query: Square Root of a Function With Respect to Composition
positive_passages.docid: 146152
positive_passages.text: Characterising functions $f$ that can be written as $f = g \circ g$?
negative_passages.docid: 144244
negative_passages.text: Bound on difference between irrational square root and rational number
negative_passages.docid: 124523
negative_passages.text: Finding an Inverse Function and Composition of Functions?
negative_passages.docid: 12020
negative_passages.text: Prove $\sqrt{n+1}-\sqrt{n}\lt \frac{1}{2\sqrt{n}}$
negative_passages.docid: 143466
negative_passages.text: Roots of functions / polynomials
negative_passages.docid: 142768
negative_passages.text: Approximation of $\sqrt{2}$
negative_passages.docid: 10024
negative_passages.text: How to prove $(f \circ\ g) ^{-1} = g^{-1} \circ\ f^{-1}$? (inverse of composition)
negative_passages.docid: 152831
negative_passages.text: When does a complex matrix have a square root?
negative_passages.docid: 100995
negative_passages.text: For what $x$ : $2\sqrt{x}+\dfrac{1}{\sqrt{x+1}} \leq 2\sqrt{x+1}$
negative_passages.docid: 87111
negative_passages.text: Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$
negative_passages.docid: 16092
negative_passages.text: How to prove that the composition of two surjective functions is surjective
negative_passages.docid: 112368
negative_passages.text: Is there a rule for $\sqrt{a+b}$?
negative_passages.docid: 14952
negative_passages.text: Prove: $\frac{x}{\sqrt{y}}+\frac{y}{\sqrt{x}}\geq \sqrt{x}+\sqrt{y}$
negative_passages.docid: 82462
negative_passages.text: Square Root Algorithm
negative_passages.docid: 19
negative_passages.text: Why is the square root of a sum not equal to the square root of each its addends?
negative_passages.docid: 110142
negative_passages.text: 1-1 Function Composition
negative_passages.docid: 107142
negative_passages.text: If $(x_n) \to x$ then $(\sqrt[n]{x_1x_2\cdots x_n}) \to x$