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Page "Universal property" ¶ 56
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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 object
For example, GOTO telescopes tend to be faster for locating items of interest than star hopping, allowing more time for studying of the object.
For nearby astronomical objects ( such as stars in our galaxy ) luminosity distance D < sub > L </ sub > is almost identical to the real distance to the object, because spacetime within our galaxy is almost Euclidean.
For much more distant objects the Euclidean approximation is not valid, and General Relativity must be taken into account when calculating the luminosity distance of an object.
For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is
For an object with a fixed mass that is rotating about a fixed symmetry axis, the angular momentum is expressed as the product of the moment of inertia of the object and its angular velocity vector:
For an object with a fixed mass that is rotating about a fixed symmetry axis,
For example, a charged black hole repels other like charges just like any other charged object.
For this reason, editors choose cutaway shots related to the main action, such as another action or object in the same location.
:* Identity: For every object x, there exists a morphism called the identity morphism for x, such that for every morphism, we have.
* For every object x in C, ;
For him, the sense of an expression in language describes a certain state of affairs in the world, namely, the way that some object is presented.
For an object swinging around on the end of a rope in a horizontal plane, the centripetal force on the object is supplied by the tension of the rope.
For a spinning object, internal tensile stress provides the centripetal forces that make the parts of the object trace out circular motions.
For light, we can often neglect one direction if the diffracting object extends in that direction over a distance far greater than the wavelength.
For example, chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ).
For instance, one common function in most languages is the, which returns some human-readable form for the object.
For example, there are names that have the role of properties that uniquely identify an object.
For example, all types of potential energy are converted into kinetic energy when the objects are given freedom to move to different position ( as for example, when an object falls off a support ).
For spherical bodies, when the occulting object is smaller than the star, the length ( L ) of the umbra's cone-shaped shadow is given by:
For instance, therapists have used sentences like, “ Who is the boy helping ?” and “ What is the boy fixing ?” because both verbs are transitive-they require two arguments in the form of a subject and a direct object, but not necessarily an indirect object.
For electrical systems which use alternating current the electrodes are the connections from the circuitry to the object to be acted upon by the electric current but are not designated anode or cathode since the direction of flow of the electrons changes periodically, usually many times per second.

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