
Regents Pathways - Think Through Math
... Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f i ...
... Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f i ...
6 Basic Trig Functions
... Trig functions of any angle can be found by finding the trig functions of the reference angle, taking into account whether the sides are positive or negative. In the special case where the hypotenuse (radius) of the reference triangle is 1, we can see that the x-coordinate exactly corresponds to the ...
... Trig functions of any angle can be found by finding the trig functions of the reference angle, taking into account whether the sides are positive or negative. In the special case where the hypotenuse (radius) of the reference triangle is 1, we can see that the x-coordinate exactly corresponds to the ...
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.