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These formulas may be used when h is much smaller than the radius of the Earth ( 6371 km ), including all views from any mountaintops, aeroplanes, or high-altitude balloons.
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These and formulas
These formulas can even serve as the definition of the trigonometric functions for complex arguments x.
These results, however, are very sensitive to the accuracy of the twiddle factors used in the FFT ( i. e. the trigonometric function values ), and it is not unusual for incautious FFT implementations to have much worse accuracy, e. g. if they use inaccurate trigonometric recurrence formulas.
These simple formulas will not do if the input values are not equally likely, or are not independent.
These two researchers developed several formulas for mineral nutrient solutions, known as Hoagland solution.
These same interpolation formulas nevertheless continue to be used as part of the software algorithms for solving differential equations.
These formulas provide the solution for the initial-value problem for the wave equation.
These changes can be represented in formulas by inserting appropriate electrons into each half-reaction:
These formulas however only provide the calculation for the τ = τ < sub > 0 </ sub > case.
These formulas characterize the periapsis and apoapsis of an orbit:
These formulas are traditionally used in analog televisions and equipment ; digital equipment such as HDTV and digital video cameras use Y ' CbCr.
These formulas are connected to the Schubert decomposition of the Grassmannian, and are q-analogs of the Betti numbers of complex Grassmannians.
These formulas are the basis for comparing and investigating the nature of non-random patterns in the structure of food web networks among many different types of ecosystems.
These formulas are generalized by the Faà di Bruno's formula.
These formulas can also be written using Lagrange's notation.
These formulas contain the " slope " of the line connecting P and Q, hence involve divisions between residue classes modulo n, which can be performed using the extended Euclidean algorithm.
These operators are direct extensions of their complex analogs: if and are taken from the real subset of complex numbers, the appearance of the conjugate in the formulas has no effect, so the operators are the same as those for the complex numbers.
These ideas were regarded as dynamic forces that Herbart attempted to explain by means of mathematical formulas.
These formulas for denatured alcohol are found in 27 CFR part 21 of the Code of Federal Regulations.
These formulas are for single-frequency sine waves or narrowband signals.
These formulas only state in another form the assertions in the table of derivatives.
These formulas all provide a different view into the processes that generate longshore drift.
These five formulas are:
These formulas give the explicit numbers of rational curves of all degrees in a large class of Calabi – Yau manifolds, in terms of the Picard – Fuchs equations of the corresponding mirror manifolds.
These two formulas, added together, produce
These and may
These illiterate boors conscripted from villages all across the Czarina's empire had, Suvorov may have told Lewis, just two things a commander could count on: physical fitness and personal courage.
These deductions may not be claimed if you elect to use the Standard Deduction or Tax Table.
These publications may be secured as follows: The Annual Catalog from the Director of Admissions and other issues from the Publications Office.
These minimum costs may come to $1 per month, more or less, for residential and small commercial customers, although they are substantially higher for large industrial users, who require more costly connections and metering devices.
These may be consulted in the office of the Architect of the Capitol, or the Library of Congress.
These tubes may differ both in the choice of the electron optical system and in the design of the coupling members.
These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.
These regional differences of sensitivity to pain may be of crucial significance during the earliest intercourse.
These tractors are not entirely satisfactory for plowing, particularly on heavier soils, so you may still want to hire someone to do the plowing.
These things may be happening many miles away from us but really they are right next door.
These penetrate the jelly envelope after the eggs are laid and may increase the supply of oxygen to the embryo through photosynthesis.
These regions are presented to the attacking animal and their secretions may be foul-tasting or cause various physical or neurological symptoms.
These provinces may take the form of national churches ( such as in Canada, Uganda, or Japan ) or a collection of nations ( such as the West Indies, Central Africa, or Southeast Asia ).
These single-cell fibers of the sciatic nerve may extend a meter or even longer.
These antibiotics may also be prescribed to patients with a documented allergy to penicillin.
These and most other cities and large towns are now connected with asphalt-paved roads, while smaller towns are often connected by dirt roads, which may require a four-wheel-drive vehicle.
These findings may corroborate the evidence for social behaviour in Albertosaurus, although some or all of the above localities may represent temporary or unnatural aggregations.
These principles may flourish and triumph in the schools ; where it is, indeed, difficult, if not impossible, to refute them.
These may have been multiples of the customary acre, rather than the statute acre.
These unconscious reactions may even be partly constitutive of what makes our judgment a judgment that the landscape is sublime.
These weapons may be mounted on a pintle, affixed directly to the vehicle or placed in a turret or cupola.
Bibas argues, " These procedures may be constitutional and efficient, but they undermine key values served by admissions of guilt in open court.
These narratives may be true and may be false ; the veracity of the stories is not a determining factor.
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