query: Different results when using different ways to calculate a function y = f(x)
positive_passages.docid: 43
positive_passages.text: Is floating point math broken?
negative_passages.docid: 157920
negative_passages.text: Can I define $y=y(x)$?
negative_passages.docid: 81720
negative_passages.text: $f(x) + f(x+f(y)) = y + f(f(x) + f(f(y)))$
negative_passages.docid: 121455
negative_passages.text: $f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$
negative_passages.docid: 131586
negative_passages.text: Hard functional equation: $ f \big ( x y + f ( x ) \big) = f \big( f ( x ) f ( y ) \big) + x $
negative_passages.docid: 31922
negative_passages.text: Integral of $\sin x \cos x$ using two methods differs by a constant?
negative_passages.docid: 66406
negative_passages.text: How to calculate $f(x)$ in $f(f(x)) = e^x$?
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: 66772
negative_passages.text: $f(f(x)f(y))+f(x+y)=f(xy)$
negative_passages.docid: 49211
negative_passages.text: Solving $f(x+y) = f(x)f(y)f(xy)$
negative_passages.docid: 74100
negative_passages.text: How do you solve $f'(x) = f(f(x))$?
negative_passages.docid: 48925
negative_passages.text: BMO1 2009/10 Q5 functional equation: $f(x)f(y) = f(x + y) + xy$
negative_passages.docid: 100422
negative_passages.text: What is the difference between using the multiplication rule or using Venn diagram subtraction for probability?
negative_passages.docid: 86367
negative_passages.text: Computing $f(x)$ if $\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x\int_1^y f(t) dt$ and $f(1) = 3$
negative_passages.docid: 41226
negative_passages.text: Find $f:f(xf(x)+f(y))=f(x)^2+y$
negative_passages.docid: 53024
negative_passages.text: $f(x)f(1/x)=f(x)+f(1/x)$
negative_passages.docid: 122329
negative_passages.text: Determine all functions $f(x)$ such that $f(f(x+y))=f(x)+f(y)$