query: Real Analysis, Folland problem 5.5.36
positive_passages.docid: 16220
positive_passages.text: Folland, "Real Analysis", Chapter 5.3, Exercise 36.
negative_passages.docid: 56682
negative_passages.text: Real analysis contradiction I cannot get rid of
negative_passages.docid: 128634
negative_passages.text: Doubt related to a theorem in congruences of Chapter 5 of Apostol Introduction to analytic number theory
negative_passages.docid: 107254
negative_passages.text: Real analysis question $e^{-1/x^2}$
negative_passages.docid: 65873
negative_passages.text: A proof for Atiyah-Macdonald Exercise I.21.iii
negative_passages.docid: 52470
negative_passages.text: Spivak's Calculus - Exercise 4.a of 2nd chapter
negative_passages.docid: 76148
negative_passages.text: Show that $\exists c \in \mathbb{R} : f(c) = 0$
negative_passages.docid: 152976
negative_passages.text: Real Analysis: open and closed sets
negative_passages.docid: 60520
negative_passages.text: Upper bound for $|f(0)|$ based on its behavior within the unit disk.
negative_passages.docid: 99737
negative_passages.text: Using Rouché's theorem to find a compact domain for the roots of a polynomial
negative_passages.docid: 71487
negative_passages.text: Real Analysis: Continuity of a Composition Function
negative_passages.docid: 102717
negative_passages.text: Real analysis of powers
negative_passages.docid: 50057
negative_passages.text: Complex analysis and Cauchy Residue theorem
negative_passages.docid: 48804
negative_passages.text: Enumeration of rationals from Stein-Shakarchi's Real Analysis (Chapter 1, Exercise 24)
negative_passages.docid: 125474
negative_passages.text: Exercise 16 from chapter 3 of Stein & Shakarchi's complex analysis
negative_passages.docid: 157328
negative_passages.text: A complex analysis problem to prove an inequality
negative_passages.docid: 55232
negative_passages.text: Show that $g\circ f\equiv 0$ implies $\det Df\equiv 0$, where $g(x_1,...,x_n)=x_1^5+...+x_n^5$