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The discriminant Δ of the cubic is the square of = () (), where a is the leading coefficient of the cubic, and r 1, r 2 and r 3 are the three roots of the cubic. As Δ {\displaystyle {\sqrt {\Delta }}} changes of sign if two roots are exchanged, Δ {\displaystyle {\sqrt {\Delta }}} is fixed by the Galois group only if the Galois group is A 3 .
This translates to a hoppus foot being equal to 1.273 cubic feet (2,200 in 3; 0.0360 m 3). The hoppus board foot, when milled, yields about one board foot. The volume yielded by the quarter-girth formula is 78.54% of cubic measure (i.e. 1 ft 3 = 0.7854 h ft; 1 h ft = 1.273 ft 3). [42]
Volume was measured in ngogn (equal to 1000 cubic potrzebies), mass in blintz (equal to the mass of 1 ngogn of halva, which is "a form of pie [with] a specific gravity of 3.1416 and a specific heat of .31416"), and time in seven named units (decimal powers of the average earth rotation, equal to 1 "clarke").
The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...
Change in volume with increasing ethanol fraction. The molar volume of a substance i is defined as its molar mass divided by its density ρ i 0: , = For an ideal mixture containing N components, the molar volume of the mixture is the weighted sum of the molar volumes of its individual components.
The cubic-plus-chain (CPC) [28] [29] [30] equation of state hybridizes the classical cubic equation of state with the SAFT chain term. [21] [22] The addition of the chain term allows the model to be capable of capturing the physics of both short-chain and long-chain non-associating components ranging from alkanes to polymers. The CPC monomer ...
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Cubic decimetre the volume of a cube of side length one decimetre (0.1 m) equal to a litre 1 dm 3 = 0.001 m 3 = 1 L (also known as DCM (=Deci Cubic Meter) in Rubber compound processing) Cubic centimetre [5] the volume of a cube of side length one centimetre (0.01 m) equal to a millilitre 1 cm 3 = 0.000 001 m 3 = 10 −6 m 3 = 1 mL Cubic millimetre