Hyperbola equilateral

Equation (16.13) implies that all the points in the x-O-y plane, for which y — x define the asymptotes of the equilateral hyperbola, are at the same potential. The field lines are orthogonal to equipotential curves, which implies that for each point A/Xyz inside the quadrupole, the value of the electrical field will be ... 

BOYLE S LAW. This law, attributed to Robert Boyle (1662) but also known as Mariottc s law, expresses the isothermal pressure-volume relation for abody of ideal gas. That is, if the gas is kept at constant temperature, the pressure and volume are in inverse proportion, or have a constant product. The law is only approximately true, even for such gases as hydrogen and helium nevertheless it is very useful. Graphically, it is represented by an equilateral hyperbola (see Fig. I). If the temperature is not constant, the behavior of die ideal gas must be expressed by die Boyle-Charles law. 

Fig. 1. Equilateral hyperbola representing Boyle s law. The rectangular areas (PV) are all equal...

Tq and Tj become more and more numerous and nearer and nearer together, all the points on this broken line approach the points of the arc Afof the equilateral hyperbola CC The limit of the sum 2 therefore measures the area included between the straight line T T, the two ordinates and TM, and the arc MJM of the equilateral hyperbola. 

Expression 16.13 implies that in all xy-planes the points having the same potential are situated on the branches of an equilateral hyperbola of which the asymptotes are the straight lines y = x. The field lines are orthogonal to the equipotential curves for each point of the space inside the quadrupole. This field has the value ... 

The data have been fitted using the equilateral hyperbola equation. The calculated equation fits the... 

Two general classes of methods are considered. The first is semlempirical models in which equations that describe the data on either critical or safe arrays in terms of some selected set of array parameters are written. Most of these methods (as, for example, the density analog technique) are directly based on comparing arrays to single units, to addition to the density analog, these models include the surface density and equilateral hyperbola techniques. The second Is array unit interaction models, which are based on equations written to describe the neutron balance for each unit. The solution... 

Array Model KENO NBn Albedo interaction Potentlalt Weighted Interaction Density Analog Surface Density Equilateral Hyperbola Solid Angle... 

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