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For and curves
For a right-handed bowler, " forehand draw " or " finger peg " is initially aimed to the right of the jack, and curves in to the left.
For 3D animation Bézier curves are often used to define 3D paths as well as 2D curves for keyframe interpolation.
For example, a central bank might set a target rate for overnight lending of 4. 5 %, but rates for ( equivalent risk ) five-year bonds might be 5 %, 4. 75 %, or, in cases of inverted yield curves, even below the short-term rate.
For Dunedin, George Smith Duncan further developed the Hallidie model, introducing the pull curve and the slot brake ; the former was a way to pull cars through a curve, since Dunedin's curves were too sharp to allow coasting, while the latter forced a wedge down into the cable slot to stop the car.
For best results the lines in a sketch are typically drawn to follow the contour curves of the surface, thus producing a depth effect.
For comparison, the other two general conic sections, the ellipse and the parabola, derive from the corresponding Greek words for " deficient " and " comparable "; these terms may refer to the eccentricity of these curves, which is greater than one ( hyperbola ), less than one ( ellipse ) and exactly one ( parabola ), respectively.
For example, profit maximization lies behind the neoclassical theory of the firm, while the derivation of demand curves leads to an understanding of consumer goods, and the supply curve allows an analysis of the factors of production.
For channel surfaces one sheet forms a curve and the other sheet is a surface ; For cones, cylinders, toruses and cyclides both sheets form curves.
For curves that cannot be drawn on a 2D surface without self-intersections, the corresponding universal curve is the Menger sponge, a higher-dimensional generalization.
For both of these reasons, long-run market supply curves are flatter than their short-run counterparts.
For most goods the marginal rate of substitution is not constant so their indifference curves are curved.
For instance, bending without stretching or tearing a page of paper gives an isometric embedding of the page into Euclidean space because curves drawn on the page retain the same arclength however the page is bent.
For example, if you were to bet $ 1 at 10 to 1 odds ( you could win $ 10 ) on the outcome of a coin flip, you would be getting " the best of it " and you should always make the bet ( assuming you are rational and risk-neutral with linear utility curves and have no preferences implying loss aversion and the like ).
For accurate results, the instrument's response to the analyte in the unknown should be compared with the response to a standard ; this is very similar to the use of calibration curves.
For the 200 m, 300 m and 400 m, which involve curves, runners are staggered for the start.
For example, the Japanese N700 Series Shinkansen may tilt up to one degree on the Tōkaidō Shinkansen, allowing the trains to maintain even on radius curves that previously had a maximum speed of.
For patients with two curves, Cobb angles are followed for both curves.
For example, oscilloscopes use natural phenomena to draw lines and curves.
For speedup techniques using Edward curves and implementation results, see: http :// eprint. iacr. org / 2008 / 016 page 30-32.
For instance, in one race through a densely wooded area with a route full of long curves, Ruffcut is able to temporarily take the lead by carving straight line shortcuts through the foliage.
For discrete-time dynamical systems the orbits are sequences, for real dynamical systems the orbits are curves and for holomorphic dynamical systems the orbits are Riemann surfaces.

For and given
For the moment there was no woman in his life, and it was this vacuum that had given Claire her opportunity.
For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.
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.
For the industry of this model, the effect of such public pressures in the past has been to hold the price well below the short-run profit-maximizing price ( given the wage rate and the level of GNP ), and even below the entry-limited price ( but not below average cost ).
For some substances, auxiliary properties such as the melting point are given.
For circular fibers in a closely packed hexagonal array, the packing efficiency is given by: Af where Af, and 0.906 is the ratio of the area of a circle to that of the circumscribed hexagon.
For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.
For Mrs. Shaefer -- who had been given a clean bill of health by her own physician at the time she visited Lee -- and her friend were agents for the California Pure Food and Drug Inspection Bureau.
On the clock given him was the inscription, `` For Outstanding Contribution to Billiken Basketball, 1960-61 ''.
For nearly a year, they have been receiving counseling, separately and together, in an effort to understand and overcome the antagonisms which had given rise to the possibility of divorce.
A Sonata For Violin And Piano, called `` Bella Bella '', by Robert Fleming, was given its first United States performance.
For this reason the examples given below are grouped by voltage level.
" For some people, a program is only an algorithm if it stops eventually ; for others, a program is only an algorithm if it stops before a given number of calculation steps.
Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist.
For Altaicists, the version of Altaic they favor is given at the end of the entry, if other than the prevailing one of Turkic – Mongolic – Tungusic – Korean – Japanese.
For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).
For example, one can say for a given transition that it corresponds to the excitation of an electron from an occupied orbital to a given unoccupied orbital.
For an ideal gas the internal energy is given by
For example, given two image elements A and B, the most common compositing operation is to combine the images such that A appears in the foreground and B appears in the background.
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 example, some see the World Bank and the IMF as corrupt bureaucracies which have given repeated loans to dictators who never do any reforms.
For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.
For cross-referencing, they are given with list indices from Andreini ( 1-22 ), Williams ( 1-2, 9-19 ), Johnson ( 11-19, 21-25, 31-34, 41-49, 51-52, 61-65 ), and Grünbaum ( 1-28 ).

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