Why is this not a space-filling curve?
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Why is this not a space-filling curve?

From Wikipedia, a space-filling curve is a curve (i.e. a continuous function whose domain is the unit interval $[0,1]$) whose range contains the entire 2-...

Published: Sep 01, 2026

Series expansion of square root function
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Series expansion of square root function

Could I please know how to expand: $$\sqrt{4-3x^2}$$ I simplified it to $\sqrt{1-\frac34x^2}$ but the question is if I let $x = x^2$, what will the coeffi...

Published: Sep 01, 2026

Roots of unity?
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Roots of unity?

The $n$th roots of unity are the complex numbers: $1,w,w^2,...,w^{n-1}$, where $w = e^{\frac{2\pi i} {n}}$. If $n$ is even: The $n$th roots are plus-minus...

Published: Sep 01, 2026

How to prove that this simple graph does not exist?
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How to prove that this simple graph does not exist?

Show that there is no simple graph with 6 vertices in which there are 5 vertices having following degrees 5,5,3,2,1 So, we have 5 vertices (=odd number of...

Published: Sep 01, 2026

Finding a general term for the sequence
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Finding a general term for the sequence

Find a general term in simplest form for the sequence: $$2, 1, -4, 7, -10, 13, -16$$ This is what I tried: $a_n = a_1 + (n - 1)\cdot d$ $a_n = 2 + (n-1)\c...

Published: Sep 01, 2026

Need help in understanding how to find an elementary matrix
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Need help in understanding how to find an elementary matrix

I read this chapter in my book and thought I understood it, but I don't. I tried working a problem to test my understanding and I just don't kno...

Published: Sep 01, 2026

Saw Horses with legs 26
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Saw Horses with legs 26" in height

I am building sawhorses with each end cut at a $14^{\circ}$ angle, where one end attaches to the underside of the sawhorse and the other $14^{\circ}$ angl...

Published: Sep 01, 2026

User Ikshu Neithalath - Mathematics Stack Exchange
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User Ikshu Neithalath - Mathematics Stack Exchange

Q&A for people studying math at any level and professionals in related fields

Published: Sep 01, 2026

Range of $(\sin x)^6+ (\cos x)^6$
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Range of $(\sin x)^6+ (\cos x)^6$

I need to find the range of the function $y = (\sin x)^6+ (\cos x)^6$ I did find the answer but working in a crude way rather than a methodical step by st...

Published: Sep 01, 2026

On The Horizontal And Slanted Asymptotes Of Rational Functions
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On The Horizontal And Slanted Asymptotes Of Rational Functions

I am really confused about the horizontal and slant asymptotes of a function. My textbook says that given a rational function: \begin{equation} y=f(x)=\fr...

Published: Sep 01, 2026

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