mathematica中输出超函数的命令是什么?
我有两个问题:
- Mathematica 中超级函数的命令是什么?
- 上述超函数与超空间中奇变量乘普通函数的函数有什么区别?它们是同一件事吗?
在 wikipedia 中,f 的超函数 S(z) 定义为 S(z)=f( f(f(...f(t)))) (z 总计 f)。
I have two questions:
- What is the command for a superfunction in Mathematica?
- What is the difference between above superfunction and function in superspace which is odd variables times ordinary function? Are they the same thing?
In wikipedia, a superfunction S(z) of f is defined as S(z)=f(f(f(...f(t)))) (z total f's).
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At 1:您可能要查找的命令是
Nest
:At 2:这看起来不像 Mathematica 标签的问题。似乎更多与物理/数学相关。我已相应地添加了标签。
At 1: The command you're probably looking for is
Nest
:At 2: This doesn't look like a question for the Mathematica tag. It seems more physics/math related. I have added tags accordingly.
要解决问题的第 2 部分:
除了前缀 super- 之外, < 之间没有任何关系a href="http://en.wikipedia.org/w/index.php?title=Superfunction&oldid=422143307" rel="nofollow">superfunction (意味着迭代函数)和 超级向量空间。
此外,超函数通常定义为从超空间到超数的映射,它不一定是问题中所述的奇数元素。例如,请参见超对称性和超引力的思想和方法的第 1.10 节。
To address part 2 of your question:
Besides the prefix super-, there is no relation between superfunction (meaning an iterated function) and functions in super vector spaces.
Also, a superfunction is normally defined to be a map from a superspace to a supernumber, it does not have to be an odd element as stated in your question. See, e.g., section 1.10 of Ideas and methods of supersymmetry and supergravity.