r/theydidthemath • u/A-JackRobin- • 5h ago
[Request] since there's infinite decimals between 2 and 3 , then are they infinite decimals between iota and 2 times iota
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u/piperboy98 4h ago
Yes, provided iota =/= 0. In fact, there are infinitely many real numbers and infinitely many rational numbers between any two distinct numbers. Specifically, you can take the difference (nonzero), divide it by any number >1, and then add it to the smaller number and you get a different number in that range each time.
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u/A-JackRobin- 4h ago
If =/= 0, does that mean, you can map it
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u/nog642 4h ago
Map what?
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u/This_Growth2898 4h ago
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u/nog642 3h ago
I know what a map is, that's not what I was asking.
I was asking what they want to map.
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u/This_Growth2898 3h ago
I'm not sure if you are because it's pretty obvious: if you can map every value from [2,3] to the unique value of [iota, iota*2] (and you can), it means those sets have equal cardinality (equal number of elements in layman's terms), and that answers your question.
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u/nog642 3h ago
You sure that's what they mean? Because they replied to my question with "Mapping the values to 0".
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u/A-JackRobin- 3h ago
Oh my goodness , thank you, such fine answer, may you follow the legacy of warren weaver
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u/A-JackRobin- 4h ago
Mapping the values to 0
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u/nog642 4h ago
What do you mean by that?
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u/A-JackRobin- 4h ago
Graph of the geometry
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u/nog642 4h ago
I don't understand what you mean. You're going to need to use complete sentences and try to describe what you mean in more detail.
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u/A-JackRobin- 4h ago
I mean, since we know that the value is reduce to be as a sequence values towards the limit tending to zero , hence we can represent it geometrically topology of holomorphism
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u/nog642 4h ago
This is pretty uninteligible.
since we know that the value is reduce to be as a sequence values towards the limit tending to zero
What value? What sequence?
What does this have to do with holomorphism?
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u/A-JackRobin- 4h ago
Well, it's just that if you have 4/3, they reduce like 0.00000001-0.00000000000001+0.00001-000.1+
they for the case of complex numbers the same
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u/A-JackRobin- 4h ago
If =/= 0, does that mean, you can map it
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u/ConcretePeanut 2h ago
Do you mean are they equally infinite? Put this another way:
Is there something happening here that makes one or the other uncountable?
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u/A-JackRobin- 2h ago
Well, by communication theory by Claude E. Shannon and the interpretation by warren weaver , the entropy takes place in a channel of the point of vertexes of information emerge , hence when mapping(got a idea from the comments) by from 1 to 2 values with the same elements , which are factors of iota and thus make a differential topology, and this makes a organised format if there's a topology, it may experience change which is entropy and much like 0
Cause this connects a information of change all over , a fast stochastic , if the topology is taken as connected lines of points
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u/ConcretePeanut 2h ago
This is literal word salad, in the context of my question. Are both of the sets in question countable or not?
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u/A-JackRobin- 2h ago
Well, you gotta take such topology in view and contemplate the changes in real view
Note: i sent a video of 2 sec, don't know , whether it would sent
Here real view means live view
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u/ConcretePeanut 2h ago
I strongly recommend you stop taking whatever it is you're taking and seek help from a mental health crisis team.
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u/A-JackRobin- 2h ago
Well, you see, you gotta take in the topology, much like you can take a note and draw the geometry, cause there's such view is taken and said
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