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Page "Elastic collision" ¶ 69
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Since and total
Since the company under review is supplying what we are here regarding as only one kind of service, we might suppose that the problem of total cost apportionment would be very simple ; ;
Since 2002 the Victorian Industry has seen a significant decline in catches, with the total allowable catch ( TAC ) reduced from 1440 tonnes to 787 tonnes for the 2011 / 12 fishing year.
Since 1996 estimates, there has been a significant reduction in the total length of unpaved highway in Botswana-between 1996 and 1999 total length of unpaved highway fell from 14, 139 km to 4, 597 km.
* 1824 – United States presidential election, 1824: Since no candidate received a majority of the total electoral college votes in the election, the United States House of Representatives is given the task of deciding the winner in accordance with the Twelfth Amendment to the United States Constitution.
Since then, the film has reached an estimated total of $ 10, 900, 000 in box office revenues.
Since its reformation under private law in 1994, Deutsche Bahn AG ( DB AG ) no longer publishes details of the tracks it owns ; in addition to the DBAG system there are about 280 privately or locally owned railway companies which own an approximate 3, 000 km to 4, 000 km of the total tracks and use DB tracks in open access.
Since this gas is in approximate hydrostatic equilibrium with the overall cluster gravitational field, the total mass distribution can be determined.
Since whalemen primarily targeted these new mothers, several thousand deaths should probably be added to the total.
IRI is more accurate in describing the variation of the electron density from bottom of the ionosphere to the altitude of maximum density than in describing the total electron content ( TEC ). Since 1999 this model is " International Standard " for the terrestrial ionosphere ( standard TS16457 ).
Since 1978 black membership has grown, and in 1997 there were approximately 500, 000 black members of the church ( about 5 % of the total membership ), mostly in Africa, Brazil and the Caribbean.
Since 1990, more than 1, 500 foreign companies from 61 countries have invested a total of $ 338. 3 million in Mongolia.
Since the start of the 20th century, complexity of total syntheses has been increasing, with examples such as lysergic acid and vitamin B12.
Since the kinetic energy is never negative, if the common convention is adopted of taking the potential energy as zero at infinite separation, the bound orbits have negative total energy, parabolic trajectories have zero total energy, and hyperbolic orbits have positive total energy.
Since a proportion must be between 0 and 1, inclusive, the index α must be positive, but in order for the total income of the whole population to be finite, α must also be greater than 1.
Since there are N atoms in total,
Since the beginning of the " methanol affair " the total number of deaths has increased to 25.
Since then, several more efficient quinine total syntheses have been achieved, but none of them can compete in economic terms with isolation of the alkaloid from natural sources.
Since it is a balanced tree, it guarantees insertion, search and delete to be O ( log n ) in time, where n is the total number of elements in the tree.
Since 2007, the Chargers have worn the alternate powder blue jerseys a total of eleven times, most recently in a December 18, 2011 game vs. the Baltimore Ravens.
Since Sidgwick raised the question it has been studied in detail and philosophers have argued that using either total or average happiness can lead to objectionable results.
# Since usability is related to the specific set of users, such a small sample size is unlikely to be representative of the total population so the data from such a small sample is more likely to reflect the sample group than the population they may represent
Since a walrus's hide usually accounts for about 20 % of its body weight, the total body mass of these two giants is estimated to have been at least.

Since and energy
Since he can neither accept nor reject them all, he must be governed by the time and energy available for his prime professional obligations.
Since the relation between changes in Gibbs free energy ( G ), the enthalpy ( H ) and the entropy is
Since this process does not involve any heat transfer or work, the First Law of Thermodynamics then implies that the net internal energy change of the system is zero.
Since meat has a higher energy density than vegetables, and cooking it allows more nutrients to be liberated to the body, the introduction of cooked meat in the human diet reduced the energy requirements of the digestive system.
Since the start of the " Special Period " in 1991 ( energy shortages caused by the loss of the Soviet Union as a trading partner ), hitchhiking and carpooling have become important parts of Cuba's transportation system and society in general.
Since it is time-consuming to calculate the energy for a molecule, it is even more time-consuming to calculate them for the entire list of points in the Brillouin zone.
Since the value of this energy depends on the shapes and positions of the conductors and dielectrics, the Casimir effect manifests itself as a force between such objects.
Since the energy levels of electrons in atoms are discrete, each element and each molecule emits and absorbs its own characteristic frequencies.
Since such radiation can produce severe damage to life at powers that produce very little heating, it is considered far more dangerous ( in terms of damage-produced per unit of energy, or power ) than the rest of the electromagnetic spectrum.
Since electrical energy cannot easily be stored in quantities large enough to meet demands on a national scale, at all times exactly as much must be produced as is required.
Since the free energy is the maximum amount of work that can be extracted from a system, one can write:
Since work is defined as a force acting through a distance ( a length of space ), energy is always equivalent to the ability to exert pulls or pushes against the basic forces of nature, along a path of a certain length.
Since 1918 it has been known that the law of conservation of energy is the direct mathematical consequence of the translational symmetry of the quantity conjugate to energy, namely time.
Since the kinetic energy of a molecule is proportional to its temperature, evaporation proceeds more quickly at higher temperatures.
Since unsaturated fats contain fewer carbon-hydrogen bonds than saturated fats with the same number of carbon atoms, unsaturated fats will yield slightly less energy during metabolism than saturated fats with the same number of carbon atoms.
Since the stored energy in the barrier is less than the energy stored in a barrier-free region of the same length due to destructive interference, the group delay for the energy to escape the barrier region is shorter than it would be in free space, which according to Winful is the explanation for apparently superluminal tunneling.
Since the heat source that supplies thermal energy to the engine can thus be powered by virtually any kind of energy, heat engines are very versatile and have a wide range of applicability.
Since the stopping force F times that distance must be equal to the head's kinetic energy, it follows that F will be much greater than the original driving force f — roughly, by a factor D / d.
Since the early 20th century, the term is used almost exclusively in conjunction with the modern development of hydro-electric power, which allowed use of distant energy sources.
Since the potential energy depends on the spatial arrangement of the particles, the kinetic energy will also depend on the spatial configuration to conserve energy.

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