many fields of mathematics or hundreds reason thousands of years old
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the mathematical features the operator algebra theory can be expressed in three were impolite topology
noncommunicative it
but it means object has an infinite size and this results in various mysterious phenomena
the daughter rise and a finite world also operator algebra theory we don't exclude the
infinite major projects as being topological
instead we try to obtain using various tools and that's
the most powerful tool is our second keyword topology
it operator eligible here
try to control infinity using knowledge which varies depending on situations different apology easily different
concepts
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non cumulative it expresses the phenomenon we're considering a product in different order changes the
results
in ordinary arithmetic products don't dependent order
but for this product may well depend on a word like matrix multiplication
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that hilbert hotel has an infinite number of room
even if that's all but a new customer rise the hotel can move the person
state in room one to room to the person sitting room to room three and
so on to make room winemaking
using this method
even if it into the number you customers alright the hotel attunement against room one
room to the guest room to
you guessed in room three rooms six
i guess the room for room eight
and the guest in room and to an making all odd number of rooms bacon
so an infinite number of people can stay
research students in the cost so they can also study the relationship between tiling in
see star algebra and tackle many topics in set theory in large
in this way the group words open up new frontiers in mathematics
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