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 some alternate conceptions of what constitutes an algorithm see functional programming and logic programming.

For Alexander Gottlieb Baumgarten aesthetics is the science of the sense experiences, a younger sister of logic, and beauty is thus the most perfect kind of knowledge that sense experience can have.

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, a professor of formal logic called Chin Yueh-lin – who was then regarded as China ’ s leading authority on his subject – was induced to write: “ The new philosophy Marxism-Leninism, being scientific, is the supreme truth ”.

For example, in most systems of logic ( but not in intuitionistic logic ) Peirce's law ((( P → Q )→ P )→ P ) is a theorem.

For classical logic, it can be easily verified with a truth table.

: For the theorem of propositional logic which expresses Disjunction elimination, see Case analysis.

For Husserl this is not the case: mathematics ( with the exception of geometry ) is the ontological correlate of logic, and while both fields are related, neither one is strictly reducible to the other.

For example, he coined the programming phrase " two or more, use a for ," alluding to the rule of thumb that when you find yourself processing more than one instance of a data structure, it is time to consider encapsulating that logic inside a loop.

For a history of first-order logic and how it came to be the dominant formal logic, see José Ferreirós 2001.

For the life of me I cannot understand the logic of having a Governor who is part-time and doesn ’ t live at Government House.

For a concise description of the symbols used in this notation, see List of logic symbols.

For a concise description of the symbols used in this notation, see List of logic symbols.

For higher speed, the resistors used in RTL were replaced by diodes, leading to diode-transistor logic ( DTL ).

For small-scale logic, designers now use prefabricated logic gates from families of devices such as the TTL 7400 series by Texas Instruments and the CMOS 4000 series by RCA, and their more recent descendants.

For thousands of years, society considers Mentats the embodiment of logic and reason.

For example, the AT91CAP from Atmel has a block of logic that can be customized during manufacturer according to user requirements.

: For the theorem of propositional logic based on the same concept, see double negation.

For data transmission lines ( TxD, RxD and their secondary channel equivalents ) logic one is defined as a negative voltage, the signal condition is called marking.

For any given level of general performance, a RISC chip will typically have far fewer transistors dedicated to the core logic which originally allowed designers to increase the size of the register set and increase internal parallelism.

For the skeptics, such logic was thus an inadequate measure of truth and could create as many problems as it claimed to have solved.

: For example, the design of a multitier architecture is made simple using Java Servlets in the web server and various CORBA servers containing the business logic and wrapping the database accesses.