Calculations in statistical mechanics rely on probabilistic arguments, which are sensitive to whether or not the objects being studied are identical.

Calculations have also shown that each theory requires more than the normal four spacetime dimensions ( although all extra dimensions are in fact spatial ).

Calculations by both John Couch Adams and Urbain Le Verrier predicted the general position of the planet, and Le Verrier's calculations are what led Johann Gottfried Galle to the discovery of Neptune.

Calculations are further complicated by the effects of shadowing and thermal " reillumination ", whether caused by local craters or a possible overall concave shape.

Frogs and lizards are expected to suffer from increased drought. Calculations suggest that the loss of cloud forest in Mexico would lead to extinction of up to 37 vertebrates specific to that region.

Calculations to second, third or fourth order are very common and the code is included in most ab initio quantum chemistry programs.

Calculations of the loss of carbon dioxide from the atmosphere of Mars, resulting from scavenging of ions by the solar wind, are consistent with a near-total loss of its atmosphere since the magnetic field of Mars turned off.

Calculations for the moment of inertia ( MOI ) of a body are not easy in general.

Calculations for lenses producing non-rectilinear images are much more complex and in the end not very useful in most practical applications.

* Calculations with GBM processes are relatively easy.

Calculations that can be proven not to magnify approximation errors are called numerically stable.

Calculations based on this equation are reported in the second paper.

Calculations based on extinction rates suggest that the current extinction rate of amphibians could be 211 times the background extinction rate and the estimate goes up to 25, 039 – 45, 474 times if endangered species are also included in the computation.

Calculations and claims in this area are controversial because of the implications for regulation and subsidization of the industry through tax credits and federally funded research grants.

Calculations are simplified because quantities expressed as per-unit are the same regardless of the voltage level.

Calculations are often repeated at different lattice spacings so that the result can be extrapolated to the continuum,.

Calculations based on tight binding predict that zigzag GNRs are always metallic while armchairs can be either metallic or semiconducting, depending on their width.

Calculations for map projections are performed using the parameters of the ellipsoid.

Calculations of physical quantities ( compression of the seat, required force from the axle ) made in any frame give the same answers, but in some cases calculations are easier to make in a non-inertial frame.

Calculations indicates that seed orchard seeds are still to be expected to a superior alternative to older and more mature seed orchards or stand seeds.

Calculations of gestational age from LMP are sometimes incorrect due to normal variation from the average ovulation date.

Calculations based on available lowland data ( from Innisfail, Cairns and Port Douglas ) would suggest daily rainfalls could have been potentially as high as during a cyclone in 1911-which if accurate would be the highest daily rainfall in the world.

Calculations of UV irradiance based on relationships with total ozone and total irradiance suggest that UV irradiance has increased since the early 1980s by 6-14 % at more than 10 sites distributed over mid-and high latitudes of both hemispheres.

Calculations based on this verse led Joachim of Fiore to predict the Second Coming would occur in the thirteenth century.

Webster published in 1748 his Calculations, setting forth the principles on which his scheme for widows ' pensions was based ; he also wrote a defence of the Methodist movement in 1742, and Zeal for the Civil and Religious Interests of Mankind Commended ( 1754 ).

* June 5 – Calculations indicate Pluto reaches its most recent aphelion ( furthest point from Sun ) on this day ( the next aphelion will occur in August 2113 ).

Calculations for measurements performed on a system S postulate a Hilbert space H over the complex numbers.

Calculations using a quantum-tunneling model predict the existence of several isotopes of ununseptium with alpha-decay half-lives up to over 10 ms, culminating at < sup > 296 </ sup > Uus ( the research ends on < sup > 303 </ sup > Uus ).

Calculations for determining seismic hazard were first formulated by C. Allin Cornell in 1968 and, depending on their level of importance and use, can be quite complex.

* “ Time-Domain Extrapolation to the Far Field Based on FDTD Calculations ” Kane Yee, David Ingham and Kurt Shlager, IEEE Trans.

* “ Time-Domain Extrapolation to the Far Field Based on FDTD Calculations ” Kane Yee, David Ingham and Kurt Shlager, invited paper, Proc.

Calculations performed on the number of dead to the weight of bombs dropped had a profound effect on attitudes of the British government and population in the interwar years, who believed that " The bomber will always get through ".

Calculations made from data from the UK Twike site on August 6, 2007.

Calculations are performed on these objects, as opposed to a range of cells, so adding two time series automatically aligns them in calendar time, or in a user-defined time frame.

Calculations indicate that Venus was eclipsed by the moon for half an hour on 17 February.

" Calculations by Man & Machine: Conceptual analysis " in: Reflections on the Foundations of Mathematics, ( Sieg, Sommer, and Talcott, eds.

Calculations on vote differences between winner of voting area and second place party is done by me for 1999 election.

Calculations on vote differences between winner of voting area and second place party is done by me for 2001 election.

Calculations on vote differences between winner of voting area and second place party is done by me for 2001 election.

Calculations on vote differences between winner of voting area and second place party is done by me for 2001 election.

Calculations were carried out using a yupana ( Quechua for " counting tool "; see figure ) which was still in use after the conquest of Peru.

In the subsequent paper entitled Experiments and Calculations Relative to Physical Optics, published in 1804, Young describes an experiment in which he placed a narrow card ( approx.

The algorithm was named after Nicholas Metropolis, who was an author along with Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller of the 1953 paper Equation of State Calculations by Fast Computing Machines which first proposed the algorithm for the specific case of the Boltzmann distribution ; and W. Keith Hastings, who extended it to the more general case in 1970.

Calculations indicated that repeated air strikes with large bombs could be effective, but required a degree of accuracy which Bomber Command had been unable to attain in the face of enemy defences.

Calculations X 20 which is the same as the one found in the Brain Age Check.

Calculations X 100, which is the same as Calculations X 20, although with 100 questions instead of 20.

Voice Calculation, which is similar to the Calculations puzzles.

He or she may either download Quick Play mode to this player's Nintendo DS, or Calculations X 30, a variation of the other Calculation puzzles which can be played by up to sixteen people.

Fowler had previously developed methods using balanced ternary arithmetic to simplify the complex monetary calculations he was obliged to perform on behalf of the Torrington Poor Law Union in his capacity as its treasurer, which he later published in his book Tables for Facilitating Arithmetical Calculations.

In his book Economic Calculations and Forms of Ownership ( Calcul économique et formes de proprieté ), Bettelheim re-thinks the problems of transition to socialism, while criticizing the supposition that nationalization and state ownership of the means of production was already " socialist "— it is not the legal form of property, but true socialization of the web of production, which characterizes such a transition ; the crucial problem in socialist planning is the replacement of the form of " value " with the development of a method of measurement which takes into account the social utility of production.