However, the conversion from mass to size is unreliable, since many photographic meteors give evidence of a fluffy, loosely bound meteorite structure with densities as low as Af.

However, since the pencil contains a secant of **zg it actually contains only Af singular lines.

However, the Attorney General of California, at the request of the Secretary of Labor, sought to have the jurisdiction over the issue removed to the Federal District Court, on grounds that it was predominantly a Federal issue since the validity of the Secretary's Regulation was being challenged.

However, the Federal Court held that since the State had accepted the provisions of the Wagner-Peyser Act into its own Code, and presumably therefore also the regulations, it was now a State matter.

However much football has been over-emphasized, the public likes to measure its collegiate favorites by the scoreboard, so, while Yale need never give its record a thought again since outscoring its opponents 694 to 0 in the season of 1888, Dartmouth had to wait until its championship team of 1925 for national recognition.

However, he thinks we should love God more than ourselves and our neighbours, and more than our bodily life — since the ultimate purpose of loving our neighbour is to share in eternal beatitude: a more desirable thing than bodily well being.

However, since no equipment existed to show the images in motion, such a series of images cannot be called animation in a true sense of the word .< ref >

However, since Anatolia is now often considered to be synonymous with Asian Turkey, its eastern and southeastern borders are widely taken to be the Turkish borders with the neighboring countries, which are Georgia, Armenia, Iran, Iraq and Syria, in clockwise direction.

However, international observers have questioned the fairness of Armenia's parliamentary and presidential elections and constitutional referendum since 1995, citing polling deficiencies, lack of cooperation by the Electoral Commission, and poor maintenance of electoral lists and polling places.

However, since some feel that being the children of the main characters is too limiting, it is fairly common to either start with King Oberon's death before the book begins and roleplay the Elder Amberites as they vie for the throne ; or to populate Amber from scratch with a different set of Elder Amberites.

However, since it is capable of being greatly altered and even discharged by heat, the color was believed by some authorities to be from an organic source.

However, since the discovery of extensive deposits in locations such as Brazil, it has lost most of its value.

However, he became gravely ill during the 1918 flu pandemic and, since Spain was neutral and thus under no wartime censorship restrictions, his illness and subsequent recovery were covered worldwide, giving the false impression ( in the absence of real news from anywhere else ) that Spain was the most-affected area.

However, other geographers have had access to the same data since 2001, and a consensus has yet to emerge to support the claims of these Brazilian scientists.

However, he thinks that these too occur out of necessity since an outside observer can see the same regularity that he would in a purely physical system.

However, virtually all major works of Greek and Latin prose possessed such clausulae ; and some scholars have rejected the identification of Libanius ' Marcellinus with Ammianus, since Marcellinus was a very common name and the tone suggests Libanius was addressing a man much younger than himself ( Ammianus was his contemporary ).

However, this operation may not be appropriate for all applications, since it is not associative.

However, legislating for alterations to the Act is a complex process, since the act is a common denominator in the shared succession of all the Commonwealth realms and the Statute of Westminster 1931 acknowledges by established convention that any changes to the rules of succession may be made only with the agreement of all of the states involved, with concurrent amendments to be made by each state's parliament or parliaments.

However, the temple was probably reconstructed since in 454 BC the treasury of the Delian League was transferred in its opisthodomos.

However, since Paul was from Cilicia and refers to himself using this name ( see Acts 21: 39, 22: 3 ), it seems very natural that the name Cilicia would have continued to be in colloquial use among its residents despite its hiatus in official Roman nomenclature.

However, although Apollonius came close to developing analytic geometry, he did not manage to do so since he did not take into account negative magnitudes and in every case the coordinate system was superimposed upon a given curve a posteriori instead of a priori.

However, brews made using DMT containing plants are illegal since DMT is a Schedule I drug.

However, these negotiations came to nothing, since the Bidwills insisted on retaining a controlling interest in the franchise and were unwilling move their team to a city where a previous NFL franchise had failed in 1952.

However, since the radio was slightly too big to fit in a shirt pocket, Morita made his employees wear shirts with slightly larger pockets to give the radio a " pocket sized " appearance.

However, since 1960 the population has fallen by 8 %.

