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Page "Automorphism" ¶ 27
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For and each
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 and element
For the answer cannot be derived from any socially cohesive element in the disrupting community.
For example, the open interval ( 0, 1 ) does not have a least element: if x is in ( 0, 1 ), then so is x / 2, and x / 2 is always strictly smaller than x.
For example, Madagascar's central highland plateau has become virtually totally barren ( about ten percent of the country ), as a result of slash-and-burn deforestation, an element of shifting cultivation practiced by many natives.
For example, steel is stronger than iron, its primary element.
For example, an array of 10 integer variables, with indices 0 through 9, may be stored as 10 words at memory addresses 2000, 2004, 2008, … 2036, so that the element with index i has the address 2000 + 4 × i.
For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.
For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.
For this reason, the C programming language specifies that array indices always begin at 0 ; and many programmers will call that element " zeroth " rather than " first ".
For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.
For example, if the sorted list to which we apply binary search has n elements, and we can guarantee that each lookup of an element in the list can be done in unit time, then at most log < sub > 2 </ sub > n + 1 time units are needed to return an answer.
For example a target acquisition element can send a message with target details which is automatically routed through the tactical and technical fire control elements to deliver firing data to the gun's laying system and the gun automatically laid.
; Inverse element: For each a in A, there exists an element b in A such that a • b
For example, the spectrum of an element of a complex Banach algebra can never be empty, whereas in a real Banach algebra it could be empty for some elements.
For example, all atoms with 6 protons in their nuclei are atoms of the chemical element carbon, and all atoms with 92 protons in their nuclei are atoms of the element uranium.
For HTML it is possible to include this information inside the element near the top of the document:
For example, at over 1. 9 years, over a billion times longer than the current estimated age of the universe, bismuth-209 ( atomic number 83 ) has the longest known alpha decay half-life of any naturally occurring element.
For example, at over 1. 9 years, over a billion times longer than the current estimated age of the universe, bismuth-209 ( atomic number 83 ) has the longest known alpha decay half-life of any naturally occurring element.
For purposes of international communication and trade, the official names of the chemical elements both ancient and more recently recognized are decided by the International Union of Pure and Applied Chemistry ( IUPAC ), which has decided on a sort of international English language, drawing on traditional English names even when an element's chemical symbol is based on a Latin or other traditional word, for example adopting " gold " rather than " aurum " as the name for the 79th element ( Au ).
For isotopes lighter than 112 u, the primary decay mode is electron capture and the dominant decay product is element 47 ( silver ).
For example, it is immediately proven from the axioms that the identity element of a group is unique.
For example, at least one El Borak in which the protagonist infiltrates the City of the assassins was rewritten with Conan replacing Francis Xavier Gordon and a supernatural element added.
For example, a form input element could be accessed as either " document. formName. inputName " or " document. forms. elements.

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