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Tracy18
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MHB Continuous, discontinuous and piece-wise function
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The discussion revolves around identifying equations related to continuous, discontinuous, and piece-wise functions. A user expresses confusion about where to start their activity and seeks assistance. Another participant highlights a potential misunderstanding regarding continuity, noting that a function can have infinitely many points of continuity. They suggest that the activity may require identifying specific points of continuity among break points. Clarification on the types of discontinuities is also requested, indicating a need for foundational understanding in the topic.
- #2
Prove It
Gold Member
MHB
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Have you tried anything?
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Tracy18
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Nope I don't know where to stat
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What are the three types of discontinuites?Tracy18 said:
-Dan
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HOI
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It is very strange that this says "should have two continuous point(s)". This function will necessarily have infinitely many points of continuity! I presume it means that two of the five break points are to be points of continuity.
Obviously, there is something elementary I am missing here.
To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix
in the real plane; taking the transpose we get
which then corresponds to a-bi...
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