query: What is the volume of the solid defined by $x^4+y^4+z^4=1$ enclosed in a box of unit length?
positive_passages.docid: 28511
positive_passages.text: Hypervolume of a $N$-dimensional ball in $p$-norm
negative_passages.docid: 22573
negative_passages.text: Volume of $T_n=\{x_i\ge0:x_1+\cdots+x_n\le1\}$
negative_passages.docid: 95863
negative_passages.text: Describe the units in $\mathbb{Z}[\sqrt{-d}]$
negative_passages.docid: 37936
negative_passages.text: Solve for z^8-z^4+1 = 0
negative_passages.docid: 106431
negative_passages.text: Remaining volume of a sphere
negative_passages.docid: 122430
negative_passages.text: How to plot and find the volume of a solid?
negative_passages.docid: 48337
negative_passages.text: Complex numbers equation: $z^4 = -16$
negative_passages.docid: 53777
negative_passages.text: Why is $\gcd(x^4+1,x^2-1) = 1$ but I get $2$? [unit normalization of gcds]
negative_passages.docid: 76901
negative_passages.text: Find the volume of a cone whose length of its side is $R$
negative_passages.docid: 53575
negative_passages.text: Describe $R=\mathbb{Z}[X]/(X^2-3,2X+4)$
negative_passages.docid: 85917
negative_passages.text: Solve $(x+1)^y-x^z=1$
negative_passages.docid: 140436
negative_passages.text: Volume of the solid generated by revolving the region R enclosed by the curve - Disk and Shell method
negative_passages.docid: 67899
negative_passages.text: Integer squares of the form $x^4+x^3+x^2+x+1$
negative_passages.docid: 153422
negative_passages.text: How to find the corrsponding expression after working with natural units $\hbar=c=1$?
negative_passages.docid: 125274
negative_passages.text: For $x+y=1$, show that $x^4+y^4\ge \frac{1}{8}$
negative_passages.docid: 113268
negative_passages.text: Proving $x^4+y^4=z^2$ has no integer solutions
negative_passages.docid: 50283
negative_passages.text: Find answer of $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{y+x}=4$