query: The permutation of the signs of sum and integration
positive_passages.docid: 21775
positive_passages.text: When can a sum and integral be interchanged?
negative_passages.docid: 145255
negative_passages.text: Fibonacci, tribonacci and other similar sequences
negative_passages.docid: 105237
negative_passages.text: Alternating sum of binomial coefficients identity
negative_passages.docid: 17435
negative_passages.text: Big integral sign
negative_passages.docid: 15666
negative_passages.text: explanation for a combinatorial identity involving the binomial coefficient
negative_passages.docid: 108688
negative_passages.text: An identity involving products of sums
negative_passages.docid: 41726
negative_passages.text: Musical and combinatorial proof
negative_passages.docid: 33104
negative_passages.text: Combinatorial Proof with Summation Identity
negative_passages.docid: 42062
negative_passages.text: Interpretation of a combinatorial expression
negative_passages.docid: 60416
negative_passages.text: Finding a permutation, and number of, from powers of the permutation
negative_passages.docid: 56828
negative_passages.text: A combinatorial proof that the alternating sum of binomial coefficients is zero
negative_passages.docid: 27260
negative_passages.text: Infinite product with sign changes.
negative_passages.docid: 88708
negative_passages.text: An integration of product $(1-x^n)$
negative_passages.docid: 17267
negative_passages.text: Interchanging the order of differentiation and summation
negative_passages.docid: 107021
negative_passages.text: Finding a combinatorial argument for an interesting identity: $\sum_k \binom nk \binom{m+k}n = \sum_i \binom ni \binom mi 2^i$
negative_passages.docid: 19101
negative_passages.text: Permutation induced by a partition
negative_passages.docid: 58321
negative_passages.text: Convergence of "alternating" harmonic series where sign is +, --, +++, ----, etc.