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 centuries the North Atlantic nations dominated the world and as long as they did they could afford the luxury of fighting each other.

For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??

For each State ( except Puerto Rico, Guam, the Virgin Islands, and, prior to 1962, Alaska and Hawaii ) determine average per capita income based on the last three years.

( For each State, make all computations set forth in items 1 to 8 above, and then add the results obtained for each State in item 8.

For each State ( except the Virgin Islands, Guam, Puerto Rico, and, prior to 1962, Alaska and Hawaii ), determine the average per capita income for the last three years.

For the year 2000 this means servicing ( A ) the protection requirements of a watershed producing at least 200 million acre-feet of water each year, ( B ) recreation and wildlife resources used each year by 635 million visitors, ( C ) a timber resource supporting an annual cut of 21 billion board feet, and ( D ) 60 million acres of rangelands.

For added strength, I also fastened a small block on each side of every frame and batten joint.

Moreland fixed us each another drink, and said, `` For God's sake, tell me something truly amusing ''.

For each mass flow rate the arc voltage was measured.

For each i, let Af.

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 each of these lines meets Q in three points, namely two points on **zg and one point on one of the multiple secants.

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.

The Wechsler Intelligence Scale For Children was administered to each sample third-grade child by a clinical worker.

For example, one hebephrenic man used to annoy me, month after month, by saying, whenever I got up to leave and made my fairly steoreotyped comment that I would be seeing him on the following day, or whenever, `` You're welcome '', in a notably condescending fashion -- as though it were his due for me to thank him for the privilege of spending the hour with him, and he were thus pointing up my failure to utter a humbly grateful, `` thank you '' to him at the end of each session.

For deserts, puddings and pies are each served once a week.

For easy viewing, the middle 2 beads on each wire ( the 5th and 6th bead ) usually are of a different colour from the other eight beads.

For each picture frame, the 6502 writes graphics commands for the DVG into a defined area of RAM ( the vector RAM ), and then asks the DVG to draw the corresponding vector image on the screen.

For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.

For example, suppose that each member of the collection X is a nonempty subset of the natural numbers.

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 them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.

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, if so, the path leads through a complex process of parliamentary diplomacy which adds still another dimension to the problem.

For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.

For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.

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

For example, child welfare experience abounds with cases in which the parental request for substitute care is precipitated by a crisis event which is meaningfully linked with a fundamental unresolved problem of family relationships.

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

For the first time in history, the U.S. has produced a society in which less than one-tenth of the people turn out so much food that the Government's most embarrassing problem is how to dispose inconspicuously of 100 million tons of surplus farm produce.

For example, if for a given problem size a parallelized implementation of an algorithm can run 12 % of the algorithm's operations arbitrarily quickly ( while the remaining 88 % of the operations are not parallelizable ), Amdahl's law states that the maximum speedup of the parallelized version is times as fast as the non-parallelized implementation.

For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.

For instance, the P-38 Lightning with its thick high-lift wing had a particular problem in high-speed dives that led to a nose-down condition.

For example, the second edition of the popular introductory textbook, An Outline of Money, devoted the last three of its ten chapters to questions of foreign exchange management and in particular the ' problem of balance '.

" For instance ," said Dr. Joseph Merlino, Senior Editor of the book Freud at 150: 21st Century Essays on a Man of Genius, " that ... I'm a cross-dresser and I don't want to keep it confined to my circle of friends, or my party circle, and I want to take that to my wife and I don't understand why she doesn't accept it, or I take it to my office and I don't understand why they don't accept it, then it's become a problem because it's interfering with my relationships and environment.

For instance, because the 10 in the problem represents ten seconds, the expression f ′( 10 ) represents the change in pressure at a height of ten seconds, which is nonsense.

" For Adorno and Horkheimer, this posed the problem of how to account for the apparent persistence of domination in the absence of the very contradiction that, according to traditional critical theory, was the source of domination itself.

For example, primality testing is the problem of determining whether a given number is prime or not.

For example, consider the problem of primality testing.

For this reason, complexity theory addresses computational problems and not particular problem instances.

For each problem, the first person to solve it will be awarded $ 1, 000, 000 by the CMI.

For example, consider the problem of finding an integer x such that

For instance, Winter cites the example of a patient with a persistent headache supposedly tracing the problem to a doctor saying " Take him now " during the preclear's birth.

For example, the problem " given two numbers x and y, does x evenly divide y?