query: Concerning $f(x_1, \dots , x_n)$
positive_passages.docid: 26529
positive_passages.text: How to identify "naturally" two subspaces?
negative_passages.docid: 31522
negative_passages.text: Proving $f$ has at least one zero inside unit disk
negative_passages.docid: 14830
negative_passages.text: A transformation of F[x]
negative_passages.docid: 152841
negative_passages.text: I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
negative_passages.docid: 50552
negative_passages.text: find functions that $f(m+k)=f(mk-n)$
negative_passages.docid: 4498
negative_passages.text: Proof that $\|fx\| \leq \|f\|\cdot\|x\|$
negative_passages.docid: 107727
negative_passages.text: $m\{x\in [0,1]:f'(x)=0\}>0$
negative_passages.docid: 45885
negative_passages.text: If there exist sequence such that $g(x_n)=f(x_{n+1})$, then we have $g(x_0)=f(x_0)$ for some $x_0$
negative_passages.docid: 17670
negative_passages.text: If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
negative_passages.docid: 28007
negative_passages.text: Assuming: $\forall x \in [0,1]:f(x) > x$ Prove: $\forall x \in [0,1]:f(x) > x + \varepsilon $
negative_passages.docid: 104263
negative_passages.text: How to show that $f'(x)<2f(x)$
negative_passages.docid: 153121
negative_passages.text: show that $\{x_n\}$ is a cauchy sequence
negative_passages.docid: 28088
negative_passages.text: When is $f_{xy}(x,y)\neq f_{yx}(x,y)?$
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: 153510
negative_passages.text: Questions about the existence of a function
negative_passages.docid: 89186
negative_passages.text: Showing that $\frac{X_{(i)}}{X_{(n)}},i=1,2,...,n-1$ and $X_{(n)}$ are independent for a population with df $F(y)=y^{\theta}$
negative_passages.docid: 91947
negative_passages.text: Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$