day of God Almighty.
For ordinary persons, married life is undoubtedly advisable unless they have a special aptitude for celibacy ".
( For example, " tiānqì ", literally " sky breath ", is the ordinary Chinese word for " weather ").
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 the ordinary citizen though, especially in rural areas, often the only options are to cycle, walk or go by dugout canoe.
For lower frequencies of EMR up to those of visible light ( i. e., radio, microwave, infrared ), the damage done to cells and also to many ordinary materials under such conditions is determined mainly by heating effects, and thus by the radiation power.
For example, if is uncorrelated with years of education, then the equation can be estimated with ordinary least squares.
In the words of Nobel Prize winner Robert E. Lucas, Jr., " For the first time in history, the living standards of the masses of ordinary people have begun to undergo sustained growth ...
In the words of Nobel Prize winner Robert E. Lucas, Jr., " For the first time in history, the living standards of the masses of ordinary people have begun to undergo sustained growth ...
For example, the statements " I find that class of person very annoying " and " Birds fall into a different class from bees " might be said to contain ordinary English uses of class.
For languages whose writing systems employ the phonemic principle, ordinary letters may be used to denote phonemes, although this approach is often hampered by the complexity of the relationship between orthography and pronunciation ( see Correspondence between letters and phonemes below ).
For one-dimensional simple harmonic motion, the equation of motion, which is a second-order linear ordinary differential equation with constant coefficients, could be obtained by means of Newton's second law and Hooke's law.
For example the axiom of choice implies that when the size under consideration is the ordinary notion of length for subsets of the real line, then there exist sets for which no size exists, for example, the Vitali sets.
For example, if a spectator at an ice hockey match is injured when a player strikes the puck in the ordinary course of play, causing it to fly out of the rink and hit him or her, this is a foreseeable event and spectators are assumed to accept that risk of injury when buying a ticket.
For water, however, this is not true because the melting point of ordinary ice decreases as a function of pressure, as shown by the dotted green line in the phase diagram.
For example, the triple point at 251 K (− 22 ° C ) and 210 MPa ( 2070 atm ) corresponds to the conditions for the coexistence of ice Ih ( ordinary ice ), ice III and liquid water, all at equilibrium.
( For the plural, one can either follow ordinary English practice and add an s, or use an invariable plural as in the Japanese.
( For ordinary bradyonic matter, E increases with increasing speed, becoming arbitrarily large as v approaches c, the speed of light ).
For example deuterium has twice the mass of ordinary ( light ) hydrogen and it is generally easier to purify it than to separate uranium-235 from the more common uranium-238.
For example, if a telecommunications service provider decides to offer different qualities of voice connection, then a premium voice connection will require a better connection quality compared to an ordinary voice connection.
For the second class, subjects were to be chosen from ordinary life ... In this idea originated the plan of the ' Lyrical Ballads '; in which it was agreed, that my endeavours should be directed to persons and characters supernatural, or at least Romantic ; yet so as to transfer from our inward nature a human interest and a semblance of truth sufficient to procure for these shadows of imagination that willing suspension of disbelief for the moment, which constitutes poetic faith.
" For Herbert, the ordinary person can develop incredible fighting skills ( Fremen and Sardaukar ) or mental abilities ( Bene Gesserit and Mentats ).

For and computer
For this step the computer memory is separated into three regions: cells in the W-region are used for storage of the forms in the text-form list ; ;
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.
* Antwerp ( Quest For Glory ), a monster in the Quest for Glory computer role-playing game series
For example, compositing is used extensively when combining computer rendered image elements with live footage.
For example, when a user logs into a computer that is part of a Windows domain, Active Directory checks the submitted password and determines whether the user is a system administrator or normal user.
For distinction between units of computer storage and bases kbp, Mbp, Gbp, etc.
For example a B205 console was often shown in the television series Batman as the Bat Computer ; also as the computer in Lost in Space.
For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.
For example, programming language theory considers various approaches to the description of computation, whilst the study of computer programming itself investigates various aspects of the use of programming language and complex systems.
For instance, it seemed to be unrealistic to comprehensively list human knowledge in a form usable by a symbolic computer program.
For a narrative explaining the overall developments, see the related history of computing hardware and history of computer science.
For 3D animations, objects ( models ) are built on the computer monitor ( modeled ) and 3D figures are rigged with a virtual skeleton.
For example, a payroll file might contain information concerning all the employees in a company and their payroll details ; each record in the payroll file concerns just one employee, and all the records have the common trait of being related to payroll — this is very similar to placing all payroll information into a specific filing cabinet in an office that does not have a computer.
For example, CP / M used a command syntax similar to RT-11's, and even retained the awkward PIP program used to copy data from one computer device to another.
For example, there is P2P ( peer-to-peer ) Internet television software that can be used to watch TV on a computer.
For example, if the authoritative name server for < tt > example. org </ tt > is < tt > ns1. example. org </ tt >, a computer trying to resolve < tt > www. example. org </ tt > first resolves < tt > ns1. example. org </ tt >.
For example, it may be more cost-efficient to obtain the desired level of performance by using a cluster of several low-end computers, in comparison with a single high-end computer.
: For computer network models, see network topology, packet generation model and channel model.
For example, the Kothmale Community Radio Internet uses both radio broadcasts and computer and Internet technologies to facilitate the sharing of information and provide educational opportunities in a rural community in Sri Lanka.
For example, the computer baseball games Earl Weaver Baseball and Tony La Russa Baseball each had highly detailed simulations of the game strategies of those two baseball managers.
For example, a popular software program, Adobe Acrobat, can be used to create content for most computer platforms, under various operating systems.
For example, one version said that if an infected computer contained a hard drive, it could be destroyed.
For example, take the following comparison of execution time of computer programs:
For computer savvy do-it-yourself hobbyists CNC ( Computer Numerical Control ) machining is also popular.
For a computing machine to be a practical general-purpose computer, there must be some convenient read-write mechanism, punched tape, for example.

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