query: Number theorems 1a 1b 2a 2b 2c
positive_passages.docid: 16152
positive_passages.text: How do I get sub-numbering for theorems (Theorem 1.A., Theorem 1.B., Theorem 2.)?
negative_passages.docid: 17758
negative_passages.text: Theorem numbering
negative_passages.docid: 136318
negative_passages.text: Where does the power $2$ come from in the Pythagorean theorem?
negative_passages.docid: 140140
negative_passages.text: An identity which applies to all of the natural numbers
negative_passages.docid: 120065
negative_passages.text: Niven’s theorem proof.
negative_passages.docid: 77547
negative_passages.text: Find integers $a,b,c,d$ such that
negative_passages.docid: 34938
negative_passages.text: Recalling a theorem
negative_passages.docid: 40080
negative_passages.text: Sum of multiples of $2$ coprime numbers cover positive integers
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 48268
negative_passages.text: How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
negative_passages.docid: 45460
negative_passages.text: Proof verification of a number theory problem involving sequences.
negative_passages.docid: 73050
negative_passages.text: Explanation of the binomial theorem and the associated Big O notation
negative_passages.docid: 51706
negative_passages.text: If $(k,l) = 1$, show that $(b_2k-b_1l, a_1l-a_2k) = 1$ for $a_1b_2-a_2b_1=1$
negative_passages.docid: 39908
negative_passages.text: Finding the error in this proof that 1=2
negative_passages.docid: 50655
negative_passages.text: Proof of $f^{-1}(B_{1}\setminus B_{2}) = f^{-1}(B_{1})\setminus f^{-1}(B_{2})$
negative_passages.docid: 65923
negative_passages.text: How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
negative_passages.docid: 6777
negative_passages.text: Showing $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$