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 are ultimately based on determining which events are simultaneous.

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 of the addresses ( such as base + index ) were less expensive because they were performed by a special unit in the 286.

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

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

Calculations in celestial mechanics can also be carried out using the unit of solar mass rather than the standard SI unit kilogram.

Calculations using a quantum-tunneling model predict the existence of several neutron-rich isotopes of ununoctium with alpha-decay half-lives close to 1 ms.

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 according to the Hartree-Fock-Bogoliubov Method using the non-relativistic Skyrme interaction have proposed Z = 126 as a closed proton shell.

Calculations using HDD have several problems.

Calculations of electron affinities using this statement of Koopmans ' theorem have been criticized on the grounds that virtual ( unoccupied ) orbitals do not have well-founded physical interpretations, and that their orbital energies are very sensitive to the choice of basis set used in the calculation.

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.

Calculations showed that the yield of the device would be between 0 ( if it did not work ) and 20 kilotons of TNT.

Calculations showed that the fallout from each takeoff would kill between 1 and 10 people ( a claim that has been disputed: see radiation hormesis ).

* Calculations and comparisons between the geometric mean and the arithmetic mean

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

Calculations of the lower excited levels of benzene by Sklar in 1937 ( with the valence bond method ) and later in 1938 by Goeppert-Mayer and Sklar ( with the molecular orbital method ) demonstrated a correspondence between the theoretical predictions and experimental results of the benzene spectrum.