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Does upside down mean flipped or rotated 180 degrees? [closed]
Unsure if Math is the correct place to post this but I would like a geometric answer if possible. When we say an item is upside down, does it mean that it...
Apr 22, 2026
Archive: Updates
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How do you solve 5th degree polynomials?
I looked on Wikipedia for a formula for roots of a 5th degree polynomial, but it said that by Abel's theorem it isn't possible. The Abel's ...
Apr 22, 2026
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Correct definition of frequency density - histograms
What is the correct definition of frequency density? According to a textbook I am teaching from, frequency density is merely proportional to $\dfrac{\text...
Apr 22, 2026
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What exactly is a natural map
I have numerous questions on my abstract homework asking me to define "the natural map", though i don't see reference to it in my textbook. Let X and...
Apr 22, 2026
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Hom( , ) and Hom_F( , ) and tensor product
My professor said in his lecture, "For Abelian groups $A$, $B$, $C$ and field $F$ $\operatorname{Hom}(A,B)=\operatorname{Hom}_\mathbb{Z} (A, B)$ but ...
Apr 22, 2026
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Subtraction of fractional exponents with different bases
I wanna know if $$\left[(x^2+h)^3-(x+h)\right]^{1/2}-[x^3-x]^{1/2}=\left[(x+h)^3-(x+h)-x^3+x\right]^{1/2}.$$
Apr 22, 2026
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What's the difference between the automorphism and isomorphism of graph?
What's the difference between the automorphism and isomorphism of graph? In graph theory, an isomorphism of graphs $G$ and $H$ is a bijection between...
Apr 22, 2026
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Imaginary fraction square root?
I have a fraction - $-\frac{1}{3}$ Which could either mean the value of fraction is $\frac{-1}{3}$ or $\frac{1}{-3}$ Note the minus sign Now, what is the ...
Apr 22, 2026
updates
Archimedean spiral in cartesian coordinates
I know that the Archimedean spiral can be represented using the polar coordinate system very easily. But I was wondering if it can be represented using th...
Apr 22, 2026
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Boolean Logic using proofs
ABC' + C = AB + C I understand this using venn diagrams and intuition. However, I am not able to derive the proof for getting from one side to the ot...
Apr 22, 2026
