Take for instance the irrational number represented by 22 divided by 7.
The "pattern" is continuing to divide by 7, to any arbitrary level of precision.
The concept of infinity only suggests a pattern that potentially repeats forever, because no apparent reason exists for it to halt in the future.
If the universe were finite, the actual stopping point of a sequential pattern of numbers would be a rational number that no longer transforms under...
If you want to know more about computer representations of real numbers, check out this Wikipedia article about floating point arithmetic:
https://en.m.wikipedia.org/wiki/Floating-point_arithmetic
If one wanted to measure the total number of possible time intervals one could use to sample the size of the physics users on the forums, would that be a finite value or an infinite value?
If a person needed to measure the number of people on the forum at any given time, it would be a discrete value since there is a finite set of people at any given time.
Do you agree with this proposition?
I already have a concurrence relationship between the information online and my understanding of the question.
At the moment, the only thing indefinite about your response is your understanding relative to my own.
Are we talking about the same stuff or is there a fundamental misunderstanding...
In order to choose one's model of mathematical reasoning to establish a proof, doesn't one need a shared axiomatic understanding of infinity?
For instance, data measurement within a discrete mathematical model can be defined to a finite level of precision, whilst data measurement within a...
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Real-time Needle Steering...
Thank you, I see what you mean. I was attempting to use the word "pattern" to describe ways to calculate the limit, such as a series that telescoped. But you are of course correct - "the limit, as n grows large, of the sequence of partial sums" is much more precise.
Yes, that makes sense. I was not properly understanding the terminology differences between partial sums and series.
The partial sum is the addition of every part of the series from the lowest bound to some particular finite upper bound. The limit to which the series converges is based upon...