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Results tagged with terminology
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user 25510
Questions of the kind "What's the name for a X that satisfies property Y?"
1
vote
Accepted
proper use of the word "stereographic"
My standard reference for elementary geometry is the book M. Berger, Geometry.
In section 18.1.4 he defines
``stereographic projection'' in any dimension. Of course it was originally introduced
for 2 …
- 91.8k
6
votes
Accepted
Terminology question in dynamical systems
The commonly accepted term is "completely invariant". A set which is mapped to itself is called
simply "invariant" and a stronger property to coincide with its preimage is called complete invariance.
…
- 91.8k
1
vote
A function in $\mathbb{R}^n$ is equal to its linearization in each point
Such functions are linear. In dimension $1$, your equation means
$$P(x)=P'(x)x$$
Solving this differential equation we obtain $P(x)=cx$. Now in arbitrary dimension, your condition can be written as
$$ …
- 91.8k
6
votes
Funny names of mathematical objects?
"Normal family".
"Shared values" (a popular research area in the theory of meromorphic functions. Many theorems in this area say that "a family (of functions) is normal if its
members share enough v …
10
votes
What is an "exact solution" to a PDE?
There is no formal definition. This depends on context.
Those who say that "exact solution" means a "closed form solution" have to explain what a "closed form" is. A series whose coefficients are rati …
- 91.8k
6
votes
Accepted
Terminology: "sufficiently large absolute constant"
"Absolute constant" means that it does not depend on anything. For example, $3, 10^{12},\pi$ and Feigenbaum number are absolute constants. They are real numbers. "Sufficiently large" means that
the a …
- 91.8k
30
votes
The origin(s) of the word "elliptic"
The origin of all these uses is very different. Joe Silverman explained the genesis of the sequence ellipse $\rightarrow$ elliptic integral $\rightarrow$ elliptic function $\rightarrow$ elliptic curve …
- 91.8k