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How to prove $\frac 10 \notin \mathbb R $

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#calculus #real-analysis #real-numbers
173
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Possible Error in Dedekind Construction of Stillwell's Book

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#proof-verification #real-numbers
131
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Is the professor wrong? Simple ODE question

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#ordinary-differential-equations #vector-spaces #real-numbers #periodic-functions
76
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Concept of bounded and well ordered sets

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#real-numbers
83
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Why do I need boundedness for a a closed subset of $\mathbb{R}$ to have a maximum?

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#real-analysis #elementary-set-theory #examples-counterexamples #real-numbers #maxima-minima
341
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Prove using the completeness axiom?

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#real-analysis #real-numbers #supremum-and-infimum
174
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Does $\mathbb{R}$ have any axioms?

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#real-analysis #real-numbers #axioms
99
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slowest integrable sequence of function

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#real-analysis #functions #convergence-divergence #real-numbers
55
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cluster points of sub-sequences of sequence $\frac{n}{e}-[\frac{n}{e}]$

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#real-analysis #real-numbers
357
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comparing sup and inf of two sets

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#real-analysis #proof-verification #examples-counterexamples #real-numbers #supremum-and-infimum
145
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Metric and imperial units, are the calculations correct?

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#calculus #functions #real-numbers
57
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Condition for rationality of $\frac{ar + b}{cr + d}$ with $r$ irrational

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#number-theory #real-numbers
264
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Continuity axioms and completness axioms for real numbers are the same things?

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#calculus #real-analysis #real-numbers #axioms
75
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Density of a real subset $A$ such that $\forall (a,b) \in A^2, \ \sqrt{ab} \in A$

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#real-analysis #real-numbers #irrational-numbers
12.5k
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Why the square root of any decimal number between 0 and 1 always come out to be greater than the number itself?

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#algebra-precalculus #real-numbers #decimal-expansion

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