They were meant to be representative not mathematical measuring tools. 1 - m2x2 y2 2m2cx a2 - m2c22 4a2x2 y2. The curves were first studied by Descartes in 1637 and are sometimes called the Ovals of Descartes.
In addition to the foci F 1 and F 2 there is a third focus F 3 that is equivalent to each of the first two.
By integration with respect to. Mathematical expression for the Black-body radiation curve If E 2 E 1 the ratio between N 1 and N 2 is 1 2 1 2 exp N E E N kT There exist energy states where their energy values is the same degeneracy in which the population of energy levels can be rewritten as 1 1 1 exp N E A g kT 2 2 2 exp N E A g kT and. When m 1 and n 1 the oval of Descartes becomes an ellipse. Its most basic form as a function of time t is.