While the equation is definitely superior to the ideal gas law and does predict the formation of a liquid phase, the agreement with experimental data is limited for conditions where the liquid forms.

While the van der Waals equation is commonly referenced in text-books and papers for historical reasons, it is now obsolete.

While superior to the van der Waals equation of state, it performs poorly with respect to the liquid phase and thus cannot be used for accurately calculating vapor-liquid equilibria.

While numerous theories and principles are related to the Fermi paradox, the most closely related is the Drake equation.

While studying these languages, Abel published his first notable work in 1824, Mémoire sur les équations algébriques où on démontre l ' impossibilité de la résolution de l ' équation générale du cinquième degré ( Memoir on algebraic equations, in which the impossibility of solving the general equation of the fifth degree is proven ).

While linear, this equation has a more complex form than the equations given above, as it must account for both longitudinal and transverse motion:

While the complex form has an imaginary component, after the necessary calculations are performed in the complex plane, its real value can be extracted giving a real valued equation representing an actual plane wave.

While precise calculation of positronium energy levels uses the Bethe-Salpeter equation, the similarity between positronium and hydrogen allows for a rough estimate.

While de Broglie – Bohm theory has Lagrangians and Hamilton-Jacobi equations as a primary focus and backdrop, with the icon of the quantum potential, Bohmian mechanics considers the continuity equation as primary and has the guiding equation as its icon.

While the 1 drops out of this equation, it is important to note that the number X is divided by is the value of the lower decade line.

The above equation is known as the fundamental thermodynamic relation, for which the independent variables are taken as S and V, with respect to which T and P are partial derivatives of U. While this has been derived for quasistatic changes, it is valid in general, as U can be considered as a thermodynamic state function of the independent variables S and V.

While the same equation applies to projectiles fired uphill, the interpretation is more complex as sometimes the uphill range may be shorter or longer than the equivalent range along level terrain.

While still a student, Ambartsumian thoroughly studied the theory of atomic structure, the formation of energy levels, and the Schrödinger equation and its properties, and when he mastered the theory of eigenvalues of differential equations, he pointed out the apparent analogy between discrete energy levels and the eigenvalues of differential equations.

While sharing an office at Brookhaven National Laboratory, in 1954, Chen Ning Yang and Mills proposed a tensor equation for what are now called Yang-Mills fields.

While the ordinary Schrödinger equation does not admit advanced solutions, its relativistic version does, and these advanced solutions are the ones used by TIQM.

While in theory all stars or other " point sources " of a given wavelength and seen through a given aperture have the same Airy disk radius characterized by the above equation ( and the same size diffraction pattern ), differing only in intensity ( the " height " of the surface plot at upper right ), the appearance is that fainter sources appear as smaller disks, and brighter sources appear as larger disks.

While still a student Hambardzumyan was very much interested in quantum physics, and thoroughly studied the theory of atomic structure, the formation of energy levels, and Schroedinger's equation and its properties, and when he mastered the theory of eigenvalues of differential equations, he pointed out the apparent analogy between discrete energy levels and the eigenvalues of differential equations.

While B < sub > o </ sub > in the previous equation is mass-independent, it is not explicitly independent of temperature.

While stressing there can be no equation between genocide and war crimes, Alison Des Forges of Human Rights Watch says RPF leaders do have a case to answer.

While the choice of which variables to include in each equation was partly guided by economic theory ( for example, including past income as a determinant of consumption, as suggested by the theory of adaptive expectations ), variable inclusion was mostly determined on purely empirical grounds.

While homogeneous equations are relatively easy to solve, this method allows the calculation of the coefficients of the general solution of the inhomogeneous equation, and thus the complete general solution of the inhomogeneous equation can be determined.

While Grothendieck was at the IHÉS, opposition to the Vietnam War was heating up, and Cartier suggests that this also reinforced Grothendieck's distaste at having become a mandarin of the scientific world.

While John the Baptist's use of a deep river for his baptism suggests immersion, pictorial and archaeological evidence of Christian baptism from the 3rd century onward indicates that a normal form was to have the candidate stand in water while water was poured over the upper body.

While there is not a large body of academic work examining the relationship, Hironaka's statistical study found a correlation that suggests that every major international anti-secessionist declaration increased the number of ongoing civil wars by + 10 %, or a total + 114 % from 1945 to 1997.

