For several weeks we eyed one another almost like sparring partners, and then one day Uncle was slightly indisposed and stayed home ; ;

For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.

For better or worse we cannot regard `` imitation '' in the arts in the simple mode of classical rationalism or detached realism.

For answers to such questions we must turn to the anthropologists, the biologists, the historians, the psychologists, and the sociologists.

For what we propose, however, a psychoanalyst is not necessary, even though one aim is to enable the reader to get beneath his own defenses -- his defenses of himself to himself.

William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

For this purpose we now draw upon data from sociological and psychological studies of students in American colleges and universities, and particularly from the Cornell Values Studies.

For this concept of an Advisory Board, ancillary to the Board of Trustees, we are indebted to the late President of Harvard University, A. Lawrence Lowell, a master of the subject of the structure of cultural institutions and their administration.

For example, when the film is only four minutes old, Neitzbohr refers to a small, Victorian piano stool as `` Wilhelmina '', and we are thereupon subjected to a flashback that informs us that this very piano stool was once used by an epileptic governess whose name, of course, was Doris ( the English equivalent, when passed through middle-Gaelic derivations, of Wilhelmina ).

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

For the marksman, we study sets of five shots ( Af ) ; ;

For example, we are interested in the number of bull's-eyes, not which shots were bull's-eyes.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

For purposes of sample selection only ( individual tests were given later ) we obtained group test scores of reading achievement and intelligence from school records of the entire third-grade population in each school system.

For our present purposes we assume that the sole subject of bargaining is the basic wage rate ( not including productivity improvement factors or cost-of-living adjustments ), and it is this basic wage rate which determines the level of costs.

For almost a hundred years we relied upon state courts ( subject to review by the Supreme Court ) for the protection of most rights arising under national law.

For the use of students and future restorers, a full, day-by-day record was kept of all three undertakings, complete technical reports on what we found and what we did.

For convenience we chose a stronger pigment, unknown to the early Italians or to Brumidi, titanium oxide, reserving the active lime white for highest lights, put on at the end of the day's stint.

For phosphor to fiber and fiber to air surfaces, and assuming Af, we obtain Af percent.

For the further discussion, we shall thus assume an electron optical resolution of 80 Af and phosphor screen resolution of 60 Af.

For the second we might have to choose the volume of reactor or amount of cooling to be supplied ; ;

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

For another moment we didn't talk, then she began to weep.

For it is primarily in community that we know and experience spirit.

For this decision a man must take personal responsibility.

For both economic and political reasons all segments of the population must be able to share in the growth of a country.

For this must be the project of the whole American people.

For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;

For many of these measurements the chest must be opened, but the blood vessels and the heart itself remain undisturbed.

For proper accreditation of schools, teachers in any course must have a degree at least one level above that for which the student is a candidate.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

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.

For more explicit expositions, one must distinguish different types of analyses.

For punched-card or tape storage of information all literature values must be conformed to a common language.

For many Muslims, i ' thar must be practiced as a religious obligation during specific Islamic holidays.

For observational data, the derivation of confidence intervals must use subjective models, as emphasized by Ronald A. Fisher and his followers.

For some such computational process, the algorithm must be rigorously defined: specified in the way it applies in all possible circumstances that could arise.

For Euclid ’ s method to succeed, the starting lengths must satisfy two requirements: ( i ) the lengths must not be 0, AND ( ii ) the subtraction must be “ proper ”, a test must guarantee that the smaller of the two numbers is subtracted from the larger ( alternately, the two can be equal so their subtraction yields 0 ).

For the author to reach his or her audience, the work usually must attract the attention of the editor.

For more rigorous and precise analysis, the numerical approximations must be used.

For Tom Horn, it turned out, had a number of rancher and cowboy witnesses ready and willing to swear with straight faces that he had been in Bates Hole the day of the killing.

For that is the one an increasingly large number of prominent Americans are now proposing.

For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.

For the last two years, this frontier of the arts has produced a number of so-called `` non-dramas '' which have left indelible, bittersweet impressions on the psyche of this veteran theatregoer.

For example, the level of improvement noted in a recent experiment with a short course of immediate treatment for parent-child relationship problems compared favorably with the results reported by typical child guidance clinics where the hours spent in purely diagnostic study may equal or exceed the number of hours devoted to actual treatment interviews in the experimental project.

For a number of years Kentucky, Louisiana and several other states have been building state-sponsored vocational education schools that serve nearby school districts in several counties.

For a number of years, there have been sporadic attempts in California to organize farm workers.

For a number of years the board used a machine to keep a permanent record but abandoned the practice about two years ago.

For example, a writer in a recent number of The Queen hyperbolically states that `` of the myriad imprecations the only one which the English Catholics really resent is the suggestion that they are ' un-English ' ''.

For a number of years, Wesleyan has been drawing varied groups of political and business leaders into these informal discussions with members of the faculty and student body, attempting to explore and clarify aspects of their responsibility for public policy.

For English, this is partly because the Great Vowel Shift occurred after the orthography was established, and because English has acquired a large number of loanwords at different times, retaining their original spelling at varying levels.

" For some people, a program is only an algorithm if it stops eventually ; for others, a program is only an algorithm if it stops before a given number of calculation steps.

For any real number the absolute value or modulus of is denoted by ( a vertical bar on each side of the quantity ) and is defined as

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

For example, the number of solutions of an equation over a finite field reflects the topological nature of its solutions over the complex numbers.

Many who side with this view disagree that Luke portrays Christianity or the Roman Empire as harmless and thus reject the apologetic view because “ Acts does not present Christians as politically harmless or law abiding for there are a large number of public controversies concerning Christianity, particularly featuring Paul .” For example, to support this view Cassidy references how Paul is accused of going against the Emperor because he is “ saying that there is another king named Jesus .” ( Acts 17: 7 ) Furthermore, there are multiple examples of Paul ’ s preaching causing uprisings in various cities ( Acts 14: 2 ; 14: 19 ; 16: 19-23 ; 17: 5 ; 17: 13-14 ; 19: 28-40 ; 21: 27 ).

For instance, binary search is said to run in a number of steps proportional to the logarithm of the length of the list being searched, or in O ( log ( n )), colloquially " in logarithmic time ".

For normal calculation a number zero is often needed, here most notably when calculating the number of years in a period that spans the epoch ; the end years need only be subtracted from each other.