query: Is there a function such that f(x)= the decimal part of x ( sister function of integer part function).
positive_passages.docid: 20988
positive_passages.text: Notation for specifying the fractional part of a number
negative_passages.docid: 88097
negative_passages.text: Fourier series for $f(x)=(\pi -x)/2$
negative_passages.docid: 144018
negative_passages.text: Integration by parts for f(x).g(x)
negative_passages.docid: 29647
negative_passages.text: Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
negative_passages.docid: 1071
negative_passages.text: Determine all functions $f:\mathbb{N}\rightarrow\mathbb{N}$ such that $xf(y)+yf(x)=(x+y)f(x^2+y^2)$ for all $x,y\in\mathbb{N}$ (contest question)
negative_passages.docid: 28286
negative_passages.text: About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
negative_passages.docid: 6482
negative_passages.text: Why aren't the functions $f(x) = \frac{x-1}{x-1}$ and $f(x) = 1$ the same?
negative_passages.docid: 142682
negative_passages.text: Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
negative_passages.docid: 101512
negative_passages.text: Is there an numeric arithmetic with a single operator?
negative_passages.docid: 1394
negative_passages.text: How do we know that $F = ma$, not $F = k \cdot ma$
negative_passages.docid: 134132
negative_passages.text: How to calculate the integer part of the value of the following equation?
negative_passages.docid: 100378
negative_passages.text: Are there "All" and "Any" functions in Mathematica?
negative_passages.docid: 39090
negative_passages.text: Finding functions such that $f(g(x)) = f(x)g(x)$
negative_passages.docid: 41226
negative_passages.text: Find $f:f(xf(x)+f(y))=f(x)^2+y$
negative_passages.docid: 41779
negative_passages.text: Is $x/x$ equal to $1$
negative_passages.docid: 129052
negative_passages.text: Find all functions satisfying $\frac{1}{f(a)}+ \frac{1}{f(b)} = \frac{1}{f(c)} $ whenever $\frac{1}{a}+ \frac{1}{b} = \frac{1}{c} $
negative_passages.docid: 28927
negative_passages.text: IMO 1987 - function such that $f(f(n))=n+1987$