However, some decades ago there were also scientists, like the physicists Heisenberg and Schrödinger and the psychologist Piaget, who fulfill the criteria Brockman named for " third culture.

However, one needs at least 4 × 4 matrices to set up a system with the properties required — so the wave function had four components, not two, as in the Pauli theory, or one, as in the bare Schrödinger theory.

However, the Schrödinger equation predicts that there is a small probability that the ball will get to the other side of the hill, even if it has too little energy to reach the top.

However, the Schrödinger equation does not directly say what, exactly, the wavefunction is.

However, no-one, even Schrödinger and De Broglie, were clear on how to interpret it.

However, the concepts lead theoretical physicists, in particular Schrödinger, Dirac, Heisenberg and Feynman, to the development of quantum mechanics, and its refinement-quantum field theory.

However, many of Hartree's contemporaries did not understand the physical reasoning behind the Hartree method: it appeared to many people to contain empirical elements, and its connection to the solution of the many-body Schrödinger equation was unclear.

However, the necessity of reduction of Z by a number close to 1 for these K-alpha lines in heavier elements ( aluminum and above ) was derived completely empirically by Moseley, and was not discussed by his papers in theoretical terms, since the concept of atomic shells with paired electrons was not well established in 1913 ( this would not be proposed until about 1920 ), and in particular the Schrödinger atomic orbitals, including the 1s orbital with only 2 electrons, would not be formally introduced and completely understood, until 1926.

However, if the equation were based on the natural numbers for example, some of these operations ( like division and subtraction ) may not be valid as negative numbers and non-whole numbers are not allowed.

However, this equation becomes increasingly inaccurate at higher pressures and lower temperatures, and fails to predict condensation from a gas to a liquid.

However a more simple equation relating only the different energies in the fluid, known as Bernoulli's equation can be used.

However, globally human-made pollutants from combustion, construction, mining, agriculture and warfare are increasingly significant in the air pollution equation.

However, Bernoulli's equation states:

However, it is not yet clear what the full field equation will govern the dilaton in higher dimensions.

However, this equation may not be applicable to a comparator circuit which is non-linear and operates open-loop ( no negative feedback ).

However, when he explains in detail what he means, it is clear that he actually believes that his assertion is always true ; for instance, he shows that the equation x < sup > 4 </ sup > = 4x − 3, although incomplete, has four solutions ( counting multiplicities ): 1 ( twice ), − 1 + i √< span style =" text-decoration: overline "> 2 </ span >, and − 1 − i √< span style =" text-decoration: overline "> 2 </ span >.

However, the equation gives no information on the function's dependence on the variable y.

However, when we set corresponding coefficients equal in this case, the equation for x < sup > 3 </ sup > is

However in general, the equation is non-linear, and may lead to chaotic behaviour depending on how sensitive the system is to the initial conditions.

However, this equation only applies if the source resistance cannot be adjusted, e. g., with antennas ( see the first line in the proof stating " fixed source resistance ").

However, because is so much smaller than, the second term on the right in the above equation is small compared to the first, so doesn't have to be determined with high accuracy, and the balancing procedure described above is sufficient to give accurate results.

However, the equation of time can still be calculated for any time of the year, so an analemma can be graphed with this information.

However, the Council for Community and Economic Research ranked Fort Bend County as America's 3rd wealthiest county when the local cost of living was factored into the equation with median household income.

However, iconographically, such an equation is questionable, since what is considered the Classic Maya moon goddess, identifiable through her crescent, is always represented as a fertile young woman.

However, even in this simple example it may be observed that for ( arbitrarily ) small there are four other solutions to the equation ( with very large magnitude ).

However, there remains a further possible source of cancellation when computing and indeed this can lead to up to half of significant figures being lost: to correct for this requires to be computed in extended precision, of twice the precision of the final result ( see quadratic equation for details ).

) However, this was understood ( only ) in the language of equivalence classes of quadratic forms, so that in particular the analogy between quadratic forms and the Fermat equation seems not to have been perceived.

However, power consumption by a chip is given by the equation P = C × V < sup > 2 </ sup > × F, where P is power, C is the capacitance being switched per clock cycle ( proportional to the number of transistors whose inputs change ), V is voltage, and F is the processor frequency ( cycles per second ).