Linear Equations - O6U E
... the first being a linear equation in the variables x and y and the second a linear equation in the variables x, y, and z. More generally, we define a linear equation in the n variables x1, x2, …., xn to be one that can be expressed in the form: a1x1 + a2x2 + ….. + anxn = b In the special case where ...
... the first being a linear equation in the variables x and y and the second a linear equation in the variables x, y, and z. More generally, we define a linear equation in the n variables x1, x2, …., xn to be one that can be expressed in the form: a1x1 + a2x2 + ….. + anxn = b In the special case where ...
2(3x+7y=188)
... You then have to plug in the solution you got for the latter variable, y, into the first equation and solve the equation for the original variable, x. ...
... You then have to plug in the solution you got for the latter variable, y, into the first equation and solve the equation for the original variable, x. ...
BKL singularity
A BKL (Belinsky–Khalatnikov–Lifshitz) singularity is a model of the dynamic evolution of the Universe near the initial singularity, described by an anisotropic, homogeneous, chaotic solution to Einstein's field equations of gravitation. According to this model, the Universe is oscillating (expanding and contracting) around a singular point (singularity) in which time and space become equal to zero. This singularity is physically real in the sense that it is a necessary property of the solution, and will appear also in the exact solution of those equations. The singularity is not artificially created by the assumptions and simplifications made by the other well-known special solutions such as the Friedmann–Lemaître–Robertson–Walker, quasi-isotropic, and Kasner solutions.The Mixmaster universe is a solution to general relativity that exhibits properties similar to those discussed by BKL.