Cauchy

### Questions (71)

 97 Example of a very simple math statement in old literature which is (verbatim) a pain to understand 14 $\textbf Z[\sqrt{pq}]$ is not a UFD if $\left( \frac{q}p \right) = -1$ and $p \equiv 1 \pmod 4$. [duplicate] 9 $F(u) = F(u^2)$ if $u$ is algebraic of odd degree 7 Why refer to elements in this weird way? 7 If $f(x+y) = f(x) + f(y)$, $f(1) = 1$ and for all $x,y$, $f(xy) = f(x)f(y)$ or $f(xy) = f(y)f(x)$, then $f$ is a homomorphism or an anti-homomorphism

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 17 Math subject GRE Exam 9768 Q.16 10 Is $x\ln(x)$ uniformly continuous on $(0,1]$ 8 Why $0 \delta(0)=0$? 7 A quicker approach to the integral $\int{dx\over{(x^3+1)^3}}$ 6 Is there an error in this problem? $\sin^4(\frac{23\pi}{12})-\cos^4(\frac{13\pi}{12})$

### Tags (106)

 18 vectors × 3 8 group-theory × 17 17 gre-exam 8 inequality × 4 14 abstract-algebra × 52 8 calculus × 2 14 real-analysis × 11 8 dirac-delta 10 linear-algebra × 9 8 education

### Bookmarks (75)

 147 Do most mathematicians know most topics in mathematics? 121 Why are the solutions of polynomial equations so unconstrained over the quaternions? 114 Construction of a Borel set with positive but not full measure in each interval 107 What exactly is the difference between a derivative and a total derivative? 58 Why does the discriminant in the Quadratic Formula reveal the number of real solutions?

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