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grav-universe
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Can someone determine what this iteration works out to, where x' becomes x again each time, starting with x=1 and a and b are variables?
x' = (1 + x) / (b (1 + x) + a)
x' = (1 + x) / (b (1 + x) + a)
grav-universe said:Can someone determine what this iteration works out to, where x' becomes x again each time, starting with x=1 and a and b are variables?
x' = (1 + x) / (b (1 + x) + a)
Yes, thanks, but it doesn't seem to work out that way.chiro said:This looks like it is going to be some kind of continued fraction, but it might end up simplifying to be something less complicated. Are you aware of continued fractions?
In order to determine what an iteration works out to, you must first understand the concept of an iteration. An iteration is a repetitive process that uses a set of instructions to generate a sequence of values. To determine what an iteration works out to, you would need to follow the instructions and track the sequence of values until the iteration reaches its stopping point.
The purpose of finding out what an iteration works out to is to understand the behavior and outcome of a repetitive process. This information can be used to analyze and improve the process, or to make predictions about future values in the sequence.
No, it is not possible to determine what an iteration works out to without knowing the initial value. The initial value is a crucial factor in the process and without it, the sequence of values will not be accurate. It is important to have all necessary information in order to accurately determine what an iteration works out to.
There is no one specific formula or method to determine what an iteration works out to. It depends on the specific instructions and stopping point of the iteration. However, there are common mathematical and logical principles that can be applied to analyze and determine the outcome of an iteration.
In some cases, it may be possible to predict the outcome of an iteration before it reaches its stopping point. This depends on the complexity and randomness of the process. With simple and predictable instructions, it may be possible to make accurate predictions. However, with more complex and unpredictable instructions, it may not be possible to accurately predict the outcome.