She was the last to lose hope, and it was being forced to see how out of place she was in Gabriel's equation that finally broke her resolve.
"Spoken like someone on the other end of the equation," she said, offended by his casual dismissal.
He'd asked her if she'd take herself out of the equation before she hurt Gabriel.
"Andre never factored Darkyn into the equation," Kris said.
Riccati's name is best known in connexion with his problem called Riccati's equation, published in the Ada Eruditorum, September 1724.
Equation (3), § I expresses the fundamental condition which must be satisfied when a locomotive is starting a train.
Thus if concentrated instead of dilute sulphuric acid acts upon zinc, the action takes place to a great extent not according to the equation given above, but according to the equation Zn +2H 2 SO 4 = ZnS04+S02+2 H20, sulphur dioxide and water being produced instead of hydrogen.
Again, the equation [2N, 0] =-18500 cal.
Like Berthelot, he writes the chemical equation of the reaction, but in addition he considers the chemical formula of each substance to express not only its material composition, but also the (unknown) value of its intrinsic energy.
Would give negative, surd or imaginary values; Diophantus then traces how each element of the equation has arisen, and formulates the auxiliary problem of determining how the assumptions must be corrected so as to lead to an equation (in place of the "impossible" one) which can be solved rationally.
In general his object is to reduce the final equation to a simple one by making such an assumption for the side of the square or cube to which the expression in x is to be equal as will make the necessary number of coefficients vanish.
The anomaly AFQ of Q at any moment is called the mean anomaly, and the angle QFP by which the true anomaly exceeds it at that moment is the equation of the centre.
The solution may be worked out directly or through the determination of the equation of the centre which, being added to the mean anomaly, gives the true anomaly.
Thus, the equation 2112+02 =2H20 not only represents that certain definite weights of hydrogen and oxygen furnish a certain definite weight of the compound which we term water, but that if the water in the state of gas, the hydrogen and the oxygen are all measured at the same temperature and pressure, the volume occupied by the oxygen is only half that occupied by the hydrogen, whilst the resulting water-gas will only occupy the same volume as the hydrogen.
This equation does not give us the value of the unknown factor but gives us a ratio between two unknowns.