List questions from real-numbers

Published on 10 May 2026 - 17:13

206

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Is $\mathbb Q$ a quotient of $\mathbb R[X]$?

Published on 11 May 2026 - 2:52

48

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Rules for factors of a composite number

Published on 09 Apr 2026 - 12:26

1.3k

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Find the maximum value of $2x^2 - 3xy - 2y^2$ subject to the condition that $25x^2 - 20xy + 40y^2 = 36$

Published on 15 Apr 2026 - 15:55

62

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How show that the sums equal?

Published on 14 Apr 2026 - 7:24

103

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Is $|P(\mathbb{N})| = |\mathbb{R}|$?

Published on 24 Apr 2026 - 12:53

35

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Can I define a function randomly

Published on 08 Apr 2026 - 21:50

102

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How to show that $\lim_{x\to 0} (1+x)^{1/x}$ is same as $\lim_{x\to +\infty} (1+1/x)^{x}$?

Published on 10 May 2026 - 19:52

248

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Find the value of $\frac{4x}{y+1} + \frac{16y}{z+1} + \frac{64z}{x+1}$

Published on 16 Apr 2026 - 5:40

240

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Proof that the set of Natural numbers are equal to the Real numbers

Published on 11 May 2026 - 3:13

408

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Clarification needed with Rudin Theorem 1.11

Published on 13 Apr 2026 - 14:54

4k

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Confusion about Tao's construction of reals

Published on 11 Apr 2026 - 22:00

67

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Can a standard topological space be constructed from a closed subset in $\mathbb{R}^n$?

Published on 12 Apr 2026 - 21:24

239

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$n$ as an integer and a real number

Published on 11 May 2026 - 7:16

43

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How to prove that for $0 < a \leq 1$ and $a \not = 1/n$ there exists the maximal $k$ s.t $k\cdot a < 1$

Published on 14 Apr 2026 - 16:47

List Question

How to Calculate Irrational Numbers

Is $\mathbb Q$ a quotient of $\mathbb R[X]$?

Rules for factors of a composite number

Find the maximum value of $2x^2 - 3xy - 2y^2$ subject to the condition that $25x^2 - 20xy + 40y^2 = 36$

How show that the sums equal?

Is $|P(\mathbb{N})| = |\mathbb{R}|$?

Can I define a function randomly

How to show that $\lim_{x\to 0} (1+x)^{1/x}$ is same as $\lim_{x\to +\infty} (1+1/x)^{x}$?

Find the value of $\frac{4x}{y+1} + \frac{16y}{z+1} + \frac{64z}{x+1}$

Proof that the set of Natural numbers are equal to the Real numbers

Clarification needed with Rudin Theorem 1.11

Confusion about Tao's construction of reals

Can a standard topological space be constructed from a closed subset in $\mathbb{R}^n$?

$n$ as an integer and a real number

How to prove that for $0 < a \leq 1$ and $a \not = 1/n$ there exists the maximal $k$ s.t $k\cdot a < 1$

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