query: Infinite product of cosine functions
positive_passages.docid: 27579
positive_passages.text: Evaluating the infinite product $ \prod\limits_{n=1}^{\infty} \cos(\frac{y}{2^n}) $
negative_passages.docid: 34440
negative_passages.text: Finding Value of the Infinite Product $\prod \Bigl(1-\frac{1}{n^{2}}\Bigr)$
negative_passages.docid: 133279
negative_passages.text: Does $\lim_{n\to\infty}\underset{n}{\underbrace{\cos(\cos(...\cos x))}}$ exist?
negative_passages.docid: 88708
negative_passages.text: An integration of product $(1-x^n)$
negative_passages.docid: 21407
negative_passages.text: Every power series is the Taylor series of some $C^{\infty}$ function
negative_passages.docid: 87636
negative_passages.text: A Product function for matrix products
negative_passages.docid: 151919
negative_passages.text: Cauchy-Product of non-absolutely convergent series
negative_passages.docid: 124552
negative_passages.text: Notation for infinite product in reverse order
negative_passages.docid: 86194
negative_passages.text: Infinite series with the binomial coefficient
negative_passages.docid: 135895
negative_passages.text: Proving the bounds of cosine
negative_passages.docid: 130664
negative_passages.text: Find value of infinite product
negative_passages.docid: 75019
negative_passages.text: Infinite Cartesian product of countable sets is uncountable
negative_passages.docid: 34836
negative_passages.text: Composition of Absolutely Continuous Functions
negative_passages.docid: 1751
negative_passages.text: When does the tensor product distribute over an infinite direct product?
negative_passages.docid: 30480
negative_passages.text: Continued product in $\sin$ series
negative_passages.docid: 53213
negative_passages.text: How to prove that $\lim(\underset{k\rightarrow\infty}{\lim}(\cos(|n!\pi x|)^{2k}))=\chi_\mathbb{Q}$
negative_passages.docid: 6558
negative_passages.text: Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$