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Page "Hausdorff dimension" ¶ 7
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For and shapes
For some compulsive reason which would have fascinated Dr. Freud, Communists of all shapes and sizes almost invariably impute to others the very motives which they harbor themselves.
For he knows that the first and sometimes most difficult job is to know what the question is -- that when it is accurately identified it sometimes answers itself, and that the way in which it is posed frequently shapes the answer.
For shapes with curved boundary, calculus is usually required to compute the area.
For example, carbon can be found as diamond, which has a tetrahedral structure around each carbon atom ; graphite, which has layers of carbon atoms with a hexagonal structure stacked on top of each other ; graphene, which is a single layer of graphite that is incredibly strong ; fullerenes, which have nearly spherical shapes ; and carbon nanotubes, which are tubes with a hexagonal structure ( even these may differ from each other in electrical properties ).
For simple shapes it is very efficient.
For example, a product package might include a logo or other artwork, organized text and pure design elements such as shapes and color which unify the piece.
For Heidegger, however, communication in the first place is not among human beings, but language itself shapes up in response to questioning ( the inexhaustible meaning of ) being.
For example, at Sacsayhuaman, in Cuzco, the zig-zag-shaped walls are composed of massive boulders fitted very precisely to one another's irregular, angular shapes.
For this reason, usually palm leaves are not used whole, due to their size ; instead, leave stripes are braided into smaller shapes.
For flight speeds near the speed of sound ( transonic flight ) or above the speed of sound ( supersonic flight ), airfoils with complex asymmetrical shapes are used to minimize the drastic increase in drag associated with airflow near the speed of sound.
For example, visual hallucinations during occipital lobe seizures are typically visions of brightly colored, geometric shapes that may move across the visual field, multiply, or form concentric rings and generally persist from a few seconds to a few minutes.
For instance, apparel, and shoes have a rich combination of shapes, colors, materials, and appropriateness to social events.
For example, the phase with which theta at the time of stimulation of a neuron shapes the effect of that stimulation upon its synapses and therefore may affect learning and memory dependent upon synaptic plasticity.
For such an iteration the Julia set is not in general a simple curve, but is a fractal, and for some values of c it can take surprising shapes.
For experimental uses, ordinary one-part silicone can be used to make molds or to mold into shapes.
For Christmas 2011, a new single seater mod came available. The F2 1967 Mod provide new accurate cars shapes, drivers, car sounds and physics. The Formula 2 physics were intended to get close racing online, with most of the cars sharing the same Ford Cosworth FVA 1600cc engine. Despite this, as others GPL mods, the F2 mod benefit of the extended 11 different cars slots with their individual handling. In 1967, drivers took part in no less than 23 Formula 2 races.
For example, atmospheric cyclones are rotational but their substantially two-dimensional shapes do not allow vortex generation and so are not turbulent.
For example, if defining a system to portray grouped shapes on a screen, it would be useful to define resizing a group of shapes to have the same effect ( in some sense ) as resizing a single shape.
For example, some experiment with pre-cut shapes for a collage effect, or simlutaneously adhere multiple overlapping pieces of paper under the printed image.
For an example of a function, let X be the set consisting of four shapes: a red square, a red triangle, a yellow rectangle and a green hexagon ; and let Y be the set consisting of five colors: red, green, blue, pink, and yellow.
For instance, the introduction of tumblehome ; adjustments to the shapes of sails and hulls ; the introduction of the wheel ; the introduction of hardened copper fastenings below the waterline ; the introduction of copper sheathing as a deterrent to shipworm and fouling ; etc.

For and are
For, unlike the Sioux and the Crows, the Aricaras are not great horsemen, nor are they aggressive like the savage Blackfeet.
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 these centers, too, are on the gold circuit.
For drugs are in themselves no royal road to creativity.
For the occasion on which everyone already knows everyone else and the host wishes them to meet one or a few honored newcomers, then the `` open house '' system is advantageous because the honored guests are fixed connective points and the drifting guests make and break connections at the door.
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.
For that is the one an increasingly large number of prominent Americans are now proposing.
For every person on Taiwan, there are sixty in Mainland China.
Small Business Administration, What It Is, What It Does, SBA Services For Community Economic Development, and various other useful publications on currently important management, technical production, and marketing topics are available, on request, from Small Business Administration, Washington 25, D.C..
For what Sam Rayburn's life in this House teaches us is that loyalty and character are not divisive and there is no such thing as being for your country and neglecting your district.
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 making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.
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, in accordance with Mr. Lowell's concept of an advisory board, our selections are made by experienced selectors who give both constancy and consistency to our processes and our choices.
For, granting that there are great present-day problems to be solved, these problems make great demands ; ;
For the maintenance of a long-term program, the departments, and particularly their chairmen, are strategic.
For some time this writer has been suggesting a Junior Judging Class for Intermediates over 16 and under 20 years of age who are ineligible to compete in the Junior Class.
For restoration of early American life the places to visit are Williamsburg, Jamestown and Yorktown, Virginia.
For me, these will belong more completely to their surroundings if they are conceived in this early stage, though I freely admit that I do not hesitate to add or eliminate figures on the full sheet when it serves my final purpose.
For a few details of the system the lines are 1-1/4'' '' X-Tru-Coat, a product of Republic Steel Corp., and all lines are welded.
For specialized types of displays, such as large three-dimensional units reproducing a product, package, human or animal figures, etc., reinforced plastics and rotationally molded vinyl plastisols are other materials frequently used.

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