While the representativeness heuristic and other cognitive biases are the most commonly cited cause of the gambler's fallacy, research suggests that there may be a neurological component to it as well.

While numerous subspecies of the jaguar have been recognized, recent research suggests just three.

While the tip of the beak is not known in this specimen, the level of curvature suggests it would have been extremely long.

While Plato's condemnation of rhetoric is clear in the Gorgias, in the Phaedrus he suggests the possibility of a true art wherein rhetoric is based upon the knowledge produced by dialectic, and relies on a dialectically informed rhetoric to appeal to the main character: Phaedrus, to take up philosophy.

While Hardin recommended that the tragedy of the commons could be prevented by either more government regulation or privatizing the commons property, subsequent Nobel Prize-winning work by Elinor Ostrom suggests that handing control of local areas to national and international regulators can create further problems .< ref name =" non-tragedy ">

While there, they encounter veteran gunslinger, Chris ( Yul Brynner ); after listening to their tale, Chris suggests that the village hire more gunfighters as they would be cheaper than guns and ammunition.

While there has been some debate as to whether all three lineages are monophyletic, i. e. descended from a single ancestor, or diphyletic, recent genetic evidence suggests all three descended from a caniform ancestor most closely related to modern bears.

While Dollo's Law suggests that the loss of function in pseudogenes is likely permanent, silenced genes may actually retain function for several million years and can be " reactivated " into protein-coding sequences and a substantial number of pseudogenes are actively transcribed.

While the name spank skirt suggests that the wearer could be spanked " bare bottom " without removing or repositioning the skirt, this item may be worn for reasons other than spanking ( for instance, exposure ).

While the chicken noodle soup, as the name suggests, has some noodles in it, quite often Baeksuk does not contain any noodles.

While this suggests that the resource will be used up more quickly, in reality, the production curve is much more akin to a bell curve.

While it is not completely clear whether the aggregates are the cause or merely a reflection of the loss of protein homeostasis, the balance between synthesis, folding, aggregation and protein turnover, the recent European Medicines Agency approval of Tafamidis or Vyndaqel ( a kinetic stabilizer of tetrameric transthyretin ) for the treatment of the transthyretin amyloid diseases suggests that it is the process of amyloid fibril formation and not the fibrils themselves that causes the degeneration of post-mitotic tissue in human amyloid diseases.

* While legend suggests that Cleopatra, the last queen of Egypt was killed by a snake bite, many historians actually believe that she committed suicide by swallowing a lethal drug cocktail made of opium, Aconitum, and hemlock, a highly poisonous plant from the parsley family.

While there may well have been some religious prostitution centred around the temples of Inanna / Ishtar, Assante suggests that the concept of the ' Sacred Marriage ' hieros gamos has in fact been misunderstood.

While the term " spontaneous human combustion " was not yet created, Brown includes a footnote at the end of chapter 2 that suggests the phenomenon and its existence in 18th century medical studies.

While Dave turns out to be less naive than his youthful appearance suggests, he never fully gains control of his co-workers.

In an article by Peterson and Simkus, they state, " While the evidence of the first half of this century suggests strong links between social status and cultural taste, there is growing evidence that there is no longer a one-to-one correspondence between taste and status group membership in advanced postindustrial societies like the United States.

* Scream 3 ( cameo ) ( Note: While their appearance in Scream 3 suggests that the Scream series and the View Askewniverse are on the same plane of existence, other factors may contradict this ; in the first Scream film, a VHS tape of Clerks is shown in the background ; also, in Jay and Silent Bob Strike Back, Jay and Silent Bob see the filming of the then fictional Scream 4.

While many sources uses the terms stream of consciousness and interior monologue as synonyms, the Oxford Dictionary of Literary Terms suggests, that " they can also be distinguished psychologically and literarily.

While evidence suggests human occupation as far back as 500 BC, the first maps of the area date to 1542, when it was labeled " Las Islas Sabines " by a Spanish cartographer.

While Manetho names Necherophes and the Turin King List names Nebka as the first ruler of the Third dynasty, many Egyptologists now believe Djoser was first king of this dynasty, pointing out that the order in which some predecessors of Khufu are mentioned in the Papyrus Westcar suggests Nebka should be placed between Djoser and Huni, not before Djoser.