In addition, Werner Heisenberg maintained that wave function collapse, " The discontinuous change in the probability function ", takes place when the result of a measurement is registered in the mind of an observer.
42.
Many physicists and philosophers have objected to the Copenhagen interpretation, both on the grounds that it is non-deterministic and that it includes an undefined measurement process that converts probability functions into non-probabilistic measurements.
43.
There may also be some support in the math, as one interpretation of the wave probability function is that it predicts the probability that a wave packet will be in a given universe at a given time.
44.
Other approximations, such as the assumption that the density probability function depends only on the relative distance between the particles or the assumption of the hydrodynamic regime, can also render the BBGKY chain accessible to solution.
45.
Corresponding to the newly constructed logical objects, called conditional events, is a new definition of a probability function, \ hat { P }, based on a standard probability function " P ":
46.
Corresponding to the newly constructed logical objects, called conditional events, is a new definition of a probability function, \ hat { P }, based on a standard probability function " P ":
47.
"QM states that prior to observation, nothing can be said about a physical system other than a probability function which seems to be definable to a degree by assumptions about the system's elements.
48.
The primary works cited which were the book by D . Jeremiah, and the law suit filings by Massengale, with the book S . Unwin being the outline for the way the probability function is used.
49.
Philip Smets introduced them as " pignistic " to stress the fact that those probability functions are based on incomplete data, whose only purpose is a forced decision, e . g . to place a bet.
50.
For example, subatomic physics gets quite messy when electrons are thought of as a quantum probability function, but is far easier to picture when they are thought of as little balls orbiting the atomic nucleus in circular rings.
