Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and...

Al-Muʿādalāt (Treatise on Equations), which dealt with eight types of cubic equations with positive solutions and five types of cubic equations which may not have...

of equations of state, and was the starting point of cubic equations of state, which most famously continued via the Redlich–Kwong equation of state and...

modifying the equation in numerous ways (by one account there have been some 400 cubic equations of state produced) to manage the liquids, and gases of pure substances...

for nonpolar systems with cubic equations of state: a theoretical approach 1. CO2/hydrocarbons using SRK equation of state". Fluid Phase Equilibria. 102...

VTPR is a group contribution equation of state. This is class of prediction methods combine equations of state (mostly cubic) with activity coefficient...

Birch Francis Dominic Murnaghan Murnaghan equation of state Birch, Francis (1947). "Finite Elastic Strain of Cubic Crystals". Physical Review. 71 (11): 809–824...

model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the density. This equation may...

order to enhance the accuracy of the evaluating thermodynamic properties. Cubic equations of state refer to the group of thermodynamic models that can...

of Chemical Engineering at the University of Saskatchewan. Under the direction of Donald B. Robinson, Peng introduced a two-parameter cubic equation of...

The Friedmann equations, also known as the Friedmann–Lemaître (FL) equations, are a set of equations in physical cosmology that govern cosmic expansion...

equilibrium Equation of state Wong, D. S. H. & Sandler, S. I. (1992). "A theoretically correct mixing rule for cubic equations of state". AIChE Journal...

they are predicted by the van der Waals equation, and cubic equations in general, is compelling evidence of its efficacy in describing phase transitions;...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

Wilhelm Killing. Cardano's formula, the solution to general cubic equations. Cardano stated that it was discovered by Scipione del Ferro, who passed the...

solutions of the quadratic equation a x 2 + b x + c = 0. {\displaystyle ax^{2}+bx+c=0.} There exist algebraic solutions for cubic equations and quartic...

{\text{and}}\quad \left[P_{c}\right]=bar} The cubic equation of state (EOS) are very popular equations that are sufficiently accurate for most industrial...

root of x2 + x + a in F16. This is a special case of Artin–Schreier theory. Solving quadratic equations with continued fractions Linear equation Cubic function...

with cubic equations of state for describing the dispersive-repulsive interactions, for example in the Cubic-Plus-Association (CPA) equation of state model...

The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

this time he also did work with cubic equations of state (EOS), he was one of the first to modify the alpha form of the Redlich-Kwong EOS to better represent...

Al-Mu'adalat (Treatise on Equations), which dealt with eight types of cubic equations with positive solutions and five types of cubic equations which may not have...

Standard cubic feet per minute (SCFM) is the molar flow rate of a gas expressed as a volumetric flow at a "standardized" temperature and pressure thus...

formula of the quartic equations in 1540. His solution is based on the closed-form formula of the cubic equations, thus had to wait until the cubic formula...

unity for increasing levels of non-ideality. Several non-ideal models exist, from the simplest cubic equations of state (such as the Van der Waals and...

around the time of the First Crusade. As a mathematician, he is most notable for his work on the classification and solution of cubic equations, where he provided...

called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many...

order to solve all forms of cubic equation. A further step was the 1770 paper Réflexions sur la résolution algébrique des équations by the French-Italian...

systematic solution of cubic or third-order equations, going beyond the Algebra of al-Khwārizmī. Khayyám obtained the solutions of these equations by finding the...

have fewer equations than unknowns and involve finding integers that solve all equations simultaneously. Because such systems of equations define algebraic...