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Elementary question (definitions): Is there a smallest real number strictly greater than zero?

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#real-analysis #real-numbers
296
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Inequality Proof in Real Numbers: If $p+q=1$ then $pq\le\frac14$

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#algebra-precalculus #inequality #real-numbers #maxima-minima
119
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# of intervals between irrational numbers

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#elementary-set-theory #real-numbers
149
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To prove or disprove existence of a continuous function $f$ on $\mathbb R$ satisfying $f(x)\in\mathbb Q$ iff $f(x+1)\in\mathbb R\setminus\mathbb Q$

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#real-analysis #real-numbers
786
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Proving that a sequence converges to L

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#real-analysis #proof-verification #proof-writing #proof-explanation #real-numbers
96
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Where is this function continuous/differentiable?

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#real-analysis #sequences-and-series #analysis #derivatives #real-numbers
144
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Where am I making a mistake in showing that countability isn't a thing?

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#functional-analysis #elementary-set-theory #definition #real-numbers #irrational-numbers
126
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Show that the inequality is valid for infinite terms of a sequence

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#real-analysis #sequences-and-series #inequality #real-numbers
114
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Where does $x$ belong to?

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#sequences-and-series #complex-numbers #real-numbers #infinity
106
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Real solution of equations of 2018

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#number-theory #algebraic-number-theory #analytic-number-theory #real-numbers #irrational-numbers
2.4k
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Why does $f(x)=x$ not have a maximum on open interval $(0,1)$?

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#calculus #real-analysis #real-numbers
512
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Equation System with 4 real variables

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#linear-algebra #polynomials #systems-of-equations #real-numbers #symmetric-polynomials
5.7k
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Definition of Coprime

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#contest-math #definition #real-numbers #coprime
93
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Non-aritho geometric series

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#sequences-and-series #arithmetic #real-numbers
179
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$\mathbb{R}$ with usual $+$, but not multiplication

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#field-theory #real-numbers

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