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If $a,b,c$ are rational numbers and $a\sqrt2+b\sqrt3+c\sqrt5=0$, show that $a=b=c=0$

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#real-numbers
175
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Least Upper Bound of Rational Numbers

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#real-numbers #supremum-and-infimum #rational-numbers
553
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Can a scalar-valued function or a vector-valued function ever not be a real-valued function?

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#multivariable-calculus #real-numbers
920
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Are uncomputable numbers a subset of real numbers?

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#complex-numbers #real-numbers #computability
243
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Dedekind Cuts and Rationals

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#real-numbers #rational-numbers
390
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Proof Verification: Tao, Analysis I: Lemma 5.3.14.

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#real-analysis #proof-verification #real-numbers
61
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Question about zero in the construction of real numbers

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#real-analysis #definition #real-numbers
345
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is $\frac{0}{0}$ indeterminate or undefined?

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#definition #real-numbers #indeterminate-forms
177
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Representation theory , $\mathbb{R}$?

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#representation-theory #real-numbers
46
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If for each neighborhood $U$ of $x_0$ there exists $x\in U$ such that $f(x)=f(x_0)$, then $f'(x_0)=0$ or $f'(x_0)$ does not exist.

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#analysis #real-numbers
74
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Show that if $x$ and $y$ are real numbers such that $0<x<1$ and $0<y<1$

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#real-analysis #inequality #real-numbers
147
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Understanding Content in Baby Rudin

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#real-analysis #real-numbers #irrational-numbers #supremum-and-infimum #rational-numbers
83
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Prove that for any $x$ and $y:0<x<y< 1,\; \frac xy > x$

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#proof-verification #real-numbers
247
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Irrational number and real number definition

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#real-numbers #irrational-numbers #square-numbers
660
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What are superreal numbers?

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#real-numbers

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