For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.

For example, the steering committee might announce that the group felt a topic under study should not be dropped for an additional week as there was still too much of it untouched.

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

For very large distances, cosmological redshift complicates the relation between absolute and apparent magnitude, and an additional k correction might be required.

For instance, if a user is designing a Microsoft Windows desktop application, he / she might use the. NET Windows Forms library to design the desktop application and call its APIs like Form1. Close () and Form1. Show () to close or open the application and write the additional operations him / herself that it need to have.

For walls, concrete masonry technology and Insulating Concrete Forms ( ICFs ) are additional options.

For example, the Union Cycliste Internationale, the governing body of international cycle sport ( which sanctions races such as the Tour de France ), decided in the late 1990s to create additional rules which prohibit racing bicycles weighing less than 6. 8 kilograms ( 14. 96 pounds ).

For additional information see Histone modifications in chromatin regulation and RNA polymerase control by chromatin structure

For years, Cordwainer Smith had a pocket notebook which he had filled with ideas about The Instrumentality and additional stories in the series.

For instance, a compression scheme for video may require expensive hardware for the video to be decompressed fast enough to be viewed as it is being decompressed, and the option to decompress the video in full before watching it may be inconvenient or require additional storage.

For example, extra costs, repair or replacement of damaged property, lost earnings ( both historically and in the future ), loss of irreplaceable items, additional domestic costs, and so on.

For instance, in the 55 Cancri system the first planet – 55 Cancri b – was discovered in 1996 ; two additional farther planets were simultaneously discovered in 2002 with the nearest to the star being named 55 Cancri c and the other 55 Cancri d ; a fourth planet was claimed ( its existence was later disputed ) in 2004 and named 55 Cancri e despite lying closer to the star than 55 Cancri b ; and the most recently discovered planet, in 2007, was named 55 Cancri f despite lying between 55 Cancri c and 55 Cancri d. As of April 2012 the highest letter in use is " j ", for the unconfirmed planet HD 10180 j ( HD 10180 h is the confirmed planet with the highest letter ).

For common soldiers who could not afford mail or plate armour, the gambeson, combined with a helmet as the only additional protection, remained a common sight on European battlefields during the entire Middle Ages, and its decline-paralleling that of plate armour-came only with the Renaissance, as the use of firearms became more widespread, until by the 18th century it was no longer in military use.

** For some verbs in some languages, the difference between perfective and imperfective conveys an additional meaning difference ; in such cases, the two aspects are typically translated using separate verbs in English.

For live shows in 2002 and 2004, Lee and his keyboard technician used the playback capabilities of the XV-5080 to generate virtually all of Rush's keyboard sounds to date, as well as additional complex sound passages that previously required several machines at once to produce.

For additional information about this period, see the History of Roman Catholicism in Spain.

For example, until the Tannaitic period ( approximately 10 – 220 CE ) the months were set by observation of a new crescent moon, with an additional month added every two or three years to correct for the difference between twelve lunar months and the solar year, and therefore, to keep Passover in the spring.

For example, pharmaceutical companies that produce, apply intellectual property rights in order to prevent other companies from manufacturing their product without the additional cost of research and development.

For simple systems, where the interrupts were not used, it is possible to find cases where this pin is used as an additional single-bit output port ( the popular Radio86RK computer made in the former Soviet Union, for instance ).

For the Roman Catholic Church the dogma of the Immaculate Conception gained additional significance from the reputed apparitions of Our Lady of Lourdes in 1858.

" For his failing to tell students they had the option not to participate in his studies without incurring additional work, the university barred Rushton for two years from using students as research subjects.

: For additional examples, see: Orders of magnitude ( energy )

For example, though a high speed impact with the surface of a planet or star may cause no harm to the hull, the occupants will be crushed if they are not protected by additional measures such as a stasis field or a gravity compensating field.

For commercial use, several paid editions are available, and offer additional functionality.

For molecules that possess a center of inversion ( centrosymmetric molecules ) there are additional labels of symmetry that can be applied to molecular orbitals.

For example, fibers for clothing, wood for shelter and warmth.

For example, women consistently report higher Neuroticism, Agreeableness, warmth ( an extraversion facet ) and openness to feelings, and men often report higher assertiveness ( a facet of extraversion ) and openness to ideas as assessed by the NEO-PI-R.

For example, the technology of central heating means that warmth is readily available.

For a brief period each year, the rays of the sun are warm enough to melt some of the snows piled a mile deep at the base of the headwalls, and then the pinnacles glisten in the daytime at high noon, and billions of gallons of water begin their slow seepage under the glaciers and across the rockstrewn hanging valleys on their long, meandering journey to the sea -- running east past the sky-carving massifs of Gurla Mandhata and Kemchenjunga, then turning south and curling down through the jungles of Assam, past the Khasi Hills, and into Bengal, past Sirinjani and Madaripur, until the hard water of the melting snows mingles with the soft drainage of fields and at length fans out to meld with the teeming salt depths of the Bay of Bengal.

For Mr. Taylor's Images And Reflections she made some diaphanous tents that alternately hide and reveal the performer, and a girl's cape lined with grass.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For some happy reason Doric, Ionic, and Corinthian have always stuck in my mind.

For some reason, none of them were impressed with the territorial capital.

For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.

For here if anywhere in contemporary literature is a major effort to counterbalance Existentialism and restore some of its former lustre to the tarnished image of the species Man, or, as Malraux himself puts it, `` to make men conscious of the grandeur they ignore in themselves ''.

For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.

For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.

For some compulsive reason which would have fascinated Dr. Freud, Communists of all shapes and sizes almost invariably impute to others the very motives which they harbor themselves.

For added comfort some of the Italian designed sandals have foam padded cushioning.

For a moment she thought of answering with the truth but she knew there were men who shied away from virginity, who demanded some degree of education in body as well as mind.

For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.

For some time this writer has been suggesting a Junior Judging Class for Intermediates over 16 and under 20 years of age who are ineligible to compete in the Junior Class.

For some unusual photographic subjects, if your vacation takes you nearby, try these events: the 600-mile auto race in Charlotte, N.C.,, on May 27 ; ;

For some significant new items see the pictures.

For those who plan to travel to Europe by one route and return by another some agencies offer a service whereby you can pick up a car in one city on arrival and leave it in another city, or even another country, when you are ready to return home.

For vector spaces over non-algebraically closed fields, we still need to find some substitute for characteristic values and vectors.

For some forms of philosophy, this very division between the empirical and the rational becomes a sign of the metaphysical superiority of the latter.

For some substances, auxiliary properties such as the melting point are given.

For some retired persons, part-time farming is a good way to supplement retirement income.

For some white-collar workers it is a welcome change from the regular job, and a physical conditioner.

For larger plantings, you'll need some kind of power for plowing, harrowing, disking, and cultivating.